Somabha Mukherjee

activity

20242026

collaborators

Showing math.PRShow all

4 papers · 1 filter

math.PR2026

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…

math.PR2025

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 $2$ -spin Curie-Weiss model on $N$ nodes with inverse temperature $I^^{2}$ and zero external field is known to mix in time $I^ (N lo g N)$ for $Î²<…

math.PR2024

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 $T_{n} = \sum_{1 \leq u < v \leq n} a_{u, v} X_{u} X_{v}$ , where $((a_{u, v}))_{1 \leq u, v \leq n}$ is a $\{0,…

math.PR2024

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…