Wrapping Brownian Motion and Heat Kernels II: Symmetric Spaces
Journal of Lie theory, Tome 24 (2014) no. 3, pp. 761-79
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 Rouvière'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.
Classification :
43A80, 22E30, 58J65, 53C35
Mots-clés : Symmetric spaces, complex Lie group, Brownian motion, wrapping map
Mots-clés : Symmetric spaces, complex Lie group, Brownian motion, wrapping map
@article{JLT_2014_24_3_JLT_2014_24_3_a8,
author = {D. G. Maher},
title = {Wrapping {Brownian} {Motion} and {Heat} {Kernels} {II:} {Symmetric} {Spaces}},
journal = {Journal of Lie theory},
pages = {761--79},
year = {2014},
volume = {24},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a8/}
}
D. G. Maher. Wrapping Brownian Motion and Heat Kernels II: Symmetric Spaces. Journal of Lie theory, Tome 24 (2014) no. 3, pp. 761-79. http://geodesic.mathdoc.fr/item/JLT_2014_24_3_JLT_2014_24_3_a8/