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@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, 2018, roč.~38, č.~8, s.~3145-3169. ISSN~0143-3857. Dostupné z: https://dx.doi.org/10.1017/etds.2017.3.
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