3 papers
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.DS2025
Gibbs Properties of Equilibrium States
Mirmukhsin Makhmudov, Evgeny Verbitskiy
We consider the problem of equivalence of Gibbs states and equilibrium states for continuous potentials on full shift spaces . Sinai, Bowen, Ruelle and others estab…
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…