@article{30273,
   author = {Roth, Samuel joshua and Misiurewicz, Michal},
   article_location = {New York},
   article_number = {8},
   doi = {http://dx.doi.org/10.1017/etds.2017.3},
   keywords = {interval maps; piecewise monotone maps; constant slope; topological entropy},
   language = {eng},
   issn = {0143-3857},
   journal = {Ergodic Theory and Dynamical Systems},
   title = {Constant slope maps on the extended real line},
   url = {https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/constant-slope-maps-on-the-extended-real-line/32F7B7F910BC1A8DB2F7DD3CEC081D41},
   volume = {38},
   year = {2018}
}

TY  - JOUR
ID  - 30273
AU  - Roth, Samuel joshua - Misiurewicz, Michal
PY  - 2018
TI  - Constant slope maps on the extended real line
JF  - Ergodic Theory and Dynamical Systems
VL  - 38
IS  - 8
SP  - 3145-3169
EP  - 3145-3169
PB  - Cambridge University Press
SN  - 01433857
KW  - interval maps
KW  - piecewise monotone maps
KW  - constant slope
KW  - topological entropy
UR  - https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/constant-slope-maps-on-the-extended-real-line/32F7B7F910BC1A8DB2F7DD3CEC081D41
L2  - https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/constant-slope-maps-on-the-extended-real-line/32F7B7F910BC1A8DB2F7DD3CEC081D41
N2  - For a transitive countably piecewise monotone Markov interval map we consider the question of whether there exists a conjugate map of constant slope. The answer varies depending on whether the map is continuous or only piecewise continuous, whether it is mixing or not, what slope we consider and whether the conjugate map is defined on a bounded interval, half-line or the whole real line (with the infinities included).
ER  - 

ROTH, Samuel joshua a Michal MISIUREWICZ. Constant slope maps on the extended real line. \textit{Ergodic Theory and Dynamical Systems}. New York: Cambridge University Press, roč.~38, č.~8, s.~3145-3169. ISSN~0143-3857. doi:10.1017/etds.2017.3. 2018.