Geodesics in the Brownian map: Strong confluence and geometric structure

Type: Preprint

Publication Date: 2020-01-01

Citations: 7

DOI: https://doi.org/10.48550/arxiv.2008.02242

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Citing (48)

Action Title Year Authors
+ Quantum Geometry: A Statistical Field Theory Approach 1997 J. AmbjĂžrn
Bergfinnur Durhuus
ThĂłrdur JĂłnsson
+ An axiomatic characterization of the Brownian map 2015 Jason Miller
Scott Sheffield⋆
+ PDF Chat The hull process of the Brownian plane 2015 Nicolas Curien
Jean‐François Le Gall
+ PDF Chat Geodesics in large planar maps and in the Brownian map 2010 J. F. Le Gall
+ PDF Chat The Limit of a Sequence of Branching Processes 1967 John Lamperti
+ PDF Chat Planar Maps are Well Labeled Trees 1981 Robert Cori
Bernard Vauquelin
+ PDF Chat Continuous state branching processes 1967 John Lamperti
+ PDF Chat Construction of non-critical string field theory by transfer matrix formalism in dynamical triangulation 1995 Y. Watabiki
+ PDF Chat Scaling Limits of Bipartite Planar Maps are Homeomorphic to the 2-Sphere 2008 Jean‐François Le Gall
Frédéric Paulin
+ PDF Chat The topological structure of scaling limits of large planar maps 2007 Jean‐François Le Gall
+ PDF Chat Brownian Excursions, Trees and Measure-Valued Branching Processes 1991 Jean‐François Le Gall
+ PDF Chat Growth and percolation on the uniform infinite planar triangulation 2003 Omer Angel
+ Uniqueness and universality of the Brownian map 2013 Jean‐François Le Gall
+ PDF Chat On the sphericity of scaling limits of random planar quadrangulations 2008 Grégory Miermont
+ PDF Chat Conditioned Brownian trees 2006 J LEGALL
Mathilde Weill
+ The Brownian Plane 2013 Nicolas Curien
Jean‐François Le Gall
+ PDF Chat The Continuum Random Tree. I 1991 David Aldous
+ The Brownian map is the scaling limit of uniform random plane quadrangulations 2013 Grégory Miermont
+ Random geometry on the sphere 2014 Jean‐François Le Gall
+ PDF Chat The scaling limit of uniform random plane maps, via the AmbjĂžrn–Budd bijection 2014 JĂ©rĂ©mie Bettinelli
Emmanuel Jacob
Grégory Miermont
+ Compact Brownian surfaces I: Brownian disks 2017 Jérémie Bettinelli
Grégory Miermont
+ PDF Chat Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding 2021 Jason Miller
Scott Sheffield⋆
+ Excursion normalisée, méandre et pont pour les processus de Lévy stables 1997 L. Chaumont
+ Stability of geodesics in the Brownian map 2017 Omer Angel
Brett Kolesnik
Grégory Miermont
+ PDF Chat Random planar lattices and integrated superBrownian excursion 2003 Philippe Chassaing
Gilles Schaeffer
+ PDF Chat Stochastic branching processes with continuous state space 1958 Miloslav Jiƙina
+ Convergence of odd-angulations via symmetrization of labeled trees 2019 Louigi Addario‐Berry
Marie Albenque
+ Tightness of Liouville first passage percolation for $Îł\in (0,2)$ 2019 Jian Ding
Julien Dubédat
Alexander Dunlap
Hugo Falconet
+ Existence and uniqueness of the Liouville quantum gravity metric for $\gamma \in (0,2)$ 2019 Ewain Gwynne
Jason Miller
+ PDF Chat Random planar maps and growth-fragmentations 2018 Jean Bertoin
Nicolas Curien
Igor Kortchemski
+ PDF Chat Scaling limits for the peeling process on random maps 2017 Nicolas Curien
Jean‐François Le Gall
+ Rescaled bipartite planar maps converge to the Brownian map 2016 CĂ©line Abraham
+ PDF Chat Brownian disks and the Brownian snake 2019 Jean‐François Le Gall
+ Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology 2017 Ewain Gwynne
Jason Miller
+ PDF Chat Martingales in self-similar growth-fragmentations and their connections with random planar maps 2017 Jean Bertoin
Timothy Budd
Nicolas Curien
Igor Kortchemski
+ PDF Chat Geometry of the uniform infinite half‐planar quadrangulation 2017 Alessandra Caraceni
Nicolas Curien
+ The scaling limit of random simple triangulations and random simple quadrangulations 2017 Louigi Addario‐Berry
Marie Albenque
+ Geodesic rays in the uniform infinite half-planar quadrangulation return to the boundary 2016 Erich Baur
Grégory Miermont
LoĂŻc Richier
+ The Brownian disk viewed from a boundary point 2022 Jean‐François Le Gall
+ Spine representations for non-compact models of random geometry 2020 Jean‐François Le Gall
Armand Riera