Dynamics of shift-like polynomial diffeomorphisms of 𝐶^{𝑁}-Reference-Cited by-同舟云学术

Dynamics of shift-like polynomial diffeomorphisms of 𝐶^{𝑁}

Published:1998-05-12 Issue:4 Volume:2 Page:45-55
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Bedford Eric,Pambuccian Victoria

Abstract

We identify a family of polynomial diffeomorphisms of C N {\mathbf C}^N and show that these mappings may be studied using certain methods (filtration and potential-theoretic) which were developed for the study of polynomial diffeomorphisms of C 2 {\mathbf C}^2 .

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/1998-02-04/S1088-4173-98-00027-7/S1088-4173-98-00027-7.pdf

Reference8 articles.

1. Polynomial diffeomorphisms of 𝐶²: currents, equilibrium measure and hyperbolicity;Bedford, Eric;Invent. Math.,1991

2. The Dirichlet problem for a complex Monge-Ampère equation;Bedford, Eric;Invent. Math.,1976

3. [BuS] G. Buzzard and J. Smillie, Complex dynamics in several variables, Flavors of Geometry, MSRI Publications, Vol. 31, 1997.

4. Complex Hénon mappings in 𝐶² and Fatou-Bieberbach domains;Fornæss, John Erik;Duke Math. J.,1992

5. Dynamical properties of plane polynomial automorphisms;Friedland, Shmuel;Ergodic Theory Dynam. Systems,1989

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