[图书][B] Random trees: an interplay between combinatorics and probability
M Drmota - 2009 - books.google.com
Page 1 Michael Drmota Random Trees An Interplay between Combinatorics and Probability
SpringerWien NewYork Page 2 SpringerWien NewYork Page 3 Michael Drmota Random Trees …
SpringerWien NewYork Page 2 SpringerWien NewYork Page 3 Michael Drmota Random Trees …
Uniqueness and universality of the Brownian map
JF Le Gall - 2013 - projecteuclid.org
We consider a random planar map M_n which is uniformly distributed over the class of all
rooted q-angulations with n faces. We let m_n be the vertex set of M_n, which is equipped …
rooted q-angulations with n faces. We let m_n be the vertex set of M_n, which is equipped …
Random planar lattices and integrated superBrownian excursion
P Chassaing, G Schaeffer - Probability Theory and Related Fields, 2004 - Springer
In this paper, a surprising connection is described between a specific brand of random
lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion …
lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion …
Scaling limits of random trees and planar maps
JF Le Gall, G Miermont - … and statistical physics in two and …, 2012 - books.google.com
The main goal of these lectures is to present some of the recent progress in the asymptotics
for large random planar maps. Recall that a planar map is simply a graph drawn on the two …
for large random planar maps. Recall that a planar map is simply a graph drawn on the two …
Random real trees
JF Le Gall - Annales de la Faculté des sciences de Toulouse …, 2006 - numdam.org
We survey recent developments about random real trees, whose prototype is the Continuum
Random Tree (CRT) introduced by Aldous in 1991. We briefly explain the formalism of real …
Random Tree (CRT) introduced by Aldous in 1991. We briefly explain the formalism of real …
The hull process of the Brownian plane
N Curien, JF Le Gall - Probability Theory and Related Fields, 2016 - Springer
We study the random metric space called the Brownian plane, which is closely related to the
Brownian map and is conjectured to be the universal scaling limit of many discrete random …
Brownian map and is conjectured to be the universal scaling limit of many discrete random …
[PDF][PDF] Aspects of random maps
G Miermont - Saint-Flour lecture notes, 2014 - perso.ens-lyon.fr
R (M)/Diff+(M) D [g] exp (− S (g)),(1) where R (M) is the space of Riemannian metrics on the
2-dimensional differentiable manifold M, Diff+(M) is the set of diffeomorphisms of M acting on …
2-dimensional differentiable manifold M, Diff+(M) is the set of diffeomorphisms of M acting on …
Conditioned brownian trees
JF Le Gall, M Weill - Annales de l'Institut Henri Poincare (B) Probability and …, 2006 - Elsevier
We consider a Brownian tree consisting of a collection of one-dimensional Brownian paths
started from the origin, whose genealogical structure is given by the Continuum Random …
started from the origin, whose genealogical structure is given by the Continuum Random …
Limit laws for embedded trees: applications to the integrated superBrownian excursion
M Bousquet‐Mélou - Random Structures & Algorithms, 2006 - Wiley Online Library
We study three families of labeled plane trees. In all these trees, the root is labeled 0 and the
labels of two adjacent nodes differ by 0, 1, or− 1. One part of the paper is devoted to …
labels of two adjacent nodes differ by 0, 1, or− 1. One part of the paper is devoted to …
Note on the density of ISE and a related diffusion
G Chapuy, JF Marckert - arXiv preprint arXiv:2210.10159, 2022 - arxiv.org
The integrated super-Brownian excursion (ISE) is the occupation measure of the spatial
component of the head of the Brownian snake with lifetime process the normalized …
component of the head of the Brownian snake with lifetime process the normalized …