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Spectral measure for uniform -regular digraphs
Arka Adhikari, Amir Dembo
Consider the matrix chosen uniformly at random from the finite set of all -dimensional matrices of zero main-diagonal and binary entries, having each row and c…
Moderate Deviations for the Capacity of the Random Walk range in dimension four
Arka Adhikari, Izumi Okada
In this paper, we find a natural four dimensional analog of the moderate deviation results for the capacity of the random walk, which corresponds to Bass, Chen and Rosen \cite{BCR}…
Deviations of the intersection of Brownian Motions in dimension four with general kernel
Arka Adhikari, Izumi Okada
In this paper, we find a natural four dimensional analog of the moderate deviation results of Chen (2004) for the mutual intersection of two independent Brownian motions and $B…
Eigenstate Thermalization Hypothesis for Generalized Wigner Matrices
Arka Adhikari, Sofiia Dubova, Changji Xu +1
In this paper, we extend results of Eigenvector Thermalization to the case of generalized Wigner matrices. Analytically, the central quantity of interest here are multiresolvent tr…