Dynamics measured in a non-Archimedean field

2012/05/16 by Kool, Janne
#Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1205.3694

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.

Related

• Entropy of nonautonomous dynamical systems
• Metric Entropy of Nonautonomous Dynamical Systems
• Rigidité, expansion et entropie en dynamique non-archimédienne (Rigidity, expansion and entropy in non-Archimedean dynamics)
• Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields
• Topological entropy of nonautonomous dynamical systems