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Contemporary Mathematical Thinking. Synthese Library 474. Springer, 2023.
L'objectivité en mathématiques. P. Cantù, B. Halimi, G. Heinzmann, F. Patras (Eds). Noesis 38, 2022.
Classical Hopf Algebras and Their Applications. P. Cartier and F. Patras. Algebra and Applications, volume 29, Springer, 2021.
The Essence of Numbers. Lecture Notes in Mathematics. History of Mathematics Subseries. Springer, 2020.
Il
pensiero matematico contemporaneo. Trad. It. G. de Vivo e P.
Pagli, Bollati Boringhieri, Collana I Grandi Pensatori (ed. tascabile), 2017.
La Possibilité des nombres. Coll. Science, histoire
et société, P.U.F., 2014.
Mathématiques et Métaphysique. Archives de Philosophie.
Editeur invité pour le Cahier - 76-2 Eté 2013.
Credit Risk Frontiers. D. Brigo, T. Bielecki, F.
Patras (Eds.), Wiley--Bloomberg Press, 2011.
Rediscovering
Phenomenology. L. Boi; P. Kerszberg; F. Patras (Eds.).
Phaenomenologica , Vol. 182 Springer,
2007.
Il
pensiero matematico contemporaneo. Trad. It. G. de Vivo e P.
Pagli, Bollati Boringhieri, Collana Saggi Scienze, 2006.
La
Pensée mathématique contemporaine. Coll. Science, histoire
et société, P.U.F., 2001 (2 ed.: 2002).
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With R. Chétrite, Algebraic structures underlying quantum independences : Theory and Applications, arXiv:2210.09264.
With Ilya Chevyrev, Kurusch Ebrahimi-Fard, Algebraic groups in non-commutative probability theory revisited. arXiv:2208.02585.
With Kurusch Ebrahimi-Fard, Nikolas Tapia, Lorenzo Zambotti, Shifted substitution in non-commutative multivariate power series with a view toward free probability. arXiv:2204.014459.
With Adrian Celestino, A forest formula for pre-Lie exponentials, Magnus' operator and cumulant-cumulant relations. arXiv:2203.1196810.
With Kurusch Ebrahimi-Fard, N. Tapia, L. Zambotti Wick polynomials in non-commutative probability: a group-theoretical approach. Canad J Math, Vol. 74 (6) 2022, 1673-1699.
Avec Sébastien Maronne, L'épistémologie mathématique de Gaston Bachelard, Bachelard Studies / \'Etudes Bachelardiennes / Studi Bachelardiani, nn. 1-2, 2022, 51-68.
Phénoménologie, représentations, combinatoire, in When form becomes substance, L. Boi et al. eds, Springer, (2022) 315-326.
With R. Chétrite, Les structures algébriques de l'aléatoire, du classique au quantique. In Informatique mathématique. Une photographie en 2022, B. Martin et al. eds, CNRS Editions, 2022, 245--292.
Avec P. Cantù, B. Halimi, G. Heinzmann, L'objectivité en mathématiques. Préface. Noesis 38 (2022) 7-18.
Avec G. Crocco, Introduction à la leçon inaugurale (G.-G. Granger, 1987). Noesis 38 (2022) 7-18.
With A. Celestino, K. Ebrahimi-Fard, D. Perales Anaya Cumulant-cumulant relations in free probability theory from Magnus' expansion. Found. of Comput. Math. 22(3): 733-755 (2022).
With V. Planas-Bielsa Complex Systems: From the Presocratics to Pension Funds, in Complexity and Emergence. Lake Como School of dvances Studies, Italy, July 22-27, 2018. S. Albeverio et al. (eds), Springer Proceedings in Mathematics and Statistics, 2022, 107-136.
Philosophie mathématique, l'école française au XX° siècle : histoire, logique, mathématiques. In Précis de philosophie de la logique et des mathématiques. Vol 2. Philosophie des mathématiques. A Arana et al. (eds). Editions de la Sorbonne, 2022, 467-482.
With Kurusch Ebrahimi-Fard, From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Algebra and Applications 2, Combinatorial algebra and Hopf algebras, ed. A. Makhlouf, ISTE Ltd-Wiley, 2021 55-118.
