Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Fauvet, Frédéric"'
Autor:
Fauvet, Frederic
Paralogarithms constitute a family of special functions, which are some generalizations of hyperlogarithms. They have been introduced by Jean Ecalle in the context of the classification of complex analytic dynamical systems with irregular singulariti
Externí odkaz:
http://arxiv.org/abs/2007.09708
Publikováno v:
J. Math. Phys. 61, 092301 (2020)
We describe the resurgence properties of some partition functions corresponding to field theories in dimension 0. We show that these functions satisfy linear differential equations with polynomial coefficients and then use elementary stability result
Externí odkaz:
http://arxiv.org/abs/1910.01606
Publikováno v:
Journal of Algebra, Volume 489, (2017) 552-581
An internal coproduct is described, which is compatible with Hoffman's quasi-shuffle product. Hoffman's quasi-shuffle Hopf algebra, with deconcatenation coproduct, is a comodule-Hopf algebra over the bialgebra thus defined. The relation with J. Ecall
Externí odkaz:
http://arxiv.org/abs/1609.03549
We describe four natural operad structures on the vector space generated by isomorphism classes of finite posets. The three last ones are set-theoretical and can be seen as a simplified version of the first, the same way the NAP operad behaves with r
Externí odkaz:
http://arxiv.org/abs/1604.08149
We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormoulds", which are the natural version of J. Ecalle's moulds in this sett
Externí odkaz:
http://arxiv.org/abs/1503.03820
Autor:
Fauvet, Frédéric, Menous, Frederic
We give a natural and complete description of Ecalle's mould-comould formalism within a Hopf-algebraic framework. The arborification transform thus appears as a factorization of characters, involving the shuffle or quasishuffle Hopf algebras, thanks
Externí odkaz:
http://arxiv.org/abs/1212.4740
Publikováno v:
In Journal of Algebra 1 November 2017 489:552-581
We describe the resurgence properties of some partition functions corresponding to Field theories in dimension 0. We show that these functions satisfy linear differential equations with polynomial coefficients and then use elementary stability result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::84f9dff66793adf6b8f57a7cd5bb2db3
https://hal.archives-ouvertes.fr/hal-02371410
https://hal.archives-ouvertes.fr/hal-02371410
Akademický článek
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Publikováno v:
Studies in Applied Mathematics
Studies in Applied Mathematics, Wiley-Blackwell, 2017, 138 (1), pp.3-42. ⟨10.1111/sapm.12134⟩
Studies in Applied Mathematics, 2017, 138 (1), pp.3-42. ⟨10.1111/sapm.12134⟩
Studies in Applied Mathematics, Wiley-Blackwell, 2017, 138 (1), pp.3-42. ⟨10.1111/sapm.12134⟩
Studies in Applied Mathematics, 2017, 138 (1), pp.3-42. ⟨10.1111/sapm.12134⟩
International audience; In this paper, we give new characterizations for the eigenvalues of the prolate wave equation as limits of the zeros of some families of polynomials: the coefficients of the formal power series appearing in the solutions near
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c61f21d929e4a4d68b4c449840427950
https://hal.archives-ouvertes.fr/hal-01151663/document
https://hal.archives-ouvertes.fr/hal-01151663/document