About employee

prof. dr. sc. Zoran Vondraček

Title: Full Professor
Location: 313
Public phone number:5792
E-mail: E-mail
Personal web page: https://web.math.pmf.unizg.hr/~vondra/
Department: Zavod za teoriju vjerojatnosti i matematičku statistiku
Graduation year:1982
mr.sc. graduation year:1985
PhD graduation year:1990

Teaching

undergraduate

graduate

Published papers recorded in the Croatian Scientific Bibliography Database

Potential theory of Dirichlet forms degenerate at the boundary: the case of no killing potential

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2024.
Mathematische Annalen

Sharp two-sided Green function estimates for Dirichlet forms degenerate at the boundary

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2024.
Journal of the european mathematical society

Harnack inequality and interior regularity for Markov processes with degenerate jump kernels

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2023.
Journal of differential equations

Positive self-similar Markov processes obtained by resurrection

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2023.
Stochastic processes and their applications

On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2023.
Potential analysis

Heat kernel estimates for subordinate Markov processes and their applications

Cho, Soobin ; Kim, Panki ; Song, Renming ; Vondraček, Zoran
2022.
Journal of differential equations

Semilinear equations for non-local operators: Beyond the fractional Laplacian

Biočić, Ivan ; Vondraček, Zoran ; Wagner, Vanja
2021.
Nonlinear analysis : theory, methods and applications

On the boundary theory of subordinate killed Levy processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2020.
Potential analysis

Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings

Cho, Soobin ; Kim, Panki ; Song, Renming ; Vondraček, Zoran
2020.
Journal de mathématiques pures et appliquées

Potential theory of subordinate killed Brownian motion

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2019.
Transactions of the American mathematical society

Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2018.
Revista matematica iberoamericana

Heat kernels of non-symmetric jump processes: beyond the stable case

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2018.
Potential analysis

On purely discontinuous additive functionals of subordinate Brownian motions

Vondraček, Zoran ; Wagner, Vanja
2018.
Stochastic processes and their applications

Scale invariant boundary Harnack principle at infinity for Feller processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2017.
Potential analysis

Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process};; ; ; ;

Schilling L. René ; Vondraček, Zoran
2017.
Transactions of the American mathematical society

A distributional equality for suprema of spectrally positive Levy processes

Geček Tuđen, Ivana ; Vondraček, Zoran
2016.
Journal of theoretical probability

Minimal thinness with respect to symmetric Levy processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2016.
Transactions of the American mathematical society

Minimal thinness with respect to subordinate killed Brownian motions

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2016.
Stochastic processes and their applications

Martin boundary for some symmetric Levy processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2015.

Martin boundary of unbounded sets for purely discontinuous Feller processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2015.
Forum mathematicum

Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2014.
Potential analysis

Unavoidable collections of balls for censored stable processes

Mimica, Ante ; Vondraček, Zoran
2014.
Journal of mathematical analysis and applications

Global uniform boundary Harnack principle with explicit decay rate and its application

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2014.
Stochastic processes and their applications

Unavoidable collections of balls for isotropic Levy processes

Mimica, Ante ; Vondraček, Zoran
2014.
Stochastic processes and their applications

Potential theory of subordinate Brownian motions with Gaussian components

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2013.
Stochastic processes and their applications

Uniform Boundary Harnack Principle for Rotationally Symmetric Levy processes in General Open Sets

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2012.
Science China-Mathematics

Boundary Harnack principle for $\Delta + \Delta^{;; ; ; ; ; \alpha/2};; ; ; ; ; $

Chen, Zhen-Qing ; Kim, Panki ; Song, Renming ; Vondraček, Zoran
2012.
Transactions of the American mathematical society

Potential theory of subordinate Brownian motions revisited

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2012.

Minimal thinness for subordinate Brownian motion in half-space

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2012.
Annales de l institut fourier

Two-sided Green function estimates for killed subordinate Brownian motions

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2012.
Proceedings of the London Mathematical Society

On harmonic functions for trace processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2011.
Mathematische Nachrichten

On the potential theory of one-dimensional subordinate Brownian motions with continuous components

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2010.
Potential analysis

Some remarks on special subordinators

Song, Renming ; Vondraček, Zoran
2010.
The Rocky Mountain journal of mathematics

Sharp Green function estimates for Δ+Δα/2 in C1,1 open sets and their applications

Chen, Zhen-Qing ; Kim, Panki ; Song, Renming ; Vondraček, Zoran
2010.
Illinois journal of mathematics

Bernstein Functions: Theory and Applications

Schilling, Rene ; Song, Renming ; Vondraček, Zoran
2010.

