3 papers
math.PR2025
Survival probability for jump processes in unbounded domains on metric measure spaces
Phanuel Mariano, Jing Wang
We study the large time behavior of the survival probability for symmetric jump processes in unbounded domains with a positive bottom of the spect…
math.PR2025
Spectral bounds for exit times on metric measure Dirichlet spaces and applications
Phanuel Mariano, Jing Wang
Assuming the heat kernel on a doubling Dirichlet metric measure space has a sub-Gaussian bound, we prove an asymptotically sharp spectral upper bound on the survival probability of…
math.AP2024
On a conjecture of a Pólya functional for triangles and rectangles
Rodrigo Bañuelos, Phanuel Mariano
We consider the functional given by the product of the first Dirichlet eigenvalue and the torsional rigidity of planar domains normalized by the area. This scale invariant function…