86 citations · 347 across the 33 of their papers we have counts for
Showing 2015 · math.PRShow all
3 papers · 2 filters
math.PR2015★ 9 cited
Estimates of Dirichlet heat kernel for symmetric Markov processes
Tomasz Grzywny, Kyung-Youn Kim, Panki Kim
We consider a large class of symmetric pure jump Markov processes dominated by isotropic unimodal Lévy processes with weak scaling conditions. First, we establish sharp two-sided h…
math.PR2015★ 22 cited
Asymptotic behavior of densities of unimodal convolution semigroups
Wojciech Cygan, Tomasz Grzywny, Bartosz Trojan
We prove the asymptotic formulas for the transition densities of isotropic unimodal convolution semigroups of probability measures on under the assumption that its L…
math.PR2015★ 12 cited
Hitting times of points and intervals for symmetric Lévy processes
Tomasz Grzywny, Michał Ryznar
For one-dimensional symmetric Lévy processes, which hit every point with positive probability, we give sharp bounds for the tail function of the first hitting time of B which is ei…