Arithmetic degrees for dynamical systems over function fields of characteristic zero

DOI10.1007/s00209-018-2053-xzbMath1401.37102arXiv1701.08937OpenAlexW2583189947MaRDI QIDQ1794575

Yohsuke Matsuzawa, Takahiro Shibata, Kaoru Sano

Publication date: 15 October 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08937

zbMATH Keywords

dynamical systemsdynamical degreearithmetic degree

Mathematics Subject Classification ID

Rational and birational maps (14E05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)

Related Items (4)

Higher arithmetic degrees of dominant rational self-maps ⋮ Spectral interpretations of dynamical degrees and applications ⋮ Zariski density of points with maximal arithmetic degree ⋮ Remarks on algebraic dynamics in positive characteristic

Cites Work

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• On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
• Ergodic properties of rational mappings with large topological degree
• An upper bound for the topological entropy of a rational mapping
• Arithmetic and dynamical degrees on abelian varieties
• Examples of dynamical degree equals arithmetic degree
• Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties
• Regularization of currents and entropy

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