Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Charbonnier, Séverin"'
We study the correlators $W_{g,n}$ arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight $G(z)$, at arbitrary values of the two sets of time parameters. Combinatorially, they correspond to generating functions of weighted Hurw
Externí odkaz:
http://arxiv.org/abs/2206.14768
Publikováno v:
Trans. Amer. Math. Soc. 377 (2024), 1069-1110
The Witten $r$-spin class defines a non-semisimple cohomological field theory. Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two semisimple directions of the associated Dubrovin--Frobenius manifold using the
Externí odkaz:
http://arxiv.org/abs/2203.16523
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen years ago by Collins, Mingo, \'Sniady and Speicher. We propose an exten
Externí odkaz:
http://arxiv.org/abs/2112.12184
Autor:
Borot, Gaëtan, Charbonnier, Séverin, Delecroix, Vincent, Giacchetto, Alessandro, Wheeler, Campbell
Publikováno v:
Int. Math. Res. Not. (2022)
The volume $\mathscr{B}_{\Sigma}^{{\rm comb}}(\mathbb{G})$ of the unit ball -- with respect to the combinatorial length function $\ell_{\mathbb{G}}$ -- of the space of measured foliations on a stable bordered surface $\Sigma$ appears as the prefactor
Externí odkaz:
http://arxiv.org/abs/2110.12538
Publikováno v:
Comb. Th. 4 2 (2024)
Ordinary maps satisfy topological recursion for a certain spectral curve $(x, y)$. We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps with non self-intersecting disjoint boundaries, satisfy topological recu
Externí odkaz:
http://arxiv.org/abs/2106.09002
Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial models of moduli spaces of complex curves with boundaries in his proof of Witten's conjecture. In this work, we define four types of generalised Kontsevich graphs an
Externí odkaz:
http://arxiv.org/abs/2105.08035
Autor:
Andersen, Jørgen Ellegaard, Borot, Gaëtan, Charbonnier, Séverin, Giacchetto, Alessandro, Lewański, Danilo, Wheeler, Campbell
For bordered surfaces S, we develop a complete parallel between the geometry of the combinatorial Teichm\"uller space $T_S^{comb}$ equipped with Kontsevich symplectic form $\omega_K$, and then the usual Weil-Petersson geometry of Teichm\"uller space
Externí odkaz:
http://arxiv.org/abs/2010.11806
Autor:
Charbonnier, Séverin
Cette thèse explore divers aspects des cartes aléatoires par l'étude de trois modèles. Dans un premier temps, nous examinons les propriétés d’une mesure définie sur l’ensemble des triangulations de Delaunay planaires comportant n sommets,
Externí odkaz:
http://www.theses.fr/2018SACLS265/document
Autor:
Andersen, Jørgen Ellegaard, Borot, Gaëtan, Charbonnier, Séverin, Delecroix, Vincent, Giacchetto, Alessandro, Lewanski, Danilo, Wheeler, Campbell
Publikováno v:
J. London Math. Soc. 107 1 254-332 (2023)
We study the Masur-Veech volumes $MV_{g,n}$ of the principal stratum of the moduli space of quadratic differentials of unit area on curves of genus $g$ with $n$ punctures. We show that the volumes $MV_{g,n}$ are the constant terms of a family of poly
Externí odkaz:
http://arxiv.org/abs/1905.10352
Publikováno v:
Elect. J. Comb. 26 3 (2019), 3-43
A direct relation between the enumeration of ordinary maps and that of fully simple maps first appeared in the work of the first and last authors. The relation is via monotone Hurwitz numbers and was originally proved using Weingarten calculus for ma
Externí odkaz:
http://arxiv.org/abs/1904.02267