2 citations · 2 across the 10 of their papers we have counts for
6 papers · 1 filter
Fluctuations in random field Ising models
Seunghyun Lee, Nabarun Deb, Sumit Mukherjee
This paper establishes a CLT for linear statistics of the form with quantitative Berry-Esseen bounds, where is an observa…
Gibbs Measures with Multilinear Forms
Sohom Bhattacharya, Nabarun Deb, Sumit Mukherjee
In this paper, we study a class of multilinear Gibbs measures with Hamiltonian given by a generalized -statistic and with a general base measure. Expressing the asympto…
LDP for Inhomogeneous U-Statistics
Sohom Bhattacharya, Nabarun Deb, Sumit Mukherjee
In this paper we derive a Large Deviation Principle (LDP) for inhomogeneous U/V-statistics of a general order. Using this, we derive a LDP for two types of statistics: random multi…
Large random matrices with given margins
Hanbaek Lyu, Sumit Mukherjee
We study large random matrices with i.i.d. entries conditioned to have prescribed row and column sums (margins), a problem connected to relative entropy minimization, Schrödinger…
Persistence and Ball Exponents for Gaussian Stationary Processes
Naomi Feldheim, Ohad Feldheim, Sumit Mukherjee
Consider a real Gaussian stationary process , indexed on either or and admitting a spectral measure . We study $θ_Ï^\ell=-\lim\limits_{T\to\in…
Universality of Persistence of Random Polynomials
Promit Ghosal, Sumit Mukherjee
We investigate the probability that a random polynomial with independent, mean-zero and finite variance coefficients has no real zeros. Specifically, we consider a random polynomia…