On some compatible functions on the set of 3-adic integers
Volume 155 / 2019
Colloquium Mathematicum 155 (2019), 197-214
MSC: Primary 11S82; Secondary 37A05.
DOI: 10.4064/cm7218-2-2018
Published online: 21 November 2018
Abstract
We give sufficient conditions for ergodicity of perturbed monomials on 3-adic spheres around the unity. We use a new characterization of transitive compatible functions on compact subsets of 3-adic integers.