Papers & Preprints

Preprints

• (mit/with Peter Kern, Daniel Neugebauer, Jörg Rothe, Dietrich Stoyan, Robin Weishaupt) Cutting a cake is not always a "Piece of cake": A closer look at the foundations of cake-cutting through the lense of measure theory (submitted)
  [pdf] • [arXiv] • [journal] • DOI:
• (mit Peng Chen, Chang-Song Deng, Lihu Xu) Approximation of the invariant measure of stable SDEs by an Euler--Maruyama scheme (submitted)
  [pdf] • [arXiv] • [journal] • DOI:
• (mit/with Daniel Leising) Mathematical Model of Person Judgment, Part 1. Manuscript. Technical supplement (submitted)
  [pdf] • [psyarXiv - manuscript] • [psyarXiv - supplement] • [journal] • DOI:
• (mit/with Dietrich Stoyan) Continuity Assumptions in Cake-Cutting
  [pdf] • [arXiv] • [journal] • DOI:
• (mit/with Chang-Song Deng, Lihu Xu) Wasserstein-1 distance between SDEs driven by Brownian motion and stable processes (submitted)
  [pdf] • [arXiv] • [journal] • DOI:
• (mit/with David Berger, Eugene Shargorodsky) The Liouville theorem for a class of Fourier multipliers and its connection to coupling
  (submitted)
  [pdf] • [arXiv] • [journal] • DOI:

Papers

• [103] (mit/with Franziska Kühn) Maximal inequalities and applications
  Probability Surveys 20 (2023) 382-485
  [pdf] • [arXiv] • [https://doi.org/10.1214/23-PS17]
• [102] (mit/with Shenglan Yuan, Jinqiao Duan) Large deviations for stochastic nonlinear systems of slow-fast diffusions with non-Gaussian Lévy noises.
  International Journal of Non-Linear Mechanics  148 (2023) 104304 (11 pp)
  [pdf] • [arXiv] • [https://doi.org/10.1016/j.ijnonlinmec.2022.104304]

• [101] (mit/with Anita Behme, David Oechsler) On q-scale functions of spectrally negative Lévy processes.
  Advances in Applied Probability 55  (2023) 56-84
  [pdf] • [arXiv] • [https://doi.org/10.1017/apr.2022.10]

• [100] (mit/with Yuliya Mishura, Kostiantyn Ralchenko) Analytical and computational problems related to fractional Gaussian noise.
  Fractal and Fractional  6(11) (2022) 22 pp,
  [pdf] • [arXiv] • [https://doi.org/doi.org/10.3390/fractalfract6110620]
• [99] (mit/with David Berger, Franziska Kühn) Lévy processes, martingales and uniform integrability.
  Probability and Mathematical Statistics 42 (2022) 109-131
  [pdf] • [arXiv] • [ https://doi.org/10.37190/0208-4147.00045 ]
• [98] (mit/with Changsong Deng and Lihu Xu) Singular integrals of subordinators with applications to structural properties of SPDEs.
  Transactions of the American Mathematical Society 375 (2022) 6043-6073
  [pdf] • [arXiv] • [ https://doi.org/10.1090/tran/8595 ]
• [97] (mit/with David Berger) The (strong) Liouville property for a class of non-local operators.
  Mathematica Scandinavica 128 (2022) 365-388
  [pdf] • [arXiv] • [ https://doi.org/10.7146/math.scand.a-132068 ]
• [96] (mit/with Victoria Knopova) Bochner's Subordination and Fractional Caloric Smoothing in Besov and Triebel-Lizorkin Spaces.
  Mathematische Nachrichten 295 (2022) 363-376
  [pdf] • [arXiv] • [ https://doi.org/10.1002/mana.202000061]
• [95] (mit/with Franziska Kühn) Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups.
  Studia Mathematica 262 (2022) 93-119
  [pdf] • [arXiv] • [https://doi.org/10.4064/sm210127-23-3]
• [94] (mit/with Franziska Kühn) For which functions are $f(X_t)-\mathbb{E}f(X_t)$ and $g(X_t)/\mathbb{E}g(X_t)$ martingales?
