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patt-sol1994★ 12 cited
Observation of Conservations Laws in Diffusion Limited Aggregation
Mark B. Mineev-Weinstein, Ronnie Mainieri
We repeat the numerical experiments for diffusion limited aggregation (DLA) and show that there is a potentially infinite set of conserved quantities for the long time asymptotics.…
patt-sol1993★ 8 cited
Multidimensional Pattern Formation Has an Infinite Number of Constants of Motion
Mark B. Mineev--Weinstein
Extending our previous work on 2D growth for the Laplace equation we study here {\it multidimensional} growth for {\it arbitrary elliptic} equations, describing inhomogeneous and a…