Mod-Poisson Convergence in Probability and Number Theory
نویسندگان
چکیده
منابع مشابه
Mod-poisson Convergence in Probability and Number Theory
Building on earlier work introducing the notion of “modGaussian” convergence of sequences of random variables, which arises naturally in Random Matrix Theory and number theory, we discuss the analogue notion of “mod-Poisson” convergence. We show in particular how it occurs naturally in analytic number theory in the classical Erdős-Kac Theorem. In fact, this case reveals deep connections and ana...
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چکیده ندارد.
Examples of Mod-cauchy Convergence
After mod-Gaussian [1] and mod-Poisson [3] convergence, it is natural to look for examples of similar limiting behavior involving other types of standard random variables. This note reports on three occurences of either mod-Cauchy convergence or of a slightly weaker notion. Two are related to arithmetics, and are re-interpretations of results of Vardi [6] and of Sarnak [4], and one is purely pr...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2010
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnq019