Publications

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  Exponential renormalisation. II. Bogoliubovs R-operation and momentum subtraction schemes: Journal of Mathematical Physics 2012

  DOI: 10.1063/1.4742185
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84865731582&partnerID=MN8TOARS
  Ebrahimi-Fard, K. and Patras, F., (2012). "Exponential renormalisation. II. Bogoliubovs R-operation and momentum subtraction schemes", Journal of Mathematical Physics, vol. 53, no. 8
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  Nonlocal, noncommutative diagrammatics and the linked cluster theorems: Journal of Mathematical Chemistry 2012

  DOI: 10.1007/s10910-011-9828-1
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84856667681&partnerID=MN8TOARS
  Brouder, C. and Patras, F., (2012). "Nonlocal, noncommutative diagrammatics and the linked cluster theorems", Journal of Mathematical Chemistry, vol. 50, no. 3, pp. 552-576
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  The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems: International Journal of Quantum Chemistry 2012

  DOI: 10.1002/qua.23201
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84859577348&partnerID=MN8TOARS
  Brouder, C. and Duchamp, G.H.E. and Patras, F. and Tóth, G.Z., (2012). "The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems", International Journal of Quantum Chemistry, vol. 112, no. 10, pp. 2256-2266
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  Time-Ordering and a Generalized Magnus Expansion: Letters in Mathematical Physics 2012

  DOI: 10.1007/s11005-012-0596-z
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84869483853&partnerID=MN8TOARS
  Bauer, M. and Chetrite, R. and Ebrahimi-Fard, K. and Patras, F., (2012). "Time-Ordering and a Generalized Magnus Expansion", Letters in Mathematical Physics, pp. 1-20
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  Convergence of U-Statistics for Interacting Particle Systems: Journal of Theoretical Probability 2011

  DOI: 10.1007/s10959-011-0355-6
  http://www.scopus.com/inward/record.url?eid=2-s2.0-80255129301&partnerID=MN8TOARS
  Del Moral, P. and Patras, F. and Rubenthaler, S., (2011). "Convergence of U-Statistics for Interacting Particle Systems", Journal of Theoretical Probability, vol. 24, no. 4, pp. 1002-1027
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  Reading a mathematical text | Lire un texte mathématique: Quinzaine Litteraire 2011

  http://www.scopus.com/inward/record.url?eid=2-s2.0-80051812213&partnerID=MN8TOARS
  Patras, F., (2011). "Reading a mathematical text | Lire un texte mathématique", Quinzaine Litteraire, no. 1043
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  Exponential Renormalization: Annales Henri Poincare 2010

  DOI: 10.1007/s00023-010-0050-7
  http://www.scopus.com/inward/record.url?eid=2-s2.0-77955395798&partnerID=MN8TOARS
  Ebrahimi-Fard, K. and Patras, F., (2010). "Exponential Renormalization", Annales Henri Poincare, vol. 11, no. 5, pp. 1-29
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  The convergence to equilibrium of neutral genetic models: Stochastic Analysis and Applications 2010

  DOI: 10.1080/07362990903415833
  http://www.scopus.com/inward/record.url?eid=2-s2.0-77649106208&partnerID=MN8TOARS
  Del Moral, P. and Miclo, L. and Patras, F. and Rubenthaler, S., (2010). "The convergence to equilibrium of neutral genetic models", Stochastic Analysis and Applications, vol. 28, no. 1, pp. 123-143
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  Tree expansion in time-dependent perturbation theory: Journal of Mathematical Physics 2010

  DOI: 10.1063/1.3447733
  http://www.scopus.com/inward/record.url?eid=2-s2.0-77955523078&partnerID=MN8TOARS
  Brouder, C. and Mestre, Â. and Patras, F., (2010). "Tree expansion in time-dependent perturbation theory", Journal of Mathematical Physics, vol. 51, no. 7
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  A noncommutative bohnenblust-spitzer identity for Rota-Baxter algebras solves bogoliubov's recursion: Journal of Noncommutative Geometry 2009

  http://www.scopus.com/inward/record.url?eid=2-s2.0-67650869960&partnerID=MN8TOARS
  Ebrahimi-Fard, K. and Manchon, D. and Patras, F., (2009). "A noncommutative bohnenblust-spitzer identity for Rota-Baxter algebras solves bogoliubov's recursion", Journal of Noncommutative Geometry, vol. 3, no. 2, pp. 181-222
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  Hyperoctahedral Chen calculus for effective Hamiltonians: Journal of Algebra 2009

  DOI: 10.1016/j.jalgebra.2009.07.017
  http://www.scopus.com/inward/record.url?eid=2-s2.0-70349970496&partnerID=MN8TOARS
  Brouder, C. and Patras, F., (2009). "Hyperoctahedral Chen calculus for effective Hamiltonians", Journal of Algebra, vol. 322, no. 11, pp. 4105-4120
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  TRee based functional expansions for feynman-kac particle models: Annals of Applied Probability 2009

