Edit Profile (opens in new tab) Patras, Frédéric Co-Author Distance Author ID: patras.frederic Published as: Patras, Frédéric; Patras, F.; Patras, Frederic; Patras, Fréderic more...less Documents Indexed: 88 Publications since 1990, including 3 Books 2 Contributions as Editor Reviewing Activity: 52 Reviews Co-Authors: 48 Co-Authors with 69 Joint Publications 1,303 Co-Co-Authors all top 5 Co-Authors 21 single-authored 26 Ebrahimi-Fard, Kurusch 6 Del Moral, Pierre 6 Foissy, Loïc 6 Reutenauer, Christophe 5 Cassam-Chenaï, Patrick 4 Brouder, Christian 4 Rubenthaler, Sylvain 3 Dhont, Guillaume 3 Malvenuto, Claudia 3 Manchon, Dominique 3 Menous, Frédéric 3 Schocker, Manfred 3 Tapia, Nikolas 3 Zambotti, Lorenzo 2 Gracia-Bondía, José M. 2 Kohn, Robert J. 2 Malham, Simon J. A. 2 Thibon, Jean-Yves 2 Wiese, Anke 1 Al-Kaabi, Mahdi J. Hasan 1 Bauer, Michel 1 Bergeron, Nantel 1 Berthé, Valérie 1 Besse, Philippe C. 1 Cantù, Paola 1 Cartier, Pierre 1 Celestino, Adrián 1 Chapoton, Frédéric 1 Chetrite, Raphaël 1 Curry, Charles 1 Dehornoy, Patrick 1 El Kolei, Salima 1 Halimi, Brice 1 Heinzmann, Gerhard 1 Kock, Joachim 1 Lebœuf, Patricio 1 Livernet, Muriel 1 Massot, Marc 1 Mestre, Ângela 1 Métivier, Guy 1 Miclo, Laurent 1 Novelli, Jean-Christophe 1 Perales, Daniel 1 Ram, Arun 1 Solé, Patrick 1 Speicher, Roland 1 Thomas, Jean-Claude 1 Zhilinskií, Boris I. all top 5 Serials 7 Journal of Algebra 4 Journal of Algebraic Combinatorics 4 Journal of Mathematical Chemistry 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 IMRN. International Mathematics Research Notices 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 International Journal of Algebra and Computation 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Physics Letters. A 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Gazette des Mathématiciens 1 Journal of Computational and Applied Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications 1 Bulgarian Journal of Physics 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Lie Theory 1 Séminaire Lotharingien de Combinatoire 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Mathematics 1 Algebra and Applications 1 Journal of Noncommutative Geometry 1 Matapli 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Proceedings A. Royal Society of London 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 50 Associative rings and algebras (16-XX) 22 Combinatorics (05-XX) 19 Nonassociative rings and algebras (17-XX) 17 Quantum theory (81-XX) 13 Category theory; homological algebra (18-XX) 12 Probability theory and stochastic processes (60-XX) 11 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 8 Group theory and generalizations (20-XX) 8 Algebraic topology (55-XX) 5 \(K\)-theory (19-XX) 5 Numerical analysis (65-XX) 4 Commutative algebra (13-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 535 times in 275 Documents Cited by ▼ Year ▼ The descent algebra of a graded bialgebra. (L’algèbre des descentes d’une bigèbre graduée.) Zbl 0819.16033Patras, F. 37 1994 A Lie theoretic approach to renormalization. Zbl 1136.81395Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 35 2007 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 24 2009 The weight decomposition of Hopf algebras. (La décomposition en poids des algèbres de Hopf.) Zbl 0795.16028Patras, Frédéric 20 1993 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 19 2007 New identities in dendriform algebras. Zbl 1153.17003Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 19 2008 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071Ebrahimi-Fard, Kurusch; Patras, Frédéric 19 2015 On descent algebras and twisted bialgebras. Zbl 1103.16026Patras, Frédéric; Reutenauer, Christophe 17 2004 On Dynkin and Klyachko