Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
EXOTIC BROWNIAN MOTIONS
Hirofumi OSADA
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Keywords: diffusion, Sierpinski carpet, fractal, Dirichlet form
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2007 Volume 61 Issue 1 Pages 233-257

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Abstract
We develop a method to construct diffusions on singular sets. Our method can be applied to various fractal sets including Sierpinski carpets, the Sierpinski gasket and the Menger sponge.
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© 2007 by Faculty of Mathematics, Kyushu University
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Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics

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