26 citations · 43 across the 6 of their papers we have counts for
5 papers · 1 filter
Atypical behaviors of a tagged particle in asymmetric simple exclusion
Sunder Sethuraman, S. R. S. Varadhan
Consider the asymmetric nearest-neighbor exclusion process (ASEP) on with single particle drift , starting from a Bernoulli product invariant measure with…
Identification of the Polaron measure in strong coupling and the Pekar variational formula
Chiranjib Mukherjee, S. R. S. Varadhan
The path measure corresponding to the Fröhlich Polaron appearing in quantum statistical mechanics is defined as the tilted measure $$ \widehat{\mathbb P}_{\varepsilon,T}= \frac{1}{…
Tails of Polynomials of Random Variables and Stable Limits for Nonconventional Sums
Yuri Kifer, S. R. S. Varadhan
We obtain decay rates of probabilities of tails of polynomials in several independent random variables with heavy tails and derive stable limit theorems for nonconventional sums of…
Tails of polynomials of random variables and stable limits for nonconventional sums
Yuri Kifer, S. R. S. Varadhan
We obtain first decay rates of probabilities of tails of multivariate polynomials built on independent random variables with heavy tails. Then we derive stable limit theorems for n…
Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
Sunder Sethuraman, S. R. S. Varadhan
Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric n…