Download DMATH Fact Sheet
Publications
In press
Multivariate stable approximation in Wasserstein distance by Stein's method; ; ;
in Journal of Theoretical Probability (in press)
Limit theorems for additive functionals of the fractional Brownian motion; ; ;
in Annals of Probability (in press)
A generalization of Bohr-Mollerup's theorem for higher order convex functions: A tutorial;
in Aequationes Mathematicae (in press)
A remark on Schröder's equation: Formal and analytic linearization of iterative roots of the power series f(z)=z;
in Monatshefte für Mathematik (in press)
2023
Small Scale CLTs for the Nodal Length of Monochromatic Waves; ; ;
in Communications in Mathematical Physics (2023), 397(1), 1-36
Nonstandard n-distances based on certain geometric constructions;
in Beiträge zur Algebra und Geometrie (2023), 64(1), 107-126
2022
Non-integrable stable approximation by Stein's method; ; ; ;
in Journal of Theoretical Probability (2022)
Reducibility of n-ary semigroups: from quasitriviality towards idempotency; ; ;
in Beiträge zur Algebra und Geometrie (2022), 63(1), 149-166
Asymptotic error distribution for the Riemann approximation of integrals driven by fractional Brownian motion; ;
in Electronic Journal of Probability (2022)
Many-valued coalgebraic modal logic with a semi-primal algebra of truth-degrees; ;
Scientific Conference (2022, September 07)
Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields;
E-print/Working paper (2022)
A generalization of Bohr-Mollerup's theorem for higher order convex functions;
Book published by Springer (2022)
Multivariate normal approximation on the Wiener space: new bounds in the convex distance; ;
in Journal of Theoretical Probability (2022)
Asymptotic behaviour of large Gaussian correlated Wishart matrices;
in Journal of Theoretical Probability (2022)
The Minor Order of Homomorphisms via Natural Dualities;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2022)
2021
Limit theorems for integral functionals of Hermite-driven processes; ; ;
in Bernoulli (2021), 27(3), 1764-1788
Approximation of Fractional Local Times: Zero Energy and Derivatives; ;
in Annals of Applied Probability (2021), In press
Local times and sample path properties of the Rosenblatt process; ; ;
in Stochastic Processes and Their Applications (2021), 131
A chain of adjuntions between BA and the variety generated by a semi-primal bounded lattice expansion; ;
Scientific Conference (2021, June 12)
The Breuer-Major Theorem in total variation: improved rates under minimal regularity; ;
in Stochastic Processes and Their Applications (2021), 131
Gaussian fluctuation for Gaussian Wishart matrices of overall correlation;
E-print/Working paper (2021)
2020
Freeness characterisations on free chaos spaces;
in Pacific Journal of Mathematics (2020), 305(2), 447-472
Continuous Breuer-Major theorem: tightness and non-stationarity; ;
in Annals of Probability (2020), 48(1), 147-177
Stein's method for asymmetric alpha-stable distributions, with application to the stable CLT; ;
in Journal of Theoretical Probability (2020)
Associative, idempotent, symmetric, and order-preserving operations on chains;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2020), 37(1), 45-58
On the best constants associated with n-distances;
in Acta Mathematica Hungarica (2020), 161(1), 341-365
Restricted hypercontractivity on the Poisson space; ;
in Proceedings of the American Mathematical Society (2020), 148
Extending maps to profinite completions in finitely generated quasivarieties;
in Beiträge zur Algebra und Geometrie (2020), 61(4), 627-647
2019
Almost sure limit theorems on Wiener chaos: the non-central case;
in Electronic Communications in Probability (2019), 24(9), 1-12
Quasitrivial semigroups: characterizations and enumerations; ;
in Semigroup Forum (2019), 98(3), 472498
Phase singularities in complex arithmetic random waves; ; ;
in Electronic Journal of Probability (2019), 24(71), 1-45
Characterizations of idempotent n-ary uninorms; ;
in 38th Linz Seminar on Fuzzy Set Theory (2019, February 05)
Characterizations of quasitrivial symmetric nondecreasing associative operations; ;
in Semigroup Forum (2019), 98(1), 154-171
On idempotent n-ary uninorms; ;
in Torra, Vicenç; Narukawa, Yasuo; Pasi, Gabriella; Viviani, Marco (Eds.) Modeling Decisions for Artifical Intelligence (2019, July 24)
Characterizations and classifications of quasitrivial semigroups; ;
Scientific Conference (2019, March 03)
Nodal Statistics of Planar Random Waves; ;
in Communications in Mathematical Physics (2019), 369(1), 99-151
Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality; ;
in Electronic Communications in Probability (2019), 24(34), 1-12
Statistical inference for Vasicek-type model driven by Hermite processes;
in Stochastic Processes and Their Applications (2019), 129(10), 3774-3791
2018
Weak symmetric integrals with respect to the fractional Brownian motion; ;
in Annals of Probability (2018), 46(4), 2243-2267
Associative and quasitrivial operations on finite sets: characterizations and enumeration; ;
Scientific Conference (2018, July 02)
Pivotal decomposition schemes inducing clones of operations;
in Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry (2018), 59(1), 25-40
Characterizations of nondecreasing semilattice operations on chains;
Scientific Conference (2018, June 01)
On associative, idempotent, symmetric, and nondecreasing operations;
Scientific Conference (2018, July 02)
