3 papers
math.DG2026
Geodesic Lévy flights on Zoll surfaces
Yann Chaubet, Emanuel József Godfried, Leo Tzou
We study the mean first capture time of isotropic Lévy flights on Zoll surfaces, namely the expected time for a geodesic Lévy process to reach a shrinking geodesic ball. While th…
math.AP2026
Mean first escape times of Brownian motion on asymptotically hyperbolic and gas giant metric surfaces
Jesse Gell-Redman, Emanuel József Godfried, Justin Tzou +1
This paper deals with the mean first escape time of Brownian motion on asymptotically hyperbolic and gas giant surfaces. We show that for a boundary defining function , the mea…
cs.LG2025
Rates and architectures for learning geometrically non-trivial operators
T. Mitchell Roddenberry, Leo Tzou, Ivan DokmaniÄ +2
Deep learning methods have proven capable of recovering operators between high-dimensional spaces, such as solution maps of PDEs and similar objects in mathematical physics, from v…