14 citations · 33 across the 24 of their papers we have counts for
9 papers · 1 filter
Scaling Limits for Ising Models on Inhomogeneous Random Graphs and Applications
Sanchayan Bhowal, Anirban Chatterjee, Somabha Mukherjee
In this paper, we derive quenched scaling limits for linear functionals and the empirical spin field of Ising models on inhomogeneous random graphs generated by a graphon (encompas…
Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model
Ramkrishna Jyoti Samanta, Somabha Mukherjee, Jiang Zhang
The Glauber dynamics for the classical -spin Curie-Weiss model on nodes with inverse temperature and zero external field is known to mix in time for $β< \fr…
Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal, Somabha Mukherjee
In this paper, we derive distributional convergence rates for the magnetization vector and the maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor…
Moderate Deviation and Berry-Esseen Bounds in the -Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya
Limit theorems for the magnetization in the -spin Curie-Weiss model, for , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…
Fluctuations of Quadratic Chaos
Bhaswar B. Bhattacharya, Sayan Das, Somabha Mukherjee +1
In this paper we characterize all distributional limits of the random quadratic form , where is a $\{0,…
Asymptotic Distribution of Bernoulli Quadratic Forms
Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Consider the random quadratic form , where is a -valued symmetric matrix with zeros on th…
Replica Symmetry in Upper Tails of Mean-Field Hypergraphs
Somabha Mukherjee, Bhaswar B. Bhattacharya
Given a sequence of -uniform hypergraphs , denote by the number of edges in the random induced hypergraph obtained by including every vertex in $H…
The Second Moment Phenomenon for Monochromatic Subgraphs
Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
What is the chance that among a group of friends, there are friends all of whom have the same birthday? This is the celebrated birthday problem which can be formulated as t…
A Proof of the Herschel-Maxwell Theorem Using the Strong Law of Large Numbers
Somabha Mukherjee
In this article, we use the strong law of large numbers to give a proof of the Herschel-Maxwell theorem, which characterizes the normal distribution as the distribution of the comp…