On the structure of alpha-limit sets of backward trajectories for graph maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302I3E" target="_blank" >RIV/61988987:17610/22:A2302I3E - isvavai.cz</a>
Result on the web
<a href="https://www.aimsciences.org/article/doi/10.3934/dcds.2021159" target="_blank" >https://www.aimsciences.org/article/doi/10.3934/dcds.2021159</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2021159" target="_blank" >10.3934/dcds.2021159</a>

Result language
angličtina
Original language name
On the structure of alpha-limit sets of backward trajectories for graph maps
Original language description
In the paper we study what sets can be obtained as alpha-limit sets of backward trajectories in graph maps. We show that in the case of mixing maps, all those alpha-limit sets are omega-limit sets and for all but finitely many points x, we can obtain every omega-limits set as the alpha-limit set of a backward trajectory starting in x. For zero entropy maps, every alpha-limit set of a backward trajectory is a minimal set. In the case of maps with positive entropy, we obtain a partial characterization which is very close to complete picture of the possible situations.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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