Access content directly

Patras Frédéric

82
Documents

Presentation

Pour des données complètes, se référer à http://math.unice.fr/~patras/
Pour des données complètes, se référer à http://math.unice.fr/~patras/

Publications

Cumulant-cumulant relations in free probability theory from Magnus' expansion

Frédéric Patras , A. Celestino , K. Ebrahimi-Fard , D. Perales Anaya
Foundations of Computational Mathematics, 2022, 22 (3), pp.733-755. ⟨10.1007/s10208-021-09512-0⟩
Journal articles hal-03000717v1

Wick polynomials in noncommutative probability: a group-theoretical approach

K. Ebrahimi-Fard , F. Patras , Nikolas Tapia , Lorenzo Zambotti
Canadian Journal of Mathematics = Journal Canadien de Mathématiques, inPress, 74 (6), pp.1673 - 1699. ⟨10.4153/S0008414X21000407⟩
Journal articles hal-02438241v1
Image document

L'épistémologie mathématique de Gaston Bachelard

Sébastien Maronne , Frédéric Patras
Bachelard Studies - Études bachelardiennes - Studi bachelardiani, A paraître
Journal articles hal-03670027v1
Image document

Molien generating functions and integrity bases for the action of the SO(3) and O(3) groups on a set of vectors

Guillaume Dhont , Patrick Cassam-Chenaï , Frédéric Patras
Journal of Mathematical Chemistry, 2021, 59, pp.2294-2326
Journal articles hal-01222972v5
Image document

Surjections and double posets

Frédéric Patras , Loïc Foissy
Seminaire Lotharingien de Combinatoire, 2020, 82, pp.Article B82a
Journal articles hal-01731282v1

Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations

Kurusch Ebrahimi-Fard , Loïc Foissy , Joachim Kock , Frédéric Patras
Advances in Mathematics, 2020, 369, pp.107170. ⟨10.1016/j.aim.2020.107170⟩
Journal articles hal-02375984v1

Shuffle group laws: applications in free probability

Kurusch Ebrahimi‐fard , Frédéric Patras
Proceedings of the London Mathematical Society, 2019, 119 (3), pp.814-840. ⟨10.1112/plms.12249⟩
Journal articles hal-02375513v1
Image document

The didactic contract and its horizon of expectation

Thomas Hausberger , Frédéric Patras
Educere et Educare, 2019, 15 (33), ⟨10.17648/educare.v15i33.22457⟩
Journal articles hal-02429977v1

Analysis, detection and correction of misspecified discrete time state space models

Salima El Kolei , Frédéric Patras
Journal of Computational and Applied Mathematics, 2018, 333, pp.200-214. ⟨10.1016/j.cam.2017.10.020⟩
Journal articles hal-02375514v1

Monomial bases and pre-Lie structure for free Lie algebras

Mahdi J. Hasan Al-Kaabi , Dominique Manchon , Frédéric Patras
Journal of Lie Theory, 2018
Journal articles hal-02376211v1

Monotone, free, and boolean cumulants: A shuffle algebra approach

Kurusch Ebrahimi-Fard , Frédéric Patras
Advances in Mathematics, 2018, 328, pp.112-132. ⟨10.1016/j.aim.2018.01.003⟩
Journal articles hal-02375502v1
Image document

Hopf-algebraic deformations of products and Wick polynomials

Kurusch Ebrahimi-Fard , Frédéric Patras , Nikolas Tapia , Lorenzo Zambotti
International Mathematics Research Notices, 2018, rny269, pp.1--36. ⟨10.1093/imrn/rny269⟩
Journal articles hal-01608945v3
Image document

Right-handed Hopf algebras and the preLie forest formula

Frédéric Menous , Frédéric Patras
Annales IHP Série D, 2018, 5, pp.103-125
Journal articles hal-01232450v2
Image document

A theory of pictures for quasi-posets

Loïc Foissy , Claudia Malvenuto , Frédéric Patras
Journal of Algebra, 2017, 477, pp.496-515
Journal articles hal-01405344v1
Image document

Infinitesimal and B∞-algebras, finite spaces, and quasi-symmetric functions

Loïc Foissy , Claudia Malvenuto , Frédéric Patras
Journal of Pure and Applied Algebra, 2016, 220 (6), pp.2434-2458
Journal articles hal-00967351v2

The combinatorics of Green's functions in planar field theories.

