Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition

DOI10.1007/s12220-017-9816-1zbMath1398.32021arXiv1606.09633OpenAlexW2964200817MaRDI QIDQ1742937

Julie Déserti, Martin Leguil

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09633

zbMATH Keywords

iterationpolynomial automorphisms of \(\mathbb C^3\)

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) 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 (2)

Dynamical degrees of affine-triangular automorphisms of affine spaces ⋮ Dynamical invariants of monomial correspondences

Cites Work

• Unnamed Item
• Unnamed Item
• Shift automorphisms in the Henon mapping
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
• The dynamics of the Hénon map
• On a notion of convexity connected with a method of Carleman
• A two-dimensional mapping with a strange attractor
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
• Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
• Entropy of algebraic maps
• Dynamics of polynomial automorphisms of \(\mathbb C^k\)
• Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian
• The entropy of polynomial diffeomorphisms of C²
• Dynamical properties of plane polynomial automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Value distribution for sequences of rational mappings and complex dynamics
• Minimal models of foliated algebraic surfaces
• Numerical study of quadratic area-preserving mappings
• Differentiable dynamical systems
• Über ganze birationale Transformationen der Ebene.
• The Tits alternative for \(\text{Aut}[\mathbb C^2\)]

This page was built for publication: Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition