On Piecewise Affine Interval Maps with Countably Many Laps
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00189590" target="_blank" >RIV/68407700:21110/11:00189590 - isvavai.cz</a>
Alternative codes found
RIV/61388998:_____/11:00364559
Result on the web
<a href="http://dx.doi.org/10.3934/dcds.2011.31.753" target="_blank" >http://dx.doi.org/10.3934/dcds.2011.31.753</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2011.31.753" target="_blank" >10.3934/dcds.2011.31.753</a>
Alternative languages
Result language
angličtina
Original language name
On Piecewise Affine Interval Maps with Countably Many Laps
Original language description
We study a special conjugacy class F of continuous piecewise monotone interval maps: with countably many laps, which are locally eventually on to and have common topological entropy log 9. We show that F contains a piecewise affine map f(lambda) with a constant slope lambda if and only if lambda >= 9. Our result specifies the known fact that for piecewise affine interval leo maps with countably many pieces of monotonicity and a constant slope +/-lambda ,the topological (measure-theoretical) entropy is not determined by lambda.We also consider maps from the class F preserving the Lebesgue measure.We show that some of them have a knot point (a point x where Dini's derivatives satisfy D(+) f(x) = D(-) f(x) = infinity and D(+) f(x) = D(-) f(x) = -infinity)in its fixed point 1/2.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F09%2F0854" target="_blank" >GA201/09/0854: Dynamics of Iterative Systems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Continuous Dynamical Systems - Series A
ISSN
1078-0947
e-ISSN
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Volume of the periodical
31
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
753-762
UT code for WoS article
000295093400007
EID of the result in the Scopus database
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