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A two-dimensional random crystalline algorithm for Gauss curvature flow

Part of: Markov processes Geometric probability and stochastic geometry

Published online by Cambridge University Press:  01 July 2016

H. Ishii  and
T. Mikami
H. Ishii*
Affiliation:
Waseda University
T. Mikami*
Affiliation:
Hokkaido University
*
∗ Postal address: Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishiwaseda, Shinjyuku-ku, Tokyo 169-8050, Japan.
∗∗ Postal address: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. Email address: [email protected]
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Abstract

We propose and study a random crystalline algorithm (a discrete approximation) of the Gauss curvature flow of smooth simple closed convex curves in ℝ2 as a stepping stone to the full understanding of such phenomena as the wearing process of stones on a beach.

Keywords

Random crystalline algorithmGauss curvature flowclosed curve

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 60J75: Jump processes
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 34 , Issue 3 , September 2002 , pp. 491 - 504
Copyright
Copyright © Applied Probability Trust 2002 

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References

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