The patterson measure

Classics, variations and applications

Manfred Heinz Denker, Bernd O. Stratmann

Research output: Contribution to journalArticle

Abstract

This survey is dedicated to S. J. Patterson's 60th birthday in recognition of his seminal contribution to measurable conformal dynamics and fractal geometry. It focuses on construction principles for conformal measures for Kleinian groups, symbolic dynamics, rational functions and more general dynamical systems, due to Patterson, Bowen-Ruelle, Sullivan and Denker-Urba ́nski.

Original languageEnglish (US)
Pages (from-to)171-195
Number of pages25
JournalSpringer Proceedings in Mathematics
Volume9
DOIs
StatePublished - Dec 1 2012

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Conformal Measure
Dynamic geometry
Kleinian Groups
Fractal Geometry
Symbolic Dynamics
Rational function
Dynamical system

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Denker, Manfred Heinz ; Stratmann, Bernd O. / The patterson measure : Classics, variations and applications. In: Springer Proceedings in Mathematics. 2012 ; Vol. 9. pp. 171-195.
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The patterson measure : Classics, variations and applications. / Denker, Manfred Heinz; Stratmann, Bernd O.

In: Springer Proceedings in Mathematics, Vol. 9, 01.12.2012, p. 171-195.

Research output: Contribution to journalArticle

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