68 citations · 519 across the 21 of their papers we have counts for
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math.AP2015★ 7 cited
Symmetry breaking in indented elastic cones
Sergio Conti, Heiner Olbermann, Ian Tobasco
Motivated by simulations of carbon nanocones (see Jordan and Crespi, Phys. Rev. Lett., 2004), we consider a variational plate model for an elastic cone under compression in the dir…
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…