BRADÍK, Jaroslav a Samuel Joshua ROTH. Typical Behaviour of Random Interval Homeomorphisms. Qualitative Theory of Dynamical Systems. Basel, Switzerland: Springer International Publishing, 2021, roč. 20, č. 3, s. "73-1"-"73-20", 20 s. ISSN 1575-5460. Dostupné z: https://dx.doi.org/10.1007/s12346-021-00509-2. |
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@article{54501, author = {Bradík, Jaroslav and Roth, Samuel Joshua}, article_location = {Basel, Switzerland}, article_number = {3}, doi = {http://dx.doi.org/10.1007/s12346-021-00509-2}, keywords = {Random dynamical systems; Interval homeomorphisms; Singular stationary measures; Residual set}, language = {eng}, issn = {1575-5460}, journal = {Qualitative Theory of Dynamical Systems}, title = {Typical Behaviour of Random Interval Homeomorphisms}, url = {https://link.springer.com/article/10.1007%2Fs12346-021-00509-2}, volume = {20}, year = {2021} }
TY - JOUR ID - 54501 AU - Bradík, Jaroslav - Roth, Samuel Joshua PY - 2021 TI - Typical Behaviour of Random Interval Homeomorphisms JF - Qualitative Theory of Dynamical Systems VL - 20 IS - 3 SP - "73-1"-"73-20" EP - "73-1"-"73-20" PB - Springer International Publishing SN - 15755460 KW - Random dynamical systems KW - Interval homeomorphisms KW - Singular stationary measures KW - Residual set UR - https://link.springer.com/article/10.1007%2Fs12346-021-00509-2 N2 - We consider the typical behaviour of random dynamical systems of order-preserving interval homeomorphisms with a positive Lyapunov exponent condition at the endpoints. Our study removes any requirement for continuous differentiability save the existence of finite derivatives of the homeomorphisms at the endpoints of the interval. We construct a suitable Baire space structure for this class of systems. Generically within this Baire space, we show that the stationary measure is singular with respect to the Lebesgue measure, but has full support on [0, 1]. This provides an answer to a question raised by Alseda and Misiurewicz. ER -
BRADÍK, Jaroslav a Samuel Joshua ROTH. Typical Behaviour of Random Interval Homeomorphisms. \textit{Qualitative Theory of Dynamical Systems}. Basel, Switzerland: Springer International Publishing, 2021, roč.~20, č.~3, s.~''73-1''-''73-20'', 20 s. ISSN~1575-5460. Dostupné z: https://dx.doi.org/10.1007/s12346-021-00509-2.
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