caa a22 4500 445830719 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10255-011-0078-6 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0078-6 Zhang Hong-Kun Department of Mathematics & Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut Estimates for correlations in billiards with large arcs [Elektronische Daten] [Hong-Kun Zhang] Bunimovich billiards are ergodic and mixing. However, if the billiard table contains very large arcs on its boundary then if there exist trajectories experience infinitely many collisions in the vicinity of periodic trajectories on the large arc. The hyperbolicity is nonuniform and the mixing rate is very slow. The corresponding dynamics are intermittent between regular and chaotic, which makes them particularly interesting in physical studies. The study of mixing rates in intermittent chaotic systems is more difficult than that of truly chaotic ones, and the resulting estimates may depend on delicate details of the dynamics in the traps. We present a rigorous analysis of the corresponding singularities and correlations to certain class of billiards and show the mixing rate is of order 1/n. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 billiards nationallicence decay of correlations nationallicence mixing rates nationallicence Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 381-392 0168-9673 27:3<381 2011 27 10255 https://doi.org/10.1007/s10255-011-0078-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0078-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhang Hong-Kun Department of Mathematics & Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 381-392 0168-9673 27:3<381 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer