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math.PR2022★ 1 cited
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…
math.PR2021
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…