Multifractal analysis of non-uniformly hyperbolic systems

A Johansson; TM Jordan; A Oberg; M Pollicott

doi:10.1007/s11856-010-0040-y

Multifractal analysis of non-uniformly hyperbolic systems

A Johansson
, TM Jordan
, A Oberg
, M Pollicott

Research output: Contribution to journal › Article (Academic Journal) › peer-review

29 Citations (Scopus)

Abstract

We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.

Translated title of the contribution	Multifractal analysis of non-uniformly hyperbolic systems
Original language	English
Pages (from-to)	125 - 144
Number of pages	20
Journal	Israel Journal of Mathematics
Volume	177
Issue number	1
DOIs	https://doi.org/10.1007/s11856-010-0040-y
Publication status	Published - 1 Jun 2010

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Publisher: Springer

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10.1007/s11856-010-0040-y

http://link.springer.com/article/10.1007%2Fs11856-010-0040-y

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title = "Multifractal analysis of non-uniformly hyperbolic systems",

abstract = "We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.",

author = "A Johansson and TM Jordan and A Oberg and M Pollicott",

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year = "2010",

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doi = "10.1007/s11856-010-0040-y",

language = "English",

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T1 - Multifractal analysis of non-uniformly hyperbolic systems

AU - Johansson, A

AU - Jordan, TM

AU - Oberg, A

AU - Pollicott, M

N1 - Publisher: Springer

PY - 2010/6/1

Y1 - 2010/6/1

N2 - We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.

AB - We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.

U2 - 10.1007/s11856-010-0040-y

DO - 10.1007/s11856-010-0040-y

M3 - Article (Academic Journal)

SN - 0021-2172

VL - 177

SP - 125

EP - 144

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Multifractal analysis of non-uniformly hyperbolic systems

Abstract

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