  Theory of Probability and Mathematical Statistics 105 (2021) 79-91
  [pdf] • [arXiv] • [https://doi.org/10.1090/tpms/1153]
• [93] (mit/with Victoria Knopova and Alex Kulik) Construction and heat kernel estimates of general stable-like Markov processes.
  Dissertationes Mathematicae 569 (2021) 86 pp
  [pdf] • [arXiv] • [https://doi.org/10.4064/sm210127-23-3]
• [92] (mit/with Toshihiro Uemura) Homogenization of symmetric Lévy processes on R^d.
  Revue Roumaine de Mathématiques Pures et Appliquées 66 (2021) 243-253
  [pdf] • [arXiv] • [http://imar.ro/journals/Revue_Mathematique/pdfs/2021/1/17.pdf]
• [91] (mit/with Yuri Kondratiev and Yuliia Mishura) Asymptotic behaviour and functional limit theorems for a time changed Wiener process.
  Statistics and Probability Letters 170 (2021) 108997 (9 pp)
  [pdf] • [arXiv] • [https://doi.org/10.1016/j.spl.2020.108997]
• [90] (mit/with Kamil Kaleta) Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators.
  Journal of Functional Analysis 279 (2020) 108606 (69 pp)
  [pdf] • [arXiv] • [https://doi.org/10.1016/j.jfa.2020.108606]
• [89] (mit/with Georg Berschneider) Die Poisson-Verteilung, Fußballtore und das Gesetz der kleinen Zahlen
  Der Mathematikunterricht 65 Heft 6 (2019) 40-53
  [pdf] • [arXiv] • [journal] • DOI:
• [88] (mit/with Mingjie Liang and Jian Wang) A unified approach to coupling SDEs driven by Lévy noise and some applications.
  Bernoulli 26 (2020) 664-693
  [pdf] • [arXiv] • [https://doi.org/10.3150/19-BEJ1148]
• [87] (mit/with Changsong Deng) Exact Asymptotic Formulas for the Heat Kernels of Space and Time-Fractional Equations.
  Fractional Calculus and Applications 22 (2019) 968-989
  [pdf] • [arXiv] • [https://doi.org/10.1515/fca-2019-0052]
• [86] (mit/with Björn Böttcher and Martin Keller-Ressel)  Distance multivariance: new dependence measures for random vectors. (plus 9 pp. online supplement)
  The Annals of Statistics 47 (2019) 2757-2789
  [pdf] • [arXiv] • [https://doi.org/10.1214/18-AOS1764] • [Supplement https://doi.org/10.1214/18-AOS1764SUPP]
• [85] (mit/with Franziska Kühn) Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs.
  Stochastic Processes and their Applications 129 (2019) 2654-2680.
  [pdf] • [correction of misprints] • [arXiv] • [https://doi.org/10.1016/j.spa.2018.07.018]
• [84] (mit/with Franziska Kühn) A probabilistic proof of Schoenberg's theorem.
  Journal of Mathematical Analysis and Applications 476 (2019) 13-26
  [pdf] • [arXiv] • [https://doi.org/10.1016/j.jmaa.2018.11.046]
• [83] (mit/with Franziska Kühn) On the domain of fractional Laplacians and related generators of Feller processes.
  Journal of Functional Analysis 276 (2019) 2397-2439
  [pdf] • [arXiv] •  [https://doi.org/10.1016/j.jfa.2018.12.011] 
• [82] (mit/with Ante Mimica & Nikola Sandric)  Markov chain approximation of pure jump processes.
  Acta Applicandae Mathematica 158 (2018) 167-206
  [pdf] • [arXiv] • [https://doi.org/10.1007/s10440-018-0179-9]
• [81] (mit/with Björn Böttcher and Martin Keller-Ressel)  Detecting independence of random vectors: generalized distance covariance and Gaussian covariance. Modern Stochastics: Theory and Applications 5 (2018) 353-383
  [pdf] • [arXiv] • [https://doi.org/10.15559/18-VMSTA116]
• [80] (mit/with Victoria Knopova) A Probabilistic proof of the breakdown of Besov regularity in L-shaped domains.
