Dynamics measured in a non-Archimedean field

Janne Kool

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arXiv · 1205.3694

Dynamics measured in a non-Archimedean field

Janne Kool

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Abstract

We study dynamical systems using measures taking values in a non-Archimedean field. The underlying space for such measure is a zero-dimensional topological space. In this paper we elaborate on the natural translation of several notions, e.g., probability measures, isomorphic transformations, entropy, from classical dynamical systems to a non-Archimedean setting.

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Janne Kool. 2012-05-17. Dynamics measured in a non-Archimedean field. https://arxiv.org/abs/1205.3694

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