idempotents in graded bialgebras. Zbl 1024.16021Patras, Frédéric; Reutenauer, Christophe 15 2002 Enveloping algebras of preLie algebras, Solomon idempotents and the Magnus formula. Zbl 1284.17006Chapoton, Frédéric; Patras, Frédéric 14 2013 Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves 14 2016 The splitting process in free probability theory. Zbl 1404.46056Ebrahimi-Fard, Kurusch; Patras, Frédéric 14 2016 Twisted descent algebras and the Solomon-Tits algebra. Zbl 1154.16029Patras, Frédéric; Schocker, Manfred 13 2006 Natural endomorphisms of quasi-shuffle Hopf algebras. Zbl 1266.05175Novelli, Jean-Christophe; Patras, Frédéric; Thibon, Jean-Yves 13 2013 Tree based functional expansions for Feynman–Kac particle models. Zbl 1189.60171Del Moral, Pierre; Patras, Frédéric; Rubenthaler, Sylvain 12 2009 Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 9 2016 Natural endomorphisms of shuffle algebras. Zbl 1298.16021Foissy, Loïc; Patras, Frédéric 9 2013 Higher Lie idempotents. Zbl 0956.16017Patras, Frédéric; Reutenauer, Christophe 9 1999 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023Ebrahimi-Fard, Kurusch; Patras, Frédéric 9 2018 The exponential Lie series for continuous semimartingales. Zbl 1371.60113Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 9 2015 Geometric constructions of Euler idempotents. Filtration of groups of polytopes and Hochschild homology groups. (Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d’homologie de Hochschild.) Zbl 0752.55014Patras, F. 8 1991 Trees, set compositions and the twisted descent algebra. Zbl 1180.05032Patras, Frédéric; Schocker, Manfred 8 2008 Exponential renormalization. Zbl 1208.81152Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2010 Shuffle group laws: applications in free probability. Zbl 1486.16036Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2019 On particle Gibbs samplers. Zbl 1356.60114Del Moral, P.; Kohn, R.; Patras, F. 7 2016 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2013 Lie representations and an algebra containing Solomon’s. Zbl 1056.16032Patras, Frédéric; Reutenauer, Christophe 7 2002 Lie theory for Hopf operads. Zbl 1149.18005Livernet, Muriel; Patras, Frédéric 6 2008 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2014 Convergence of \(U\)-statistics for interacting particle systems. Zbl 1233.82025Del Moral, P.; Patras, F.; Rubenthaler, S. 6 2011 Symmetry-adapted polynomial basis for global potential energy surfaces-applications to \(XY_{4}\) molecules. Zbl 1243.81237Cassam-Chenaï, Patrick; Patras, Frédéric 6 2008 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 6 2015 Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026Foissy, Loïc; Patras, Frédéric 6 2020 Cochain algebras of mapping spaces and finite group actions. Zbl 1027.55017Patras, Frédéric; Thomas, Jean-Claude 6 2003 The Hopf algebra of identical, fermionic particle systems – fundamental concepts and properties. Zbl 1062.82002Cassam-Chenaï, Patrick; Patras, Frédéric 5 2003 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 5 2020 A Leray theorem for the generalization to operads of Hopf algebras with divided powers. Zbl 0947.16025Patras, F. 4 1999 On the Garsia Lie idempotent. Zbl 1100.20016Patras, Frédéric; Reutenauer, Christophe; Schocker, Manfred 4 2005 A reflection principle for correlated defaults. Zbl 1087.60517Patras, Frédéric 4 2006 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 Hyperoctahedral Chen calculus for effective hamiltonians. Zbl 1230.05274Brouder, Christian; Patras, Frédéric 4 2009 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2020 Right-handed Hopf algebras and the preLie forest formula. Zbl 1441.16038Menous, Frédéric; Patras, Frédéric 4 2018 Generic algebras and iterated