Kurusch Ebrahimi-Fard , Frédéric Patras
Frontiers in Physics, 2016, 11 (6), ⟨10.1007/s11467-016-0585-2⟩
Journal articles hal-01287016v1
Image document

Deformations of shuffles and quasi-shuffles

Loïc Foissy , Frédéric Patras , Jean-Yves Thibon
Annales de l'Institut Fourier, 2016, 66 (1), pp.209-237. ⟨10.5802/aif.3010⟩
Journal articles hal-00880720v1

On particle Gibbs samplers

Pierre del Moral , Robert Kohn , Frédéric Patras
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2016, 52 (4), pp.1687-1733. ⟨10.1214/15-AIHP695⟩
Journal articles hal-01312953v1

Cumulants, free cumulants and half-shuffles

Kurusch Ebrahimi-Fard , Frédéric Patras
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2015, ⟨10.1098/rspa.2014.0843⟩
Journal articles hal-01287031v1

The exponential Lie series for continuous semimartingales

Kurusch Ebrahimi-Fard , Simon J.A. Malham , Frédéric Patras , Anke Wiese
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2015, ⟨10.1098/rspa.2015.0429⟩
Journal articles hal-01287021v1
Image document

A Fast Algorithm for the Construction of Integrity Bases Associated to Symmetry-Adapted Polynomial Representations. Application to Tetrahedral XY4 Molecules

Patrick Cassam-Chenaï , Guillaume Dhont , Frédéric Patras
Journal of Mathematical Chemistry, 2015, pp.58-85. ⟨10.1007/s10910-014-0410-5⟩
Journal articles hal-00879715v3
Image document

The splitting process in free probability theory

Kurusch Ebrahimi-Fard , Frédéric Patras
International Mathematics Research Notices, 2015, pp.rnv209. ⟨10.1093/imrn/rnv209⟩
Journal articles hal-01141525v1

Construire les mathématiques dans l'imagination

Frédéric Patras
Revue de Synthèse, 2015, pp.75-92. ⟨10.1007/s11873-014-0268-5⟩
Journal articles hal-01156417v1

The action of the special orthogonal group on planar vectors: integrity bases via a generalization of the symbolic interpretation of Molien functions

Guillaume Dhont , Frédéric Patras , Boris I Zhilinskií
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (3), pp.035201. ⟨10.1088/1751-8113/48/3/035201⟩
Journal articles hal-01158118v1
Image document

Modélisation, simulation et analyse de propriétés de réseaux orbitèles

Didier Josselin , Sonia Chekir , Alain Pasquet , Vincent Labatut , Yvan Capowiez et al.
Revue Internationale de Géomatique, 2015, 25 (4), pp.515-536. ⟨10.3166/RIG.25.515-536⟩
Journal articles hal-01249881v1
Image document

Flows and stochastic Taylor series in Itô calculus

Kurusch Ebrahimi-Fard , Simon J.A. Malham , Frédéric Patras , Anke Wiese
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (49), pp.495202 ⟨10.1088/1751-8113/48/49/495202⟩
Journal articles hal-01143516v1

A duality formula for Feynman–Kac path particle models

Pierre del Moral , Robert Kohn , Frédéric Patras
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2015, 353 (5), pp.465-469. ⟨10.1016/j.crma.2015.02.008⟩
Journal articles hal-01289272v1

The pre-Lie structure of the time-ordered exponential

Kurusch Ebrahimi-Fard , Frederic Patras
Letters in Mathematical Physics, 2014, 104, pp.1281-1302. ⟨10.1007/s11005-014-0703-4⟩
Journal articles hal-00866614v1
Image document

Natural endomorphisms of shuffle algebras

Loïc Foissy , Frédéric Patras
International Journal of Algebra and Computation, 2013, 23 (4), pp.989-1009
Journal articles hal-00696965v1

La structure combinatoire du calcul intégral.

Kurusch Ebrahimi-Fard , Frederic Patras
Gazette des Mathématiciens, 2013, 138, pp.5-22
Journal articles hal-00866616v1
Image document

Enveloping algebras of preLie algebras, Solomon idempotents and the Magnus formula

Frédéric Chapoton , Frédéric Patras
International Journal of Algebra and Computation, 2013, 23 (4), pp.853
Journal articles hal-00658228v2
Image document

Logarithmic derivatives and generalized Dynkin operators

Frederic Menous , Frédéric Patras
Journal of Algebraic Combinatorics, 2013, 38 (4), pp.901-913. ⟨10.1007/s10801-013-0431-3⟩
Journal articles hal-00710867v1

Natural endomorphisms of quasi-shuffle Hopf algebras

Jean-Christophe Novelli , F. Patras , Jean-Yves Thibon
Bulletin de la société mathématique de France, 2013, 141, pp.107-130. ⟨10.24033/bsmf.2644⟩
Journal articles hal-00823090v1

Mathématiques et herméneutique

Frédéric Patras
Archives de Philosophie, 2013, 76 (2), pp.217-238
Journal articles hal-01289281v1

Objets et idéalités dans les mathématiques contemporaines.

