6 citations · 7 across the 3 of their papers we have counts for
5 papers
Large time behavior of Lévy processes and their nonlocal Schrödinger semigroups
Mateusz Kwaśnicki, Phanuel Mariano, Hugo Panzo +1
We study the large time asymptotics of the Feynman-Kac semigroups of the symmetric Lévy process on unbounded open sets. Our main result proves the exact exponential asymptotic deca…
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 spectr…
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…
Improved upper bounds for the Hot Spots constant of Lipschitz domains
Phanuel Mariano, Hugo Panzo, Jing Wang
The Hot Spots constant for bounded smooth domains was recently introduced by Steinerberger (2021) as a means to control the global extrema of the first nontrivial eigenfunction of…
Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian
Rodrigo Banuelos, Phanuel Mariano, Jing Wang
For domains in , , we prove universal upper and lower bounds on the product of the bottom of the spectrum for the Laplacian to the power and the suprem…