Dynamical systems which realize given random bi-sequences of points on their orbits

DOI10.1016/J.TOPOL.2011.04.004zbMath1223.54050OpenAlexW2017861572MaRDI QIDQ549138

Hisao Kato

Publication date: 7 July 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/?action=repository_action_common_download&item_id=24722&item_no=1&attribute_id=17&file_no=1

zbMATH Keywords

dynamical systemtransitive maporbit realization

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Topological dynamics (37B99) Ergodic theory (37A99) Regular neighborhoods in PL-topology (57Q40)

Cites Work

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• A characterization of the universal curve and a proof of its homogeneity
• Measures and topological dynamics on Menger manifolds
• Measure-preserving homeomorphisms and metrical transitivity
• On scrambled sets and a theorem of Kuratowski on independent sets
• Countable dense homogeneous spaces
• Characterizing 𝑘-dimensional universal Menger compacta

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