4 papers · 1 filter
Ricci curvature for fluid models on the torus via Zeitlin's quantization
Sadashige Ishida, Alex Suri
Ricci curvature measures the average stability of geodesics under transverse perturbations, but how it should be defined in infinite dimensions is often unclear. This paper propose…
Stochastic Euler-Poincaré reduction for central extension
Ali Suri
This paper explores the application of central extensions of Lie groups and Lie algebras to derive the viscous quasi-geostrophic (QGS) equations, with and without Rayleigh friction…
Conjugate points along spherical harmonics
Ali Suri
Utilizing structure constants, we present a version of the Misiolek criterion for identifying conjugate points. We propose an approach that enables us to locate these points along…
Curvature and stability of quasi-geostrophic motion
Ali Suri
This paper outlines the study of the curvature of the quantomorphism group and its central extension, as well as the quasi-geostrophic equation. By utilizing spherical harmonics an…