3 papers
math.PR2017
Harnack inequality for subordinate random walks
Ante Mimica, Stjepan Šebek
In this paper, we consider a large class of subordinate random walks on integer lattice via subordinators with Laplace exponents which are complete Bernstein fun…
math.PR2012
Green function estimates for subordinate Brownian motions : stable and beyond
Panki Kim, Ante Mimica
A subordinate Brownian motion is a Lévy process which can be obtained by replacing the time of the Brownian motion by an independent subordinator. In this paper, when the Lapla…
math.PR2011
Harnack inequality and H\" older regularity estimates for a L\' evy process with small jumps of high intensity
Ante Mimica
We consider a L\' evy process in with the characteristic exponent \[ Φ(ξ)=\frac{|ξ|^2}{\ln(1+|ξ|^2)}-1. \] The scale invariant Harnack inequality and apriori es…