Dimension theoretical properties of generalized Baker's transformations

Jörg Neunhäuserer

doi:10.1088/0951-7715/15/4/315

Dimension theoretical properties of generalized Baker's transformations

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

4 Zitate (Scopus)

Abstract

We show that for generalized Baker's transformations, there is a parameter domain where we have an absolutely continuous ergodic measure and that there is a parameter domain where not even the variational principle for Hausdorff dimension holds.

Originalsprache	Englisch
Zeitschrift	Nonlinearity
Jahrgang	15
Ausgabenummer	4
Seiten (von - bis)	1299-1307
Seitenumfang	9
ISSN	0951-7715
DOIs	https://doi.org/10.1088/0951-7715/15/4/315
Publikationsstatus	Erschienen - 07.2002

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Mathematik

ASJC Scopus Sachgebiete

Statistische und nichtlineare Physik
Angewandte Mathematik
Physik und Astronomie (insg.)
Mathematische Physik

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10.1088/0951-7715/15/4/315

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year = "2002",

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doi = "10.1088/0951-7715/15/4/315",

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UR - https://www.scopus.com/pages/publications/0041382546

U2 - 10.1088/0951-7715/15/4/315

DO - 10.1088/0951-7715/15/4/315

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Dimension theoretical properties of generalized Baker's transformations

Abstract

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