2 citations · 10 across the 13 of their papers we have counts for
15 papers
Bounds on Growth and Impossibility of Collapse for Point Vortex Systems
Samuel Zbarsky
We consider 2D point vortex systems and, under certain conditions on the masses of the point vortices, prove that collapse is impossible and provide bounds on the growth of the sys…
Global stability for nonlinear wave equations satisfying a generalized null condition
John Anderson, Samuel Zbarsky
We prove global stability for a system of nonlinear wave equations satisfying a generalized null condition. The generalized null condition allows for null forms whose coefficients…
Stability and instability of traveling wave solutions to nonlinear wave equations
John Anderson, Samuel Zbarsky
In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which a…
From point vortices to vortex patches in self-similar expanding configurations
Samuel Zbarsky
The main result is that given a generic self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticit…
Lower bounds and fixed points for the centered Hardy--Littlewood maximal operator
Samuel Zbarsky
For all and all centrally symmetric convex bodies define as the centered maximal function associated to . We show that when or , we…
Asymptotically faster algorithm for counting self-avoiding walks and self-avoiding polygons
Samuel Zbarsky
We give an algorithm for counting self-avoiding walks or self-avoiding polygons that runs in time on 2-dimensional lattices and time $\exp(C_dn^{(d-1)/d}\lo…