Canonical Heights for Random Iterations in Certain Varieties

DOI10.1093/imrn/rnm023zbMath1208.37056arXivmath/0510633OpenAlexW1989163844MaRDI QIDQ5428085

Shu Kawaguchi

Publication date: 28 November 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510633

zbMATH Keywords

canonical heightadelic metric

Mathematics Subject Classification ID

Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (12)

Stochastic canonical heights ⋮ Counting points of bounded height in monoid orbits ⋮ Canonical heights for correspondences ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ Diophantine approximation and primitive prime divisors in random iterations ⋮ Dynamical and arithmetic degrees for random iterations of maps on projective space ⋮ Dynamical height growth: left, right, and total orbits ⋮ Generalized iterations and primitive divisors ⋮ Orbit counting in polarized dynamical systems ⋮ Finite orbit points for sets of quadratic polynomials ⋮ On intersections of polynomial semigroups orbits with plane lines ⋮ Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height

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