Dal surrazionalismo alla surlogica? Sulla verità matematica. in Mario Castellana, Il surrazionalismo di G. Bachelard, Edizioni Milella di Emanuele Augieri, 2021, 447-456.
Postfazione, Mario Castellana, Il dibattito in area francofona sul pensiero matematico e Kurt Gödel, Edizioni Studium, 2021.
With K. Ebrahimi-Fard Quasi-shuffle algebras in non-commutative stochastic calculus. In: Ugolini, S., Fuhrman, M., Mastrogiacomo, E., Morando, P., Rüdiger, B. (eds) Geometry and Invariance in Stochastic Dynamics. RTISD19 2019. Springer Proceedings in Mathematics & Statistics, vol 378. Springer (2021), 89-112.
Prouver et composer : quelques analogies. in Rigueur, Th. Paul et M. Schmidt eds, Spartacus idh, 2021, 47-58.
With Patrick Cassam-Chenai, Guillaume Dhont Molien functions and generalized integrity bases for SO(3) and related groups. J. Math Chem (59) 2021 2294-2326.
De l’unité, du Un et de la finitude chez Nicolas de Cues, in J.-M. Counet (ed.), Mathématiques et Métaphysique dans la pensée de Nicolas de Cues, Peeters, Louvain la Neuve (2021), pp. 61-80.
D. Pradelle : Intuition et idéalités. Phénoménologie des objets mathématiques (Review), History and Philosophy of Logic, 2021 (online).
With Kurusch Ebrahimi-Fard, A group-theoretical approach to conditionally free cumulants. in Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA),F. Chapoton et al. eds, IRMA Lectures in Mathematics and Theoretical Physics Vol.31, (2020), 67-94.
With Kurusch Ebrahimi-Fard, Loic Foissy and Joachim Kock, Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics 369 (2020) 107170.
With Loic Foissy, Surjections and double posets. Séminaire Lotharingien de Combinatoire 82 (2020), Article B82a.
With Loic Foissy, Lie theory for quasi-shuffle bialgebras. in Symmetril Moulds, Generic Group Schemes, Resummation of MZVs. In: Burgos Gil J. et al. (eds) Periods in Quantum Field Theory and Arithmetic. ICMAT-MZV 2014. Springer Proceedings in Mathematics and Statistics, vol 314. Springer, Cham (2020) 483-540.
With Claudia Malvenuto, Symmetril moulds, generic group schemes, resummation of MZVs. in Symmetril Moulds, Generic Group Schemes, Resummation of MZVs. In: Burgos Gil J. et al. (eds) Periods in Quantum Field Theory and Arithmetic. ICMAT-MZV 2014. Springer Proceedings in Mathematics and Statistics, vol 314. Springer, Cham (2020) 377-398.
With Th. Hausberger, The didactic contract and its horizon of expectation. Educere et Educare, 2019, 15 (33).
With K. Ebrahimi-Fard, Shuffle group laws. Applications in free probability. Proc. London Math. Soc. Volume 119, Issue 3, September 2019, 814-840.
With C. Curry and K. Ebrahimi-Fard, On Non-commutative Stochastic Exponentials. In: Radu F., Kumar K., Berre I., Nordbotten J., Pop I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham (2019).
With Kurusch Ebrahimi-Fard, Nikolas Tapia and Lorenzo Zambotti,
Hopf-algebraic Deformations of Products and Wick Polynomials. International Mathematics Research Notices, rny269, pp. 1–36, 2018.
With K. Ebrahimi-Fard, Monotone, free, and boolean cumulants: a shuffle algebra approach. Advances in Mathematics 328 (2018) 112-132.
With F. Menous, Renormalization: a quasi-shuffle approach. Computation and Combinatorics in Dynamics, Stochastics and Control: The Abel Symposium 2016. Celledoni, E. et al. Springer (2018), pp. 599-628.
With Kurusch Ebrahimi-Fard, Nikolas Tapia and Lorenzo Zambotti,
Hopf-algebraic Deformations of Products and Wick Polynomials. International Mathematics Research Notices, rny269, pp. 1–36, 2018.
