49 citations · 53 across the 2 of their papers we have counts for
4 papers · 1 filter
On the Cluster Size Distribution for Percolation on Some General Graphs
Antar Bandyopadhyay, Jeffrey Steif, Adam Timar
We show that for any Cayley graph, the probability (at any ) that the cluster of the origin has size n decays at a well-defined exponential rate (possibly 0). For general graphs…
Random Walk in Dynamic Markovian Random Environment
Antar Bandyopadhyay, Ofer Zeitouni
We consider a model, introduced by Boldrighini, Minlos and Pellegrinotti, of random walks in dynamical random environments on the integer lattice Z^d with d>=1. In this model, the…
Bivariate Uniqueness and Endogeny for Recursive Distributional Equations : Two Examples
Antar Bandyopadhyay
This paper has been withdrawn by the author because of finding a flaw in the proof of endogeny for the Frozen Percolation RDE which was one of two examples discussed in this paper.…
How to Combine Fast Heuristic Markov Chain Monte Carlo with Slow Exact Sampling
David J. Aldous, Antar Bandyopadhyay
Use each of n exact samples as the initial state for a MCMC sampler run for m steps. We give confidence intervals for accuracy of estimators which are always valid and which, in ce…