Effective uniqueness of Parry measure and exceptional sets in ergodic theory

Shirali Kadyrov

doi:10.1007/s00605-014-0690-7

Effective uniqueness of Parry measure and exceptional sets in ergodic theory

Shirali Kadyrov

Department of Mathematics

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

4 Citations (Scopus)

Abstract

It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.

Original language	English
Pages (from-to)	237-249
Number of pages	13
Journal	Monatshefte fur Mathematik
Volume	178
Issue number	2
DOIs	https://doi.org/10.1007/s00605-014-0690-7
Publication status	Published - Oct 13 2015

Keywords

Hausdorff dimension
Maximal entropy
Symbolic dynamics

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00605-014-0690-7

Fingerprint Dive into the research topics of 'Effective uniqueness of Parry measure and exceptional sets in ergodic theory'. Together they form a unique fingerprint.

Cite this

@article{27d5ad5e5a4a46f58f6c93c65ab341d0,

title = "Effective uniqueness of Parry measure and exceptional sets in ergodic theory",

abstract = "It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.",

keywords = "Hausdorff dimension, Maximal entropy, Symbolic dynamics",

author = "Shirali Kadyrov",

year = "2015",

month = oct,

day = "13",

doi = "10.1007/s00605-014-0690-7",

language = "English",

volume = "178",

pages = "237--249",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer Wien",

number = "2",

}

TY - JOUR

T1 - Effective uniqueness of Parry measure and exceptional sets in ergodic theory

AU - Kadyrov, Shirali

PY - 2015/10/13

Y1 - 2015/10/13

N2 - It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.

AB - It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.

KW - Hausdorff dimension

KW - Maximal entropy

KW - Symbolic dynamics

UR - http://www.scopus.com/inward/record.url?scp=84941418889&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941418889&partnerID=8YFLogxK

U2 - 10.1007/s00605-014-0690-7

DO - 10.1007/s00605-014-0690-7

M3 - Article

AN - SCOPUS:84941418889

VL - 178

SP - 237

EP - 249

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

IS - 2

ER -