  In: Eberle, A. et al: Stochastic Partial Differential Equations and Related Fields (Conference Proceedings in Honor of Michael Röckner, Bielefeld, Germany, October 10-14 2016). Springer, Proceedings in Mathematics & Statistics 229, Cham 2018, pp. 473-488..
   [pdf] • [arXiv] • [https://doi.org/10.1007/978-3-319-74929-7-32]
• [79] (mit/with Chang-Song Deng) Harnack inequalities for SDEs driven by time-changed Brownian motions.
  Electronic Journal of Probability 22 (2017) no. 71 pp. 1-23
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/17-EJP82]
• [78] (mit/with Chang-Song Deng and Yan-Hong Song) Sub-geometric rates of convergence for Markov processes under subordination
  Advances in Applied Probability 49 (2017) 162-181.
  [pdf] • [arXiv] • [https://doi.org/10.1017/apr.2016.83]
• [77] mit/with Zoran Vondracek) Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process.
  Trans. Am. Math. Soc. 369 (2017) 1547-1577
  [pdf] • [arXiv] • [https://dx.doi.org/10.1090/tran/6757]
• [76] (mit/with Chang-Song Deng) Complete Bernstein functions and subordinators with nested ranges. A note on a paper by P. Marchal..
  Electronic Communications in Probability 21 (2016) paper 78, pp. 1-5
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/16-ECP31]
• [75] (mit/with Franziska Kühn) Moderate deviations and Strassen's law for additive processes. 
  J. Theor. Probab. 29 (2016) 632-652.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s10959-014-0584-6]
• [74] (mit/with Boris Baeumer, Mihály Kovács, Mark M. Meerschaert, Peter Straka) Reflected stable processes and their governing equations 
  Transactions of the American Mathematical Society 368 (2016) 227-248
  [pdf]  • [arXiv] • [https://dx.doi.org/10.1090/tran/6360]
• [73] (mit/with Victoria Knopova) On level and collision sets of some Feller processes
  ALEA Latin American Journal of Probability and Mathematical Statistics 12 (2015) 1001-1029.
  [pdf] • [arXiv] • [journal] • DOI:
• [72] (mit/with Mihály Kovács and Felix Lindner) Weak convergence of finite element approximations of linear stochastic evolution equations with Lévy noise.
  SIAM/ASA Journal on Uncertainty Quantification 3 (2015) 1159-1199
  [pdf] • [arXiv] • [https://dx.doi.org/10.1137/15M1009792]
• [71] (mit/with Chang-Song Deng) On a Cameron-Martin type quasi-invariance theorem and applications to subordinate Brownian motion.
  Stochastic Analysis and Applications 33 (2015) 975-993.
  [pdf] • [arXiv]  • [https://dx.doi.org/10.1080/07362994.2015.1061439] 
• [70] (mit/with Marcin Magdziarz) Asymptotic properties of Brownian motion delayed by inverse subordinators. 
  Proceedings of the American Mathematical Society 143 (2015) 4485-4501
  [pdf] • [arXiv] • [https://dx.doi.org/10.1090/proc/12588]
• [69] (mit/with Chang-Song Deng) On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes.
  Stochastic Processes and their Applications 125 (2015) 3851-3878
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/j.spa.2015.05.013]
• [68] (mit/with Victoriya Knopova, Jian Wang) Lower bounds of the Hausdorff dimension for the images of Feller processes. 
  Statistics and Probability Letters 97 (2015) 222-228
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/j.spl.2014.11.027]
• [67] Martingales. In: James D. Wright (editor-in-chief): International Encyclopedia of the Social & Behavioral Sciences (2nd ed), Vol 14. Oxford: Elsevier. pp. 630–634.
