On distributional spectrum of piecewise monotonic maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000133" target="_blank" >RIV/47813059:19610/23:A0000133 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00010-022-00913-2" target="_blank" >https://link.springer.com/article/10.1007/s00010-022-00913-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00010-022-00913-2" target="_blank" >10.1007/s00010-022-00913-2</a>

Result language
angličtina
Original language name
On distributional spectrum of piecewise monotonic maps
Original language description
We study a certain class of piecewise monotonic maps of an interval. These maps are strictly monotone on finite interval partitions, satisfy the Markov condition, and have generator property. We show that for a function from this class distributional chaos is always present and we study its basic properties. The main result states that the distributional spectrum, as well as the weak spectrum, is always finite. This is a generalization of a similar result for continuous maps on the interval, circle, and tree. An example is given showing that conditions on the mentioned class can not be weakened.
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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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