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arXiv · 2508.01703

Concentration inequalities and Transfer operators for supercritical Dyson models

Mirmukhsin Makhmudov
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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.

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Mirmukhsin Makhmudov. 2025-08-03. Concentration inequalities and Transfer operators for supercritical Dyson models. https://arxiv.org/abs/2508.01703

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