SRB measures as zero-noise limits

William Cowieson; Lai Sang Young

doi:10.1017/S0143385704000604

SRB measures as zero-noise limits

William Cowieson, Lai Sang Young

Mathematics

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

Abstract

We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.

Original language	English (US)
Pages (from-to)	1115-1138
Number of pages	24
Journal	Ergodic Theory and Dynamical Systems
Volume	25
Issue number	4
DOIs	https://doi.org/10.1017/S0143385704000604
State	Published - Aug 2005

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1017/S0143385704000604

Fingerprint Dive into the research topics of 'SRB measures as zero-noise limits'. Together they form a unique fingerprint.

Cite this

@article{44bf5448690944ecb58aea47227f7ac1,

title = "SRB measures as zero-noise limits",

abstract = "We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.",

author = "William Cowieson and Young, {Lai Sang}",

year = "2005",

month = aug,

doi = "10.1017/S0143385704000604",

language = "English (US)",

volume = "25",

pages = "1115--1138",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - SRB measures as zero-noise limits

AU - Cowieson, William

AU - Young, Lai Sang

PY - 2005/8

Y1 - 2005/8

N2 - We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.

AB - We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.

UR - http://www.scopus.com/inward/record.url?scp=23444448555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23444448555&partnerID=8YFLogxK

U2 - 10.1017/S0143385704000604

DO - 10.1017/S0143385704000604

M3 - Article

AN - SCOPUS:23444448555

VL - 25

SP - 1115

EP - 1138

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 4

ER -