83 citations · 190 across the 33 of their papers we have counts for
4 papers · 1 filter
Geodesic Lévy flights and expected stopping time for random searches
Yann Chaubet, Yannick Guedes Bonthonneau, Thibault Lefeuvre +1
We give an analytic description for the infinitesimal generator constructed by Applebaum-Estrade for Lévy flights on a broad class of closed Riemannian manifolds including all nega…
The narrow capture problem on general Riemannian surfaces
Medet Nursultanov, William Trad, Justin C. Tzou +1
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modell…
Narrow escape problem in the presence of the force field
Medet Nursultanov, William Trad, Leo Tzou
This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptoti…
On the Mean First Arrival Time of Brownian Particles on Riemannian Manifolds
Medet Nursultanov, Justin C. Tzou, Leo Tzou
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust wa…