Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-20T11:26:24.038Z Has data issue: false hasContentIssue false
  • English
  • Français

Quadratic polynomial automorphisms of dynamical degree golden ratio of [Copf ]3

Published online by Cambridge University Press:  04 June 2001

KAZUTOSHI MAEGAWA
KAZUTOSHI MAEGAWA
Affiliation:
Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 6068501, Japan (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The dynamics of a shift-like mapping f(x,y,z)=(y,z,yz+by+cz+dx+e) (d≠0) is studied, which is one of the normal forms of irregular quadratic polynomial automorphisms of [Copf ]3. It is shown that f has Green functions G±(x,y,z) associated to the dynamical degree of f. To obtain them, we consider a sort of filtration property.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001 , pp. 823 - 832
Copyright
2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)