  DOI: 10.1214/08-AAP565
  http://www.scopus.com/inward/record.url?eid=2-s2.0-66149141882&partnerID=MN8TOARS
  Del Moral, P. and Patras, F. and Rubenthaler, S., (2009). "TRee based functional expansions for feynman-kac particle models", Annals of Applied Probability, vol. 19, no. 2, pp. 778-825
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  Lie theory for Hopf operads: Journal of Algebra 2008

  DOI: 10.1016/j.jalgebra.2008.03.016
  http://www.scopus.com/inward/record.url?eid=2-s2.0-43449109464&partnerID=MN8TOARS
  Livernet, M. and Patras, F., (2008). "Lie theory for Hopf operads", Journal of Algebra, vol. 319, no. 12, pp. 4899-4920
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  New identities in dendriform algebras: Journal of Algebra 2008

  DOI: 10.1016/j.jalgebra.2007.12.013
  http://www.scopus.com/inward/record.url?eid=2-s2.0-44449176073&partnerID=MN8TOARS
  Ebrahimi-Fard, K. and Manchon, D. and Patras, F., (2008). "New identities in dendriform algebras", Journal of Algebra, vol. 320, no. 2, pp. 708-727
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  Symmetry-adapted polynomial basis for global potential energy surfaces-applications to XY 4 molecules: Journal of Mathematical Chemistry 2008

  DOI: 10.1007/s10910-008-9354-y
  http://www.scopus.com/inward/record.url?eid=2-s2.0-55349106567&partnerID=MN8TOARS
  Cassam-Chenaï, P. and Patras, F., (2008). "Symmetry-adapted polynomial basis for global potential energy surfaces-applications to XY 4 molecules", Journal of Mathematical Chemistry, vol. 44, no. 4, pp. 938-966
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  Trees, set compositions and the twisted descent algebra: Journal of Algebraic Combinatorics 2008

  DOI: 10.1007/s10801-006-0028-1
  http://www.scopus.com/inward/record.url?eid=2-s2.0-47249138269&partnerID=MN8TOARS
  Patras, F. and Schocker, M., (2008). "Trees, set compositions and the twisted descent algebra", Journal of Algebraic Combinatorics, vol. 28, no. 1, pp. 3-23
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  A Lie theoretic approach to renormalization: Communications in Mathematical Physics 2007

  DOI: 10.1007/s00220-007-0346-8
  http://www.scopus.com/inward/record.url?eid=2-s2.0-35348882083&partnerID=MN8TOARS
  Ebrahimi-Fard, K. and Gracia-Bondía, J.M. and Patras, F., (2007). "A Lie theoretic approach to renormalization", Communications in Mathematical Physics, vol. 276, no. 2, pp. 519-549
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  Rota-baxter algebras and new combinatorial identities: Letters in Mathematical Physics 2007

  DOI: 10.1007/s11005-007-0168-9
  http://www.scopus.com/inward/record.url?eid=2-s2.0-34547410836&partnerID=MN8TOARS
  Kurusch, E.-F. and Gracia-Bondía, J.M. and Patras, F., (2007). "Rota-baxter algebras and new combinatorial identities", Letters in Mathematical Physics, vol. 81, no. 1, pp. 61-75
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  The coordinator polynomial of some cyclotomic lattices: European Journal of Combinatorics 2007

  DOI: 10.1016/j.ejc.2005.10.003
  http://www.scopus.com/inward/record.url?eid=2-s2.0-33748885795&partnerID=MN8TOARS
  Patras, F. and Solé, P., (2007). "The coordinator polynomial of some cyclotomic lattices", European Journal of Combinatorics, vol. 28, no. 1, pp. 17-25
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  A reflection principle for correlated defaults: Stochastic Processes and their Applications 2006

  DOI: 10.1016/j.spa.2005.11.005
  http://www.scopus.com/inward/record.url?eid=2-s2.0-32844471302&partnerID=MN8TOARS
  Patras, F., (2006). "A reflection principle for correlated defaults", Stochastic Processes and their Applications, vol. 116, no. 4, pp. 690-698
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  Twisted descent algebras and the Solomon-Tits algebra: Advances in Mathematics 2006

  DOI: 10.1016/j.aim.2005.01.010
  http://www.scopus.com/inward/record.url?eid=2-s2.0-30944447078&partnerID=MN8TOARS
  Patras, F. and Schocker, M., (2006). "Twisted descent algebras and the Solomon-Tits algebra", Advances in Mathematics, vol. 199, no. 1, pp. 151-184
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  On the Garsia Lie idempotent: Canadian Mathematical Bulletin 2005

  http://www.scopus.com/inward/record.url?eid=2-s2.0-24344435217&partnerID=MN8TOARS
  Patras, F. and Reutenauer, C. and Schocker, M., (2005). "On the Garsia Lie idempotent", Canadian Mathematical Bulletin, vol. 48, no. 3, pp. 445-454
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  Higher order, generalized, Schmidt decompositions for indistinguishable, overlapping particles: Physics Letters, Section A: General, Atomic and Solid State Physics 2004

