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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
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 |
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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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