59 citations
- AGH University of KrakowPL17 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ11 papers
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4 papers · 2 filters
On dynamics of graph maps with zero topological entropy
Jian Li, Piotr Oprocha, Yini Yang +1
We explore the dynamics of graph maps with zero topological entropy. It is shown that a continuous map on a topological graph has zero topological entropy if and only if it…
Corrigendum to "Syndetically proximal pairs" [J. Math. Anal. Appl. 379 (2011) 656--663]
Jian Li, T. K. Subrahmonian Moothathu, Piotr Oprocha
We give a counterexample to Theorem 9 in [T.K. Subrahmonian Moothathu, Syndetically proximal pairs, J. Math. Anal. Appl. 379 (2011) 656--663]. We also provide sufficient conditions…
Edrei's Conjecture revisited
Jan P. Boronski, Jiri Kupka, Piotr Oprocha
Motivated by a recent result of Ciesielski and Jasinski we study periodic point free Cantor systems that are conjugate to systems with vanishing derivative everywhere, and more gen…
Shadowing, asymptotic shadowing and s-limit shadowing
Chris Good, Piotr Oprocha, Mate Puljiz
We study three notions of shadowing: classical shadowing, limit (or asymptotic) shadowing, and s-limit shadowing. We show that classical and s-limit shadowing coincide for tent map…