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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: km@math.h.kyoto-u.ac.jp)
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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

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