With Mahdi J. Hasan Al-Kaabi, Dominique Manchon, Monomial bases and pre-Lie structure for free Lie algebras. Journal of Lie Theory 28 (2018), No. 4, 941-967.
Enjeux et limites des modèles. Cahiers de psychologie politique, n. 33, Juillet 2018.
With Frédéric Menous, Right-handed bialgebras and the Prelie forest formula. Annales I.H.P. Série D, Volume 5, Issue 1, 2018, 103-125.
With S. El Kolei, Analysis, detection and correction of misspecified discrete time state space models. Journal of Computational and Applied Mathematics 333 (2018) 200–214.
De la combinatoire algébrique à la phénoménologie. Revue de Synthèse 138 (1-4) (2017) 151-175.
With Loic Foissy and Claudia Malvenuto, A theory of pictures for quasi-posets. J. Algebra, (477), 496-515, 2017.
With K. Ebrahimi-Fard and R. Speicher, Epsilon-noncrossing partitions and cumulants in free probability. International Mathematics Research Notices, Mai 2017, rnx098
With P. Del Moral and R. Kohn, On Feynman-Kac and particle Markov chain Monte Carlo
models. Annales de l’Institut Henri Poincaré - Probabilités et Statistiques. 2016, Vol. 52, No. 4, 1687–1733.
With K. Ebrahimi-Fard, The combinatorics of Green's functions in planar field theories. Front. Phys. 11(6), 110310 (2016).
With Loïc Foissy and Jean-Yves Thibon, Deformations of shuffles and quasi-shuffles. Annales Inst. Fourier, Tome 66, no 1 (2016), p. 209-237.
Approches phénoménologiques de la vérité mathématique, Cahiers de Logique et d'Epistemologie n. 22 , A. Moktefi et al. eds, College Publications (2016) 129-148.
With Loic Foissy and Claudia Malvenuto, Infinitesimal and B-infinity algebras, finite spaces, and quasi-symmetric functions. J. Pure Appl. Algebra, 220 (6), 2016, 2434-2458.
With K. Ebrahimi-Fard, S.J.A. Malham and A. Wiese, The exponential Lie series for continuous semimartingales. Proc. R. Soc. A 2015 471 20150429.
With K. Ebrahimi-Fard, S.J.A. Malham and A. Wiese, Flows and stochastic Taylor series in Ito calculus.
J. Phys. A: Math. Theor. 48 (2015) 495202.
With K. Ebrahimi-Fard, The splitting process in free probability theory. International Mathematics Research Notices 2015;
doi: 10.1093/imrn/rnv209.
Il y a déjà de l'algèbre chez Euclide... ou presque. in Le Presque, J. Benoist et Th. Paul eds, Hermann (2015).
With K. Ebrahimi-Fard, Cumulants, free cumulants and half-shuffles. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences Vol. 471, No. 2176, (2015), p. 20140843.
Construire les mathématiques dans l’imagination, Revue de Synthèse, tome 136, 6e série, n° 1-2, 2015, p. 75-92.
With P. Del Moral and R. Kohn, A duality formula for Feynman-Kac particle models. C. R. Acad. Sci. Paris, Ser. I 353 (2015) 465–469
With Guillaume Dhont and Boris Zhilinskii,
The action of the special orthogonal group on planar vectors: integrity bases via a generalization of the symbolic interpretation of Molien functions, J. Phys. A: Math. Theor. 48 (2015) 035201.
With Patrick Cassam-Chenaï and Guillaume Dhont,
A Fast Algorithm for the Construction of Integrity Bases Associated to Symmetry-Adapted Polynomial Representations. Application to Tetrahedral XY4 Molecules. J. Math. Chem., Volume 53, Issue 1 (2015), 58-85
With K. Ebrahimi-Fard, The
preLie structure of the time-ordered exponential. Lett. Math. Phys. (2014), 104, 1281–1302.
With S. Chekir, D. Josselin, A. Pasquet,
A. Lammoglia, C. Genre-Grandpierre,
Ch. Mazzia, Y. Capowiez,
R. El Azouzi, Y. Hayel, D. Mitsche, Modélisation, simulation et analyse de
propriétés de réseaux orbitèles. SAGEO 2014, Grenoble, 24-27 novembre 2014.
