24 citations · 24 across the 3 of their papers we have counts for
6 papers
Effective Mass of the Fröhlich Polaron and the Landau-Pekar-Spohn Conjecture
Rodrigo Bazaes, Chiranjib Mukherjee, Mark Sellke +1
We prove that there is a constant such that the effective mass of the Fröhlich Polaron satisfies , which is sharp acco…
Brownian Occupation Measures, Compactness and Large Deviations
Chiranjib Mukherjee, S. R. S. Varadhan
In proving large deviation estimates, the lower bound for open sets and upper bound for compact sets are essentially local estimates. On the other hand, the upper bound for closed…
Large Deviations for Random Matrices
Sourav Chatterjee, S. R. S. Varadhan
We prove a large deviation result for a random symmetric n x n matrix with independent identically distributed entries to have a few eigenvalues of size n. If the spectrum S surviv…
Nonconventional limit theorems in discrete and continuous time via martingales
Yuri Kifer, S. R. S. Varadhan
We obtain functional central limit theorems for both discrete time expressions of the form and similar ex…
The large deviation principle for the Erdős-Rényi random graph
Sourav Chatterjee, S. R. S. Varadhan
What does an Erdos-Renyi graph look like when a rare event happens? This paper answers this question when p is fixed and n tends to infinity by establishing a large deviation princ…
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…