Abstract
We define a natural continuous diffusion process on an infinite, compact, metrically homogeneous, ultrametric space, and we compute the associated kernel. Spherical functions on the group of isometries are used as the main tool for the computation of the kernel.
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© 1994 Springer Science+Business Media Dordrecht
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Figà-Talamanca, A. (1994). Diffusion on Compact Ultrametric Spaces. In: Tanner, E.A., Wilson, R. (eds) Noncompact Lie Groups and Some of Their Applications. NATO ASI Series, vol 429. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1078-5_8
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DOI: https://doi.org/10.1007/978-94-011-1078-5_8
Publisher Name: Springer, Dordrecht
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