156 citations · 2.5k across the 73 of their papers we have counts for
4 papers · 2 filters
Coalescing systems of non-Brownian particles
Steven N. Evans, Ben Morris, Arnab Sen
A well-known result of Arratia shows that one can make rigorous the notion of starting an independent Brownian motion at every point of an arbitrary closed subset of the real line…
Geometric influences
Nathan Keller, Elchanan Mossel, Arnab Sen
We present a new definition of influences in product spaces of continuous distributions. Our definition is geometric, and for monotone sets it is identical with the measure of the…
Spectra of large random trees
Shankar Bhamidi, Steven N. Evans, Arnab Sen
We analyze the eigenvalues of the adjacency matrices of a wide variety of random trees. Using general, broadly applicable arguments based on the interlacing inequalities for the ei…
Large dimensional random k circulants
Arup Bose, Joydip Mitra, Arnab Sen
Consider random k-circulants A_{k,n} with n tends to infinity, k=k(n) and whose input sequence \{a_l\}_{l \ge 0} is independent with mean zero and variance one and \sup_n n^{-1}\su…