Title of article
Some remarks on Laplacian growth
Author/Authors
Rohde، نويسنده , , Steffen and Zinsmeister، نويسنده , , Michel، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2005
Pages
18
From page
26
To page
43
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.
Keywords
Hastings–Levitov , DLA , Laplacian growth , Random composition , Random conformal map , Hele-Shaw
Journal title
Topology and its Applications
Serial Year
2005
Journal title
Topology and its Applications
Record number
1577424
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