156 citations · 2.5k across the 73 of their papers we have counts for
5 papers · 1 filter
Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice
Songbo Jin, Arnab Sen, Anders W. Sandvik
We study the challenging thermal phase transition to stripe order in the frustrated square-lattice Ising model with couplings J1<0 (nearest-neighbor, ferromagnetic) and J2>0 (secon…
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…