73 citations · 141 across the 38 of their papers we have counts for
7 papers · 1 filter
First-passage times to a fractal boundary: local persistence exponent and its log-periodic oscillations
Yilin Ye, Adrien Chaigneau, Denis S. Grebenkov
We investigate the statistics of the first-passage time (FPT) to a fractal self-similar boundary of the Koch snowflake. When the starting position is fixed near the absorbing bound…
Escape-from-a-layer approach for simulating the boundary local time in Euclidean domains
Yilin Ye, Adrien Chaigneau, Denis S. Grebenkov
We propose an efficient numerical approach to simulate the boundary local time of reflected Brownian motion, as well as the time and position of the associated reaction event on a…
Adsorption and permeation events in molecular diffusion
Denis S. Grebenkov
How many times a diffusing molecule can permeate across a membrane or be adsorbed on a substrate? We employ the encounter-based approach to find the statistics of adsorption or per…
Mixed Steklov-Neumann problem: asymptotic analysis and applications to diffusion-controlled reactions
Denis S. Grebenkov
We consider the mixed Steklov-Neumann spectral problem for the modified Helmholtz equation in a bounded domain when the Steklov condition is imposed on a connected subset of the sm…
The Steklov problem for exterior domains: asymptotic behavior and applications
Denis S. Grebenkov, Adrien Chaigneau
We investigate the spectral properties of the Steklov problem for the modified Helmholtz equation in the exterior of a compact set, for which the positive parameter $…
Spectral properties of the Dirichlet-to-Neumann operator for spheroids
Denis S. Grebenkov
We study the spectral properties of the Dirichlet-to-Neumann operator and the related Steklov problem in spheroidal domains ranging from a needle to a disk. An explicit matrix repr…
Escape from textured adsorbing surfaces
Yuval Scher, Shlomi Reuveni, Denis S. Grebenkov
The escape dynamics of sticky particles from textured surfaces is poorly understood despite importance to various scientific and technological domains. In this work, we address thi…