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Theory of Diffusion Controlled Growth
R. C. Ball, E. Somfai
We expand upon a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions [R. C. Ball and E. Somfai, Phys. Rev. Lett…
A sufficient condition for a finite-time singularity of the 3d Euler Equation
Xinyu He
A sufficient condition is derived for a finite-time singularity of the 3d incompressible Euler equations, making appropriate assumptions on eigenvalues of the Hessian of pres…
Limits of quasifuchsian groups with small bending
C. Series
We study limits of quasifuchsian groups for which the bending measures on the convex hull boundary tend to zero, giving necessary and sufficient conditions for the limit group to e…
Pleating invariants for punctured torus groups
L. Keen, C. Series
In this paper we give a complete description of the space $ \QF $ of quasifuchsian punctured torus groups in terms of what we call {\em pleating invariants}. These are natural inva…
Obstructions to trivializing a knot
Joan S. Birman, John A. Moody
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of applications to the study of knots and links. It was proved by the first author an…
Theory of Diffusion Controlled Growth
R. C. Ball, E. Somfai
We present a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions. Key steps are understanding how these models…