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Time averages for continuous functions on distal flows

Published online by Cambridge University Press:  17 April 2009

Carmen Núñez
Carmen Núñez
Affiliation:
Departamento de Matemática Aplicada a la Ingeniería, Universidad de Valladolid, Paseo del Cauce s/n, E-47011 Valladolid, Spain e-mail: carnun@wmatem.eis.uva.es
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Abstract

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We study the time averages of continuous functions along the trajectories of the distal projective flow induced by an ergodic family of Schrödinger equations. General conditions guaranteeing that the set of nonconvergence points is a residual subset are found. Applications to the study of the ergodic structure of the projective flow are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 445 - 452
Copyright
Copyright © Australian Mathematical Society 1998

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