32 citations · 32 across the 2 of their papers we have counts for
4 papers
Internal DLA for cylinders
David Jerison, Lionel Levine, Scott Sheffield
We show that space-time averages of the fluctuations of internal DLA on a cylinder Z_N x Z converge in law to the Gaussian free field.
Internal DLA and the Gaussian free field
David Jerison, Lionel Levine, Scott Sheffield
In previous works, we showed that the internal DLA cluster on \Z^d with t particles is a.s. spherical up to a maximal error of O(\log t) if d=2 and O(\sqrt{\log t}) if d > 2. This…
Internal DLA in Higher Dimensions
David Jerison, Lionel Levine, Scott Sheffield
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d > 2. We show that A(t) is approximately spherical, up…
Logarithmic fluctuations for internal DLA
David Jerison, Lionel Levine, Scott Sheffield
Let each of n particles starting at the origin in Z^2 perform simple random walk until reaching a site with no other particles. Lawler, Bramson, and Griffeath proved that the resul…