Hochschild homology. Zbl 0990.18005Patras, Frédéric 4 2001 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2021 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 Logarithmic derivatives and generalized Dynkin operators. Zbl 1364.17004Menous, Frédéric; Patras, Frédéric 3 2013 The convergence to equilibrium of neutral genetic models. Zbl 1188.92029Del Moral, P.; Miclo, L.; Patras, F.; Rubenthaler, S. 3 2010 Adams operations, iterated integrals and free loop spaces cohomology. Zbl 0878.55004Patras, Fréderic 3 1997 Lambda-rings. Zbl 1072.19005Patras, Frédéric 3 2003 Noncommutative lambda-rings. (Lambda-anneaux non commutatifs.) Zbl 0823.16030Patras, Frédéric 3 1995 Tree expansion in time-dependent perturbation theory. Zbl 1311.81128Brouder, Christian; Mestre, Ângela; Patras, Frédéric 3 2010 Classical Hopf algebras and their applications. Zbl 1514.16001Cartier, Pierre; Patras, Frédéric 3 2021 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2013 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 3 2022 Higher order, generalized, Schmidt decompositions for indistinguishable, overlapping particles. Zbl 1138.81328Cassam-Chenaï, Patrick; Patras, Frédéric 2 2004 Renormalization: a quasi-shuffle approach. Zbl 1411.81146Menous, Frédéric; Patras, Frédéric 2 2018 Analysis, detection and correction of misspecified discrete time state space models. Zbl 1377.93162Kolei, Salima El; Patras, Frédéric 2 2018 Nonlocal, noncommutative diagrammatics and the linked cluster theorems. Zbl 1251.81043Brouder, Christian; Patras, Frédéric 2 2012 Quasi-shuffle algebras in non-commutative stochastic calculus. Zbl 1499.60167Ebrahimi-Fard, Kurusch; Patras, Frédéric 2 2021 Adams operations, algebras up to homotopy and cyclic homology. Zbl 0967.19002Patras, F. 2 2000 A theory of pictures for quasi-posets. Zbl 1387.06003Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 2 2017 A fast algorithm for the construction of integrity bases associated to symmetry-adapted polynomial representations: application to tetrahedral XY\(_{\mathrm{4}}\) molecules. Zbl 1307.92365Cassam-Chenaï, Patrick; Dhont, Guillaume; Patras, Frédéric 2 2015 A duality formula for Feynman-Kac path particle models. (Une formule de dualité pour des modèles particulaires de type Feynman-Kac trajectoriels.) Zbl 1323.60126Del Moral, Pierre; Kohn, Robert; Patras, Frédéric 2 2015 A mean field theory of nonlinear filtering. Zbl 1223.93109Del Moral, P.; Patras, F.; Rubenthaler, S. 2 2011 The action of the special orthogonal group on planar vectors: integrity bases via a generalization of the symbolic interpretation of Molien functions. Zbl 1315.13018Dhont, Guillaume; Patras, Frédéric; Zhilinskií, Boris I. 2 2015 Filtration du groupe des polytopes et \(\lambda\)-structure du groupe symétrique. (Filtration of the group of polytopes and \(\lambda\)- structure on the symmetric group). Zbl 0695.55014Patras, Frédéric 1 1990 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2008 The coordinator polynomial of some cyclotomic lattices. Zbl 1175.11032Patras, Frédéric; Solé, Patrick 1 2007 Monomial bases and pre-Lie structure for free Lie algebras. Zbl 1453.17019Al-Kaabi, Mahdi J. Hasan; Manchon, Dominique; Patras, Frédéric 1 2018 Dynkin operators and renormalization group actions in pQFT. Zbl 1183.81109Patras, Frédéric 1 2009 On non-commutative stochastic exponentials. Zbl 07136729Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 \(\epsilon\)-noncrossing partitions and cumulants in free probability. Zbl 1430.46048Ebrahimi-Fard, Kurusch; Patras, Frédéric; Speicher, Roland 1 2018 The Schubert calculus of decomposable permutations. (Le calcul de Schubert des permutations décomposables.) Zbl 0853.14026Patras, F. 1 1995 Symmetril moulds, generic group