3 papers
math.AP2026
Concentration-compactness for the geometric polyharmonic heat flow
James McCoy, Scott Parkins, Glen Wheeler +1
We develop a concentration-compactness theory for geometric evolution equations of arbitrarily high order, using the geometric polyharmonic heat flow of closed immersed surfaces in…
math.DG2026
Heintze-Karcher and Reverse Alexandrov-Fenchel Inequalities via Focal Geometry
Kwok-kun Kwong, Scott Parkins, Glen Wheeler
We prove a collection of reverse Alexandrov-Fenchel type inequalities in anisotropic, Euclidean, spherical, and hyperbolic settings. The unifying principle is that the relevant def…
quant-ph2025
Nonlinear Dynamics of a Dicke Model for V-Type Atoms
Ofri Adiv, Bernd Krauskopf, Scott Parkins
We study the nonlinear, semiclassical dynamics of an open spin-1 (three-level) variant of the traditional Dicke model. In particular, we focus on V-type energy-level configurations…