16 citations · 33 across the 12 of their papers we have counts for
16 papers
Estimates of Dirichlet heat kernels for subordinate Brownian motions
Panki Kim, Ante Mimica
In this paper, we discuss estimates of transition densities of subordinate Brownian motions in open subsets of Euclidean space. When is a domain, we establish sharp t…
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…
Markov Chain Approximation of Pure Jump Processes
Ante Mimica, Nikola Sandrić, René L. Schilling
In this paper we discuss weak convergence of continuous-time Markov chains to a non-symmetric pure jump process. We approach this problem using Dirichlet forms as well as semimarti…
Asymptotical properties of distributions of isotropic L\' evy processes
Panki Kim, Ante Mimica
In this paper, we establish the precise asymptotic behaviors of the tail probability and the transition density of a large class of isotropic Lévy processes when the scaling order…
On subordinate random walks
Ante Mimica
In this article subordination of random walks in is considered. We prove that subordination of random walks in the sense of [BSC12] yields the same process as subordination o…
Heat kernel estimates for subordinate Brownian motions
Ante Mimica
In this article we study transition probabilities of a class of subordinate Brownian motions. Under mild assumptions on the Laplace exponent of the corresponding subordinator, shar…
Intrinsic scaling properties for nonlocal operators II
Moritz Kassmann, Ante Mimica
We study integrodifferential operators and regularity estimates for solutions to integrodifferential equations. Our emphasis is on kernels with a critically low singularity which d…
Intrinsic scaling properties for nonlocal operators
Moritz Kassmann, Ante Mimica
We study growth lemmas and questions of regularity for generators of Markov processes. The generators are allowed to have an arbitrary order of differentiability less than 2. In ge…
Unavoidable collections of balls for censored stable processes
Ante Mimica, Zoran Vondraček
We study avoidability of collections of balls in bounded opens sets for censored -stable processes, . The results are analog to the ones obtained for Brown…
Unavodiable collections of balls for isotropic Lévy processes
Ante Mimica, Zoran Vondraček
A collection of pairwise disjoint balls in the Euclidean space is said to be avoidable with respect to a transient process if the process…
Exponential decay of measures and Tauberian theorems
Ante Mimica
We study behavior of a measure on by considering its Laplace transform. If it is possible to extend the Laplace transform to a complex half-plane containing the imagin…
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…
Harnack Inequalities for Subordinate Brownian Motions
Panki Kim, Ante Mimica
In this paper, we consider transient subordinate Brownian motion X in R^d, d \geq 1, where the Laplace exponent ϕof the corresponding subordinator satisfies some mild conditions. T…
Analysis of jump processes with nondegenerate jumping kernels
Moritz Kassmann, Ante Mimica
We prove regularity estimates for functions which are harmonic with respect to certain jump processes. The aim of this article is to extend the method of Bass-Levin[BL02] and Bogda…
On harmonic functions of symmetric Levy processes
Ante Mimica
We consider some classes of Levy processes for which the estimate of Krylov and Safonov (as in [BL02]) fails and thus it is not possible to use the standard iteration technique to…
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…