Multiple recurrence theorems for set-valued maps

In this paper, we mainly extend the Khintchine's recurrence theorem, Furstenberg's multiple recurrence theorem, and multiple Birkhoff recurrence theorem from single-valued maps to set-valued maps.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-11, Vol.455 (1), p.452-462
Main Authors: Huang, Shu-Qi, Liang, Hailan
Format: Article
Language:English
Subjects:
Multiple recurrence theorem
Set-valued map
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Description
Summary:In this paper, we mainly extend the Khintchine's recurrence theorem, Furstenberg's multiple recurrence theorem, and multiple Birkhoff recurrence theorem from single-valued maps to set-valued maps.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.06.008