Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\)

DOI10.1007/s00208-014-1131-6zbMath1381.37007arXiv1304.6955OpenAlexW2143212894MaRDI QIDQ2516871

Gabriel Vigny

Publication date: 4 August 2015

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

Full work available at URL: https://arxiv.org/abs/1304.6955

zbMATH Keywords

invariant measuresCremona transformationdecay of correlations

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Ergodicity, mixing, rates of mixing (37A25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Exponential mixing property for Hénon–Sibony maps of ⋮ Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT ⋮ On the complex dynamics of birational surface maps defined over number fields

Cites Work

• Unnamed Item
• Super-potentials of positive closed currents, intersection theory and dynamics
• Decay of correlations for Hénon maps
• Dynamics of horizontal-like maps in higher dimension
• Quelques problèmes de prolongement de courants en analyse complexe
• Dynamics of regular birational maps in \(\mathbb P^k\)
• Energy and invariant measures for birational surface maps
• Dirichlet-like space and capacity in complex analysis in several variables
• Laminar currents and birational dynamics
• Exponential mixing for automorphisms on compact Kaehler manifolds
• Entropy of meromorphic maps and dynamics of birational maps
• Decay of correlations and the central limit theorem for meromorphic maps

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