24 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes
Timo Seppalainen, Sunder Sethuraman
Consider a one-dimensional exclusion process with finite-range translation-invariant jump rates with non-zero drift. Let the process be stationary with product Bernoulli invariant…