68 citations · 477 across the 37 of their papers we have counts for
Showing 2017 · math.PRShow all
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math.PR2017★ 3 cited
On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model
Aukosh Jagannath, Subhabrata Sen
We establish a strict asymptotic inequality between a class of graph partition problems on the sparse End\H{o]s-Rényi and random regular graph ensembles with the same average degre…
math.PR2017★ 40 cited
Spectral gap estimates in mean field spin glasses
Gérard Ben Arous, Aukosh Jagannath
We show that mixing for local, reversible dynamics of mean field spin glasses is exponentially slow in the low temperature regime. We introduce a notion of free energy barriers for…
math.PR2017★ 20 cited
A connection between MAX -CUT and the inhomogeneous Potts spin glass in the large degree limit
Aukosh Jagannath, Justin Ko, Subhabrata Sen
We study the asymptotic behavior of the Max -cut on a family of sparse, inhomogeneous random graphs. In the large degree limit, the leading term is a variational problem, involv…