11 citations · 23 across the 13 of their papers we have counts for
14 papers
On the continuity of phase transition of three-dimensional square-lattice XY models
Zhou Gang
We study the continuity of magnetization at the phase transition of the ferromagnetic XY model in the three-dimensional square lattice with the nearest neighborhood interaction. We…
A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations
Rupert L. Frank, Zhou Gang
We discuss a one-dimensional version of the Landau-Pekar equations, which are a system of coupled differential equations with two different time scales. We derive an approximation…
On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow
Zhou Gang
We consider one of the generic regimes of formation of singularities. We obtain a detailed description of a possibly small, but fixed, neighborhood of the blowup point, up to (and…
On the dynamics of formation of generic singularities of mean curvature flow
Zhou Gang
We study the formation of generic singularities of mean curvature flow by combining the different approaches, specifically the methods in studying blowup of nonlinear heat equation…
Sphere Bundles with 1/4-pinched Fiberwise Metrics
Thomas Farrell, Zhou Gang, Dan Knopf +1
We prove that all smooth sphere bundles that admit fiberwise 1/4-pinched metrics are induced bundles of vector bundles, so their structure groups reduce from the diffeomorphism gro…
A Resonance Problem in Relaxation of Ground States of Nonlinear Schrodinger Equations
Zhou Gang
In this paper we consider a resonance problem, in a generic regime, in the consideration of relaxation of ground states of semilinear Schrodinger equations. Different from previous…