Decay of correlations for Hénon maps
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Publication:856799
DOI10.1007/BF02588081zbMath1370.37087arXivmath/0409356OpenAlexW1963541438MaRDI QIDQ856799
Publication date: 12 December 2006
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409356
Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) 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)
Related Items (10)
Exponential mixing property for Hénon–Sibony maps of ⋮ Improved bounds on weak \(\varepsilon\)-nets for convex sets ⋮ Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\) ⋮ Super-potentials of positive closed currents, intersection theory and dynamics ⋮ 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 ⋮ Dynamics of horizontal-like maps in higher dimension ⋮ Geometry of currents, intersection theory and dynamics of horizontal-like maps ⋮ Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\) ⋮ The bifurcation measure has maximal entropy
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