Multifractal analysis of Birkhoff averages for some self-affine IFS

Thomas Jordan, K. Simon

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this article we consider self-affine IFS {Si} i=1m0 on the plane of the form Si(x 1,x2) = (λix1 + t i1, Φix2 + ti 2), where 0 <|λi|,|Φi| <(1/2). We describe the multifractal analysis of Birkhoff averages of the continuous functions.

Original languageEnglish
Pages (from-to)469-483
Number of pages15
JournalDynamical Systems
Volume22
Issue number4
DOIs
Publication statusPublished - Dec 2007

Fingerprint

Multifractal Analysis
Self-affine
Continuous Function
Form

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Applied Mathematics

Cite this

Multifractal analysis of Birkhoff averages for some self-affine IFS. / Jordan, Thomas; Simon, K.

In: Dynamical Systems, Vol. 22, No. 4, 12.2007, p. 469-483.

Research output: Contribution to journalArticle

@article{09c8468a6c2c41c3816e11722cac8b2f,
title = "Multifractal analysis of Birkhoff averages for some self-affine IFS",
abstract = "In this article we consider self-affine IFS {Si} i=1m0 on the plane of the form Si(x 1,x2) = (λix1 + t i1, Φix2 + ti 2), where 0 <|λi|,|Φi| <(1/2). We describe the multifractal analysis of Birkhoff averages of the continuous functions.",
author = "Thomas Jordan and K. Simon",
year = "2007",
month = "12",
doi = "10.1080/14689360701524305",
language = "English",
volume = "22",
pages = "469--483",
journal = "Dynamical Systems",
issn = "1468-9367",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - Multifractal analysis of Birkhoff averages for some self-affine IFS

AU - Jordan, Thomas

AU - Simon, K.

PY - 2007/12

Y1 - 2007/12

N2 - In this article we consider self-affine IFS {Si} i=1m0 on the plane of the form Si(x 1,x2) = (λix1 + t i1, Φix2 + ti 2), where 0 <|λi|,|Φi| <(1/2). We describe the multifractal analysis of Birkhoff averages of the continuous functions.

AB - In this article we consider self-affine IFS {Si} i=1m0 on the plane of the form Si(x 1,x2) = (λix1 + t i1, Φix2 + ti 2), where 0 <|λi|,|Φi| <(1/2). We describe the multifractal analysis of Birkhoff averages of the continuous functions.

UR - http://www.scopus.com/inward/record.url?scp=36949012966&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36949012966&partnerID=8YFLogxK

U2 - 10.1080/14689360701524305

DO - 10.1080/14689360701524305

M3 - Article

VL - 22

SP - 469

EP - 483

JO - Dynamical Systems

JF - Dynamical Systems

SN - 1468-9367

IS - 4

ER -