Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos

John Erik Fornæss

doi:10.3934/dcds.2000.6.51

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2000, Volume 6, Issue 1: 51-60. Doi: 10.3934/dcds.2000.6.51

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Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos

John Erik Fornæss^1,

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

Received: April 30, 1999

Published: December 1999

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Abstract

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.

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Mathematics Subject Classification: 32H50, 37F99, 81Q50.

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