Wrapping Brownian motion and heat kernels II: symmetric spaces

Details Wrapping Brownian motion and heat kernels II: symmetric spaces Wrapping Brownian motion and heat kernels II: symmetric spaces

2010-05-26

arxiv.org/abs/1005.4747v1

Mathematics

Representation Theory

36 pages

Scientific paper

In this paper we extend our previous results on wrapping Brownian motion and
heat kernels onto compact Lie groups to various symmetric spaces, where a
global generalisation of Rouvi\`ere's formula and the $e$-function are
considered. Additionally, we extend some of our results to complex Lie groups,
and certain non-compact symmetric spaces.

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