On Hele-Shaw problems arising as scaling limits

Details On Hele-Shaw problems arising as scaling limits On Hele-Shaw problems arising as scaling limits

2009-07-22

arxiv.org/abs/0907.3856v2

Mathematics

Complex Variables

9 pages, latex

Scientific paper

We discuss conjectural scaling limits of discrete 2-dimensional aggregation models conditioned on a semi-axis considered by Levine and Peres in arXiv:0712.3378. These are certain problems about Hele-Show flows. We study moment properties of their solutions, and solve some of them using conformal mappings. In particular, we predict the exact formula for the computer-generated shape on the left side of Fig. 4 in arXiv:0712.3378.

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