Dynamical and arithmetic degrees for random iterations of maps on projective space

DOI10.1017/S0305004120000250zbMath1479.37101arXiv1904.04709OpenAlexW3135568451MaRDI QIDQ4958645

Wade Hindes

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04709

zbMATH Keywords

random sequencedynamical degreerational self-maps

Mathematics Subject Classification ID

Heights (11G50) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15) Random iteration (37H12)

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Cites Work

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• On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
• Kingman's subadditive ergodic theorem
• Subadditive ergodic theory
• Probability essentials.
• The dynamical and arithmetical degrees for eigensystems of rational self-maps
• Stochastic canonical heights
• Degrees of iterates of rational maps on normal projective varieties
• Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
• Canonical Heights for Random Iterations in Certain Varieties
• Probability

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