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math.DS2013★ 22 cited
Criteria of ergodicity for -adic dynamical systems in terms of coordinate functions
Andrei Khrennikov, Ekaterina Yurova
This paper is devoted to the problem of ergodicity of -adic dynamical systems. Our aim is to present criteria of ergodicity in terms of coordinate functions corresponding to dig…
math.DS2012
Criteria of measure-preserving for -adic dynamical systems in terms of the van der Put basis
Andrei Khrennikov, Ekaterina Yurova
This paper is devoted to (discrete) -adic dynamical systems, an important domain of algebraic and arithmetic dynamics. We consider the following open problem from theory of -…