Frédéric Patras
Etudes platoniciennes, 2012, Platon aujourd'hui, IX, pp.47-61
Journal articles hal-01312963v1

Exponential renormalisation. II. Bogoliubov's R-operation and momentum subtraction schemes

Kurusch Ebrahimi-Fard , Frédéric Patras
Journal of Mathematical Physics, 2012, 53, pp.083505. ⟨10.1063/1.4742185⟩
Journal articles hal-01289223v1
Image document

The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems

Christian Brouder , Gérard Duchamp , Frédéric Patras , Gabor Zsolt Toth
International Journal of Quantum Chemistry, 2012, 112 (10), pp.2256-2266. ⟨10.1002/qua.23201⟩
Journal articles hal-00533128v1
Image document

Time-Ordering and a Generalized Magnus Expansion

Michel Bauer , Raphael Chetrite , Kurusch Ebrahimi-Fard , Frédéric Patras
Letters in Mathematical Physics, 2012, 103 (3), pp.Pas encore connu. ⟨10.1007/s11005-012-0596-z⟩
Journal articles hal-00762255v1
Image document

One-particle irreducibility with initial correlations

Christian Brouder , Frédéric Patras
Contemporary mathematics, 2011, 539, pp.1-25. ⟨10.1090/conm/539⟩
Journal articles hal-00267184v4

Convergence of U-statistics for interacting particle systems

Sylvain Rubenthaler , Pierre del Moral , Frédéric Patras
Journal of Theoretical Probability, 2011, 24 (4), pp.1002-1027. ⟨10.1007/s10959-011-0355-6⟩
Journal articles hal-00866889v1
Image document

Nonlocal, noncommutative diagrammatics and the linked cluster Theorems

Christian Brouder , Frédéric Patras
Journal of Mathematical Chemistry, 2011, 50, pp.552-576. ⟨10.1007/s10910-011-9828-1⟩
Journal articles hal-00576523v1
Image document

Tree expansion in time-dependent perturbation theory

Christian Brouder , Ângela Mestre , Frédéric Patras
Journal of Mathematical Physics, 2010, 51 (7), pp.072104. ⟨10.1063/1.3447733⟩
Journal articles hal-00436531v2
Image document

Hyperoctahedral Chen calculus for effective Hamiltonians

Christian Brouder , Frédéric Patras
Journal of Algebra, 2009, 322 (11), pp.4105-4120. ⟨10.1016/j.jalgebra.2009.07.017⟩
Journal articles hal-00342930v3
Image document

Tree based functional expansions for Feynman--Kac particle models

Pierre del Moral , Frédéric Patras , Sylvain Rubenthaler
Annals of Applied Probability, 2009, pp.778-825. ⟨10.1214/08-AAP565⟩
Journal articles hal-00086532v1

Coalescent tree based functional representations for some Feynman-Kac particle models

Pierre del Moral , Frédéric Patras , Sylvain Rubenthaler
Annals of Applied Probability, 2009, 19 (2), pp.778-825. ⟨10.1214/08-AAP565⟩
Journal articles inria-00537144v1

A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion

Kurusch Ebrahimi-Fard , Dominique Manchon , Frederic Patras
Journal of Noncommutative Geometry, 2009, 3 (2), pp.181-222
Journal articles hal-00483478v1
Image document

The convergence to equilibrium of neutral genetic models

Pierre del Moral , Laurent Miclo , Frédéric Patras , Sylvain Rubenthaler
Stochastic Analysis and Applications, 2009, 28 (1), pp.123-143. ⟨10.1080/07362990903415833⟩
Journal articles inria-00239259v4
Image document

Dynkin operators and renormalization group actions in pQFT.

Patras Frédéric
Contemporary mathematics, 2009, Vertex Operator Algebras and Related Areas, Eds M. Bergvelt, G. Yamskulna, W. Zhao, 497, pp.169-184
Journal articles hal-00341511v1

New identities in dendriform algebras

Kurusch Ebrahimi-Fard , Dominique Manchon , Frédéric Patras
Journal of Algebra, 2008, 320, pp.708-727
Journal articles hal-00483480v1

Twisted descent algebras and the Solomon-Tits algebra

Frederic Patras , Manfred Schocker
Advances in Mathematics, 2006, 199, pp.151-184
Journal articles hal-00128596v1

Cochain algebras of mapping spaces and finite group actions

Frederic Patras , Jean-Claude Thomas
Topology and its Applications, 2003, 128, pp.189-207
Journal articles hal-00128595v1
Image document

Quasi-shuffle algebras in non-commutative stochastic calculus

Kurusch Ebrahimi-Fard , Frédéric Patras
International Conference on Random Transformations and Invariance in Stochastic Dynamics, Stefania Ugolini, Marco Fuhrman, Elisa Mastrogiacomo, Paola Morando, Barbara Rüdiger, 2019, Verona, Italy. pp.89-112
Conference papers hal-02541173v1

