The ergodicity of 1-Lipschitz transformations on 2-adic spheres
Ekaterina YurovaLinnaeus University, Vaxjo, Sweden
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In this paper we present results about ergodicity of dynamical systems on -adic spheres for 1-Lipschitz maps announced in , and extension of Theorem 3 from  for the case of spheres of radii greater than We propose a new approach to study ergodic properties of 1-Lipschitz transformations of -adic spheres. We use a representation of continuous functions via its van der Put series. This technique allows us to go beyond the classes of smooth 1-Lipschitz transformations which were studied earlier.