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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 ISSN 0022-247X.
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Official URL: http://dx.doi.org/10.1016/0022-247X(90)90078-T
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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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: |
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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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