Les nombres existent-ils vraiment ? (extrait de La Possibilité des nombres, L. Allemand éd.), La Recherche, Sept. 2014.
With K. Ebrahimi-Fard,
La structure combinatoire du calcul intégral, Gazette des mathématiciens, 138, Octobre 2013, 5-22.
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With F. Menous Logarithmic
Derivatives and Generalized Dynkin Operators. Journal of Algebraic Combinatorics: Volume 38, Issue 4 (2013), Page 901-913
Mathématiques et herméneutique. Archives de Philosophie 76 (2013)
217-238.
With Pierre Cohort and Pierre-Emmanuel Levy dit Vehel,
Toward model value-at-risk: bespoke CDO tranches, a case study. The Journal of Risk Model Validation: Volume 7/Number 3, Fall 2013.
L'intuition probabiliste et les méthodes de Monte Carlo, in
Le Formalisme en action, J. Benoist et Th. Paul eds, Hermann, Paris, 2013, 67-86.
With J.C. Novelli and J.Y. Thibon. Natural endomorphisms of
quasi-shuffle Hopf algebras. Bull. Soc. math. France
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With L. Foissy Natural
endomorphisms of shuffle algebras Int. J. Algebra and Computation
Vol. 23, No. 4 (2013) 989–1009.
With F. Chapoton
Enveloping algebras of preLie algebras, Solomon idempotents and the
Magnus formula Int. J. Algebra
and Computation
Vol. 23, No. 4 (2013) 853–861
With M. Bauer, R. Chetrite and K. Ebrahimi-Fard Time-ordering
and a generalized Magnus expansion Letters Math. Phys. (2013),
103 (3), 331-350.
Objets et idéalités dans les
mathématiques contemporaines. Etudes
Platoniciennes IX [Platon aujourd'hui], 2012, 47-61.
With K. Ebrahimi-Fard
Exponential Renormalization II: Bogoliubov's R-operation and momentum
subtraction schemes
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With
Ch.
Brouder,
G.
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J. Math. Chem.
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P. Del Moral and S. Rubenthaler.
A mean field theory of nonlinear filtering. Crisan, Dan (ed.) et al.,
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J Theor Probab (2011) 24:1002–1027.
With
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Brouder. One-particle irreducibility with initial correlations. Combinatorics
and Physics
Eds Ebrahimi-Fard, Marcolli, van Suijlekom,
Contemporary Mathematics
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Moral.
Interacting path
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Bielecki, F. Patras Eds. Wiley--Bloomberg Press, (2011), 649--674.
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counterparty risk valuation for CDS. "Credit Risk
Frontiers". D. Brigo, T. Bielecki, F. Patras Eds. Wiley--Bloomberg
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A. Mestre. Tree expansions
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Bohnenblust-Spitzer identity for Rota-Baxter algebras solves
Bogolioubov's recursion .
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Jean-Pierre
Lardy and
Francois-Xavier Vialard. Correlation, CDOs of ABS and the subprime
crisis, in: Financial Risks: New Developments in Structured Product and
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With K. Ebrahimi-Fard and D. Manchon. New identities in dendriform
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Theory and its Applications in Physics VII, 35 (s1), 303-315 (2008)
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(1990), 501-504.
L'intuition
leibnizienne d'un calcul proprement géométrique. Séminaire
d'Histoire
des Mathématiques de l'ENS. Avril 1988.
GDR Renormalisation Annual Meeting 2022
Hopf Algebras and Applications
November 14-18, Univ. du Littoral Côte d’Opale, Calais, France
FPMW13 - 13th French PhilMath Workshop
Treizième rencontre française de Philosophie des Mathématiques
7-9 oct. 2021, Nice
2ème Journée INTEREPISTEME 2021
6 oct. 2021, Nice
Higher Structures Emerging from Renormalisation
Master Class and Workshop
ESI, Vienna
November 8 - 19, 2021
Algebraic Combinatorics of the Symmetric Groups and Coxeter Groups
5-9 July 2021.
Cetraro, Italy.
Geometry and Algebra in Stochastic Dynamics
27-29 Janvier 2020
Département de mathématiques, Université de Milan.
