On ergodic behavior of $p$-adic dynamical systems

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dc.creatorGundlach, Matthias
dc.creatorKhrennikov, Andrei
dc.creatorLindahl, Karl-Olof
dc.date2008-06-02
dc.date.accessioned2026-07-07T09:42:12Z
dc.date.available2026-07-07T09:42:12Z
dc.descriptionMonomial mappings, $x\mapsto x^n$, are topologically transitive and ergodic with respect to Haar measure on the unit circle in the complex plane. In this paper we obtain an anologous result for monomial dynamical systems over $p-$adic numbers. The process is, however, not straightforward. The result will depend on the natural number $n$. Moreover, in the $p-$adic case we never have ergodicity on the unit circle, but on the circles around the point 1.
dc.identifierhttps://arxiv.org/abs/0806.0260
dc.identifierhttp://arxiv.org/abs/0806.0260
dc.identifierInfinite Dimensional Analysis, Vol. 4, No. 4 (2001) 569--577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162098
dc.subjectDynamical Systems
dc.subject12J25; 37B05; 37A25
dc.titleOn ergodic behavior of $p$-adic dynamical systems
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