On the large deviations theorem and ergodicity

Xinxing Wu; Guanrong Chen

doi:10.1016/j.cnsns.2015.06.030

On the large deviations theorem and ergodicity

Xinxing Wu^*
, Guanrong Chen

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

17 Citations (Scopus)

Abstract

This paper proves that every transformation defined on a Borel probability measure space satisfying the large deviations theorem is ergodic. As a corollary, every strongly topologically ergodic dynamical system satisfying the large deviations theorem is syndetically sensitive, improving the main result obtained by Li (2013).

Original language	English
Pages (from-to)	243-247
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	30
Issue number	1-3
Online published	2 Jul 2015
DOIs	https://doi.org/10.1016/j.cnsns.2015.06.030
Publication status	Published - Jan 2016

Research Keywords

Ergodic
Large deviations theorem
Syndetical sensitivity

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10.1016/j.cnsns.2015.06.030

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title = "On the large deviations theorem and ergodicity",

abstract = "This paper proves that every transformation defined on a Borel probability measure space satisfying the large deviations theorem is ergodic. As a corollary, every strongly topologically ergodic dynamical system satisfying the large deviations theorem is syndetically sensitive, improving the main result obtained by Li (2013).",

keywords = "Ergodic, Large deviations theorem, Syndetical sensitivity",

author = "Xinxing Wu and Guanrong Chen",

year = "2016",

month = jan,

doi = "10.1016/j.cnsns.2015.06.030",

language = "English",

volume = "30",

pages = "243--247",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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publisher = "Elsevier B.V.",

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T1 - On the large deviations theorem and ergodicity

AU - Wu, Xinxing

AU - Chen, Guanrong

PY - 2016/1

Y1 - 2016/1

N2 - This paper proves that every transformation defined on a Borel probability measure space satisfying the large deviations theorem is ergodic. As a corollary, every strongly topologically ergodic dynamical system satisfying the large deviations theorem is syndetically sensitive, improving the main result obtained by Li (2013).

AB - This paper proves that every transformation defined on a Borel probability measure space satisfying the large deviations theorem is ergodic. As a corollary, every strongly topologically ergodic dynamical system satisfying the large deviations theorem is syndetically sensitive, improving the main result obtained by Li (2013).

KW - Ergodic

KW - Large deviations theorem

KW - Syndetical sensitivity

UR - https://www.scopus.com/pages/publications/84939559288#tab=impact

UR - https://www.scopus.com/pages/publications/84939559288

U2 - 10.1016/j.cnsns.2015.06.030

DO - 10.1016/j.cnsns.2015.06.030

M3 - RGC 21 - Publication in refereed journal

SN - 1007-5704

VL - 30

SP - 243

EP - 247

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 1-3

ER -

On the large deviations theorem and ergodicity

Abstract

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GRF: Controllability and Observability of Evolving Directed Networks with Non-identical Linear Node Dynamics

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On the large deviations theorem and ergodicity

Abstract

Research Keywords

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GRF: Controllability and Observability of Evolving Directed Networks with Non-identical Linear Node Dynamics

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