Vortex Sheets and Groupoids in Ideal Hydrodynamics
Explore Arnold's group-theoretic approach to ideal hydrodynamics and its applications to vortex sheets, fluids with moving boundaries, and multiphase fluids using Lie groupoid symmetries.
A Tale of Two Polytopes Related to Geodesic Flows on Spheres
Explore finite dimensional integrability in mathematical physics through geodesic flows on spheres, focusing on two related polytopes.
Hamiltonian Geometry of Fluids
Explore Hamiltonian geometry of fluids, covering Arnold's group-theoretic approach, compressible fluids, optimal mass transport, and Newton's equations on diffeomorphism groups and probability densities.
Geodesic Framework for Vortex Sheets and Generalized Fluid Flows
Explore geodesic frameworks for vortex sheets and generalized fluid flows, examining group-theoretic approaches to ideal hydrodynamics and Lie groupoid symmetries in mathematical physics.
Geodesic Flow on Surfaces Without Conjugate Points - Part 2
Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, delving into complex dynamics and geometric concepts.
Geodesic Flow on Surfaces Without Conjugate Points - Part 3
Explore geodesic flow on surfaces without conjugate points in this advanced mathematical lecture, focusing on dynamics and geometric analysis.
Geodesic Flow on Surfaces Without Conjugate Points - Part 1
Explore geodesic flow on surfaces without conjugate points in this advanced mathematics lecture. Delve into complex geometric concepts and their applications in surface dynamics.
Flexibility Ideas for Geodesic Flow
Explore innovative concepts in geodesic flow flexibility, uncovering dynamic approaches and mathematical insights for advanced understanding.
Train Track Automata for Outer Automorphisms of Free Groups and Geodesics in Outer Space
Delve into advanced group theory concepts exploring train track automata, outer automorphisms of free groups, and geodesics in outer space through rigorous mathematical analysis and theoretical frameworks.