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Minimal F2-flows

Part of: Locally compact groups and their algebras Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Daniel Berend
Daniel Berend
Affiliation:
Department of MathematicsUniversity of California Los Angeles, California 90024, U.S.A.
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Abstract

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Let σ be an ergodic endomorphism of the r–dimensional torus and Π a semigroup generated by two affine transformations lying above σ. We show that the flow defined by Π admits minimal sets of positive Hausdorff dimension and we give necessary and sufficient conditions for this flow to be minimal.

MSC classification

Secondary: 22D40: Ergodic theory on groups 54H20: Topological dynamics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 2 , October 1985 , pp. 187 - 193
Copyright
Copyright © Australian Mathematical Society 1985

References

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