Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

S. V. Ludkovsky

Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

Group Theory 2007-05-23 v2

Authors: S. V. Ludkovsky

Abstract

Stochastic processes are considered on free loop spaces, geometric loop and diffeomorphism groups of real and complex manifolds. They are used for investigations of Wiener differentiable quasi-invariant measures on such groups relative to dense subgroups. There are considered finite-dimensional and also infinite-dimensional manifolds. Such measures are used for the investigation of associated unitary representations of these groups.

Keywords

stochastic processes free loop spaces geometric loop groups diffeomorphism groups quasi-invariant measures unitary representations

Cite

@article{arxiv.math/0102222,
  title  = {Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations},
  author = {S. V. Ludkovsky},
  journal= {arXiv preprint arXiv:math/0102222},
  year   = {2007}
}

Comments

Latex, 52 pages, detailed version, some results are shortly ann ounced in Fundam. i Prikl. Math. V. 7, N 4, 1091-1105 (2001)

Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations

Abstract

Keywords

Cite

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