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- W2968540902 abstract "Planar random growth processes occur widely in the physical world. Examples include diffusion-limited aggregation (DLA) for mineral deposition and the Eden model for biological cell growth. One of the curious features of these models is that although the models are constructed in an isotropic way, scaling limits appear to be anisotropic. In this talk, we construct a family of models in which randomly growing clusters can be represented as compositions of conformal mappings. We are able to show rigorously that for certain parameter choices, the scaling limits are anisotropic and we obtain shape theorems in this case. This contrasts with earlier work on related growth models in which the scaling limits are shown to be growing disks." @default.
- W2968540902 created "2019-08-22" @default.
- W2968540902 creator A5041232919 @default.
- W2968540902 date "2019-01-04" @default.
- W2968540902 modified "2023-09-26" @default.
- W2968540902 title "Singular scaling limits in a planar random growth model" @default.
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- W2968540902 hasPublicationYear "2019" @default.
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