2 citations · 2 across the 10 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.DG2024
Curvature-Dimension for Autonomous Lagrangians
Rotem Assouline
We introduce a curvature-dimension condition for autonomous Lagrangians on weighted manifolds, which depends on the Euler-Lagrange dynamics on a single energy level. By generalizin…
math.FA2024
A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture
Rotem Assouline, Arnon Chor, Shay Sadovsky
We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Ad…
math.DG2024
A finiteness principle for distance functions on Riemannian surfaces with Hölder continuous curvature
Rotem Assouline
We study distance functions from geodesics to points on Riemannian surfaces with Hölder continuous Gauss curvature, and prove a finiteness principle in the spirit of Whitney extens…