Armenian Journal of Mathematics, 7(2)
2015; 97–120
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Notes on Ergodic Theoryin Infinite Measure Spaces

Victor Arzumanian*, Stanley Eigen, Arshag Hajian

Received: 2024-12-18 · Published: 2015-12-10

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 7(2), 2015.

Original title
Notes on Ergodic Theoryin Infinite Measure Spaces
Authors
Victor Arzumanian, Stanley Eigen, Arshag Hajian
Source journal
Armenian Journal of Mathematics, 7(2)
Published
2015-12-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/115

Abstract

This article is concerned with ergodic theory fortransformations which preserve an infinite measure. In the firstpart we present an overview of the invertible case with a focuson weakly wandering sequences and their applications to num-ber theory as it has developed over the last fifty years. Thesecond part presents a very preliminary investigation into ex-tending weakly wandering sequences to the non-invertible case.This consists primarily of a few examples which illustrate thecomplexities which arise in the non-invertible case.
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