Somabha Mukherjee

activity

20172026

most citedPhase Transitions of the Maximum Likelihood Estimates in the

p

-Spin Curie-Weiss Model

14 citations · 33 across the 24 of their papers we have counts for

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Showing 2024 · math.PRShow all

3 papers · 2 filters

math.PR2024

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 $β$ and zero external field is known to mix in time $Θ (N lo g N)$ for $β< \fr…

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…

math.PR2024

Moderate Deviation and Berry-Esseen Bounds in the $p$ -Spin Curie-Weiss Model

Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya

Limit theorems for the magnetization in the $p$ -spin Curie-Weiss model, for $p \geq 3$ , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…

Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model

Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model

Moderate Deviation and Berry-Esseen Bounds in the p-Spin Curie-Weiss Model

Moderate Deviation and Berry-Esseen Bounds in the $p$ -Spin Curie-Weiss Model