Markov extensions and decay of correlations for certain Hénon maps

Michael Benedicks; Lai Sang Young

Markov extensions and decay of correlations for certain Hénon maps

Mathematics

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

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 language	English (US)
Pages (from-to)	13-56
Number of pages	44
Journal	Asterisque
Volume	261
State	Published - 2000

Keywords

Central Limit Theorem
Decay of correlation
Hénon map
Markov extension

ASJC Scopus subject areas

General Mathematics

Cite this

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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.",

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year = "2000",

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

AU - Benedicks, Michael

AU - Young, Lai Sang

PY - 2000

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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

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VL - 261

SP - 13

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JO - Asterisque

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Markov extensions and decay of correlations for certain Hénon maps

Abstract

Keywords

ASJC Scopus subject areas

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