Summary
The author calculated isoperimetric constants of then-dimensional pre Sierpinski carpetY n . As an application, he obtained the following estimate of the Neumann heat kernelp n (t, x, y) onY n ;
where
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Osada, H. Isoperimetric constants and estimates of heat kernels of pre Sierpinski carpets. Probab. Th. Rel. Fields 86, 469–490 (1990). https://doi.org/10.1007/BF01198170
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DOI: https://doi.org/10.1007/BF01198170