Invariant measures and asymptotics for some skew products

Jon Aaronson; Hitoshi Nakada; Omri Sarig; Rita Solomyak

doi:10.1007/BF02785420

Invariant measures and asymptotics for some skew products

Jon Aaronson, Hitoshi Nakada, Omri Sarig, Rita Solomyak

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.

Original language	English
Article number	BF02785420
Pages (from-to)	93-134
Number of pages	42
Journal	Israel Journal of Mathematics
Volume	128
DOIs	https://doi.org/10.1007/BF02785420
Publication status	Published - 2002 Jan 1

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/BF02785420

Cite this

@article{5c4e2c8086cd47a091643699aa65cad4,

title = "Invariant measures and asymptotics for some skew products",

abstract = "For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.",

author = "Jon Aaronson and Hitoshi Nakada and Omri Sarig and Rita Solomyak",

year = "2002",

month = jan,

day = "1",

doi = "10.1007/BF02785420",

language = "English",

volume = "128",

pages = "93--134",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Invariant measures and asymptotics for some skew products

AU - Aaronson, Jon

AU - Nakada, Hitoshi

AU - Sarig, Omri

AU - Solomyak, Rita

PY - 2002/1/1

Y1 - 2002/1/1

N2 - For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.

AB - For certain group extensions of uniquely ergodic transformations, we identify all locally finite, ergodic, invariant measures. These are Maharam type measures. We also establish the asymptotic behaviour for these group extensions proving logarithmic ergodic theorems, and bounded rational ergodicity.

UR - http://www.scopus.com/inward/record.url?scp=0036352047&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036352047&partnerID=8YFLogxK

U2 - 10.1007/BF02785420

DO - 10.1007/BF02785420

M3 - Article

AN - SCOPUS:0036352047

SN - 0021-2172

VL - 128

SP - 93

EP - 134

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

M1 - BF02785420

ER -

Invariant measures and asymptotics for some skew products

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this