The central limit theorem for monotone convolution with applications to free Levy processes and infinite ergodic theory
نویسندگان
چکیده
منابع مشابه
Cumulants of a convolution and applications to monotone probability theory
In non-commutative probability theory, cumulants and their appropriate generating function are defined when a notion of independence is given [17, 18, 19]. They are useful especially in the central limit theorem and Poisson’s law of small numbers. We denote by any one of classical, free and boolean convolutions. We denote by Dλ the dilation operator defined by (Dλμ)(B) = μ(λ B) for any Borel se...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2014
ISSN: 0022-2518
DOI: 10.1512/iumj.2014.63.5229