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Stochastic processes on non-Archimedean spaces. III. Stochastic processes on totally disconnected topological groups

S. V. Ludkovsky
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Abstract

Stochastic processes on totally disconnected topological groups are investigated. In particular they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces. Theorems about a quasi-invariance and a pseudo-differentiability of transition measures are proved. Transition measures are used for the construction of strongly continuous representations including irreducible of these groups. In addition stochastic processes on general Banach-Lie groups, loop monoids, loop spaces and path spaces of manifolds on Banach spaces over non-Archimedean local fields also are investigated.

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S. V. Ludkovsky. 2001-06-15. Stochastic processes on non-Archimedean spaces. III. Stochastic processes on totally disconnected topological groups. https://arxiv.org/abs/math/0106132

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