The conditional variational principle for maps with the pseudo-orbit tracing property
The conditional variational principle for maps with the pseudo-orbit tracing property
Let $(X,d,f)$ be a topological dynamical system, where $(X,d)$ is a compact metric space and $f:X \to X$ is a continuous map. We define $n$-ordered empirical measure of $x \in X$ by \begin{document}$\mathscr{E}_n(x) = \frac{1}{n}\sum\limits_{i = 0}^{n-1}δ_{f^ix},$ \end{document} where $δ_y$ is the Dirac mass at $y$. Denote by $V(x)$ the …