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Can one always lower topological entropy?

Published online by Cambridge University Press:  19 September 2008

M. Shub  and
B. Weiss
M. Shub
Affiliation:
Department of Mathematical Sciences, IBM Research Division, T.J. Watson Research Center, PO Box 218, Yorktown Heights, NY 10598, USA
B. Weiss
Affiliation:
Department of Mathematics, Hebrew University, Jerusalem, Israel
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Abstract

We consider the problem of when does a positive entropy topological system have a continuous factor with strictly smaller entropy. In many cases it is shown that such small entropy factors exist. On the other hand, classes of examples are given where differentiable factors must preserve some of the original entropy.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991 , pp. 535 - 546
Copyright
Copyright © Cambridge University Press 1991

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References

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