FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1091-1105

**Stochastic processes on groups of diffeomorphisms and loops of real,
complex and non-Archimedean manifolds**

S. V. Ludkovsky

Abstract

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The article is devoted to stochastic processes on infinite
dimensional topological groups that do not satisfy the
Campbell--Hausdorff formula even locally.
In the cases of real and complex manifolds the classical
stochastic analysis is used, but in the non-Archimedean case
the corresponding stochastic antiderivations and antiderivational
equations are developed and investigated.
For real-valued transition probabilities of random processes
the corresponding regular strongly continuous unitary
representations are constructed and their topological irreducibility
is analysed.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k01/k014/k01408h.htm

Last modified: April 17, 2002