2009/02/17 by Andreas Johann Raab, Raab, Andreas Johann
Engineering · Mathematics · #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Physics and Engineering Research Articles #math.DS
paper · pdf · doi:10.48550/arxiv.0902.2818
100 pages; latex; changed nameing;
arxiv created 2009/04/07 · arxiv updated 2009/12/01
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.