O djelatniku

prof. dr. sc. Zoran Vondraček

Zvanje: redoviti profesor u trajnom zvanju
Lokacija: 313
Telefon:5792
E-mail: E-mail
Osobna stranica na Webu: https://web.math.pmf.unizg.hr/~vondra/
Zavod/služba: Zavod za teoriju vjerojatnosti i matematičku statistiku
Godina diplomiranja:1982.
Godina magistriranja:1985.
Godina doktoriranja:1990.

Nastava

prijediplomski

diplomski

Predmet

Konzultacije

Četvrtak 10-12 ili po dogovoru

Objavljeni radovi u Hrvatskoj znanstvenoj bibliografiji

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

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

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

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

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

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

Positive self-similar Markov processes obtained by resurrection

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

Heat kernel estimates for subordinate Markov processes and their applications

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

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

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

A probabilistic approach to a non-local quadratic form and its connection to the Neumann boundary condition problem

Vondraček, Zoran
izvorni znanstveni rad, Mathematische Nachrichten, 2021.

On the boundary theory of subordinate killed Levy processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, 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
izvorni znanstveni rad, 2020.
Journal de mathématiques pures et appliquées

Potential theory of subordinate killed Brownian motion

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

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

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

On purely discontinuous additive functionals of subordinate Brownian motions

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

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

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

On potential theory of subordinate killed processes

Vondraček, Zoran
sažetak izlaganja sa skupa, Probability and Analysis 2017, 2017.

Scale invariant boundary Harnack principle at infinity for Feller processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, 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
izvorni znanstveni rad, 2017.
Transactions of the American mathematical society

Minimal thinness with respect to subordinate killed Brownian motions

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

A distributional equality for suprema of spectrally positive Levy processes

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

Minimal thinness with respect to symmetric Levy processes

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

Martin boundary for some symmetric Levy processes

Kim, Panki ; Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Festschrift Masatoshi Fukushima, 2015.

William Feller: Selected Papers I, II


antologija, 2015.

Martin boundary of unbounded sets for purely discontinuous Feller processes

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

Unavoidable collections of balls for isotropic Levy processes

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

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

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

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

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

Unavoidable collections of balls for censored stable processes

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

Potential theory of subordinate Brownian motions with Gaussian components

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

Two-sided Green function estimates for killed subordinate Brownian motions

Kim, Panki ; Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Proceedings of the london mathematical society, 2012.
Proceedings of the London Mathematical Society

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

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

Potential theory of subordinate Brownian motions revisited

Kim, Panki ; Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Stochastic analysis and applications to finance. Essays in honour of Jia-an Yan, 2012.

Minimal thinness for subordinate Brownian motion in half-space

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

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

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

On harmonic functions for trace processes

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

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

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

Bernstein Functions: Theory and Applications

Schilling, Rene ; Song, Renming ; Vondraček, Zoran
monografija (znanstvena), 2010.

Some remarks on special subordinators

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

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
izvorni znanstveni rad, Illinois journal of mathematics, 2010.

Potential Theory of Subordinate Brownian Motion

Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Potential Analysis of Stable Processes and its Extensions, 2009.

Boundary Harnack principle for subordinate Brownian motions

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

On the relationship between subordinate killed and killed subordinate processes

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

On suprema of Levy processes and application in risk theory

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

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

Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Tohoku mathematical journal, 2007.

Green function estimates and Harnack inequality for subordinate Brownian motions

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

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

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

Potential Theory of Special Subordinators and Subordinate Killed Stable Processes

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

Potential theory of geometric stable processes

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

Operator semistable laws

Kovač, Sanja
magistarski rad (mr. sc. i mr. art.), 2005.

Harnack Inequality for Some Discontinuous Markov Processes with a Diffusion Part

Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Glasnik matematički, 2005.

Harnack inequality for some classes of Markov processes

Song, Renming ; Vondraček, Zoran
izvorni znanstveni rad, Mathematische Zeitschrift, 2004.

Ruin probabilities for competing claim processes

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

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

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

Harmonic Functions of Subordinate Killed Brownian Motion

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

Problemi konzistencije za Heath-Jarrow-Mortonov model kamatnih stopa

Velčić, Igor
magistarski rad (mr. sc. i mr. art.), 2004.

Ruin probabilities and decompositions for general perturbed risk processes

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

Asimptotske vjerojatnosti propasti u modelu rizika

Žigo, Mislav
magistarski rad (mr. sc. i mr. art.), 2003.

Potential theory of subordinate killed Brownian motion in a domain

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

Nonlinear potentials in function spaces

Rao, Murali ; Vondraček, Zoran
izvorni znanstveni rad, Nagoya mathematical journal, 2002.

Basic potential theory of certain nonsymmetric strictly alpha-stable processes

Vondraček, Zoran
izvorni znanstveni rad, Glasnik matematički, 2002.

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

Vondraček, Zoran
izvorni znanstveni rad, Journal of theoretical probability, 2000.

Optimal investment in incomplete markets

Žitković, Gordan
magistarski rad (mr. sc. i mr. art.), 1999.

Stochastic mechanism of cellular aging - Abrupt telomere shortening as a model for stochastic nature of cellular aging

Rubelj, Ivica ; Vondraček, Zoran
izvorni znanstveni rad, Journal of theoretical biology, 1999.

On the first passage over the one-sided stochastic boundary

Vondraček, Zoran
pregledni rad (stručni), Mathematical communications, 1997.

An estimate for the L(2) norm of a quasi continuous function with respect to a smooth measure

Vondraček, Zoran
izvorni znanstveni rad, Archiv der Mathematik, 1996.

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

Vondraček, Zoran
izvorni znanstveni rad, Journal of theoretical probability, 1996.

Some Markov processes with Brownian exit distributions

Vondraček, Zoran
izvorni znanstveni rad, Probability theory and related fields, 1995.

A characterization of Markov chains on infinite graphs by limiting distributions

Vondraček, Zoran
izvorni znanstveni rad, Archiv der Mathematik, 1995.

Martin Kernel and Infima of Positive Harmonic Functions

Vondraček, Zoran
izvorni znanstveni rad, Transactions of the American mathematical society, 1993.

Markov functions of a time-changed recurrent difussion

Vondraček, Zoran
izvorni znanstveni rad, Journal of theoretical probability, 1993.

On some extremal elements in the cone Hinf

Vondraček, Zoran
izvorni znanstveni rad, Glasnik matematički, 1992.

A characterization of Brownian motion on Sierpinski spaces

Vondraček, Zoran
izvorni znanstveni rad, Seminar on Stochastic Processes, 1991, 1992.

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

Vondraček, Zoran
izvorni znanstveni rad, Probability theory and related fields, 1992.

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

Vondraček, Zoran
izvorni znanstveni rad, Journal of theoretical probability, 1991.

The excessive domination principle is equivalent to the weak sector condition

Vondraček, Zoran
izvorni znanstveni rad, Lecture notes in mathematics, 1990.

On some classes of sets

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

Monotone class theorems

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