Concentration inequalities and Transfer operators for supercritical Dyson models
Probability
2025-08-05 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
The present paper extends the results on the ferromagnetic Dyson models from \cites{EFMV2024, JOP2025} to the near-critical and strongly interacting regimes. As part of our main result, we further establish Gaussian concentration bounds for the unique infinite-volume Gibbs measure throughout the entire supercritical regime.
Keywords
Cite
@article{arxiv.2508.01703,
title = {Concentration inequalities and Transfer operators for supercritical Dyson models},
author = {Mirmukhsin Makhmudov},
journal= {arXiv preprint arXiv:2508.01703},
year = {2025}
}