arXiv:2211.09879 Abstract | arXiv Analytics

arXiv:2211.09879 [math.PR]Abstract References Reviews Resources

Existence of the free energy for heavy-tailed spin glasses

Published 2022-11-17Version 1

We study the free energy for a mean-field spin glass whose coupling distribution has power law tails. Under the assumption that the couplings have infinite variance and finite mean, we show that the limit of the quenched free energy exists, and that the free energy is self-averaging.

Comments: 16 pages, comments welcome

Categories: math.PR, math-ph, math.MP

Keywords: heavy-tailed spin glasses, mean-field spin glass, power law tails, finite mean, infinite variance

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