Brownian geometry: at the interface between probability theory, combinatorics and mathematical physics.

Publicaciones

A combinatorial proof of Aldous-Broder theorem for general Markov chains

Autores: Luis Fredes, Jean-François Marckert
Publicado en: Random Structures and Algorithms, Edición 62, 2022, Página(s) 430-449, ISSN 1098-2418
Editor: Wiley
DOI: 10.1002/rsa.21101

The phase transition for parking on Galton-Watson trees

Autores: Nicolas Curien, Olivier Hénard
Publicado en: Discrete Analysis, Edición 1, 2022, ISSN 2397-3129
Editor: Alliance of Diamond Open Access Journals
DOI: 10.19086/da.33167

The mesoscopic geometry of sparse random maps

Autores: Nicolas Curien, Igor Kortchemski, Cyril Marzouk
Publicado en: Journal de l'Ecole Polytechnique, Edición 9, 2022, Página(s) 1305-1345, ISSN 2429-7100
Editor: Editions de l'Ecole Polytechnique
DOI: 10.5802/jep.207

Markovian explorations of random planar maps are roundish

Autores: Nicolas Curien, Cyril Marzouk
Publicado en: Bulletin de la Société mathématique de France, Edición 148/4, 2020, Página(s) 709-732, ISSN 0037-9484
Editor: Societe Mathematique de France
DOI: 10.24033/bsmf.2821

The Markov property of local times of Brownian motion indexed by the Brownian tree

Autores: Jean-François Le Gall
Publicado en: The Annals of Probability, 2024, ISSN 0091-1798
Editor: Institute of Mathematical Statistics

Iterated Brownian motion ad libitum is not the pseudo-arc

Autores: Jérôme Casse, Nicolas Curien
Publicado en: Confluentes Mathematici, Edición 13, 2021, Página(s) 35-42, ISSN 1793-7442
Editor: Centre Mersenne
DOI: 10.5802/cml.70

First-passage percolation and local modifications of distances in random triangulations

Autores: Nicolas Curien, Jean-François Le Gall
Publicado en: Annales Scientifiques de l'Ecole Normale Supérieure, Edición 52, 2019, Página(s) 631-701, ISSN 0012-9593
Editor: Elsevier BV
DOI: 10.24033/asens.2394

Local limits of uniform triangulations in high genus

Autores: Thomas Budzinski, Baptiste Louf
Publicado en: Inventiones mathematicae, Edición 223/1, 2021, Página(s) 1-47, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-020-00986-3

Isoperimetric inequalities in the Brownian plane

Autores: Riera, Armand
Publicado en: The Annals of Probability, 2023, ISSN 0091-1798
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-aop1576

Enumeration of Planar Constellations with an Alternating Boundary

Autores: Jérémie Bouttier, Ariane Carrance
Publicado en: The Electronic Journal of Combinatorics, Edición 28/3, 2021, ISSN 1077-8926
Editor: Electronic Journal of Combinatorics
DOI: 10.37236/10149

Recurrence of the uniform infinite half-plane map via duality of resistances

Autores: Budzinski, Thomas; Leh��ricy, Thomas
Publicado en: The Annals of Probability, Edición 50, 2022, Página(s) 1725-1754, ISSN 0091-1798
Editor: Institute of Mathematical Statistics
DOI: 10.1214/21-aop1539

Brownian disks and the Brownian snake

Autores: Jean-François Le Gall
Publicado en: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Edición 55/1, 2019, Página(s) 237-313, ISSN 0246-0203
Editor: Elsevier BV
DOI: 10.1214/18-aihp882

Subordination of trees and the Brownian map

Autores: Jean-François Le Gall
Publicado en: Probability Theory and Related Fields, Edición 171/3-4, 2018, Página(s) 819-864, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-017-0794-9

Brownian geometry

Autores: Jean-François Le Gall
Publicado en: Japanese Journal of Mathematics, Edición 14/2, 2019, Página(s) 135-174, ISSN 0289-2316
Editor: Kinokuniya Co., Ltd.
DOI: 10.1007/s11537-019-1821-7

