Random walks on decorated Galton-Watson trees

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Cites Work

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Invariance principles for Galton-Watson trees conditioned on the number of leaves
Percolation on random triangulations and stable looptrees
Random walks and the effective resistance of networks
Asymptotic fringe distributions for general families of random trees
Heat kernel estimates for strongly recurrent random walk on random media
Random trees and applications
An elementary proof of Hawkes's conjecture on Galton-Watson trees.
Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive
Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
Subdiffusive behavior of random walk on a random cluster
Brownian excursions, critical random graphs and the multiplicative coalescent
A limit theorem for the contour process of conditioned Galton-Watson trees
Limits of the boundary of random planar maps
Scaling limits of stochastic processes associated with resistance forms
Uniform infinite half-planar quadrangulations with skewness
Most trees are short and fat
Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees
The incipient infinite cluster of the uniform infinite half-planar triangulation
Brownian motion on stable looptrees
The stable graph: the metric space scaling limit of a critical random graph with i.i.d. power-law degrees
Scaling limits of discrete snakes with stable branching
Infinite stable looptrees
The boundary of random planar maps via looptrees
Notes on random walks in the Cauchy domain of attraction
Random walk on random infinite looptrees
Sub-exponential tail bounds for conditioned stable Bienaymé-Galton-Watson trees
The continuum random tree. III
Critical exponents on Fortuin-Kasteleyn weighted planar maps
Random stable laminations of the disk
Random stable looptrees
Probability on Trees and Networks
The CRT is the scaling limit of random dissections
Scaling Limits of Random Trees and Random Graphs
A Boltzmann Approach to Percolation on Random Triangulations
Tauberian Theory
The Diameter of Sparse Random Graphs
A branching process with mean one and possibly infinite variance
Probability
Stable graphs: distributions and line-breaking construction

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