dc.contributor.author |
Alsedà i Soler, Lluís |
dc.contributor.author |
Misiurewicz, Michal |
dc.date |
2015 |
dc.identifier |
https://ddd.uab.cat/record/145314 |
dc.identifier |
urn:10.3934/dcdsb.2015.20.3403 |
dc.identifier |
urn:oai:ddd.uab.cat:145314 |
dc.identifier |
urn:gsduab:4107 |
dc.identifier |
urn:scopus_id:84942474686 |
dc.identifier |
urn:wos_id:000362748900007 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/9c72ae8d-913c-4e7e-80cf-947ec838ece0 |
dc.identifier |
urn:articleid:1553524Xv20n10p2043 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Educación y Ciencia MTM2008-01486 |
dc.relation |
Ministerio de Educación y Ciencia MTM2011-26995-C02-01 |
dc.relation |
Discrete and continuous dynamical systems. Series B ; Vol. 20 Núm. 10 (2015), p. 2043-2413 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Interval Markov maps |
dc.subject |
Measure of maximal entropy |
dc.subject |
Piecewise monotonotone maps |
dc.subject |
Semiconjugacy to a map of constant slope |
dc.subject |
Topological entropy |
dc.title |
Semiconjugacy to a map of a constant slope |
dc.type |
Article |
dc.description.abstract |
Preprint |
dc.description.abstract |
It is well known that a continuous piecewise monotone interval map with positive topological entropy is semiconjugate to a map of a constant slope and the same entropy, and if it is additionally transitive then this semiconjugacy is actually a conjugacy. We generalize this result to piecewise continuous piecewise monotone interval maps, and as a consequence, get it also for piecewise monotone graph maps. We show that assigning to a continuous transitive piecewise monotone map of positive entropy a map of constant slope conjugate to it defines an operator, and show that this operator is not continuous. |