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math.PR2025
Concentration inequalities and Transfer operators for supercritical Dyson models
Mirmukhsin Makhmudov
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 re…
math.PR2025
The Eigenfunctions of the Transfer Operator for the Dyson model in a field
Mirmukhsin Makhmudov
The recent works \cite{EFMV2024} and \cite{JOP2023} have studied the spectral properties of the Dyson model in the absence of an external field. This paper is a continuation of \ci…