A generalization of the concept of distance based on the simplex inequality; ;
in Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry (2018), 59(2), 247266
Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization; ; ;
in Probability and Mathematical Statistics (2018), 38(2), 271-286
Concentration of the Intrinsic Volumes of a Convex Body; ; ; ;
in Geometric Aspects of Functional Analysis – Israel Seminar (GAFA) 2017-2019 (2018)
Categories of coalgebras for modal extensions of Łukasiewicz logic;
Scientific Conference (2018, August 27)
2017
On idempotent discrete uninorms; ;
in De Baets, Bernard; Torra, Vicenç; Mesiar, Radko (Eds.) Aggregation Functions in Theory and in Practice (2017, June)
Sur les uninormes discrètes idempotentes; ;
in Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc (Eds.) LFA 2017 - Rencontres francophones sur la logique floue et ses applications (2017, October)
On conservative and associative operations on finite chains; ;
Scientific Conference (2017, June 16)
Gaussian Phase Transitions and Conic Intrinsic Volumes: Steining the Steiner Formula; ;
in Annals of Applied Probability (2017), 27(1), 1-47
Recent results on conservative and symmetric n-ary semigroups; ;
Scientific Conference (2017, June 16)
Associative and quasitrivial operations on finite sets (invited lecture); ;
Scientific Conference (2017, November 10)
A classification of polynomial functions satisfying the Jacobi identity over integral domains;
in Aequationes Mathematicae (2017), 91(4), 601-618
Probability signatures of multistate systems made up of two-state components; ; ;
Scientific Conference (2017, July)
Joint signature of two or more systems with applications to multistate systems made up of two-state components; ; ;
in European Journal of Operational Research (2017), 263(2), 559-570
Modal Extensions of Łukasiewicz Logic for Modeling Coalitional Power;
in Journal of Logic and Computation (2017), 27(1), 129-154
2016
Multivariate Gaussian approxi- mations on Markov chaoses; ; ;
in Electronic Communications in Probability (2016), 21
Conservative median algebras and semilattices; ;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2016), 33(1), 121-132
Relaxations of associativity and preassociativity for variadic functions; ;
in Fuzzy Sets and Systems (2016), 299
Generalized Sugeno Integrals; ; ;
in Information Processing and Management of Uncertainty in Knowledge-Based Systems, Part I (2016)
A characterisation of associative idempotent nondecreasing functions with neutral elements; ; ; ;
Scientific Conference (2016, June)
An extension of the concept of distance as functions of several variables; ;
in De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanne; Klement, Erich Peter (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (2016, February)
International Symposium on Aggregation and Structures (ISAS 2016) - Book of abstracts; ;
Book published by NA (2016)
Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization; ; ;
in Probability and Mathematical Statistics (2016)
Squared chaotic random variables: new moment inequalities with applications; ; ;
in Journal of Functional Analysis (2016), 270(2), 649-670
A characterization of barycentrically preassociative functions;
in Results in Mathematics (2016), 69(1), 245-256
The mathematics behind the property of associativity;
in De Baets, Bernard; Mesiar, Radko; Saminger-Platz, Susanne; Klement, Erich Peter (Eds.) 36th Linz Seminar on Fuzzy Set Theory (LINZ 2016) - Functional Equations and Inequalities (2016, February)
Strongly barycentrically associative and preassociative functions;
in Journal of Mathematical Analysis and Applications (2016), 437(1), 181-193
Fisher information and the Fourth Moment Theorem;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2016), 52(2), 849-867
Quantitative stable limit theorems on the Wiener space; ;
in Annals of Probability (2016), 44(1), 1-41
Strong asymptotic independence on Wiener chaos; ;
in Proceedings of the American Mathematical Society (2016), 144(2), 875-886
Classical and free fourth moment theorems: universality and thresholds; ; ;
in Journal of Theoretical Probability (2016), 29(2), 653-680
Multidimensional limit theorems for homogeneous sums : a general transfer principle; ; ;
in ESAIM: Probability and Statistics (2016), 20
Asymptotic behaviour of the cross-variation of some integral long memory processes;
in Probability and Mathematical Statistics (2016), 36(1),
Convergence in law implies convergence in total variation for polynomials in independent Gaussian, Gamma or Beta random variables;
in Progress in Probability (2016), 71
Power series solutions of Tarski's associativity law and of the cyclic associativity law;
in Aequationes Mathematicae (2016), 90(2), 411425
Median algebra with a retraction: an example of variety closed under natural extensionPresentation (2016, January 14)
Strongly barycentrically associative and preassociative functions;
Scientific Conference (2016, November 08)
2015
Local universality of the number of zeros of random trigonometric polynomials with continuous coefficients; ; ; ;
E-print/Working paper (2015)
La logique floue et ses applications; ; ;
in Revue d'Intelligence Artificielle (2015), 29(5), 489-619
A complete classification of equational classes of threshold functions included in clones; ;
in RAIRO: Recherche Opérationnelle (2015), 49(1), 3966
Agrégation des valeurs médianes et fonctions compatibles pour la comparaison; ;