schemes, resummation of MZVs. Zbl 1444.81026Malvenuto, Claudia; Patras, Frédéric 1 2020 The generic homology is a \(\text{Tor}_*\) functor. (L’homologie générique est un foncteur \(\text{Tor}_*\).) Zbl 0934.18013Patras, Frédéric 1 1999 Adams operations and periodic cyclic cohomology. Zbl 1096.55500Patras, Frédéric 1 1999 One-particle irreducibility with initial correlations. Zbl 1225.81097Brouder, Christian; Patras, Frédéric 1 2011 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 3 2022 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2021 Classical Hopf algebras and their applications. Zbl 1514.16001Cartier, Pierre; Patras, Frédéric 3 2021 Quasi-shuffle algebras in non-commutative stochastic calculus. Zbl 1499.60167Ebrahimi-Fard, Kurusch; Patras, Frédéric 2 2021 Lie theory for quasi-shuffle bialgebras. Zbl 1464.16026Foissy, Loïc; Patras, Frédéric 6 2020 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 5 2020 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2020 Symmetril moulds, generic group schemes, resummation of MZVs. Zbl 1444.81026Malvenuto, Claudia; Patras, Frédéric 1 2020 Shuffle group laws: applications in free probability. Zbl 1486.16036Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2019 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023Ebrahimi-Fard, Kurusch; Patras, Frédéric 9 2018 Right-handed Hopf algebras and the preLie forest formula. Zbl 1441.16038Menous, Frédéric; Patras, Frédéric 4 2018 Renormalization: a quasi-shuffle approach. Zbl 1411.81146Menous, Frédéric; Patras, Frédéric 2 2018 Analysis, detection and correction of misspecified discrete time state space models. Zbl 1377.93162Kolei, Salima El; Patras, Frédéric 2 2018 Monomial bases and pre-Lie structure for free Lie algebras. Zbl 1453.17019Al-Kaabi, Mahdi J. Hasan; Manchon, Dominique; Patras, Frédéric 1 2018 On non-commutative stochastic exponentials. Zbl 07136729Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 \(\epsilon\)-noncrossing partitions and cumulants in free probability. Zbl 1430.46048Ebrahimi-Fard, Kurusch; Patras, Frédéric; Speicher, Roland 1 2018 A theory of pictures for quasi-posets. Zbl 1387.06003Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 2 2017 Deformations of shuffles and quasi-shuffles. (Déformations des algèbres de battages et quasi-battages.) Zbl 1347.05243Foissy, Loïc; Patras, Frédéric; Thibon, Jean-Yves 14 2016 The splitting process in free probability theory. Zbl 1404.46056Ebrahimi-Fard, Kurusch; Patras, Frédéric 14 2016 Infinitesimal and \(B_{\infty}\)-algebras, finite spaces, and quasi-symmetric functions. Zbl 1390.16032Foissy, Loïc; Malvenuto, Claudia; Patras, Frédéric 9 2016 On particle Gibbs samplers. Zbl 1356.60114Del Moral, P.; Kohn, R.; Patras, F. 7 2016 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071Ebrahimi-Fard, Kurusch; Patras, Frédéric 19 2015 The exponential Lie series for continuous semimartingales. Zbl 1371.60113Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 9 2015 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 6 2015 A fast algorithm for the construction of integrity bases associated to symmetry-adapted polynomial representations: application to tetrahedral XY\(_{\mathrm{4}}\) molecules. Zbl 1307.92365Cassam-Chenaï, Patrick; Dhont, Guillaume; Patras, Frédéric 2 2015 A duality formula for Feynman-Kac path particle models. (Une formule de dualité pour des modèles particulaires de type Feynman-Kac trajectoriels.) Zbl 1323.60126Del Moral, Pierre; Kohn, Robert; Patras, Frédéric 2 2015 The action of the special orthogonal group on planar vectors: integrity bases via a generalization of the symbolic interpretation of Molien functions. Zbl 1315.13018Dhont, Guillaume; Patras, Frédéric; Zhilinskií, Boris I. 2 2015 