Existence of the free energy for heavy-tailed spin glasses
Probability
2022-12-06 v2 Mathematical Physics
math.MP
Abstract
We study the free energy of 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 thermodynamic limit of the quenched free energy exists, and that the free energy is self-averaging.
Keywords
Cite
@article{arxiv.2211.09879,
title = {Existence of the free energy for heavy-tailed spin glasses},
author = {Aukosh Jagannath and Patrick Lopatto},
journal= {arXiv preprint arXiv:2211.09879},
year = {2022}
}
Comments
17 pages, comments welcome