On the existence of conformal measures-Reference-Cited by-同舟云学术

On the existence of conformal measures

Published:1991 Issue:2 Volume:328 Page:563-587
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Denker Manfred,Urbański Mariusz

Abstract

A general notion of conformal measure is introduced and some basic properties are studied. Sufficient conditions for the existence of these measures are obtained, using a general construction principle. The geometric properties of conformal measures relate equilibrium states and Hausdorff measures. This is shown for invariant subsets of S 1 {S^1} under expanding maps.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1991-328-02/S0002-9947-1991-1014246-4/S0002-9947-1991-1014246-4.pdf

Reference24 articles.

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4. On the uniqueness of equilibrium states for piecewise monotone mappings;Denker, Manfred;Studia Math.,1990

5. Cambridge Tracts in Mathematics;Falconer, K. J.,1986

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