Mixing properties in expanding Lorenz maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA20021YI" target="_blank" >RIV/61988987:17610/19:A20021YI - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aim.2018.11.015" target="_blank" >https://doi.org/10.1016/j.aim.2018.11.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2018.11.015" target="_blank" >10.1016/j.aim.2018.11.015</a>

Result language
angličtina
Original language name
Mixing properties in expanding Lorenz maps
Original language description
Let Tf : [0, 1] → [0, 1] be an expanding Lorenz map, this means Tfx := f(x) (mod 1) where f : [0, 1] → [0, 2] is a strictly increasing map satisfying inf f 0 > 1. Then Tf has two pieces of monotonicity. In this paper, suficient conditions when Tf is topologically mixing are provided. For the special case f(x) = βx + α with β ≥ √3 2 a full characterization of parameters (β, α) leading to mixing is given. Furthermore relations between renormalizability and Tf being locally eventually onto are considered, and some gaps in classical results on the dynamics of Lorenz maps are corrected.
Czech name
—
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
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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