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2014 Enveloping algebras of preLie algebras, Solomon idempotents and the Magnus formula. Zbl 1284.17006Chapoton, Frédéric; Patras, Frédéric 14 2013 Natural endomorphisms of quasi-shuffle Hopf algebras. Zbl 1266.05175Novelli, Jean-Christophe; Patras, Frédéric; Thibon, Jean-Yves 13 2013 Natural endomorphisms of shuffle algebras. Zbl 1298.16021Foissy, Loïc; Patras, Frédéric 9 2013 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2013 Logarithmic derivatives and generalized Dynkin operators. Zbl 1364.17004Menous, Frédéric; Patras, Frédéric 3 2013 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2013 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 Nonlocal, noncommutative diagrammatics and the linked cluster theorems. Zbl 1251.81043Brouder, Christian; Patras, Frédéric 2 2012 Convergence of \(U\)-statistics for interacting particle systems. Zbl 1233.82025Del Moral, P.; Patras, F.; Rubenthaler, S. 6 2011 A mean field theory of nonlinear filtering. Zbl 1223.93109Del Moral, P.; Patras, F.; Rubenthaler, S. 2 2011 One-particle irreducibility with initial correlations. Zbl 1225.81097Brouder, Christian; Patras, Frédéric 1 2011 Exponential renormalization. Zbl 1208.81152Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2010 The convergence to equilibrium of neutral genetic models. Zbl 1188.92029Del Moral, P.; Miclo, L.; Patras, F.; Rubenthaler, S. 3 2010 Tree expansion in time-dependent perturbation theory. Zbl 1311.81128Brouder, Christian; Mestre, Ângela; Patras, Frédéric 3 2010 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 24 2009 Tree based functional expansions for Feynman–Kac particle models. Zbl 1189.60171Del Moral, Pierre; Patras, Frédéric; Rubenthaler, Sylvain 12 2009 Hyperoctahedral Chen calculus for effective hamiltonians. Zbl 1230.05274Brouder, Christian; Patras, Frédéric 4 2009 Dynkin operators and renormalization group actions in pQFT. Zbl 1183.81109Patras, Frédéric 1 2009 New identities in dendriform algebras. Zbl 1153.17003Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 19 2008 Trees, set compositions and the twisted descent algebra. Zbl 1180.05032Patras, Frédéric; Schocker, Manfred 8 2008 Lie theory for Hopf operads. Zbl 1149.18005Livernet, Muriel; Patras, Frédéric 6 2008 Symmetry-adapted polynomial basis for global potential energy surfaces-applications to \(XY_{4}\) molecules. Zbl 1243.81237Cassam-Chenaï, Patrick; Patras, Frédéric 6 2008 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2008 A Lie theoretic approach to renormalization. Zbl 1136.81395Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 35 2007 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 19 2007 The coordinator polynomial of some cyclotomic lattices. Zbl 1175.11032Patras, Frédéric; Solé, Patrick 1 2007 Twisted descent algebras and the Solomon-Tits algebra. Zbl 1154.16029Patras, Frédéric; Schocker, Manfred 13 2006 A reflection principle for correlated defaults. Zbl 1087.60517Patras, Frédéric 4 2006 On the Garsia Lie idempotent. Zbl 1100.20016Patras, Frédéric; Reutenauer, Christophe; Schocker, Manfred 4 2005 On descent algebras and twisted bialgebras. Zbl 1103.16026Patras, Frédéric; Reutenauer, Christophe 17 2004 Higher order, generalized, Schmidt decompositions for indistinguishable, overlapping particles. Zbl 1138.81328Cassam-Chenaï, Patrick; Patras, Frédéric 2 2004 Cochain algebras of mapping spaces and finite group actions. Zbl 1027.55017Patras, Frédéric; Thomas, Jean-Claude 6 2003 The Hopf algebra of identical, fermionic particle systems – fundamental concepts and properties. Zbl 1062.82002Cassam-Chenaï, Patrick; Patras, Frédéric 5 2003 Lambda-rings. Zbl 1072.19005Patras, Frédéric 3 2003 On Dynkin and Klyachko idempotents