156 citations · 2.5k across the 73 of their papers we have counts for
4 papers · 2 filters
Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix
Arnab Sen, Bálint Virág
We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is absolutely continuous with density bounded by 8, partially answering a question of Bryc,…
The top eigenvalue of the random Toeplitz matrix and the sine kernel
Arnab Sen, Bálint Virág
We show that the top eigenvalue of an random symmetric Toeplitz matrix, scaled by , converges to the square of the operator norm of the sine ke…
On reverse hypercontractivity
Elchanan Mossel, Krzysztof Oleszkiewicz, Arnab Sen
We study the notion of reverse hypercontractivity. We show that reverse hypercontractive inequalities are implied by standard hypercontractive inequalities as well as by the modifi…
Stochastic population growth in spatially heterogeneous environments
Steven N. Evans, Peter L. Ralph, Sebastian J. Schreiber +1
Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. To understand the int…