79 citations · 239 across the 7 of their papers we have counts for
3 papers · 1 filter
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Marius Costeniuc, Richard S. Ellis, Peter Tak-Hun Otto
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffiths model. These probabilistic…
Global optimization, the Gaussian ensemble, and universal ensemble equivalence
M. Costeniuc, R. S. Ellis, H. Touchette +1
Shortened abstract: Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic que…
Nonconcave entropies from generalized canonical ensembles
Marius Costeniuc, Richard S. Ellis, Hugo Touchette
It is well-known that the entropy of the microcanonical ensemble cannot be calculated as the Legendre transform of the canonical free energy when the entropy is nonconcave. To circ…