| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9516852 | Topology and its Applications | 2005 | 18 Pages |
Abstract
The Hastings-Levitov process HL(α) describes planar random compact subsets by means of random compositions of conformal maps. We prove the existence of the scaling limit of HL(0) and show that the limit sets are one-dimensional. We also give estimates for the dimension of HL(α) for 0<α⩽2, and discuss scaling limits of deterministic variants.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Steffen Rohde, Michel Zinsmeister,