Proof of a General Non-Commutative Central Limit Theorem Using a Feynman

Proof of a General Non-Commutative Central Limit Theorem Using a Feynman - Kac Representation

T.C. Dorlas

2001, v.7, Issue 2, 225-250

ABSTRACT

The generalized non-commutative limit theorem conjectured in a preceding paper is proved using a Feynman - Kac representation analogous to that in an earlier paper by the author.

Keywords: central limit theorem,creation and annihilation operators,Gaussian measures,Feynman - Kac formula

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
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Markov Processes And Related Fields

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T.C. Dorlas