in Lefèvre, Erice; Hadjali, Allel (Eds.) Rencontres francophones sur la logique floue et ses applications 2015 (2015, November)
Median Preserving Aggregation Functions; ;
in Baczyński, Michal; De Baets, Bernard; Mesiar, Radko (Eds.) Proceedings of the 8th Int. Summer School on Aggregation Operators (2015, July)
Clones of Pivotally Decomposable Functions;
in Multiple-Valued Logic (ISMVL), 2015 IEEE International Symposium on (2015, May 20)
Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra; ; ;
in Alonso, José M.; Bustince, Humberto; Reformat, Marek (Eds.) Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (2015, July)
Stein's method, logarithmic Sobolev and transport inequalities; ;
in Geometric and Functional Analysis (2015), 25
Algorithms and formulas for conversion between system signatures and reliability functionsin Journal of Applied Probability (2015), 52(2), 490-507
Generalizations and variants of associativity for variadic functions: a survey (invited talk)Scientific Conference (2015, June 17)
A classification of barycentrically associative polynomial functions; ;
in Aequationes Mathematicae (2015), 89(5), 1281-1291
Barycentrically associative and preassociative functions;
in Acta Mathematica Hungarica (2015), 145(2), 468-488
Generalizations and variants of associativity for aggregation functions (2-hour tutorial);
in Baczyński, Michal; De Baets, Bernard; Mesiar, Radko (Eds.) Proceedings of the 8th Int. Summer School on Aggregation Operators (2015, July)
The optimal fourth moment theorem;
in Proceedings of the American Mathematical Society (2015), 143(7), 3123-3133
Dichotomy on intervals of strong partial Boolean clonesin Algebra Universalis (2015), 73(3), 347-368
Strongly barycentrically associative and preassociative functionsScientific Conference (2015, June 17)
2014
An analogue of Cobham's theorem for graph directed iterated function systems; ;
in Advances in Mathematics (2014)
Hypomorphic Sperner systems and non-reconstructible functions; ;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2014)
Quasi-Lovász extensions on bounded chains;
in Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R. (Eds.) 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, Montpellier, France, July 15-19, 2014. Proceedings, Part I (2014, July 22)
Invariance principles for homogeneous sums of free random variables;
in Bernoulli (2014), 20(2), 586-603
Associative Formal Power Series in Two Indeterminates; ; ;
in Semigroup Forum (2014), 88(3), 529-540
Countable intervals of partial clones;
in Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on (2014)
A modal logic to reason about degrees of coalitional effectivity;
in Lauber, Jimmy; Bisgambiglia, Paul-Antoine (Eds.) Rencontres francophones sur la logique floue et ses applications 2014 (2014, November)
Reasoning about coalitional effectivity in modal extension of Lukasiewicz logic;
Scientific Conference (2014, July 29)
An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n + 1) - p(n) ≤ 2in Discrete Mathematics and Theoretical Computer Science (2014), 16(1), 233--286
Analyse de fiabilité des systèmes et description par des polynômes latticielsPresentation (2014, March 07)
Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticielsPresentation (2014, October 23)
Computing subsignatures of systems with exchangeable component lifetimesin Statistics and Probability Letters (2014), 94
On the use of power indexes in reliability theory (invited lecture)Scientific Conference (2014, November 07)
Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach;
in Discrete Applied Mathematics (2014), 179
On structure signatures and probability signatures of general decomposable systems (invited talk); ;
Scientific Conference (2014, June 16)
Preassociative aggregation functions;
in Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R. (Eds.) 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, Montpellier, France, July 15-19, 2014. Proceedings, Part III (2014, July 22)
Entropy and the fourth moment phenomenon; ;
in Journal of Functional Analysis (2014), 266(5), 3170-3207
Integration by parts and representation of information functionals; ;
in Abstract book of 2014 IEEE International Symposium on Information Theory (ISIT) (2014)
Comparison inequalities on the Wiener space; ;
in Stochastic Processes and Their Applications (2014), 124(4), 1566-1581
Asymptotic independence of multiple Wiener-Itô integrals and the resulting limit laws;
in Annals of Probability (2014), 42(2), 497-526
Central and non-central limit theorems in a free probability setting;
in Journal of Theoretical Probability (2014), 27(1), 220-248
An Itô's type formula for the fractional Brownian motion in Brownian time;
in Electronic Journal of Probability (2014), 19(99), 1-15
Relation graphs and partial clones on a 2-element set.; ; ;
in Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on (2014)
Partial R-clones;
in Multiple-Valued Logic (ISMVL), 2014 IEEE 44rd International Symposium on (2014)
Goldblatt-Thomason Theorem for Łukasiewicz finitely-valued modal languagein Flaminio, Tommaso; Godo, Lluis; Gottwald, Siegfried; Klement, Erich Peter (Eds.) Graded Logical Approaches and their Applications - Abstracts (2014)
Graded modal logic to reason about the power of attributes in multicriteria decision makingScientific Conference (2014, October 29)
Propositional Dynamic Logic for Searching Games with Errorsin Journal of Applied Logic (2014), 12(4), 377-394
