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# Topological entropy

Known as: Entropy (disambiguation)
In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity… Expand
Wikipedia

## Papers overview

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Highly Cited
2011
Highly Cited
2011
Using methods of entropy in ergodic theory, we prove as in the title.
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Highly Cited
2008
Highly Cited
2008
• Scholarpedia
• 2008
• Corpus ID: 42472030
1. Definitions and general properties. Let X be a compact topological space. Definition 1. For any open cover 31 of X let N… Expand
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Highly Cited
2007
Highly Cited
2007
• 2007
• Corpus ID: 15211038
Let $(X,d,T)$ be a dynamical system, where $(X,d)$ is a compact metric space and $T:X\rightarrow X$ a continuous map. We… Expand
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Highly Cited
2006
Highly Cited
2006
This paper extends the concept of topological to the case of uncertain dynamical systems. We address problems of observability… Expand
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Highly Cited
2004
Highly Cited
2004
• IEEE Transactions on Automatic Control
• 2004
• Corpus ID: 9424397
It is well known in the field of dynamical systems that entropy can be defined rigorously for completely deterministic open-loop… Expand
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Highly Cited
2001
Highly Cited
2001
• 2001
• Corpus ID: 53063732
For a continuous transformation f of a compact metric space (X,d) and any continuous function \phi on X we consider sets of the… Expand
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Highly Cited
2000
Highly Cited
2000
• 2000
• Corpus ID: 12795029
For subshifts of finite type, conformal repellers, and conformal horseshoes, we prove that the set of points where the pointwise… Expand
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Highly Cited
2000
Highly Cited
2000
• 2000
• Corpus ID: 15772850
In this paper we present some results and applications of a new invariant for dynamical systems that can be viewed as a dynamical… Expand
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Highly Cited
1971
Highly Cited
1971
Topological entropy há(T) is defined for a uniformly continuous map on a metric space. General statements are proved about this… Expand
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Highly Cited
1969
Highly Cited
1969
Let T be a homeomorphism from a compact space A onto itself and let p be a P-invariant probability measure on the Borel sets of A… Expand
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