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Non-autonomous dynamics in $\mathbb{P}^k$

Published online by Cambridge University Press:  19 May 2005

HAN PETERS
HAN PETERS
Affiliation:
University of Michigan, Ann Arbor, MI 48109, USA (e-mail: hanpet@umich.edu)
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Abstract

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We study the dynamics of compositions of a sequence of holomorphic mappings in $\mathbb{P}^k$. We define ergodicity and mixing for non-autonomous dynamical systems, and we construct totally invariant measures for which our sequence satisfies these properties.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 4 , August 2005 , pp. 1295 - 1304
Copyright
2005 Cambridge University Press