Separating cycles and isoperimetric inequalities in the uniform infinite planar quadrangulation

Autores: Jean-François Le Gall, Thomas Lehéricy
Publicado en: The Annals of Probability, Edición 47/3, 2019, Página(s) 1498-1540, ISSN 0091-1798
Editor: Institute of Mathematical Statistics
DOI: 10.1214/18-aop1289

Some explicit distributions for Brownian motion indexed by the Brownian tree

Autores: Jean-François Le Gall, Armand Riera
Publicado en: Markov Processes and Related Fields, 2020, ISSN 1024-2953
Editor: Polymat

Growth-fragmentation processes in Brownian motion indexed by the Brownian tree

Autores: Jean-François Le Gall, Armand Riera
Publicado en: The Annals of Probability, 2020, ISSN 0091-1798
Editor: Institute of Mathematical Statistics

Universality for Random Surfaces in Unconstrained Genus

Autores: Thomas Budzinski, Nicolas Curien, Bram Petri
Publicado en: The Electronic Journal of Combinatorics, Edición 26/4, 2019, ISSN 1077-8926
Editor: Electronic Journal of Combinatorics
DOI: 10.37236/8623

Supercritical causal maps: geodesics and simple random walk

Autores: Thomas Budzinski
Publicado en: Electronic Journal of Probability, Edición 24/0, 2019, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/19-EJP341

Strict monotonicity of percolation thresholds under covering maps

Autores: Sébastien Martineau, Franco Severo
Publicado en: The Annals of Probability, 2020, ISSN 0091-1798
Editor: Institute of Mathematical Statistics

Geometric and spectral properties of causal maps

Autores: Nicolas Curien, Tom Hutchcroft, Asaf Nachmias
Publicado en: Journal of the European Mathematical Society, 2020, ISSN 1435-9855
Editor: European Mathematical Society Publishing House

How fast planar maps get swallowed by a peeling process

Autores: Nicolas Curien, Cyril Marzouk
Publicado en: Electronic Communications in Probability, Edición 23, 2018, ISSN 1083-589X
Editor: Institute of Mathematical Statistics
DOI: 10.1214/18-ecp123

Duality of random planar maps via percolation

Autores: Nicolas Curien, Loïc Richier
Publicado en: Annales de l'Institut Fourier, 2020, ISSN 1777-5310
Editor: Centre Mersenne

The skeleton of the UIPT, seen from infinity

Autores: Nicolas Curien, Laurent Ménard
Publicado en: Annales Henri Lebesgue, Edición 1, 2018, Página(s) 87-125, ISSN 2644-9463
Editor: Centre Mersenne
DOI: 10.5802/ahl.3

Spine representations for non-compact models of random geometry

Autores: Jean-François Le Gall, Armand Riera
Publicado en: Probability Theory and Related Fields, Edición 181/1-3, 2021, Página(s) 571-645, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-021-01069-x

Convergence of Eulerian triangulations

Autores: Ariane Carrance
Publicado en: Electronic Journal of Probability, Edición 26/none, 2021, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp579

On the minimal diameter of closed hyperbolic surfaces

Autores: Thomas Budzinski, Nicolas Curien, Bram Petri
Publicado en: Duke Mathematical Journal, Edición 170/2, 2021, ISSN 0012-7094
Editor: Duke University Press
DOI: 10.1215/00127094-2020-0083

The volume measure of the Brownian sphere is a Hausdorff measure

Autores: Jean-François Le Gall
Publicado en: Electronic Journal of Probability, Edición 27, 2022, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp837

Stable shredded spheres and causal random maps with large faces

Autores: Jakob Björnberg, Nicolas Curien, Sigurdur Orn Stefansson
Publicado en: The Annals of Probability, Edición 50, 2022, Página(s) 2056-2084, ISSN 0091-1798
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-aop1579

First-passage percolation in random planar map and Tutte's bijection

Autores: Thomas Lehéricy
Publicado en: Electronic Journal of Probability, Edición 27, 2022, Página(s) 1-50, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp662

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