Ergodic Theory on Stationary Random Graphs

Théorème de Choquet-Deny pour les groupes à croissance non exponentielle

A. Avez · 1974

Earlier work this paper cites.

Ergodic equivalence relations, cohomology, and von Neumann algebras. I

J. Feldman and C. C. Moore · 1977

Earlier work this paper cites.

Quelques applications du théorème ergodique sous-additif

Y. Derriennic · 1980

Earlier work this paper cites.

Sur la loi des grands nombres et le rayon spectral d’une marche aléatoire

Y. Guivarc’h · 1980

Earlier work this paper cites.

Random walks on discrete groups: boundary and entropy

V. A. Kaimanovich and A. M. Vershik · 1983

Earlier work this paper cites.

Subdiffusive behavior of random walk on a random cluster

H. Kesten · 1986

Earlier work this paper cites.

Brownian motion on foliations: entropy, invariant measures, mixing

V. A. Kaĭmanovich · 1988

Earlier work this paper cites.

Boundary and entropy of random walks in random environment

V. A. Kaimanovich · 1990

Earlier work this paper cites.

Amenability, unimodularity, and the spectral radius of random walks on infinite graphs

Original

P. M. Soardi and W. Woess · 1990

Earlier work this paper cites.

Ergodic theory on Galton-Watson trees: speed of random walk and dimension of harmonic measure

R. Lyons, R. Pemantle, and Y. Peres · 1995

Earlier work this paper cites.

Harmonic functions on planar and almost planar graphs and manifolds, via circle packings

I. Benjamini and O. Schramm · 1996

Earlier work this paper cites.

Infinite clusters in dependent automorphism invariant percolation on trees

O. Häggström · 1997

Cited alongside, same era.

Hausdorff dimension of the harmonic measure on trees

V. A. Kaimanovich · 1998

Cited alongside, same era.

Group-invariant percolation on graphs

I. Benjamini, R. Lyons, Y. Peres, and O. Schramm · 1999

Cited alongside, same era.

Propriétés asymptotiques des relations d’équivalences mesurées discrètes

F. Paulin · 1999

Cited alongside, same era.

Recurrence of distributional limits of finite planar graphs

I. Benjamini and O. Schramm · 2001

Cited alongside, same era.

Transience, recurrence and critical behavior for long-range percolation

N. Berger · 2002

Cited alongside, same era.

Invariant percolation and harmonic Dirichlet functions

D. Gaboriau · 2005

Later among the works it cites.

Local limit of labeled trees and expected volume growth in a random quadrangulation

P. Chassaing and B. Durhuus · 2006

Later among the works it cites.

Processes on unimodular random networks

D. Aldous and R. Lyons · 2007

Later among the works it cites.

Stochastic homogenization of horospheric tree products

V. A. Kaimanovich and F. Sobieczky · 2010

Closest in time.

Scaling limits for the uniform infinite planar quadrangulation

J.-F. Le Gall and L. Ménard · 2010

Closest in time.

The two uniform infinite quadrangulations of the plane have the same law

L. Ménard · 2010

Closest in time.