Generalized Dhombres equations in the complex domain a survey;
in ESAIM:Proceedings and Surveys (2014, November)
Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity;
in ESAIM: Proceedings and Surveys (2014), 46
2013
A complete classification of equational classes of threshold functions included in clones; ;
E-print/Working paper (2013)
Sur des classes de fonctions à seuil caractérisables par des contraintes relationnelles; ;
in Marichal, Jean-Luc; Essounbouli, Najib; Guelton, Kevin (Eds.) Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France (2013, October)
On comonotonically modular functions;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
Fourth moment theorem and q-Brownian chaos; ;
in Communications in Mathematical Physics (2013), 321(1), 113-134
Do the properties of an $S$-adic representation determine factor complexity?; ;
in Journal of Integer Sequences (2013), 16(2), 132630
Parameter estimation for alpha-fractional bridges;
in Malliavin calculus and stochastic analysis (2013)
Extending Łukasiewicz Logics with a Modality: Algebraic Approach to Relational Semantics;
in Studia Logica (2013), 101(3), 505-545
An analogue of Cobham's theorem for graph directed iterated function systemsPresentation (2013, December)
A bridge between graph directed iterated function systems and Büchi automataScientific Conference (2013, November)
An S-adic characterization of minimal subshifts with first difference of complexity 1 <=p(n+1)-p(n)<=2E-print/Working paper (2013)
Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France; ;
Book published by Université de Reims Champagne-Ardenne (2013)
Computing system signatures through reliability functions;
in Statistics and Probability Letters (2013), 83(3), 710-717
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes;
in Journal of Multivariate Analysis (2013), 115
Fonctions d’agrégation barycentriquement associatives;
in Marichal, Jean-Luc; Essounbouli, Najib; Guelton, Kevin (Eds.) Actes des 22èmes rencontres francophones sur la Logique Floue et ses Applications, 10-11 octobre 2013, Reims, France (2013, October)
Pivotal decompositions of aggregation functions;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
On the cardinality index of fuzzy measures and the signatures of coherent systems;
in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)
Absolute continuity and convergence of densities for random vectors on Wiener chaos; ; ;
in Electronic Journal of Probability (2013), 18(22), 1--19
Multidimensional semicircular limits on the free Wigner chaos; ;
in The Ascona Proceedings, 2011 (2013)
Convergence in total variation on Wiener chaos;
in Stochastic Processes and Their Applications (2013), 123
An invariance principle under the total variation distance;
in Stochastic Processes and Their Applications (2013)
On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type;
in Computational Methods and Function Theory (2013), 13(3), 383-395
On the characterization of generalized Dhombres equations having non constant local analytic or formal solutions;
in Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Computatorica (2013), 41
Some remarks to the formal and local theory of the generalized Dhombres functional equation;
in Results in Mathematics (2013), 63(1-2), 377-395
A Solution to a Problem of D. Lau: Complete Classification of Intervals in the Lattice of Partial Boolean Clones; ; ;
in Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on (2013)
Intersections with Slupecki Partial Clones on a Finite Set;
in Multiple-Valued Logic (ISMVL), 2013 IEEE 43rd International Symposium on (2013, May)
On the characterization of generalized Dhombres functional equationsScientific Conference (2013, May 23)
2012
Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants; ; ;
in Latin American Journal of Probability and Mathematical Statistics (2012), 9(2), 473--500
A generalization of Completely Separating Systems;
in Discrete Mathematics (2012), 312(22), 3213-3227
Using Choquet integral in Machine Learning: what can MCDA bring?; ; ; ;
in DA2PL' 2012 - from Multiple Criteria Decision Aid to Preference Learning (2012)
Polynomial functions over bounded distributive lattices;
in Journal of Multiple-Valued Logic and Soft Computing (2012), 18(3-4), 247-256
Quasi-extensions de Lovász et leur version symétrique;
in Rencontres francophones sur la logique floue et ses applications 2012 (2012, November 15)
Quasi-Lovász extensions and their symmetric counterparts;
in Greco, S.; Bouchon-Meunier, B.; Coletti, G.; Fedrizzi, M.; Matarazzo, B.; Yager, R. R. (Eds.) Advances on Computational Intelligence, Part IV, 14th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV (2012)
Hierarchies of local monotonicities and lattice derivatives for Boolean and pseudo-Boolean functions; ;
in Miller, D. Michael; Gaudet, Vincent C. (Eds.) 42nd IEEE International Symposium on Multiple-Valued Logic, ISMVL 2012, Victoria, BC, Canada, May 14-16, 2012 (2012)
Locally monotone Boolean and pseudo-Boolean functions; ;
in Discrete Applied Mathematics (2012), 160(12), 1651-1660
Convergence of Wigner integrals to the tetilla law;
in ALEA: Latin American Journal of Probability and Mathematical Statistics (2012), 9
Reliability of systems with dependent components based on lattice polynomial description;
in Stochastic Models (2012), 28(1), 167-184
$S$-adic conjecture and Bratteli diagrams;
