68 citations · 477 across the 37 of their papers we have counts for
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math.PR2015★ 9 cited
On the overlap distribution of branching random walks
Aukosh Jagannath
In this paper, we study the overlap distribution and Gibbs measure of the Branching Random Walk with Gaussian increments on a binary tree. We first prove that the Branching Random…
math.PR2015★ 36 cited
Some Properties of the Phase Diagram for Mixed -Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper we study the Parisi variational problem for mixed -spin glasses with Ising spins. Our starting point is a characterization of Parisi measures whose origin lies in…
math.PR2015★ 56 cited
A Dynamic Programming Approach to the Parisi Functional
Aukosh Jagannath, Ian Tobasco
G.Parisi predicted an important variational formula for the thermodynamic limit of the intensive free energy for a class of mean field spin glasses. In this paper, we present an el…