Ergodic and Thermodynamic Games

Rafael R. Souza

Let $T:X\to X$ and $S:Y\to Y$ be continuous maps defined on compact sets. Let $${\phi }_i(\mu ,\nu )={\int }_{X\times Y}{A}_i(x,y)d\mu (x)d\nu (y)fori=1,2,$$ where $\mu$ is $T$-invariant…