The thermodynamic formalism and central limit theorem for stochastic perturbations of circle maps with a break

Akhtam Dzhalilov, Dieter Mayer, Abdurahmon Aliyev

Let $T\in C^{2+\epsilon }(S^1\setminus \{x_b\}),\epsilon >0,$ be an orientation preserving circle homeomorphism with rotation number $ρ_T=[k_{1},k_{2},..,k_{m},1,1,...],…