in Comptes Rendus. Mathématique (2012), 350(21-22), 979--983
Some improvements of the $S$-adic conjecturein Advances in Applied Mathematics (2012), 48(1), 79--98
A classification of bisymmetric polynomial functions over integral domains of characteristic zero;
in Aequationes Mathematicae (2012), 84(1-2), 125-136
Symmetric approximations of pseudo-Boolean functions with applications to influence indexes;
in Applied Mathematics Letters (2012), 25(8), 1121-1126
Convergence in law in the second Wiener/Wigner chaos;
in Electronic Communications in Probability (2012), 17(36),
Counting the maximal partial clones on a finite setin Journal of Multiple-Valued Logic and Soft Computing (2012), 18(2), 153-165
A Sheffer-criterion for partial 4-valued logicin Journal of Multiple-Valued Logic and Soft Computing (2012), 18(2), 167-199
Some aspects of the local theory of generalized Dhombres functional equations in the complex domainin ESAIM: Proceedings and Surveys (2012), 36
Formal solutions of the generalized Dhombres functional equation with value one at zero;
in Aequationes Mathematicae (2012), 83(1), 117-126
2011
Axiomatizations of signed discrete Choquet integrals; ; ;
in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2011), 19(2), 193-199
An algorithm for producing median formulas for Boolean functions; ; ;
in Proc. of the Reed Muller 2011 Workshop (2011, July)
Associative polynomial functions over bounded distributive lattices;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2011), 28(1), 1-8
Axiomatizations of Lovász extensions of pseudo-Boolean functions;
in Fuzzy Sets and Systems (2011), 181(1), 28-38
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions;
in Aequationes Mathematicae (2011), 82(3), 213-231
Axiomatizations of the discrete Choquet integral and extensions;
in Galichet, Sylvie; Montero, Javier; Mauris, Gilles (Eds.) Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011 (2011)
On three properties of the discrete Choquet integral;
in Dubois, Didier; Grabisch, Michel; Mesiar, Radko; Klement, Erich Peter (Eds.) 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (2011)
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes; ; ;
in Information Sciences (2011), 181(1), 23-43
A description of n-ary semigroups polynomial-derived from integral domains;
in Semigroup Forum (2011), 83(2), 241-249
Extensions of system signature and Barlow-Proschan importance index to dependent lifetimes;
Presentation (2011, September 07)
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations;
in Journal of Multivariate Analysis (2011), 102(5), 931-936
Indices de pouvoir et d'interaction en théorie des jeux coopératifs: une approche par moindres carrés;
Presentation (2011, January 18)
Influence and interaction indexes in cooperative games: a unified least squares approach;
Scientific Conference (2011, November 10)
Measuring the interactions among variables of functions over the unit hypercube;
in Journal of Mathematical Analysis and Applications (2011), 380(1), 105-116
Weighted Banzhaf power and interaction indexes through weighted approximations of games;
in European Journal of Operational Research (2011), 211(2), 352-358
Weighted Banzhaf power and interaction indexes through weighted approximations of games;
in Dubois, Didier; Grabisch, Michel; Mesiar, Radko; Klement, Erich Peter (Eds.) 32nd Linz Seminar on Fuzzy Set Theory (LINZ 2011) - Decision Theory: Qualitative and Quantitative Approaches (2011)
On signature-based expressions of system reliability; ;
in Journal of Multivariate Analysis (2011), 102(10), 1410-1416
Signatures, decompositions of reliability, and approximation problems; ;
Presentation (2011, September 07)
On the Gaussian approximation of vector-valued multiple integrals;
in Journal of Multivariate Analysis (2011), 102(6), 1008-1017
Yet another proof of the Nualart-Peccati criterionin Electronic Communications in Probability (2011), 16
Quantitative Breuer-Major theorems; ;
in Stochastic Processes and Their Applications (2011), 121(4), 793--812
Clones of partial functions on finite sets.Book published by Aachen: Shaker Verlag; Rostock: Univ. Rostock, Mathematisch-Naturwissenschaftliche Fakultät (Diss. 2010) (2011)
Galois theory for partial clones and some relational clonesin Proceedings - 41st IEEE International Symposium on Multiple-Valued Logic, ISMVL 2011 (2011)
Uniqueness of minimal coverings of maximal partial clonesin Algebra Universalis (2011), 65(4), 393-420
Agents in the shadow (cooperative games with non-cooperating players); ;
Scientific Conference (2011, July 19)
2010
Weak approximation of a fractional SDE; ; ;
in Stochastic Processes and Their Applications (2010), 120
Almost sure central limit theorems on the Wiener space; ;
in Stochastic Processes and Their Applications (2010), 120
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices;
in Fuzzy Sets and Systems (2010), 161(5), 694-707
Explicit descriptions of associative Sugeno integrals;
in Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank (Eds.) Information Processing and Management of Uncertainty in Knowledge-Based Systems: 13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I (2010, June 17)
Quasi-polynomial functions over bounded distributive lattices;
in Aequationes Mathematicae (2010), 80(3), 319-334
Representations and characterizations of polynomial functions on chains;
in Journal of Multiple-Valued Logic and Soft Computing (2010), 16(1-2), 65-86