in graded bialgebras. Zbl 1024.16021Patras, Frédéric; Reutenauer, Christophe 15 2002 Lie representations and an algebra containing Solomon’s. Zbl 1056.16032Patras, Frédéric; Reutenauer, Christophe 7 2002 Generic algebras and iterated Hochschild homology. Zbl 0990.18005Patras, Frédéric 4 2001 Adams operations, algebras up to homotopy and cyclic homology. Zbl 0967.19002Patras, F. 2 2000 Higher Lie idempotents. Zbl 0956.16017Patras, Frédéric; Reutenauer, Christophe 9 1999 A Leray theorem for the generalization to operads of Hopf algebras with divided powers. Zbl 0947.16025Patras, F. 4 1999 The generic homology is a \(\text{Tor}_*\) functor. (L’homologie générique est un foncteur \(\text{Tor}_*\).) Zbl 0934.18013Patras, Frédéric 1 1999 Adams operations and periodic cyclic cohomology. Zbl 1096.55500Patras, Frédéric 1 1999 Adams operations, iterated integrals and free loop spaces cohomology. Zbl 0878.55004Patras, Fréderic 3 1997 Noncommutative lambda-rings. (Lambda-anneaux non commutatifs.) Zbl 0823.16030Patras, Frédéric 3 1995 The Schubert calculus of decomposable permutations. (Le calcul de Schubert des permutations décomposables.) Zbl 0853.14026Patras, F. 1 1995 The descent algebra of a graded bialgebra. (L’algèbre des descentes d’une bigèbre graduée.) Zbl 0819.16033Patras, F. 37 1994 The weight decomposition of Hopf algebras. (La décomposition en poids des algèbres de Hopf.) Zbl 0795.16028Patras, Frédéric 20 1993 Geometric constructions of Euler idempotents. Filtration of groups of polytopes and Hochschild homology groups. (Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d’homologie de Hochschild.) Zbl 0752.55014Patras, F. 8 1991 Filtration du groupe des polytopes et \(\lambda\)-structure du groupe symétrique. (Filtration of the group of polytopes and \(\lambda\)- structure on the symmetric group). Zbl 0695.55014Patras, Frédéric 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 297 Authors 46 Patras, Frédéric 37 Ebrahimi-Fard, Kurusch 16 Manchon, Dominique 15 Foissy, Loïc 11 Thibon, Jean-Yves 9 Novelli, Jean-Christophe 8 Schocker, Manfred 7 Del Moral, Pierre 7 Guo, Li 7 Tapia, Nikolas 6 Cassam-Chenaï, Patrick 6 Diehl, Joscha 6 Menous, Frédéric 5 Kock, Joachim 5 Rubenthaler, Sylvain 5 Sheng, Yunhe 4 Aguiar, Marcelo 4 Celestino, Adrián 4 Friz, Peter Karl 4 Gao, Xing 4 Gracia-Bondía, José M. 4 Jasra, Ajay 4 Malvenuto, Claudia 4 Reutenauer, Christophe 4 Zhang, Yi 4 Zhang, Yuanyuan 3 Belhaj Mohamed, Mohamed 3 Benedetti, Carolina 3 Bergeron, Nantel 3 Brouder, Christian 3 Chen, Dan 3 Curry, Charles 3 Diaconis, Persi Warren 3 Gilliers, Nicolas 3 Hivert, Florent 3 Josuat-Vergès, Matthieu 3 Makhlouf, Abdenacer 3 Malham, Simon J. A. 3 Mencattini, Igor 3 Pang, C. Y. Amy 3 Perales, Daniel 3 Preiß, Rosa 3 Sottile, Frank 3 Yeats, Karen A. 3 Zambotti, Lorenzo 2 Arnaudon, Marc 2 Ayadi, Mohamed Ali 2 Bai, Chengming 2 Bellingeri, Carlo 2 Blessenohl, Dieter 2 Bonnier, Patric 2 Cass, Thomas Richard 2 Chapoton, Frédéric 2 Colmenarejo, Laura 2 Crisan, Dan O. 2 Dhont, Guillaume 2 Duchamp, Gerard Henry Edmond 2 El Kolei, Salima 2 Fauvet, Frédéric 2 Figueroa, Héctor 2 Fresse, Benoit 2 Guyader, Arnaud 2 Hazewinkel, Michiel 2 Jenkins, Paul A. 2 Jian, Runqiang 2 Johansen, Adam M. 2 Kharchenko, Vladislav K. 2 Koskela, Jere 2 Liu, Jiefeng 2 Livernet, Muriel 2 Luo, Yan Feng 2 Mafra, Carlos R. 2 Marberg, Eric 2 Munthe-Kaas, Hans Z. 2 Ni, Xiang 2 Oberhauser, Harald 2 Panaite, Florin 2 Paycha, Sylvie 2 Peng, Xiao-Song 2 Pietrzkowski, Gabriel 2 Quesney, Alexandre 2 Ronco, María Ofelia 2 Schmeding, Alexander 2 Shestakov, Ivan Pavlovich 2 Thomas, Jean-Claude 2 Whiteley, Nick 2 Wiese, Anke 2 Zuevsky, Alexander 1 Abarenkova, Nina 1 Abdaoui, Elkadri 1 Adamczak, Radosław 1 Agarwala, Susama 1 Agore, Ana-Loredana 