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May 2007 Modeling minimal foliated spaces with positive entropy
Andrzej BI\'S, Hiromichi NAKAYAMA, Pawe\l WALCZAK
Hokkaido Math. J. 36(2): 283-310 (May 2007). DOI: 10.14492/hokmj/1277472805

Abstract

Using methods and results of decomposition theory we construct minimal actions of groups of homeomorphisms of some classical fractals (the Sierpi\'nski carpet and its generalizations, and the Menger curve) with positive entropy. Suspending these group actions we get minimal foliated spaces which have positive geometric entropy and are modelled on these fractals.

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Andrzej BI\'S. Hiromichi NAKAYAMA. Pawe\l WALCZAK. "Modeling minimal foliated spaces with positive entropy." Hokkaido Math. J. 36 (2) 283 - 310, May 2007. https://doi.org/10.14492/hokmj/1277472805

Information

Published: May 2007
First available in Project Euclid: 25 June 2010

zbMATH: 1137.57028
MathSciNet: MR2347427
Digital Object Identifier: 10.14492/hokmj/1277472805

Subjects:
Primary: 37C85
Secondary: 57R30

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 2 • May 2007
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