Constant slope maps on the extended real line

J 2018

Constant slope maps on the extended real line

ROTH, Samuel joshua and Michal MISIUREWICZ

Basic information

Original name

Constant slope maps on the extended real line

Authors

ROTH, Samuel joshua and Michal MISIUREWICZ

Edition

Ergodic Theory and Dynamical Systems, New York, Cambridge University Press, 2018, 0143-3857

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

Ergodic Theory and Dynamical Systems

Impact factor

Impact factor: 0.940

Marked to be transferred to RIV

Yes

RIV identification code

RIV/47813059:19610/18:A0000027

Organization unit

Mathematical Institute in Opava

Keywords (in Czech)

intervalová zobrazení; po částech monotónní zobrazení; konstantní směrnice; topologická entropie

Keywords in English

interval maps; piecewise monotone maps; constant slope; topological entropy

Abstract

ORIG CZ

In the original language

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).

In Czech

Pro tranzitivní po částech monotónní Markovova intervalová zobrazení (se spočetně mnoha částmi monotónnosti) se zabýváme otázkou existence k nim konjugovaných zobrazení s konstantní směrnicí. Odpověď se liší v závislosti na tom, zda je dané zobrazení spojité nebo pouze po částech spojité, zda je nebo není mixující, jakou směrnici uvažujeme a zda je konjugované zobrazení definováno na ohraničeném intervalu, na poloose nebo na celé reálné ose (včetně obou nekonečen).

Cite

ROTH, Samuel joshua and Michal MISIUREWICZ. Constant slope maps on the extended real line. Ergodic Theory and Dynamical Systems. New York: Cambridge University Press, 2018, vol. 38, No 8, p. 3145-3169. ISSN 0143-3857. Available from: https://doi.org/10.1017/etds.2017.3.

@article{30273,
   author = {Roth, Samuel joshua and Misiurewicz, Michal},
   article_location = {New York},
   article_number = {8},
   doi = {https://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 and Michal MISIUREWICZ. Constant slope maps on the extended real line. \textit{Ergodic Theory and Dynamical Systems}. New York: Cambridge University Press, 2018, vol.~38, No~8, p.~3145-3169. ISSN~0143-3857. Available from: https://doi.org/10.1017/etds.2017.3.

Přehled o publikaci