Multiple recurrence theorems for set-valued maps

DOI10.1016/j.jmaa.2017.06.008zbMath1377.37011OpenAlexW2624480000MaRDI QIDQ2013089

Shu-Qi Huang, Hailan Liang

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.008

zbMATH Keywords

set-valued mapmultiple recurrence theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (2)

On the eventual shadowing property and eventually shadowable point of set-valued dynamical systems ⋮ On the shadowing property and shadowable point of set-valued dynamical systems

Cites Work

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• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Invariant measures of set-valued maps
• A fixed point theorem of Markov-Kakutani type for a commuting family of convex multivalued maps
• Poincaré's recurrence theorem for set-valued dynamical systems
• Invariant Measures for Set-Valued Dynamical Systems
• Set-valued analysis

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