Ergodic Transformations of the Space of $p$-adic Integers

Vladimir Anashin

Let ${\mathcal{L}}_1$ be the set of all mappings $f:{\mathbb{Z}}_p{\mathbb{Z}}_p$ of the space of all $p$-adic integers ${\mathbb{Z}}_p$ into itself that satisfy Lipschitz condition with a constant 1. We prov…