Ergodicity of dynamical systems on 2-adic spheres (Q1945181)

In this paper, a technique based on the expansion coefficients with respect to the van der Put basis is applied to the study of dynamical systems on \(2\)-adic spheres defined on the field of \(p\)-adic numbers. The authors solve the problem of the stability of the ergodicity condition for nonsmooth perturbations of monomial dynamical systems.