Aggregation in the Plane and Loewner's Equation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2001-02

AUTHORS

L. Carleson, N. Makarov

ABSTRACT

: We study an aggregation process which can be viewed as a deterministic analogue of the DLA model in the plane, or as a regularized version of the Hele-Shaw problem. The process is defined in terms of the Loewner differential equation. Using complex analytic methods, we establish a Kesten-type estimate for the growth of the cluster. We also indicate a real-variable approach based on a certain martingale structure in the phase space of the inverse Loewner chain. More... »

PAGES

583-607

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002200000340

DOI

http://dx.doi.org/10.1007/s002200000340

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032418742


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