Standard decomposition of expansive ergodically supported dynamics

Details Standard decomposition of expansive ergodically supported dynamics Standard decomposition of expansive ergodically supported dynamics

2012-01-30

arxiv.org/abs/1201.6371v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

In this work we introduce the notion of weak quasi groups, that are, quasi-group operations defined almost everywhere on some set. Then we present sufficient conditions for an expansive ergodic map $T:X\to X$ to be an automorphism for some topological weak quasi group. Therefore, we find out an Abelian topological weak group operation and a standard decomposition of the dynamics of $T$ in terms of $T$-invariant weak sub-groups.

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