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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

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

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

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

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

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

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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