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math-ph2008
An elementary approach to Stochastic Differential Equations using the infinitesimals
Vieri Benci, Stefano Galatolo, Marco Ghimenti
The aim of this paper is to evidence two points relative to Nonstandard analysis (NSA): 1. In most applications of NSA to analysis, only elementary facts and techniques of nonstand…
math.DS2008
Effective symbolic dynamics, random points, statistical behavior, complexity and entropy
Stefano Galatolo, Mathieu Hoyrup, Cristobal Rojas
We consider the dynamical behavior of Martin-Löf random points in dynamical systems over metric spaces with a computable dynamics and a computable invariant measure. We use computa…