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Return times for nonsingular measurable transformations

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Alpern, Steve and Prasad, Vidhu (1990) Return times for nonsingular measurable transformations. Journal of Mathematical Analysis and Applications, 152 (2). pp. 470-487. doi:10.1016/0022-247X(90)90078-T

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Official URL: http://dx.doi.org/10.1016/0022-247X(90)90078-T

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Abstract

Let σ be a nonsingular antiperiodic automorphism of a Lebesgue probability space . Let π = (π1, π2, …, πk, …) be a probability vector with the property that the k's for which πk> 0 is a relatively prime set of integers and ∑i = 1∞ iπi < ∞. Then there is a measurable set B of positive measure such that the relative distribution of return times under σ to B is the given distribution.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Automorphic functions
Journal or Publication Title: Journal of Mathematical Analysis and Applications
Publisher: Academic Press
ISSN: 0022-247X
Official Date: 1990
Dates:
DateEvent
1990UNSPECIFIED
Volume: 152
Number: 2
Number of Pages: 18
Page Range: pp. 470-487
DOI: 10.1016/0022-247X(90)90078-T
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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