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Showing 2004 · math.PRShow all
3 papers · 2 filters
math.PR2004
On diffusivity of a tagged particle in asymmetric zero-range dynamics
Sunder Sethuraman
Consider a tagged particle in zero-range dynamics on the integer lattice in dimension d with rate g whose finite-range jump probabilities p possess a drift. We show, in equilibrium…
math.PR2004
A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
Sunder Sethuraman, S. R. S. Varadhan
In 1956, Dobrushin proved a definitive central limit theorem for non-homogeneous Markov chains. In this note, a shorter and different proof elucidating more the assumptions is give…
math.PR2004★ 24 cited
Large deviations for a class of nonhomogeneous Markov chains
Zach Dietz, Sunder Sethuraman
Large deviation results are given for a class of perturbed nonhomogeneous Markov chains on finite state space which formally includes some stochastic optimization algorithms. Speci…