37 citations · 102 across the 15 of their papers we have counts for
16 papers
Optimal anytime regret with two experts
Nicholas J. A. Harvey, Christopher Liaw, Edwin Perkins +1
We consider the classical problem of prediction with expert advice. In the fixed-time setting, where the time horizon is known in advance, algorithms that achieve the optimal regre…
On the topological boundary of the range of super-Brownian motion-extended version
Jieliang Hong, Leonid Mytnik, Edwin Perkins
We show that if is the boundary of the range of super-Brownian motion and dim denotes Hausdorff dimension, then with probability one, for any open set , $\…
On the range of lattice models in high dimensions - extended version
Mark Holmes, Edwin Perkins
In this paper we investigate the scaling limit of the range (the set of visited vertices) for a class of critical lattice models, starting from a single initial particle at the ori…
On the boundary of the zero set of super-Brownian motion and its local time
Thomas Hughes, Edwin Perkins
If is the density of one-dimensional super-Brownian motion, we prove that a.s. on , where $-λ_0\in(-1,-1…
The dimension of the boundary of super-Brownian motion
Leonid Mytnik, Edwin Perkins
We show that the Hausdorff dimension of the boundary of -dimensional super-Brownian motion is , if , , if , and , if .
A complete convergence theorem for voter model perturbations
J. Theodore Cox, Edwin A. Perkins
We prove a complete convergence theorem for a class of symmetric voter model perturbations with annihilating duals. A special case of interest covered by our results is the stochas…