Limit theorems for nonlinear functionals of Volterra processes via white noise analysis; ;
in Bernoulli (2010), 16(4), 1262-1293
A classification of partial Boolean clones;
in Proceedings of The International Symposium on Multiple-Valued Logic (2010)
Some improvements of the $S$-adic conjecture (extended abstract)Scientific Conference (2010, September)
Measuring the influence of the kth largest variable on functions over the unit hypercube;
in Torra, Vicenc; Narukawa, Yasuo; Daumas, Marc (Eds.) Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (2010, October 19)
Measuring the interactions among variables of functions over the unit hypercube;
in Torra, Vicenc; Narukawa, Yasuo; Daumas, Marc (Eds.) Modeling Decisions for Artificial Intelligence: Proceedings 7th International Conference, MDAI 2010, Perpignan, France, October 27-29, 2010 (2010, October 19)
Measuring the interactions among variables of functions over the unit hypercube;
Scientific Conference (2010, January)
Weighted Banzhaf interaction indexes and weighted least squares;
Scientific Conference (2010, January)
Central limit theorems for multiple Skorohod integrals;
in Journal of Theoretical Probability (2010), 23(1), 39-64
Central and non-central limit theorems for weighted power variations of fractional Brownian motion; ;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2010), 46(4), 1055-1079
Stein's method meets Malliavin calculus: a short survey with new estimates;
in Recent development in stochastic dynamics and stochastic analysis (2010)
Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs;
in Latin American Journal of Probability and Mathematical Statistics (2010), 7
Multivariate normal approximation using Stein's method and Malliavin calculus; ;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2010), 46(1), 45--58
Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos; ;
in Annals of Probability (2010), 38(5), 1947--1985
Stein's method and stochastic analysis of Rademacher functionals; ;
in Electronic Journal of Probability (2010), 15
The weak Stratonovich integral with respect to fractional Brownian motion with Hurst parameter H=1/6; ;
in Electronic Journal of Probability (2010), 15
Number of maximal partial clonesin Proceedings of The International Symposium on Multiple-Valued Logic (2010)
2009
Exact confidence intervals for the Hurst parameter of a fractional Brownian motion; ;
in Electronic Journal of Statistics (2009), 3
Axiomatizations of quasi-polynomial functions on bounded chains;
in Aequationes Mathematicae (2009), 78(1-2), 195-213
Characterizations of discrete Sugeno integrals as lattice polynomial functions;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (Eds.) Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (2009, February)
From discrete Sugeno integrals to generalized lattice polynomial functions: axiomatizations and representations (invited lecture);
in González, Manuel; Mayor, Gaspar; Suner, Jaume; Torrens, Joan (Eds.) Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (2009)
Polynomial functions on bounded chains;
in Carvalho, J.-P.; Dubois, D.; Kaymak, U.; Sousa, J. M. C. (Eds.) Proc. of 2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference) (2009)
Quasi-polynomial functions on bounded chains;
in Carvalho, J. P.; Dubois, D.; Kaymak, U.; Sousa, J. M. C. (Eds.) Proc. of 2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference) (2009)
Differentiating $\sigma$-fields for Gaussian and shifted Gaussian processes; ;
in Stochastics: an International Journal of Probablitiy and Stochastic Processes (2009), 81(1), 79--97
Analyse de fiabilité des systèmes semicohérents et description par des polynômes latticiels;
Scientific Conference (2009, February 10)
Aggregation on bipolar scales; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (Eds.) Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (2009, February)
Milstein's type schemes for fractional SDEs;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2009), 45(4), 1085-1098
On the moments and distribution of discrete Choquet integrals from continuous distributions;
in Journal of Computational and Applied Mathematics (2009), 230(1), 83-94
Aggregation functions for decision makingin Bouyssou, Denis; Dubois, Didier; Pirlot, Marc; Prade, Henri (Eds.) Decision-Making Process – Concepts and Methods (2009)
The Chisini mean revisitedin González, Manuel; Mayor, Gaspar; Suner, Jaume; Torrens, Joan (Eds.) Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009) (2009)
Behavioral analysis of aggregation functions; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (Eds.) Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (2009, February)
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art;
in Aequationes Mathematicae (2009), 77(3), 207-236
Contribution on some construction methods for aggregation functions; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (Eds.) Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (2009, February)
Trees and asymptotic developments for fractional stochastic differential equations; ; ;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2009), 45(1), 157-174
A change of variable formula for the 2D fractional Brownian motion of Hurst index bigger or equal to 1/4in Journal of Functional Analysis (2009), 256
Stein's method and exact Berry-Esseen asymptotics for functionals of Gaussian fields;
in Annals of Probability (2009), 37(6), 2231--2261