  DOI: 10.1016/j.physleta.2004.04.047
  http://www.scopus.com/inward/record.url?eid=2-s2.0-2942617033&partnerID=MN8TOARS
  Cassam-Chenaï, P. and Patras, F., (2004). "Higher order, generalized, Schmidt decompositions for indistinguishable, overlapping particles", Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 326, no. 5-6, pp. 297-306
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  Cochain algebras of mapping spaces and finite group actions: Topology and its Applications 2003

  DOI: 10.1016/S0166-8641(02)00113-X
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0038350792&partnerID=MN8TOARS
  Patras, F. and Thomas, J.-C., (2003). "Cochain algebras of mapping spaces and finite group actions", Topology and its Applications, vol. 128, no. 2-3, pp. 189-207
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  Lambda-rings: Handbook of Algebra 2003

  DOI: 10.1016/S1570-7954(03)80077-3
  http://www.scopus.com/inward/record.url?eid=2-s2.0-30944431817&partnerID=MN8TOARS
  Patras, F., (2003). "Lambda-rings", Handbook of Algebra, vol. 3, pp. 961-986
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  The Hopf algebra of identical, fermionic particle systems - Fundamental concepts and properties: Journal of Mathematical Physics 2003

  DOI: 10.1063/1.1611266
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0242635638&partnerID=MN8TOARS
  Cassam-Chenaï, P. and Patras, F., (2003). "The Hopf algebra of identical, fermionic particle systems - Fundamental concepts and properties", Journal of Mathematical Physics, vol. 44, no. 11, pp. 4884-4906
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  Lie representations and an algebra containing Solomon's: Journal of Algebraic Combinatorics 2002

  DOI: 10.1023/A:1021856522624
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0036881069&partnerID=MN8TOARS
  Patras, F. and Reutenauer, C., (2002). "Lie representations and an algebra containing Solomon's", Journal of Algebraic Combinatorics, vol. 16, no. 3, pp. 301-314
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  On Dynkin and Klyachko idempotents in graded bialgebras: Advances in Applied Mathematics 2002

  DOI: 10.1006/aama.2001.0795
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0036087173&partnerID=MN8TOARS
  Patras, F. and Reutenauer, C., (2002). "On Dynkin and Klyachko idempotents in graded bialgebras", Advances in Applied Mathematics, vol. 28, no. 3-4, pp. 560-579
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  Generic algebras and iterated Hochschild homology: Journal of Pure and Applied Algebra 2001

  DOI: 10.1016/S0022-4049(00)00116-X
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0038140933&partnerID=MN8TOARS
  Patras, F., (2001). "Generic algebras and iterated Hochschild homology", Journal of Pure and Applied Algebra, vol. 162, no. 2-3, pp. 337-357
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  Adams operations, algebras up to homotopy and cyclic homology: Topology 2000

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0034311122&partnerID=MN8TOARS
  Patras, F., (2000). "Adams operations, algebras up to homotopy and cyclic homology", Topology, vol. 39, no. 6, pp. 1089-1101
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  A Leray theorem for the generalization to operads of Hopf algebras with divided powers: Journal of Algebra 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0033566514&partnerID=MN8TOARS
  Patras, F., (1999). "A Leray theorem for the generalization to operads of Hopf algebras with divided powers", Journal of Algebra, vol. 218, no. 2, pp. 528-542
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  Higher Lie idempotents: Journal of Algebra 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0033451842&partnerID=MN8TOARS
  Patras, F. and Reutenauer, C., (1999). "Higher Lie idempotents", Journal of Algebra, vol. 222, no. 1, pp. 51-64
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  The generic homology is a Tor functor | L'homologie générique est un foncteur Tor: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0033114708&partnerID=MN8TOARS
  Patras, F., (1999). "The generic homology is a Tor functor | L'homologie générique est un foncteur Tor", Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, vol. 328, no. 7, pp. 569-572
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  Adams operations, iterated integrals and free loop spaces cohomology: Journal of Pure and Applied Algebra 1997

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0031590937&partnerID=MN8TOARS
  Patras, F., (1997). "Adams operations, iterated integrals and free loop spaces cohomology", Journal of Pure and Applied Algebra, vol. 114, no. 3, pp. 273-286
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  Decent Algebra of a Graduated Bigebra: Journal of Algebra 1994

  DOI: 10.1006/jabr.1994.1352
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0000031333&partnerID=MN8TOARS
  Patras, F., (1994). "Decent Algebra of a Graduated Bigebra", Journal of Algebra, vol. 170, no. 2, pp. 547-566

Grants

Patents