Hausdorff and packing measure for solenoids

Michał Rams, K. Simon

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in ℝ2).

Original languageEnglish
Pages (from-to)273-291
Number of pages19
JournalErgodic Theory and Dynamical Systems
Volume23
Issue number1
DOIs
Publication statusPublished - Feb 2003

Fingerprint

Packing Measure
Solenoid
Hausdorff Measure
Solenoids
Attractor
Contraction
Zero
Coefficient

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Hausdorff and packing measure for solenoids. / Rams, Michał; Simon, K.

In: Ergodic Theory and Dynamical Systems, Vol. 23, No. 1, 02.2003, p. 273-291.

Research output: Contribution to journalArticle

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