On the existence of conformal measures

Manfred Denker, Mariusz Urbański

Research output: Contribution to journalArticle

83 Citations (Scopus)

Abstract

A general notion of conformai 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 conformai measures relate equilibrium states and HausdorfF measures. This is shown for invariant subsets of S1 under expanding maps.

Original languageEnglish (US)
Pages (from-to)563-587
Number of pages25
JournalTransactions of the American Mathematical Society
Volume328
Issue number2
DOIs
StatePublished - Dec 1991

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Conformal Measure
Expanding Maps
Hausdorff Measure
Equilibrium State
Subset
Invariant
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Denker, Manfred ; Urbański, Mariusz. / On the existence of conformal measures. In: Transactions of the American Mathematical Society. 1991 ; Vol. 328, No. 2. pp. 563-587.
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On the existence of conformal measures. / Denker, Manfred; Urbański, Mariusz.

In: Transactions of the American Mathematical Society, Vol. 328, No. 2, 12.1991, p. 563-587.

Research output: Contribution to journalArticle

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