55 citations · 105 across the 5 of their papers we have counts for
6 papers
Coagulation and universal scaling limits for critical Galton-Watson processes
Gautam Iyer, Nicholas Leger, Robert L. Pego
The basis of this paper is the elementary observation that the -step descendant distribution of any Galton-Watson process satisfies a discrete Smoluchowski coagulation equation…
Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes
Gautam Iyer, Nicholas Leger, Robert L. Pego
We investigate the well-posedness and asymptotic self-similarity of solutions to a generalized Smoluchowski coagulation equation recently introduced by Bertoin and Le Gall in the c…
Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations
Nicholas Leger, Alexis Vasseur
We develop a theory based on relative entropy to show the uniqueness and L^2 stability (up to a translation) of extremal entropic Rankine-Hugoniot discontinuities for systems of co…
L^2 stability estimates for shock solutions of scalar conservation laws using the relative entropy method
Nicholas Leger
We consider scalar nonviscous conservation laws with strictly convex flux in one spatial dimension, and we investigate the behavior of bounded L^2 perturbations of shock wave solut…
Double bubbles in and
Joseph Corneli, Neil Hoffman, Paul Holt +4
We prove the double bubble conjecture in the three-sphere and hyperbolic three-space in the cases where we can apply Hutchings theory: 1) in , each enclosed volume…
The Double Bubble Problem on the Flat Two-Torus
Joseph Corneli, Paul Holt, George Lee +3
We characterize the perimeter-minimizing double bubbles on all flat two-tori and, as corollaries, on the flat infinite cylinder and the flat infinite strip with free boundary. Spec…