  [pdf]  •  [preprint]  •  [https://dx.doi.org/10.1016/b978-0-08-097086-8.42109-4]
• [66] (mit/with Jian Wang) Lower bounded semi-Dirichlet forms associated with Lévy type operators. In: Z-Q. Chen, N. Jacob, M. Takeda, T. Uemura: Festschrift Masatoshi Fukushima. In Honor of Masatoshi Fukushima's Sanju. World Scientific, New Jersey 2015, pp. 507-527.
  [pdf]  • [arXiv] • [https://dx.doi.org/10.1142/9789814596534_0025]
• [65] (mit/with Mark Meerschaert, Alla Sikorskii) Stochastic solutions for fractional wave equations.
  Nonlinear Dynamics 80 (2015) 1685-1695.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s11071-014-1299-z]
• [64] (mit/with Nikolai Leonenko, Mark Meerschaert, Alla Sikorskii) Correlation structure of time-changed Lévy processes. 
  Communications in Applied and Industrial Mathematics 6 (2014), p. e-483 (22 pp.).
  [pdf] • [arXiv] • [https://dx.doi.org/10.1685/journal.caim.483]
• [63] (mit/with Gilles Guillot, Emilio Porcu, Moreno Bevilacqua) Validity of covariance models for the analysis of geographical variation. Methods in Ecology and Evolution 5 (2014) 329-335.
  [pdf]  • [arXiv] • [https://dx.doi.org/10.1111/2041-210x.12167]
• [62] (mit/with P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter) On the convergence analysis of spatially adaptive Rothe methods. Foundations of Computational Mathematics 14 (2014) 863-912.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s10208-013-9183-7]
• [61] (mit/with Victorya Knopova) On the small-time behaviour of Lévy-type processes. Stochastic Processes and their Applications 124 (2014) 2249-2265
  [pdf]  • [arXiv] • [https://dx.doi.org/10.1016/j.spa.2014.02.008]
• [60] (mit/with Mikhail Lifshits, Ilya Tyurin) A probabilistic inequality related to negative definite functions. 
  In: C. Houdre et al. (eds.): High Dimensional Probability VI. The Banff Volume. Birkhäuser, Progress in Probability 66, Basel 2013, pp. 73-80.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/978-3-0348-0490-5_5]
• [59] (mit/with Jian Wang) Some theorems on Feller processes: transience, local times and ultracontractivity.
  Trans. Am. Math. Soc. 365 (2013) 3255-3286.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1090/s0002-9947-2012-05738-2]
• [58] (mit/with Felix Lindner) Weak order for the discretization of the stochastic heat equation driven by impulsive noise.
  Potential Analysis 38 (2013) 345-379.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s11118-012-9276-y]
• [57] (mit/with Victorya Knopova) A note on the existence of transition probability densities for Lévy processes.
  Forum Math. 25 (2013) 125-149.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1515/form.2011.108]
• [56] (mit/with Krzysztof Burdzy & Tadeusz Kulczycki) Stationary distributions for jump processes with inert drift.
  In: J. Feng, Y. Hu, E. Nualart and V. Viens (eds.): Malliavin Calculus and Stochastic Analysis. A Festschrift in Honour of David Nualart . Springer Proceedings in Mathematics and Statistics 34, Springer, New York 2013, pp. 139-172.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/978-1-4614-5906-4_7]
• [55] (mit/with Yana A. Butko, Oleg G. Smolyanov) Lagrangian and Hamiltonian Feynman Formulae for some Feller Semigroups and Their Perturbations.
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 (2012) 1250015 (26 pages)
  [pdf] • [arXiv] • [https://dx.doi.org/10.1142/s0219025712500154]
• [54] (mit/with Jian Wang) Functional inequalities and subordination: stability of Nash and Poincaré inequalities.
  Math. Z. 272 (2012) 921-936
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s00209-011-0964-x]
• [53] (mit/with Pawel Sztonyk, Jian Wang) Coupling property and gradient estimates for Lévy processes via the symbol.