Potential Theory of Subordinate Brownian Motion

Song, Renming ; Vondraček, Zoran
2009.

Boundary Harnack principle for subordinate Brownian motions

Kim, Panki ; Song, Renming ; Vondraček, Zoran
2009.
Stochastic processes and their applications

On the relationship between subordinate killed and killed subordinate processes

Song, Renming ; Vondraček, Zoran
2008.
Electronic communications in probability

On suprema of Levy processes and application in risk theory

Song, Renming ; Vondraček, Zoran
2008.
Annales de l institut henri poincare-probabilites et statistiques

Parabolic Harnack Inequality for the Mixture of Brownian Motion and Stable Process

Song, Renming ; Vondraček, Zoran
2007.
Tohoku mathematical journal

On the monotonicity of a function related to the local time of a symmetric Levy process

Song, Renming ; Vondraček, Zoran
2006.
Statistics & probability letters

Potential Theory of Special Subordinators and Subordinate Killed Stable Processes

Song, Renming ; Vondraček, Zoran
2006.
Journal of theoretical probability

Potential theory of geometric stable processes

Šikić, Hrvoje ; Song, Renming ; Vondraček, Zoran
2006.
Probability theory and related fields

Green function estimates and Harnack inequality for subordinate Brownian motions

Rao, Murali ; Song, Renming ; Vondraček, Zoran
2006.
Potential analysis

Harnack Inequality for Some Discontinuous Markov Processes with a Diffusion Part

Song, Renming ; Vondraček, Zoran
2005.
Glasnik matematički

Harnack inequality for some classes of Markov processes

Song, Renming ; Vondraček, Zoran
2004.
Mathematische Zeitschrift

Harmonic Functions of Subordinate Killed Brownian Motion

Glover, Joseph ; Pop-Stojanović, Zoran ; Rao, Murali ; Šikić, Hrvoje ; Song, Remning ; Vondraček, Zoran
2004.
Journal of functional analysis

Ruin probabilities and decompositions for general perturbed risk processes

Huzak, Miljenko ; Perman, Mihael ; Šikić, Hrvoje ; Vondraček, Zoran
2004.
Annals of applied probability

Sharp bounds for Green functions and jumping functions of subordinate killed Brownian motions in bounded C(1,1) domains

Song, Renming ; Vondraček, Zoran
2004.
Electronic communications in probability

Ruin probabilities for competing claim processes

Huzak, Miljenko ; Perman, Mihael ; Šikić, Hrvoje ; Vondraček, Zoran
2004.
Journal of applied probability

Potential theory of subordinate killed Brownian motion in a domain

Song, Renming ; Vondraček, Zoran
2003.
Probability theory and related fields

Nonlinear potentials in function spaces

Rao, Murali ; Vondraček, Zoran
2002.
Nagoya mathematical journal

Asymptotics of first-passage time over a one-sided stochastic boundary

Vondraček, Zoran
2000.
Journal of theoretical probability

On the first passage over the one-sided stochastic boundary

Vondraček, Zoran
1997.
Mathematical communications

A characterization of certain diffusions on the Sierpinski gasket by the exit distributions

Vondraček, Zoran
1996.
Journal of theoretical probability

Some Markov processes with Brownian exit distributions

Vondraček, Zoran
1995.
Probability theory and related fields

Markov functions of a time-changed recurrent difussion

Vondraček, Zoran
1993.
Journal of theoretical probability

Martin Kernel and Infima of Positive Harmonic Functions

Vondraček, Zoran
1993.
Transactions of the American mathematical society

A Characterization of $h$-Brownian Motion by its Exit Distributions

Vondraček, Zoran
1992.
Probability theory and related fields

On some extremal elements in the cone Hinf

Vondraček, Zoran
1992.
Glasnik matematički

A characterization of Brownian motion in a Lipschitz domain by its killing distributions

Vondraček, Zoran
1991.
Journal of theoretical probability

The excessive domination principle is equivalent to the weak sector condition

Vondraček, Zoran
1990.
Lecture notes in mathematics

Klase skupova

Šikić, Hrvoje ; Vondraček, Zoran
1989.
Matematika (Beograd)

Teoremi o monotonim klasama

Šikić, Hrvoje ; Vondraček, Zoran
1989.
Matematika (Beograd)
More information about publications