Henon-like mappings in C 2
From MaRDI portal
Publication:4826406
DOI10.1353/ajm.2004.0010zbMath1064.37035OpenAlexW2066660615MaRDI QIDQ4826406
Publication date: 11 November 2004
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/v126/126.2dujardin.pdf
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) 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 (26)
Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ On the regular automorphisms of \(\mathbb{C}^k\). ⋮ Typical dynamics of plane rational maps with equal degrees ⋮ Dynamics of transcendental Hénon maps. III: Infinite entropy ⋮ Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\) ⋮ Attracting currents and equilibrium measures for quasi-attractors of \(\mathbb {P}^k\) ⋮ A degenerate Newton's map in two complex variables: linking with currents ⋮ Control of Julia sets of the complex Hénon system ⋮ Super-potentials of positive closed currents, intersection theory and dynamics ⋮ Dynamics of automorphisms on compact Kähler manifolds ⋮ Hyperbolicity and Bifurcations in holomorphic families of polynomial skew products ⋮ Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT ⋮ A symbolic characterization of the horseshoe locus in the Hénon family ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ Entropy of transcendental entire functions ⋮ On the work of Sarig on countable Markov chains and thermodynamic formalism ⋮ Hyperbolic measure of maximal entropy for generic rational maps of \(\mathbb P^k\) ⋮ Dynamics of transcendental Hénon maps ⋮ Dynamics of horizontal-like maps in higher dimension ⋮ Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms ⋮ Geometry of currents, intersection theory and dynamics of horizontal-like maps ⋮ On the size of attractors in \(\mathbb P^k\) ⋮ Newhouse phenomenon for automorphisms of low degree in \(\mathbb{C}^3\) ⋮ Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos ⋮ Global dynamics of the real secant method ⋮ On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\)
This page was built for publication: Henon-like mappings in C 2