30 citations · 32 across the 4 of their papers we have counts for
4 papers
Eigenvalue Variations of the Neumann Laplace Operator Due to Perturbed Boundary Conditions
Medet Nursultanov, William Trad, Justin Tzou +1
This work considers the Neumann eigenvalue problem for the weighted Laplacian on a Riemannian manifold under the singular perturbation. This perturbation involve…
Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem
Alan E. Lindsay, Ryan T. Spoonmore, Justin C. Tzou
A hybrid asymptotic-numerical method is presented for obtaining the full probability distribution of capture times of a random walker by multiple small traps located inside a bound…
Drunken robber, tipsy cop: First passage times, mobile traps, and Hopf bifurcations
Justin C. Tzou, Shuangquan Xie, Theodore Kolokolnikov
For a random walk on a confined one-dimensional domain, we consider mean first passage times (MFPT) in the presence of a mobile trap. The question we address is whether a mobile tr…
Mean first passage time for a small rotating trap inside a reflective disk
Justin C. Tzou, Theodore Kolokolnikov
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a const…