  Bernoulli 18 (2012) 1128-1149
  [pdf] • [arXiv] • [https://dx.doi.org/10.3150/11-bej375]
• [52] (mit/with Jian Wang) Strong Feller continuity of Feller processes and semigroups.
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 (2012) 1250010-1 - 1250010-28
  [pdf] • [arXiv] • [https://dx.doi.org/10.1142/s0219025712500105]
• [51] (mit/with Davar Khoshnevisan, Yimin Xiao) Packing Dimension Profiles and Lévy Processes.
  Bull. London Math. Soc. 44 (2012), 931-942.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1112/blms/bds022]
• [50] (mit/with John Oberdick, Karl Schilling) Towards an efficient and integrative analysis of limited-choice behavioral experiments.
  The Journal of Neuroscience 32 (2012), 12651-12656. (Toolbox paper)
  [pdf] • [arXiv] • [https://dx.doi.org/10.1523/jneurosci.1452-12.2012]
• [49] (mit/with P. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter) Adaptive Wavelet Methods for the stochastic Poisson Equation. BIT Numer. Math. 52 (2012), 589-614
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s10543-011-0368-7]
• [48] (mit/with Krzysztof Burdzy & Tadeusz Kulczycki) Stationary distributions for jump processes with memory.
  Ann. Inst. Henri Poincaré: Probab. & Stat. 48 (2012) 609-630.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/11-aihp428]
• [47] (mit/with Niels Jacob, Victorya Knopova, Sandra Landwehr) A geometric interpretation of the transition density of a symmetric Lévy process.
  Science China: Mathematics 55 (2012), 1099-1126.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s11425-012-4368-0]
• [46] (mit/with Jian Wang) On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes.
  J. Evol. Equ. 12 (2012) 119-140.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s00028-011-0126-y]
• [45] (mit/with Victorya Knopova) Transition density estimates for a class of Lévy and Lévy-type processes.
  J. Theor. Probab. 25 (2012) 144-170.
  [pdf] (with corrections) • [arXiv] • [https://dx.doi.org/10.1007/s10959-010-0300-0]
• [44] (mit/with Toshihiro Uemura) On the structure of the domain of a symmetric jump type Dirichlet form.
  Publ. RIMS Kyoto Univ. 40 (2012), 1-20.
  [pdf] • [arXiv] • [https://dx.doi.org/10.2977/prims/58]
• [43] (mit/with P. Cioica, S. Dahlke, S. Kinzel, F. Lindner, T. Raasch, K. Ritter) Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz domains.
  Studia Math. 207 (2011) 197-234.
  [pdf] • [arXiv] • [https://dx.doi.org/10.4064/sm207-3-1]
• [42] (mit/with Björn Böttcher, Yana A. Butko & Oleg G. Smolyanov) Feynman formulas and path integrals for some evolution equations related to \tau-quantization.
  Russ. J. Math. Phys .18 (2011) 387-399.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1134/s1061920811040017]
• [41] (mit/with Sebastian Harth, Elke R. Gizewski, Martin Obert, Christina Schulte-Gers & Marcel A. Verhoff) Age and gender dependent bone density changes of the human skull disclosed by high-resolution flat-panel computed technology.
  Intnl. J. Legal Medicine 125 (2011) 417-425.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s00414-010-0544-3]
• [40] (mit/with Jian Wang) On the coupling property of Lévy processes.
  Ann. Inst. Henri Poincaré: Probab & Stat 47 (2011), 1147-1159.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/10-aihp400]
• [39] (mit/with Yana A. Butko & Oleg G. Smolyanov) Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass.
  Int. J. Theor. Physics 50 (2011), 2009-2018.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s10773-010-0538-4]
• [38] (mit/with Björn Böttcher & Jian Wang) Constructions of Coupling Processes for Lévy Processes and Their Applications.
  Stochastic Processes and their Applications 121 (2011) 1201-1216
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/j.spa.2011.02.007]
• [37] (mit/with Emilio Porcu) From Schoenberg to Pick-Nevanlinna: towards a complete picture of the variogram class.
