On Hele-Shaw problems arising as scaling limits - Mathematics > Complex VariablesReport as inadecuate




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



Author: Pavel Etingof

Source: https://arxiv.org/



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