Submitted manuscript, 578 KB, PDF document
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Planar aggregation and the Brownian web. / Turner, Amanda.
Proceedings of the 16th European Young Statisticians Meeting. 2009. p. 93-97.Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
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TY - GEN
T1 - Planar aggregation and the Brownian web
AU - Turner, Amanda
PY - 2009
Y1 - 2009
N2 - Diffusion limited aggregation (DLA) is a random growth model which was originally introduced in 1981 by Witten and Sander. This model is prevalent in nature and has many applications in the physical sciences as well as industrial processes. We consider a simplified version of DLA known as the Hastings-Levitov HL(0) model, and show that under certain scaling conditions this model gives rise to a limit object known as the Brownian web.
AB - Diffusion limited aggregation (DLA) is a random growth model which was originally introduced in 1981 by Witten and Sander. This model is prevalent in nature and has many applications in the physical sciences as well as industrial processes. We consider a simplified version of DLA known as the Hastings-Levitov HL(0) model, and show that under certain scaling conditions this model gives rise to a limit object known as the Brownian web.
KW - Brownian web
KW - random growth model
KW - diffusion-limited aggregation
KW - conformal mapping
KW - stochastic flow
M3 - Conference contribution/Paper
SP - 93
EP - 97
BT - Proceedings of the 16th European Young Statisticians Meeting
ER -