6 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
How to hear the corners of a drum
Medet Nursultanov, Julie Rowlett, David Sher
We announce a new result which shows that under either Dirichlet, Neumann, or Robin boundary conditions, the corners in a planar domain are a spectral invariant of the Laplacian. F…
Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator
Ksenia Fedosova, Medet Nursultanov
In this article, we study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise Hölder continuous perturbation and investiga…
Evolution of time-harmonic electromagnetic and acoustic waves along waveguides
Medet Nursultanov, Andreas Rosén
We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wav…