Remarks on scaling a model of Witten-Sander type |
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| Authors: | Peter March |
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| Institution: | (1) Department of Mathematics, Ohio State University, 43210 Columbus, Ohio |
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| Abstract: | We try to prove rigorously that the perimeter of the large Witten-Sander cluster does not scale as the square root of its area, by making a forced comparison with the ill-posed Hele-Shaw problem of fluid dynamics. The attempt is not completely successful; nevertheless some interesting consequences of the comparison are derived. |
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| Keywords: | Diffusion-limited aggregation harmonic measure Hele-Shaw problem martingale problem |
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