ON ENTROPY OF GRAPH MAPS THAT GIVE HEREDITARILY INDECOMPOSABLE INVERSE LIMITS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801AAG" target="_blank" >RIV/61988987:17610/17:A1801AAG - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s10884-015-9460-z" target="_blank" >http://link.springer.com/article/10.1007/s10884-015-9460-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10884-015-9460-z" target="_blank" >10.1007/s10884-015-9460-z</a>

Result language
angličtina
Original language name
ON ENTROPY OF GRAPH MAPS THAT GIVE HEREDITARILY INDECOMPOSABLE INVERSE LIMITS
Original language description
We prove that if f is a map on a graph G such that the corresponding inverse limit is hereditarily indecomposable, then the entropy of f is either zero or infinity. By independent methods, this extends a result of Mouron for interval maps, and combined with a result of Ito shows that certain dynamical systems on compact finite-dimensional Riemannian manifolds must either have zero entropy on their invariant sets or be non-differentiable.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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