Épistémologie historique et architecture du savoir

Paola Cantu , Frédéric Patras
III PHILMATHMED Workshop L’épistémologie historique, hier et aujourd’hui, Sébastien Maronne, Institut de Mathématiques de Toulouse UMR 5219, Université Toulouse III Paul Sabatier, Jun 2019, Toulouse, France
Conference papers halshs-02431579v1
Image document

Complex Systems: from the Presocratics to Pension Funds

Frédéric Patras , Víctor Planas-Bielsa
Lake Como School of Advanced Studies Complexity and Emergence: Ideas, Methods, with special attention to Economics and Finance, Sergio Albeverio, Elisa Mastrogiacomo, Emanuela Rosazza Gianin, Stefania Ugolini, 2018, Como, Italy. pp.107-136, ⟨10.1007/978-3-030-95703-2_5⟩
Conference papers hal-02516859v1

Modélisation, simulation et analyse de propriétés de réseaux orbitèles

Sonia Chekir , Didier Josselin , Alain Pasquet , Adrien Lammoglia , Cyrille Genre-Grandpierre et al.
SAGEO 2014, Nov 2014, Grenoble, France
Conference papers hal-01100520v1
Image document

Lie theory for quasi-shuffle bialgebras

Loïc Foissy , Frédéric Patras
Periods in Quantum Field Theory and Arithmetic, 2014, Madrid, Spain. pp.483-540
Conference papers hal-01311265v1
Image document

Symmetril moulds, generic group schemes, resummation of MZVs

Claudia Malvenuto , Frédéric Patras
Periods in Quantum Field Theory and Arithmetic, 2014, Madrid, France. pp.377-398
Conference papers hal-01279878v1

Networking Phenomenology and Didactics: horizons of didactical milieus with a focus on Abstract Algebra

Thomas Hausberger , Frédéric Patras
M. Bicudo, B. Czarnocha, M. Rosa & M. Marciniak. Philosophy of Mathematics Education - Past Present and Future, Springer, inPress
Book sections hal-03913162v1

Dal surrazionalismo alla surlogica? Sulla verità matematica.

Frédéric Patras
Mario Castellana, Il surrazionalismo di G. Bachelard., pp.447-456, 2021, Edizioni Milella di Emanuele Augier
Book sections hal-03000771v1

De l'unité, du Un et de l'infini chez Nicolas de Cues.

Frédéric Patras
Mathématiques et Métaphysique dans la pensée de Nicolas de Cues, Peeters, pp.61-80, 2021
Book sections hal-02376004v1

From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras

Frédéric Patras , Kurusch Ebrahimi-Fard
Combinatorial algebra and Hopf algebras, inPress
Book sections hal-03000778v1

A group-theoretical approach to conditionally free cumulants

Kurusch Ebrahimi-Fard , Frédéric Patras
F. Chapoton et al. eds. Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA), 31, Springer, pp.67-94, 2020, IRMA Lectures in Mathematical and Theoretical Physics
Book sections hal-02375990v1

On Non-commutative Stochastic Exponentials

Charles Curry , Kurusch Ebrahimi-Fard , Frédéric Patras
Numerical Mathematics and Advanced Applications. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham, pp.439-447, 2019, ⟨10.1007/978-3-319-96415-7_39⟩
Book sections hal-02376087v1
Image document

Renormalization: a quasi-shuffle approach

Frédéric Menous , Frédéric Patras
Celledoni, E. et al. Computation and Combinatorics in Dynamics, Stochastics and Control: The Abel Symposium 2016. Springer (2018), pp.599-628, 2018
Book sections hal-01492967v2

Approches phénoménologiques de la vérité mathématique

Frédéric Patras
Soyons Logiques, College Publications, 2016
Book sections hal-01287009v1

Il y a déjà de l'algèbre chez Euclide... ou presque

Frédéric Patras
J. Benoist, Th. Paul. Le Presque, Hermann, 2015
Book sections hal-01287026v1

Structural Counterparty Risk Valuation for Credit Default Swaps

Christophette Blanchet-Scalliet , Frédéric Patras
Credit Risk Frontiers: Subprime Crisis, Pricing and Hedging, CVA, MBS, Ratings, and Liquidity, WILEY, pp.437-456, 2011
Book sections hal-00594194v1

A Mean field theory of nonlinear filtering

Pierre del Moral , Frédéric Patras , Sylvain Rubenthaler
Dan Crisan, Boris L. Rozovskii. The Oxford Handbook of Nonlinear Filtering, Oxford University Press, pp.705-740, 2011, Oxford Handbooks in Mathematics, 978-0-19-953290-2
Book sections inria-00537331v1

Interacting path systems for credit portfolio risk analysis

Pierre del Moral , Frédéric Patras
D. Brigo, T. Bielecki, F. Patras. Recent advancements in the theory and practice of credit derivatives, Bloomberg Press, 2010
Book sections inria-00537891v1