New Interactions of Combinatorics through Topological Expansions, at the crossroads of Probability, Graph theory, and Mathematical Physics

Publications

Peer reviewed articles (16)

Counting chains in the noncrossing partition lattice via the W-Laplacian

Author(s): Guillaume Chapuy; Theo Douvropoulos
Published in: Crossref, 00218693, 2022, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2022.02.023

Local limits of uniform triangulations in high genus

Author(s): Thomas Budzinski, Baptiste Louf
Published in: Inventiones mathematicae, 00209910, 2021, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-020-00986-3

On the Number of Coloured Triangulations of d-Manifolds

Author(s): Guillaume Chapuy; Guillem Perarnau
Published in: Discrete and Computational Geometry, 01795376, 2021, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.48550/arxiv.1807.01022

Spectral radius of random matrices with independent entries

Author(s): Nicolas Curien; Cyril Marzouk
Published in: EISSN: 2690-1005, 26900998, 2021, ISSN 2690-0998
Publisher: MSP
DOI: 10.2140/pmp.2021.2.1

On scaling limits of random trees and maps with a prescribed degree sequence

Author(s): Cyril Marzouk
Published in: Crossref, 26449463, 2022, ISSN 2644-9463
Publisher: Univ. Rennes 1, ENS Rennes, Ann. H. Lebesgue
DOI: 10.48550/arxiv.1903.06138

Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees

Author(s): Baptiste Louf
Published in: Can.J.Math., 0008414X, 2021, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008414x19000555

Non-orientable branched coverings, b-Hurwitz numbers, and positivity for multiparametric Jack expansions

Author(s): Guillaume Chapuy, Maciej Dołęga
Published in: Advances in Mathematics, 00018708, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108645

Markovian explorations of random planar maps are roundish

Author(s): Nicolas Curien; Cyril Marzouk
Published in: Bulletin de la société mathématique de France, 00379484, 2020, ISSN 0037-9484
Publisher: Societe Mathematique de France
DOI: 10.24033/bsmf.2821

Weighted Hurwitz Numbers and Topological Recursion

Author(s): Alexander Alexandrov; G. Chapuy; Bertrand Eynard; Bertrand Eynard; John Harnad; John Harnad
Published in: Communication in Mathematical Physics, 00103616, 2020, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03717-0

Fermionic Approach to Weighted Hurwitz Numbers and Topological Recursion

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Communications in Mathematical Physics, 360/2, 2018, Page(s) 777-826, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-017-3065-9

A new family of bijections for planar maps

Author(s): Baptiste Louf
Published in: Journal of Combinatorial Theory, Series A, 168, 2019, Page(s) 374-395, ISSN 0097-3165
Publisher: Academic Press
DOI: 10.1016/j.jcta.2019.06.006

On tessellations of random maps and the $$t_g$$ t g -recurrence

Author(s): Guillaume Chapuy
Published in: Probability Theory and Related Fields, 174/1-2, 2019, Page(s) 477-500, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-018-0865-6

Weighted Hurwitz numbers and topological recursion: An overview

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Journal of Mathematical Physics, 59/8, 2018, Page(s) 081102, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5013201

$b$-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O(N)$-BGW integral

Author(s): Valentin Bonzom; Guillaume Chapuy; Maciej Dołęga
Published in: https://hal.archives-ouvertes.fr/hal-03346788, 10737928, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac177

A curious identity that implies Faber's conjecture

Author(s): Elba Garcia‐Failde; Don Zagier
Published in: Crossref, 00246093, 2021, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12659

Coxeter factorizations with generalized Jucys–Murphy weights and Matrix-Tree theorems for reflection groups

Author(s): Guillaume Chapuy, Theo Douvropoulos
Published in: Proceedings of the London Mathematical Society, 00246115, 2022, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12490

Other (5)

Multicritical random partitions

Author(s): Dan Betea, Jérémie Bouttier, Harriet Walsh
Published in: 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2012.01995

Short Synchronizing Words for Random Automata

Author(s): Guillaume Chapuy, Guillem Perarnau
Published in: 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2207.14108

Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces

Author(s): Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier, Elba Garcia-Failde
Published in: 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2206.14768

Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps

Author(s): Guillaume Chapuy, Baptiste Louf, Harriet Walsh
Published in: 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2206.11315

Enumeration of non-oriented maps via integrability

Author(s): Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
Published in: 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2110.12834

Conference proceedings (1)

Cyclic sieving for reduced reflection factorizations of the Coxeter element

Author(s): Douvropoulos, Theo
Published in: Sém. Lothar. Combin. 80B (2018), Art. 86, 12 pp., 2018
Publisher: Univ. Wien