Second order Poincaré inequalities and CLTs on Wiener space; ;
in Journal of Functional Analysis (2009), 257(2), 593--609
Asymptotic behavior of weighted quadratic variations of fractional Brownian motion: the critical case H=1/4;
in Annals of Probability (2009), 37(6), 2200-2230
Density formula and concentration inequalities with Malliavin calculus;
in Electronic Journal of Probability (2009), 14
Infinitary aggregation; ; ;
in Bodenhofer, Ulrich; De Baets, Bernard; Klement, Erich Peter; Saminger-Platz, Susanne (Eds.) Proc. 30th Linz Seminar on Fuzzy Set Theory (LINZ 2009): The Legacy of 30 Seminars – Where Do We Stand and Where Do We Go? (2009, February)
The minimal covering of maximal partial clones in 4-valued logicin Proceedings of The International Symposium on Multiple-Valued Logic (2009)
Minimal coverings of maximal partial clonesin Proceedings of The International Symposium on Multiple-Valued Logic (2009)
2008
Counting non-isomorphic maximal independent sets of the n-cycle graph;
in Journal of Integer Sequences (2008), 11(5), 1-16
Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion;
in Electronic Communications in Probability (2008), 13
Asymptotic expansions at any time for fractional scalar SDEs of Hurst index H>1/2;
in Bernoulli (2008), 14(3), 822-837
Reliability analysis and lattice polynomial system representation;
Scientific Conference (2008, October 17)
System reliability and weighted lattice polynomials;
in Probability in the Engineering and Informational Sciences (2008), 22(3), 373-388
“Aggregation Functions”, Cambridge University Press; ; ;
in Proc. of the 6th Int. Symposium on Intelligent Systems and Informatics (SISY 2008) (2008, September)
Stochastic volatility: approximation and goodness-of-fit test;
in Probability and Mathematical Statistics (2008), 28(1), 1-19
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variablesin Journal of Mathematical Analysis and Applications (2008), 341(1), 200-210
Weighted lattice polynomials of independent random variablesin Discrete Applied Mathematics (2008), 156(5), 685-694
Distribution functions of linear combinations of lattice polynomials from the uniform distribution;
in Statistics and Probability Letters (2008), 78(8), 985-991
Approximations of Lovász extensions and their induced interaction index;
in Discrete Applied Mathematics (2008), 156(1), 11-24
Slices, slabs, and sections of the unit hypercube;
in Online Journal of Analytic Combinatorics (2008), 3
Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters; ;
Scientific Conference (2008, January)
Disaggregation of bipolar-valued outranking relations; ;
in Le Thi, Hoai An; Bouvry, Pascal; Pham Dinh, Tao (Eds.) Modelling, Computation and Optimization in Information Systems and Management Sciences (2008, August 28)
Exact rate of convergence of some approximation schemes associated to SDEs driven by a fractional Brownian motion;
in Journal of Theoretical Probability (2008), 20(4), 871-899
Asymptotic behavior of certain weighted quadratic and cubic variations of fractional Brownian motionin Annals of Probability (2008), 36(6), 2159-2175
A simple theory for the study of SDEs driven by a fractional Brownian motion, in dimension onein Lecture notes in Mathematics (2008)
Weighted power variations of iterated Brownian motion;
in Electronic Journal of Probability (2008), 13
2007
Human centered processes: Toward a naturalistic decision making paradigm; ;
in European Journal of Operational Research (2007), 177(3), 1313-2118
Counting non-isomorphic maximal independent sets of the n-cycle graph;
Scientific Conference (2007, January)
Dynamical properties and characterization of gradient drift diffusions;
in Electronic Communications in Probability (2007), 12
On the moments and the distribution of the Choquet integral;
in Štěpnička, Martin; Novák, Vilém; Bodenhofer, Ulrich (Eds.) New Dimensions in Fuzzy Logic and Related Technologies. Proceedings of the 5th EUSFLAT Conference, Ostrava, Czech Republic, September 11-14, 2007. Volume I: Invited Lectures and Special Sessions (2007, September)
Aggregation Functions for Multicriteria Decision Aid (invited lecture)Scientific Conference (2007, September)
k-intolerant capacities and Choquet integralsin European Journal of Operational Research (2007), 177(3), 1453-1468
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variablesin De Baets, Bernard; Maes, Koen C.; Mesiar, Radko (Eds.) Proc. 4th Int. Summer School on Aggregation Operators and their Applications (AGOP 2007), Ghent, Belgium, July 9-14, 2007 (2007, July)
Derivative relationships between volume and surface area of compact regions in Rd;
in Rocky Mountain Journal of Mathematics (2007), 37(2), 551-571
Axiomatic characterizations of generalized values; ;
in Discrete Applied Mathematics (2007), 155(1), 26-43
Disaggregation of bipolar-valued outranking relations and application to the inference of model parameters; ;
Scientific Conference (2007, September)
2006
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices; ;
in Games and Economic Behavior (2006), 55(1), 72-99
Cumulative distribution functions and moments of lattice polynomialsin Statistics and Probability Letters (2006), 76(12), 1273-1279
Cumulative distribution functions and moments of weighted lattice polynomialsPresentation (2006, June 05)
Cumulative distribution functions and moments of weighted lattice polynomialsin Fodor, János; Klement, Erich Peter; Roubens, Marc (Eds.) Proc. 27th Linz Seminar on Fuzzy Set Theory (LINZ 2006): Preferences, Games and Decisions (2006, February)
