Debapratim Banerjee

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20182022

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math.PR2022

Independence of linear spectral statistics and the point process at the edge of Wigner matrices

Debapratim Banerjee

In the current paper we consider a Wigner matrix and consider an analytic function of polynomial growth on a set containing the support of the semicircular law in its interior. We…

math.PR2021

Fluctuations of the free energy of the mixed $p$ -spin mean field spin glass model

Debapratim Banerjee, David Belius

We prove the convergence in distribution of the fluctuations of the free energy of the mixed $p$ -spin Sherrington-Kirkpatrick model with non-vanishing $2$ -spin component at high en…

math.PR2019

A Bernstein type inequality for sums of selections from three dimensional arrays

Debapratim Banerjee, Matteo Sordello

We consider the three dimensional array $A = {a_{i, j, k}}_{1 \leq i, j, k \leq n}$ , with $a_{i, j, k} \in [0, 1]$ , and the two random statistics $T_{1}:= \sum_{i=1}^n \sum_{j=1}…

math.PR2019

Fluctuation of the free energy of Sherrington-Kirkpatrick model with Curie-Weiss interaction: the paramagnetic regime

Debapratim Banerjee

We consider a spin system with pure two spin Sherrington-Kirkpatrick Hamiltonian with Curie-Weiss interaction. The model where the spins are spherically symmetric was considered by…

Independence of linear spectral statistics and the point process at the edge of Wigner matrices

Fluctuations of the free energy of the mixed p-spin mean field spin glass model

A Bernstein type inequality for sums of selections from three dimensional arrays

Fluctuation of the free energy of Sherrington-Kirkpatrick model with Curie-Weiss interaction: the paramagnetic regime

Fluctuations of the free energy of the mixed $p$ -spin mean field spin glass model