Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states

Haruyoshi Tanaka

We study the asymptotic solution of the equation of the pressure function $s\mapsto P(s\phi (\epsilon ,\cdot )+\psi (\epsilon ,\cdot ))$ for perturbed potentials $\phi (\epsilon ,\cdot )$ and $\psi (\epsilon ,\cdot )$ defined on the…