Standard decomposition of expansive ergodically supported dynamics

نویسنده

  • Marcelo Sobottka
چکیده

In this work we introduce the notion of weak quasigroups, that are quasigroup operations defined almost everywhere on some set. Then we prove that the topological entropy and the ergodic period of an invertible expansive ergodically-supported dynamical system with the shadowing property (X,T ) establishes a sufficient criterion for the existence of quasigroup operations defined almost everywhere outside of universally null sets and for what T is an automorphism. Furthermore, we find out a decomposition of the dynamics of T in terms of T -invariant weak topological subquasigroups.

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عنوان ژورنال:
  • CoRR

دوره abs/1201.6371  شماره 

صفحات  -

تاریخ انتشار 2012