Return time entropies for a class of circle homeomorphisms
Abstract
Poincar ́e recurrence for a class of circle maps is used to study the properties
of the corresponding invariant measures. In the subcritical case, when the map
is a diffeomorphism, the return time measure is smooth, and in the critical
case, when the map is only a homeomorphism, the measure is only continuous.
Furthermore, in the considered class of critical maps the behaviour of the return
time entropy depends only on the tail in the continued fraction expansion of
the rotation number.
Source:
Journal of Physics A: Mathematical and General, 02-06-2004, 37, 24, 6243-6250Publisher:
- IOP Publishing
DOI: 10.1088/0305-4470/37/24/003
ISSN: 0305-4470
WoS: 000222522600007
Scopus: 2-s2.0-3042674813
Collections
Institution/Community
PharmacyTY - JOUR AU - Burić, Nikola AU - Todorović, Kristina PY - 2004-06-02 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4721 AB - Poincar ́e recurrence for a class of circle maps is used to study the properties of the corresponding invariant measures. In the subcritical case, when the map is a diffeomorphism, the return time measure is smooth, and in the critical case, when the map is only a homeomorphism, the measure is only continuous. Furthermore, in the considered class of critical maps the behaviour of the return time entropy depends only on the tail in the continued fraction expansion of the rotation number. PB - IOP Publishing T2 - Journal of Physics A: Mathematical and General T1 - Return time entropies for a class of circle homeomorphisms VL - 37 IS - 24 SP - 6243 EP - 6250 DO - 10.1088/0305-4470/37/24/003 ER -
@article{ author = "Burić, Nikola and Todorović, Kristina", year = "2004-06-02", abstract = "Poincar ́e recurrence for a class of circle maps is used to study the properties of the corresponding invariant measures. In the subcritical case, when the map is a diffeomorphism, the return time measure is smooth, and in the critical case, when the map is only a homeomorphism, the measure is only continuous. Furthermore, in the considered class of critical maps the behaviour of the return time entropy depends only on the tail in the continued fraction expansion of the rotation number.", publisher = "IOP Publishing", journal = "Journal of Physics A: Mathematical and General", title = "Return time entropies for a class of circle homeomorphisms", volume = "37", number = "24", pages = "6243-6250", doi = "10.1088/0305-4470/37/24/003" }
Burić, N.,& Todorović, K.. (2004-06-02). Return time entropies for a class of circle homeomorphisms. in Journal of Physics A: Mathematical and General IOP Publishing., 37(24), 6243-6250. https://doi.org/10.1088/0305-4470/37/24/003
Burić N, Todorović K. Return time entropies for a class of circle homeomorphisms. in Journal of Physics A: Mathematical and General. 2004;37(24):6243-6250. doi:10.1088/0305-4470/37/24/003 .
Burić, Nikola, Todorović, Kristina, "Return time entropies for a class of circle homeomorphisms" in Journal of Physics A: Mathematical and General, 37, no. 24 (2004-06-02):6243-6250, https://doi.org/10.1088/0305-4470/37/24/003 . .