A Large Deviation Principle for Gibbs States on Markov Shifts at Zero Temperature

Rodrigo Bissacot, Jairo K. Mengue, Edgardo Pérez

Let ${\Sigma }_A(\mathbb{N})$ be a topologically mixing countable Markov shift with the BIP property over the alphabet $\mathbb{N}$ and $f:{\Sigma }_A(\mathbb{N})\to \mathbb{R}$ a po…