Chaos and Non-Archimedean metric in the Bernoulli map
Jesus San-Martin, Oscar Sotolongo-Costa
Abstract
Ultrametric concepts are applied to the Bernoulli map, showing the adequateness of the non-Archimedean metrics to describe in a simple and direct way the chaotic properties of this map. Lyapunov exponent and Kolmogorov entropy appear to find a simpler explanation. A p-adic time emerges as a natural consequence of the ultrametric properties of the map.
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