Rencontres du GDR Renormalisation 2019 : Equations de Dyson-Schwinger
Calais, du 30 septembre au 4 octobre 2019.
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville.
TACL 2019
Topology, Algebra, and Categories in Logic 2019.
Nice, June 17 - 21 (conference)
Ile de Porquerolles, June 10 - 15 (school).
PhilMathMED 2019
L'épistémologie historique, hier et aujourd'hui.
Rencontre des 6 et 7 Juin 2019.
Institut de Mathématiques de Toulouse UMR 5219, Université Toulouse III Paul Sabatier.
Rencontres du GDR Renormalisation
Laboratoire de Mathématiques Blaise Pascal
Clermont-Ferrand, 12-16 novembre 2018
PhilMathMED 2018
Logique, langages, preuves.
MONTPELLIER, 31 Mai et 1er Juin 2018.
OUTILS DE TOPOLOGIE ALGEBRIQUE ET D'ALGEBRE HOMOLOGIQUE
ECOLE DU CIMPA
YAOUNDE, CAMEROUN.
9 - 20 AVRIL 2018
Logique catégorique, topos et dualités.
8-12 Janvier 2018
Laboratoire Dieudonné, Université de Nice
18th Santaló Summer School "Algebraic and Combinatorial Methods in Stochastic Calculus"
July 17-21, 2017
Palacio de La Magdalena, Santander, Spain
Rencontre PhilMathMED
Journée des 9-10 Juin 2017
Laboratoire Dieudonné
CIMPA School: New interactions of Combinatorics and Probability
Instituto de Ciências Matemáticas e de Computação (ICMC), Universidade de São Paulo, Brazil, August 24- September 4, 2015.
4th Winter Workshop on Non-Perturbative Quantum Field Theory INLN, Sophia-Antipolis, 2-5 February 2015
COMBINATOIRE DES SYSTEMES DYNAMIQUES CIRM, 18 au 22 Nov. 2013
PHENOMATHANICE2,
Lire, dire et écrire (les mathématiques) Nice, Lab. Dieudonné, 10-11 Octobre 2013
3rd WINTER WORKSHOP ON
NON-PERTURBATIVE QUANTUM FIELD THEORY INLN, 28-29 (30) Mai 2013
MATHEMATICAL
ASPECTS OF HADRON PHYSICS
European Centre for Theoretical Studies in Nuclear Physics and Related
Areas (ECT*),
October 8-12, 2012, Trento, Italy.
REGULARIZATIONS
AND
RENORMALIZATION SCHEMES Nice,
MARCH 24-25 2011
PHENOMATHNICE
, 9-10 Décembre 2010.
COCO
2010
Trimester on
COMBINATORICS AND CONTROL at Madrid, April - June, 2010
RECENT
ADVANCEMENTS IN THE THEORY AND PRACTICE OF CREDIT DERIVATIVES.
Conference in NICE, September 28-30, 2009
ALGEBRAIC
AND COMBINATORIAL STRUCTURES IN QUANTUM FIELD THEORY. Summer School
and Conference in Cargese (Corsica), March 23- April 3, 2009
CALCUL
MOULIEN, RENORMALISATION ET ALGEBRES DE HOPF
Workshop at Orsay, 5-6 Fev. 2009
CALCUL
MOULIEN, RESURGENCE, RESOMMATION.
Workshop à Nice, 15-17 Octobre
2008
ALGEBRES
DE HOPF ET CALCUL MOULIEN Groupe
de travail à
l'Observatoire (de Paris), Octobre 2007--Mai 2008
THIRD INTERNATIONAL MEETING : Mathematical
Methods for Ab Initio Quantum
Chemistry Nice, 19-20 October 2007
SHUFFLES,
DESCENTS AND REPRESENTATIONS,
NICE, SEPTEMBER 10-14 2007, A
CONFERENCE IN MEMORY OF MANFRED SCHOCKER
SECOND INTERNATIONAL MEETING : Mathematical
Methods for Ab Initio Quantum
Chemistry , Nice, 20-21 October
2006
FIRST INTERNATIONAL MEETING : Mathematical
Methods for Ab Initio Quantum
Chemistry, Nice, 18-19 November
2005
Copyright @ 2010
Laboratoire
J.A. Dieudonné
