24 citations · 24 across the 4 of their papers we have counts for
4 papers
Superdiffusivity of occupation-time variance in 2-dimensional asymmetric processes with density 1/2
Sunder Sethuraman
We compute that the growth of the origin occupation-time variance up to time t in dimension d=2 with respect to asymmetric simple exclusion in equilibrium with density 1/2 is in a…
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…
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…
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…