Patras Frédéric
Présentation
Pour des données complètes, se référer à
Publications
Publications
Mathematical understanding and mathematical translation(s), International Workshop “Mathematics, history and philosophy of mathematics: Which interactions?”, International Center of Mathematical Research (CIRM), Nov 2025, Marseille, France |
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Les structures : concepts ou objets épistémiques ?Journée Bourbaki et le structuralisme, ANR BANANA, Feb 2025, Paris, France |
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Complex Systems: from the Presocratics to Pension FundsLake 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⟩ |
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Quasi-shuffle algebras in non-commutative stochastic calculusInternational 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 |
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Symmetril moulds, generic group schemes, resummation of MZVsPeriods in Quantum Field Theory and Arithmetic, 2014, Madrid, France. pp.377-398 |
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Lie theory for quasi-shuffle bialgebrasPeriods in Quantum Field Theory and Arithmetic (ICMAT-MZV 2014), Sep 2014, Madrid, Spain. pp.483-540, ⟨10.1007/978-3-030-37031-2_19⟩ |
Épistémologie historique et architecture du savoirIII 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 |
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Modélisation, simulation et analyse de propriétés de réseaux orbitèlesSAGEO 2014, Nov 2014, Grenoble, France |
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The Essence of NumbersOuvrages hal-03000707v1 |
La Possibilité des nombresPUF, 2014 |
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Rediscovering Phenomenology. Phenomenological Essays on Mathematical Beings, Physical Reality, Perception and ConsciousnessSpringer, pp.393, 2007 |
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Russell and Carnap or Bourbaki? Two Ways Towards StructuresPaola Cantù; Georg Schiemer. Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle, 29, Springer Nature Switzerland, pp.193-216, 2023, Vienna Circle Institute Yearbook, 978-3-031-42189-1. ⟨10.1007/978-3-031-42190-7_9⟩ |
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Networking Phenomenology and Didactics: horizons of didactical milieus with a focus on Abstract AlgebraM. Bicudo; B. Czarnocha; M. Rosa & M. Marciniak. Ongoing Advancements in Philosophy of Mathematics Education, Springer, pp.87-102, 2023, ⟨10.1007/978-3-031-35209-6_4⟩ |
Dal surrazionalismo alla surlogica? Sulla verità matematica.Mario Castellana, Il surrazionalismo di G. Bachelard., pp.447-456, 2021, Edizioni Milella di Emanuele Augier |
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De l'unité, du Un et de l'infini chez Nicolas de Cues.Mathématiques et Métaphysique dans la pensée de Nicolas de Cues, Peeters, pp.61-80, 2021 |
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Lie Theory for Quasi-Shuffle BialgebrasJosé Ignacio Burgos Gil; Kurusch Ebrahimi-Fard; Herbert Gangl. Periods in Quantum Field Theory and Arithmetic (ICMAT-MZV 2014), 314, Springer International Publishing, pp.483-540, 2020, Springer Proceedings in Mathematics & Statistics (PROMS,volume 314), 9783030370336. ⟨10.1007/978-3-030-37031-2_19⟩ |
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From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebrasCombinatorial algebra and Hopf algebras, In press |
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A group-theoretical approach to conditionally free cumulantsF. Chapoton et al. eds. Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA), 31, Springer, pp.67-94, 2020, IRMA Lectures in Mathematical and Theoretical Physics |
On Non-commutative Stochastic ExponentialsNumerical 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⟩ |
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Renormalization: a quasi-shuffle approachCelledoni, E. et al. Computation and Combinatorics in Dynamics, Stochastics and Control: The Abel Symposium 2016. Springer (2018), pp.599-628, 2018 |
Approches phénoménologiques de la vérité mathématiqueSoyons Logiques, College Publications, 2016 |
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Il y a déjà de l'algèbre chez Euclide... ou presqueJ. Benoist, Th. Paul. Le Presque, Hermann, 2015 |
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Structural Counterparty Risk Valuation for Credit Default SwapsCredit Risk Frontiers: Subprime Crisis, Pricing and Hedging, CVA, MBS, Ratings, and Liquidity, WILEY, pp.437-456, 2011 |
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A Mean field theory of nonlinear filteringDan 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 |
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Interacting path systems for credit portfolio risk analysisD. Brigo, T. Bielecki, F. Patras. Recent advancements in the theory and practice of credit derivatives, Bloomberg Press, 2010 |
On particle Gibbs Markov chain Monte Carlo models[Research Report] Arxiv. 2014 |
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Interacting path systems for credit portfolios risk analysis[Research Report] RR-7196, INRIA. 2010, pp.9 |
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Convergence of U-statistics for interacting particle systems[Research Report] RR-6966, INRIA. 2009, pp.20 |
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A Mean Field Theory of Nonlinear Filtering[Research Report] RR-6437, INRIA. 2008 |
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Coalescent tree based functional representations for some Feynman-Kac particle models[Research Report] PI 1813, 2006, pp.45 |
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Coalescent tree based functional representations for some Feynman-Kac particle models[Research Report] RR-5969, INRIA. 2006, pp.45 |