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math.DS2026
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
Farhod Haydarov, Shirali Kadyrov, Mirmukhsin Makhmudov +1
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shif…
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…