Summary
Jointly continuous local times are constructed for Brownian motion on the Sierpinski carpet. A consequence is that the Brownian motion hits points. The method used is to analyze a sequence of eigenvalue problems.
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Research partially supported by NSF grant DMS 87-01073
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Barlow, M.T., Bass, R.F. Local times for Brownian motion on the Sierpinski carpet. Probab. Th. Rel. Fields 85, 91–104 (1990). https://doi.org/10.1007/BF01377631
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DOI: https://doi.org/10.1007/BF01377631