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Ergodicity of dynamical systems on 2-adic spheres - MaRDI portal

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

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scientific article; zbMATH DE number 6149498
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Ergodicity of dynamical systems on 2-adic spheres
scientific article; zbMATH DE number 6149498

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    Ergodicity of dynamical systems on 2-adic spheres (English)
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    3 April 2013
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    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.
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    p-adic dynamical system
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    ergodicity
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    van der Put series
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