Equilibrium states and Hausdorff measures for interval maps

Hofbauer F, Keller G (1993)

Publication Type: Journal article, Original article

Publication year: 1993

Journal

Mathematische Nachrichten Wiley-VCH Verlag

Publisher: Wiley-VCH Verlag

Book Volume: 164

Pages Range: 239--257

Journal Issue: 1

DOI: 10.1002/mana.19931640117

Abstract

For a class of piecewise monotone interval maps T (including unimodal maps with negative Schwarzian derivative) and real valued functions f of bounded variation we compare equilibrium states μ of f with Hausdorff measures v and give an integral test for the dichotomy μ ≪ v or μ ⊥ v. For certain classes of rational maps such a result was proved in [15] and [3].

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

Universität Wien / University of Vienna AT Austria (AT)

How to cite

APA:

Hofbauer, F., & Keller, G. (1993). Equilibrium states and Hausdorff measures for interval maps. Mathematische Nachrichten, 164(1), 239--257. https://doi.org/10.1002/mana.19931640117

MLA:

Hofbauer, Franz, and Gerhard Keller. "Equilibrium states and Hausdorff measures for interval maps." Mathematische Nachrichten 164.1 (1993): 239--257.

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