Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\)

DOI10.1007/s00208-016-1369-2zbMath1361.32042arXiv1403.0070OpenAlexW2304837213MaRDI QIDQ343169

Tien-Cuong Dinh, Nessim Sibony

Publication date: 25 November 2016

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

Full work available at URL: https://arxiv.org/abs/1403.0070

zbMATH Keywords

polynomial automorphismsiterationsclosed positive currentsGreen measures

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) General pluripotential theory (32U15)

Related Items (8)

On the set of divisors with zero geometric defect ⋮ Unique ergodicity for foliations in \(\mathbb {P}^2\) with an invariant curve ⋮ Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT ⋮ On the work of Sarig on countable Markov chains and thermodynamic formalism ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Exotic periodic points

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