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Ruelle-Lanford functions for quantum spin systems
Macro expectations and quantum gibbs a classic case of cluster expansion assignment operator quantum unified quantum
2014/12/24
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and classical) Gibbs states. Our proof is based on Ruelle-Lanford functions [20, 34] and direct subaddit...
Conditional Association and Spin Systems.
A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
Interfaces quenched systems continuous spin models entropy inequality
2009/4/22
We prove a finite volume lower bound of the order square root of log N on the delocalization of a disordered continuous spin model (resp. effective interface model) in d=2 in a box of size N. The inte...
A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
simple fluctuation lower bound spin model
2009/4/2
We prove a finite volume lower bound of the order square root of log N on the delocalization of a disordered continuous spin model (resp. effective interface model) in d=2 in a box of size N. The inte...
Metropolis algorithm and equienergy sampling for two mean field spin systems
asymptotic variance Chain decomposition theorem fast/slowly mixingchain mean-field Ising model Metropolis
2010/4/28
In this paper we study the Metropolis algorithm in connection
with two mean–field spin systems, the so called mean–field Ising model and
the Blume–Emery–Griffiths model. In both this examples the na...