3 papers
math.PR2025
Metastability of diffusion processes in narrow tubes
Wen-Tai Hsu
We study the metastable behavior of diffusion processes in narrow tube domains, where the metastability is induced by entropic barriers. We identify a sequence of characteristic ti…
math.PR2025
Asymptotic analysis on narrow tubes: narrow escape problems and diffusion processes
Wen-Tai Hsu
This paper investigates a diffusion process in a narrow tubular domain with reflecting boundary conditions, where the geometry serves as a singular perturbation of an underlying gr…
math.PR2024
SPDEs on narrow channels and graphs: convergence and large deviations in case of non smooth noise
Sandra Cerrai, Wen-Tai Hsu
We investigate a class of stochastic partial differential equations of reaction-diffusion type defined on graphs, which can be derived as the limit of SPDEs on narrow planar channe…