Periodic points and shadowing for generic Lebesgue measure-preserving interval maps
DOI10.1088/1361-6544/ac62dfzbMath1504.37043arXiv2103.14309OpenAlexW4224983188MaRDI QIDQ5863868
Jernej Činč, Jozef Bobok, Piotr Oprocha, Serge E. Troubetzkoy
Publication date: 3 June 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14309
Hausdorff dimensioninterval mapsperiodic pointscircle mapsshadowinggeneric propertiesupper box dimensionLebesgue measure preserving
Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving maps of the interval (37E05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)
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