Large Deviations and Random Energy Models

2006/12/28 by Nabin K. Jana, N. K. Jana, B. V. Rao +2
Mathematics · Physics and Astronomy · #60F10 #82D30 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #advanced mathematical theories #math-ph #math.MP #math.PR #msc:60F10 #msc:82D30

paper · pdf · doi:10.48550/arxiv.math/0612836

10 pages

arxiv created 2006/12/28 · openalex publication_date 2006/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a large deviation principle, then the free energy exists almost surely. This includes all the known cases as well as some heavy-tailed distributions.

Citations

• Exponential Random Energy Model

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