Almost surely recurrent motions in the Euclidean space

We will show that measure-preserving transformations of \mathbb{R}^n are recurrent if they satisfy a certain growth condition depending on the dimension n. Moreover, it is also shown that this condition is sharp.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2017-10, Vol.145 (10), p.4345-4351
Main Authors: KUNZE, MARKUS, ORTEGA, RAFAEL
Format: Article
Language:English
Subjects:
B. ANALYSIS
Online Access:Get full text
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Description
Summary:We will show that measure-preserving transformations of \mathbb{R}^n are recurrent if they satisfy a certain growth condition depending on the dimension n. Moreover, it is also shown that this condition is sharp.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13556