Konzepte der abstrakten Ergodentheorie. Erster Teil: Abstraktion und Analyse des Attraktorbegriffes

Details Konzepte der abstrakten Ergodentheorie. Erster Teil: Abstraktion und Analyse des Attraktorbegriffes Konzepte der abstrakten Ergodentheorie. Erster Teil: Abstraktion und Analyse des Attraktorbegriffes

2009-02-17

arxiv.org/abs/0902.2818v4

Mathematics

Dynamical Systems

100 pages; latex; changed nameing;

Scientific paper

Our conception of a generalized ergodic theory shall exceed the generality of general topology: In this first part of the generalized ergodic theory we investigate the logical constitution of the conception of attractors. We prepare a general theory of sensitivity of flows, which we intend to present in the second part of the generalized ergodic theory. As a result of this first part take the theorem 3.3 and the theorem 3.8: We show a very general ergodic theorem, however it concerns insensitve flows only.

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