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, 6243-6250
TY - 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 . .