1 Al-Kaabi, Mahdi J. Hasan 1 Albeverio, Sergio A. 1 Arizmendi, Octavio 1 Aubry, Marc 1 Bachmann, Henrik 1 Bădiţoiu, Gabriel 1 Bao, Yanhong ...and 197 more Authors all top 5 Cited in 103 Serials 21 Journal of Algebra 16 Journal of Algebraic Combinatorics 15 Advances in Mathematics 10 Journal of Mathematical Chemistry 9 Advances in Applied Mathematics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Communications in Algebra 7 Letters in Mathematical Physics 6 Journal of Mathematical Physics 6 Journal of Pure and Applied Algebra 6 The Annals of Applied Probability 6 Foundations of Computational Mathematics 5 Communications in Mathematical Physics 5 Journal of Geometry and Physics 5 Annales de l’Institut Fourier 5 Stochastic Processes and their Applications 4 Journal of Algebra and its Applications 3 Bulletin de la Société Mathématique de France 3 Journal of Theoretical Probability 3 International Journal of Algebra and Computation 3 Séminaire Lotharingien de Combinatoire 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 The Annals of Statistics 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Topology and its Applications 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annales Mathématiques Blaise Pascal 2 The Electronic Journal of Combinatorics 2 Annals of Combinatorics 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematics in Computer Science 2 Advances in Mathematical Physics 2 Algebraic Combinatorics 1 Discrete Mathematics 1 International Journal of Control 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Physics Letters. B 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 The Annals of Probability 1 Automatica 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Stochastic Analysis and Applications 1 Physica D 1 Annals of Operations Research 1 Indagationes Mathematicae. New Series 1 Algebra Colloquium 1 Statistical Papers 1 Advances in Applied Clifford Algebras 1 Theory and Applications of Categories 1 Electronic Journal of Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 The Ramanujan Journal 1 Vietnam Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 International Journal of Theoretical and Applied Finance 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Quantitative Finance 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 International Journal of Geometric Methods in Modern Physics 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Homotopy and Related Structures 1 International Electronic Journal of Algebra (IEJA) 1 Confluentes Mathematici 1 SIAM Journal on Financial Mathematics 1 Physical Review A, Third Series 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Statistics and Computing 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Open Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys ...and 3 more Serials all top 5 Cited in 46 Fields 151 Associative rings and algebras (16-XX) 94 Combinatorics (05-XX) 75 Nonassociative rings and algebras (17-XX) 47 Probability theory and stochastic processes (60-XX) 43 Quantum theory (81-XX) 39 Category theory; homological algebra (18-XX) 25 Group theory and generalizations (20-XX) 17 Functional analysis (46-XX) 15 Numerical analysis (65-XX) 14 Commutative algebra (13-XX) 13 Statistics (62-XX) 12 Algebraic topology (55-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Number theory (11-XX) 10 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 \(K\)-theory (19-XX) 8 Biology and other natural sciences (92-XX) 7 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 General algebraic systems (08-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Integral equations (45-XX) 3 Manifolds and cell complexes (57-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) Citations by Year