$On the structure of $\alpha$-limit sets of backward trajectories for graph maps$

On the structure of $\alpha$-limit sets of backward trajectories for graph maps

In the paper we study what sets can be obtained as $\alpha$-limit sets of backward trajectories in graph maps. We show that in the case of mixing maps, all those $\alpha$-limit sets are $\omega$-limit sets and for all but finitely many points $x$, we can obtain every $\omega$-limits set as...

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Veröffentlicht in:	arXiv.org 2021-07
Hauptverfasser:	yś-Krawiec, Magdalena, Hantáková, Jana, Oprocha, Piotr
Format:	Artikel
Sprache:	eng
Schlagworte:	Entropy
Online-Zugang:	Volltext
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On the structure of \(\alpha\)-limit sets of backward trajectories for graph maps