On entropy of $\Phi$-irregular and $\Phi$-level sets in maps with the shadowing property

Magdalena Foryś-Krawiec, Jiri Kupka, Piotr Oprocha +1

We study the properties of $\Phi$-irregular sets (sets of points for which the Birkhoff average diverges) in dynamical systems with the shadowing property. We estimate the topological…