20 citations · 27 across the 3 of their papers we have counts for
4 papers · 1 filter
Growth by Random Walker Sampling, and Scaling of the Dielectric Breakdown Model
Ellak Somfai, Nicholas R. Goold, Robin C. Ball +2
Random walkers absorbing on a boundary sample the Harmonic Measure linearly and independently: we discuss how the recurrence times between impacts enable non-linear moments of the…
Diffusion-limited aggregation in channel geometry
Ellak Somfai, Robin C. Ball, Jason P. DeVita +1
We performed extensive numerical simulation of diffusion-limited aggregation in two dimensional channel geometry. Contrary to earlier claims, the measured fractal dimension D = 1.7…
Off-lattice noise reduction and the ultimate scaling of DLA in two dimensions
Robin C. Ball, Neill E. Bowler, Leonard M. Sander +1
Off-lattice DLA clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation ex…
Firewalls, Disorder, and Percolation in Epidemics
C. P. Warren, L. M. Sander, I. M. Sokolov
We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bon…