کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1864337 1037724 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The role of ergodicity and mixing in the central limit theorem for Casati–Prosen triangle map variables
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
The role of ergodicity and mixing in the central limit theorem for Casati–Prosen triangle map variables
چکیده انگلیسی

In this Letter we analyse the behaviour of the probability density function of the sum of N deterministic variables generated from the triangle map of Casati–Prosen. For the case in which the map is both ergodic and mixing the resulting probability density function quickly concurs with the Normal distribution. However, when the map is weakly chaotic, and fuzzily not mixing, the resulting probability density functions are described by power-laws. Moreover, contrarily to what it would be expected, as the number of added variables N increases the distance to Gaussian distribution increases. This behaviour goes against standard central limit theorem. By extrapolation of our finite size results we preview that in the limit of N   going to infinity the distribution has the same asymptotic decay as a Lorentzian (or a q=2q=2-Gaussian).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 373, Issue 17, 13 April 2009, Pages 1514–1518
نویسندگان
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