Convergence of rare event point processes to the Poisson process for planar billiards
نویسندگان
چکیده
منابع مشابه
Convergence of Rare Events Point Processes to the Poisson for Billiards
We show that for planar dispersing billiards the return times distribution is in the limit Poisson for metric balls almost everywhere w.r.t. the SRB measure. Since the Poincaré return map is piecewise smooth but becomes singular at the boundaries of the partition elements, recent results on the limiting distribution of return times cannot be applied as they require the maps to have bounded seco...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2014
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/27/7/1669