Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos

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January 2000, 6(1): 51-60. doi: 10.3934/dcds.2000.6.51

Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos

1.	Mathematics Department, University of Michigan, 530 Church Street, 2074 East Hall, Ann Arbor, MI 48109-1043, United States

Received May 1999 Published December 1999

Abstract
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We investigate complex dynamics in infinite dimensions. Such systems can be described via quasiconjugacies with finite dimensional systems. Natural examples can be found within the field of quantum chaos. We show that the dynamics localizes.

Keywords: localization, Complex Dynamics, quantum chaos., quasiconjugacy.

Mathematics Subject Classification: 32H50, 37F99, 81Q5.

Citation: John Erik Fornæss. Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos. Discrete & Continuous Dynamical Systems - A, 2000, 6 (1) : 51-60. doi: 10.3934/dcds.2000.6.51

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