On Hele-Shaw problems arising as scaling limits
Complex Variables
2009-08-14 v2 Probability
Abstract
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.
Cite
@article{arxiv.0907.3856,
title = {On Hele-Shaw problems arising as scaling limits},
author = {Pavel Etingof},
journal= {arXiv preprint arXiv:0907.3856},
year = {2009}
}
Comments
9 pages, latex