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On dynamics of graph maps with zero topological entropy
We explore the dynamics of graph maps with zero topological entropy. It is shown that a continuous map f on a topological graph G has zero topological entropy disjointness conjecture is t...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On Dynamics of Triangular Maps of the Square with Zero Topological Entropy
It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li–Yorke scrambled triples. In this paper we answe...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Graph maps with zero topological entropy and sequence entropy pairs
We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same if it is an IN-pair if and only if it is an IT-pair. This comple...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Counterexamples to Sharkovsky's conjectures concerning maps with zero topological entropy
In a series of paper s and books we find that for any f in C(I,I), the properties "the topological entropy is zero" and "Per (f) is a G_delta set" are equivalent. We can show that this statement is false. This disproves a c...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Erratum to: entropy of Turing machines with moving head
We prove that the topological entropy of a Turing machine with moving head is zero.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Quasi-graphs, zero entropy and measures with discrete spectrum
-graph map with zero topological entropy has discrete spectrum. Additionally, we obtain an analog of Llibre-Misiurewicz's result relating positive topological entropy with existence of topological...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Topological Entropy on Zero-dimensional Spaces
Not available...
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The problem of classification of triangular maps with zero topological entropy
In 1989 A.N. Sharkovsky stated the problem of classification triangular maps of the square according to the properties which are equivalent to zero topological entropy, in the one-dimensional case. This paper contains the f...
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A zero topological entropy map with recurrent points not $Fsb sigma$
We show that there is a continuous map of the interval of type $2^infty$ for which the set of recurrent points is not an $F_sigma$ set. We provide also another application of this map. The full version of the result can be found in P. Šindelářová, A ...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
The Topological Entropy of Banach Spaces
topological entropy. Also, for any t [0,infinity], we construct a (one-dimensional) Banach space in which any non-zero function has topological entropy equal to t.We investigate some properties of (univer...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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