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We study scaling limits of a family of planar random growth processes in which clusters grow by the successive aggregation of small particles.
A two-dimensional growth process
Murray Eden · 1961
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Distribution function inequalities for martingales
D. L. Burkholder · 1973
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Trigonometric series. Vol. I, II
A. Zygmund · 1979
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Diffusion-limited aggregation, a kinetic critical phenomenon
T. A. Witten and L. M. Sander · 1981
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Fractal dimension of dielectric breakdown
L. Niemeyer, L. Pietronero, and H. J. Wiesmann · 1984
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Boundary behaviour of conformal maps
Ch. Pommerenke · 1992
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Laplacian growth as one-dimensional turbulence
M. B. Hastings and L. S. Levitov · 1998
Cited alongside, same era.
Convergence of probability measures
Patrick Billingsley · 1999
Cited alongside, same era.
Aggregation in the plane and Loewner’s equation
L. Carleson and N. Makarov · 2001
Cited alongside, same era.
Some remarks on Laplacian growth
Steffen Rohde and Michel Zinsmeister · 2005
Cited alongside, same era.
Scaling limits of anisotropic Hastings-Levitov clusters
Fredrik Johansson Viklund, Alan Sola, and Amanda Turner · 2012
Cited alongside, same era.
Hastings-Levitov aggregation in the small-particle limit
James Norris and Amanda Turner · 2012
Later among the works it cites.
Small-particle limits in a regularized Laplacian random growth model
Fredrik Johansson Viklund, Alan Sola, and Amanda Turner · 2015
Later among the works it cites.
Fluctuation results for Hastings-Levitov planar growth
Vittoria Silvestri · 2017
Later among the works it cites.
One-dimensional scaling limits in a planar Laplacian random growth model
Alan Sola, Amanda Turner, and Fredrik Viklund · 2019
Closest in time.
Stability of regularized Hastings-Levitov aggregation in the subcritical regime
James Norris, Vittoria Silvestri, and Amanda Turner · 2021
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