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Wrapping Brownian motion and heat kernels II: symmetric spaces (1005.4747v1)

Published 26 May 2010 in math.RT

Abstract: 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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