9 citations · 51 across the 13 of their papers we have counts for
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cond-mat.stat-mech2016★ 6 cited
Statistical mechanics of stochastic growth phenomena
Oleg Alekseev, Mark Mineev-Weinstein
We develop statistical mechanics for stochastic growth processes as applied to Laplacian growth by using its remarkable connection with a random matrix theory. The Laplacian growth…
cond-mat.stat-mech2016★ 9 cited
Theory of stochastic Laplacian growth
Oleg Alekseev, Mark Mineev-Weinstein
We generalize the diffusion-limited aggregation by issuing many randomly-walking particles, which stick to a cluster at the discrete time unit providing its growth. Using simple co…
cond-mat.stat-mech2016★ 7 cited
Stochastic Laplacian growth
Oleg Alekseev, Mark Mineev-Weinstein
A point source on a plane constantly emits particles which rapidly diffuse and then stick to a growing cluster. The growth probability of a cluster is presented as a sum over all p…