Markov extensions and decay of correlations for certain Hénon maps

Michael Benedicks, Lai Sang Young

Research output: Contribution to journalArticle

Abstract

Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

Original languageEnglish (US)
Pages (from-to)13-56
Number of pages44
JournalAsterisque
Volume261
StatePublished - 2000

Fingerprint

Return Time
Decay of Correlations
Exponential Decay
Central limit theorem
Statistical property
Tail

Keywords

  • Central Limit Theorem
  • Decay of correlation
  • Hénon map
  • Markov extension

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Markov extensions and decay of correlations for certain Hénon maps. / Benedicks, Michael; Young, Lai Sang.

In: Asterisque, Vol. 261, 2000, p. 13-56.

Research output: Contribution to journalArticle

@article{f42a6da83d1b4a64bf5f25d370139f8a,
title = "Markov extensions and decay of correlations for certain H{\'e}non maps",
abstract = "H{\'e}non maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.",
keywords = "Central Limit Theorem, Decay of correlation, H{\'e}non map, Markov extension",
author = "Michael Benedicks and Young, {Lai Sang}",
year = "2000",
language = "English (US)",
volume = "261",
pages = "13--56",
journal = "Asterisque",
issn = "0303-1179",
publisher = "Societe Mathematique de France",

}

TY - JOUR

T1 - Markov extensions and decay of correlations for certain Hénon maps

AU - Benedicks, Michael

AU - Young, Lai Sang

PY - 2000

Y1 - 2000

N2 - Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

AB - Hénon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.

KW - Central Limit Theorem

KW - Decay of correlation

KW - Hénon map

KW - Markov extension

UR - http://www.scopus.com/inward/record.url?scp=0040801873&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040801873&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040801873

VL - 261

SP - 13

EP - 56

JO - Asterisque

JF - Asterisque

SN - 0303-1179

ER -