Diffusive estimates for random walks on stationary random graphs of polynomial growth

[1]  Y. Peres,et al.  Probability on Trees and Networks , 2017 .

[2]  V. Climenhaga Markov chains and mixing times , 2013 .

[3]  Jian Ding,et al.  Markov type and threshold embeddings , 2012, 1208.6088.

[4]  Gady Kozma,et al.  Disorder, entropy and harmonic functions , 2011, 1111.4853.

[5]  Nicolas Curien,et al.  Ergodic theory on stationary random graphs , 2010, 1011.2526.

[6]  Terence Tao,et al.  A Finitary Version of Gromov’s Polynomial Growth Theorem , 2009, 0910.4148.

[7]  Bruce Kleiner,et al.  A new proof of Gromov's theorem on groups of polynomial growth , 2007, 0710.4593.

[8]  D. Aldous,et al.  Processes on Unimodular Random Networks , 2006, math/0603062.

[9]  Y. Peres,et al.  Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces , 2004, math/0410422.

[10]  Robert Krauthgamer,et al.  Measured descent: a new embedding method for finite metrics , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.

[11]  Yuval Rabani,et al.  Approximation algorithms for the 0-extension problem , 2001, SODA '01.

[12]  I. Benjamini,et al.  Recurrence of Distributional Limits of Finite Planar Graphs , 2000, math/0011019.

[13]  W. Woess Random walks on infinite graphs and groups, by Wolfgang Woess, Cambridge Tracts , 2001 .

[14]  Brian H. Bowditch,et al.  A short proof that a subquadratic isoperimetric inequality implies a linear one. , 1995 .

[15]  I. Pinelis OPTIMUM BOUNDS FOR THE DISTRIBUTIONS OF MARTINGALES IN BANACH SPACES , 1994, 1208.2200.

[16]  Terry Lyons,et al.  Decomposition of Dirichlet Processes and its Application , 1994 .

[17]  Laurent Saloff-Coste,et al.  GAUSSIAN ESTIMATES FOR MARKOV CHAINS AND RANDOM WALKS ON GROUPS , 1993 .

[18]  Keith Ball,et al.  Markov chains, Riesz transforms and Lipschitz maps , 1992 .

[19]  E. Perkins,et al.  Symmetric Markov chains in ℤd: How fast can they move? , 1989 .

[20]  H. Kesten Subdiffusive behavior of random walk on a random cluster , 1986 .

[21]  N. Varopoulos,et al.  Long range estimates for markov chains , 1985 .

[22]  T. K. Carne,et al.  A transmutation formula for Markov chains , 1985 .

[23]  J. Moon Random walks on random trees , 1973, Journal of the Australian Mathematical Society.

[24]  Harry Kesten,et al.  Symmetric random walks on groups , 1959 .