Object

Title: Notes on Ergodic Theory in Infinite Measure Spaces

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2015

Volume:

7

Number:

2

ISSN:

1829-1163

Official URL:


Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

97-120

Abstract:

This article is concerned with ergodic theory for transformations which preserve an infinite measure. In the first part we present an overview of the invertible case with a focus on weakly wandering sequences and their applications to number theory as it has developed over the last fifty years. The second part presents a very preliminary investigation into extending weakly wandering sequences to the non-invertible case. This consists primarily of a few examples which illustrate the complexities which arise in the non-invertible case.

Publisher:

National Academy of Sciences of Armenia

Date created:

2015-12-10

Format:

pdf

Identifier:

oai:arar.sci.am:13285

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

Number of object content hits:

18

All available object's versions:

https://arar.sci.am/publication/15012

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