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

Counting chains in the noncrossing partition lattice via the W-Laplacian (opens in new window)

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

Local limits of uniform triangulations in high genus (opens in new window)

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

On the Number of Coloured Triangulations of d-Manifolds (opens in new window)

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

Spectral radius of random matrices with independent entries (opens in new window)

Author(s): Nicolas Curien; Cyril Marzouk
Published in: EISSN: 2690-1005, Issue 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 (opens in new window)

Author(s): Cyril Marzouk
Published in: Crossref, Issue 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 (opens in new window)

Author(s): Baptiste Louf
Published in: Can.J.Math., Issue 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 (opens in new window)

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

Markovian explorations of random planar maps are roundish (opens in new window)

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

Weighted Hurwitz Numbers and Topological Recursion (opens in new window)

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

Fermionic Approach to Weighted Hurwitz Numbers and Topological Recursion (opens in new window)

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Communications in Mathematical Physics, Issue 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 (opens in new window)

Author(s): Baptiste Louf
Published in: Journal of Combinatorial Theory, Series A, Issue 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 (opens in new window)

Author(s): Guillaume Chapuy
Published in: Probability Theory and Related Fields, Issue 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 (opens in new window)

Author(s): A. Alexandrov, G. Chapuy, B. Eynard, J. Harnad
Published in: Journal of Mathematical Physics, Issue 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 (opens in new window)

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

A curious identity that implies Faber's conjecture (opens in new window)

Author(s): Elba Garcia‐Failde; Don Zagier
Published in: Crossref, Issue 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 (opens in new window)

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

Multicritical random partitions (opens in new window)

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 (opens in new window)

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 (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

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