Fonctions d'agrégation pour la décisionin Bouyssou, Denis; Dubois, Didier; Pirlot, Marc; Prade, Henri (Eds.) Concepts et Méthodes pour l'Aide à la Décision Vol. 3 (2006)
Weighted lattice polynomialsin Proc. 11th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), Paris, France, July 2-7, 2006 (2006, July)
The weighted lattice polynomials as aggregation functionsin Proc. 63rd Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (MCDA 63) (2006, March)
On the absolute continuity of Lévy processes with drift;
in Annals of Probability (2006), 34(3), 1035-1051
On the absolute continuity of one-dimensional SDEs driven by a fractional Brownian motion;
in Statistics and Probability Letters (2006), 76(9), 907-912
Some linear fractional stochastic equations;
in Stochastics: an International Journal of Probablitiy and Stochastic Processes (2006), 78(2), 51-65
2005
Proc. of the 61st Meeting of the Eur. Working Group "Multiple Criteria Decision Aiding" (Luxembourg, March 10-12, 2005) - Theme: Preference Modelling; ;
Book published by SMA - University of Luxembourg (2005)
m-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index; ; ;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (2005), 41(4), 781-806
Itô's and Tanaka's type formulae for the stochastic heat equation: the linear case; ;
in Journal of Functional Analysis (2005), 228(1), 114-143
Entropy of bi-capacities;
in Montseny, Eduard; Sobrevilla, Pilar (Eds.) Proceedings of the Joint 4th Conference of the European Society for Fuzzy Logic and Technology and the 11th Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, September 7-9, 2005. (2005, September)
An extension of the Shannon entropy to bi-capacities;
in Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland, July 10-15, 2005 (2005, July)
An axiomatic approach to the definition of the entropy of a discrete Choquet capacity; ;
in Information Sciences (2005), 172(1-2), 131-153
Derivative relationships between volume and surface area of compact regions in RdPresentation (2005, April 08)
k-intolerant capacities and Choquet integralsin Barthélemy, Jean-Pierre; Lenca, Philippe (Eds.) Advances in Multicriteria Decision Aid - Progrès en Aide Multicritère à la Décision (ENST Bretagne, 2005) (2005)
A complete description of comparison meaningful functions; ;
in Aequationes Mathematicae (2005), 69(3), 309-320
A complete description of comparison meaningful functions; ;
in Montseny, Eduard; Sobrevilla, Pilar (Eds.) Proceedings of the Joint 4th Conference of the European Society for Fuzzy Logic and Technology and the 11th Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, September 7-9, 2005. (2005, September)
A complete description of comparison meaningful functions; ;
in Proc. 3rd Int. Summer School on Aggregation Operators and their Applications (AGOP 2005), Lugano, Switzerland (2005, July)
Sorting multiattribute alternatives: The TOMASO method; ;
in Computers and Operations Research (2005), 32(4), 861-877
Schémas d'approximation associés à une équation différentielle dirigée par une fonction höldérienne; cas du mouvement brownien fractionnairein Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (2005), 340(8), 611-614
2004
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices; ;
in Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (2004, July)
k-intolerant bi-capacities and veto criteria; ; ;
in López-Díaz, Miguel Concepcion; Gil, Maria Angeles; Grzegorzewski, Przemyslaw; Hryniewicz, Olgierd; Lawry, Jonathan (Eds.) Soft Methodology and Random Information Systems (2004, July 30)
k-intolerant capacities and Choquet integralsin Klement, Erich Peter; Pap, Endre (Eds.) Proc. 25th Linz Seminar on Fuzzy Set Theory (LINZ 2004): Mathematics of Fuzzy Systems (2004, February)
k-intolerant capacities and Choquet integralsin Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (2004, July)
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integralin European Journal of Operational Research (2004), 155(3), 771-791
Aggregation on finite ordinal scales by scale independent functions;
in Order: A Journal on the Theory of Ordered Sets and its Applications (2004), 21(2), 155-180
Aggregation on finite ordinal scales by scale independent functions;
in Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004 (2004, July)
Agrégation sur des échelles ordinales finies par des fonctions indépendantes des échelles;
in Actes des "Rencontres francophones sur la logique floue et ses applications" (LFA 2004), Nantes, France, Nov. 18-19, 2004 (2004, November)
A complete description of comparison meaningful functions; ;
in Bouyssou, Denis; Janowitz, Mel; Roberts, Fred; Tsoukiàs, Alexis (Eds.) Annales du LAMSADE No 3 - Octobre 2004 (2004, October)
TOMASO, A solution in the presence of interacting points of views; ;
Article for general public (2004)
2003
Approximation at first and second order of m-order integrals of the fractional Brownian motion and of certain semimartingales;
in Electronic Journal of Probability (2003), 8(18), 1-26
Aggregation on finite ordinal scales (Tutorial)in Proc. 2nd Int. Summer School on Aggregation Operators and their Applications (AGOP 2003), Alcalá de Henares (Madrid), Spain, July 14-18, 2003 (2003, July)
Derivative relationships between volume and surface area of compact regions in RdPresentation (2003, October 21)
