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Absorbing cantor sets and trapping structures

Published online by Cambridge University Press:  19 September 2008

Stewart D. Johnson
Stewart D. Johnson
Affiliation:
Department of Mathematics, Williams College, Williamstown, MA 02167, USA
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Abstract

It it shown that a minimal attractor for a continuous, lebesgue non-singular transformation on an interval with no wandering intervals is either a periodic orbit, a finite collection of intervals, a simply attracting cantor set, or an absorbing cantor set.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 4 , December 1991 , pp. 731 - 736
Copyright
Copyright © Cambridge University Press 1991

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References

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