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

View as HTML
View as gif image
View as LaTeX source

```
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/k01408t.htm.

Last modified: April 17, 2002