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math.PR2019
A Bernstein type inequality for sums of selections from three dimensional arrays
Debapratim Banerjee, Matteo Sordello
We consider the three dimensional array , with , 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…