4 papers
Conditioned free-energy density of proteins using unbalanced solutions to constraint satisfaction problems
Pratik Worah, Subhash Khot, Srinivasa Varadhan
We show that computing the log-partition function (free-energy) of conditioned inhomogeneous Curie--Weiss spin Hamiltonians reduces to an unbalanced norm computation, and…
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…