83 citations · 190 across the 33 of their papers we have counts for
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math.PR2021★ 4 cited
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…
math.AP2021
Determining Riemannian Manifolds From Nonlinear Wave Observations at a Single Point
Leo Tzou
We show that on an a-priori unknown Riemannian manifold , measuring the source-to-solution map for the semilinear wave equation at a single point determines the topological,…
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…