  Bernoulli 17 (2011) 441-455
  [pdf] • [arXiv] • [https://dx.doi.org/10.3150/10-bej277]
• [36] (mit/with Alexander Schnurr) The symbol associated with the solution of a stochastic differential equation.
  El. J. Probab. 15 (2010) 1369-1393
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/ejp.v15-807]
• [35] (mit/with Ya. A. Butko & O.G. Smolyanov) Feynman Formulae for Feller Semigroups.
  Doklady Mathematics 82 (2010) 679-683.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1134/s1064562410050017]
  Russian Original: Formuly Feynmana dlya Fellerovskich Polugrupp
  Dokladi Adademii Nauk 434 (2010) 1-5.
  [pdf] • [arXiv] • [journal]
• [34] (mit/with Sebastian Harth, Monika Kläver, Martin Obert, Frank Ramsthaler, Christina Schulte-Geers, Horst Traupe & Marcel Veerhoff) High-resolution flat-panel volumetric CT images show no correlation between human age and suture obliteration - independent of sex.
  Forensic Science International 200 (2010) 180.e1-180e.12.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/j.forsciint.2010.04.006]
• [33] (mit/with Guido Germano, Mauro Politi & Enrico Scalas) Itô and Stratonovich integrals on compound renewal processes: the normal/Poisson case.
  Comm. Nonlinear Sci. Numer. Sim. 15 (2010), 1583-1588.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/j.cnsns.2009.06.010]
• [32] (mit/with Niels Jacob) Extended L ^p Dirichlet spaces.
  In: Ari Laptev (ed.): Around the Research of Vladimir Maz'ya - Vol. 1: Function Spaces, Springer, Berlin 2009, 221-238.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/978-1-4419-1341-8_9]
• [31] (mit/with Guido Germano, Mauro Politi & Enrico Scalas) Stochastic calculus for uncoupled continuous-time random walks.
  Physical Reviews E 79 (2009) 066102 1-12
  [pdf] • [arXiv] • [https://dx.doi.org/10.1103/physreve.79.066102]
• [30] (mit/with Björn Böttcher) Approximation of Feller processes by Markov chains with Lévy increments.
  Stochastics and Dynamics 9 (2009) 71-80.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1142/s0219493709002555]
• [29] (mit/with T. Uemura) On the Feller property of Dirichlet forms generated by pseudo differential operators.
  Tohoku Math. J. 59 (2007), 401-422
  [pdf] • [arXiv] • [https://dx.doi.org/10.2748/tmj/1192117985] • [click here for the unabridged version ]
• [28] (mit/with N. Jacob) On a Poincaré inequality for energy forms in L ^p .
  Med. J. Math. 4 (2007), 33-44.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s00009-007-0100-7]
• [27] (mit/with N. Jacob) Towards an L ^p -potential theory for sub-Markovian semigroups: kernels and capacities,
  Acta Math. Sinica 22 (2006), 1227-1250.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s10114-005-0758-3]
• [26] (mit/with N. Jacob) Function Spaces as Dirichlet Spaces -- About a Paper by Maz'ya and Nagel
  Z. Analysis Anwendungen 24 (2005), 3-28
  [pdf] • [arXiv] • [https://dx.doi.org/10.4171/zaa/1228]
• [25] A note on invariant sets,
  Probab. Math. Stat. 24 (2004), 47-66
  [pdf] • [arXiv] • [journal] • DOI:
• [24] (mit/with V.N. Kolokol'tsov & A.E. Tyukov) Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations,
  Revista Mat. Iberoam. 20 (2004), 333-380.
  [pdf] • [arXiv] • [https://dx.doi.org/10.4171/rmi/392]
• [23] (mit/with T. Koscheck, K. Schilling & A. Weyer) Morphological developmment and neurochemical differentiation of cerebellar inhibitory interneurons in microexplant cultures, 
  Neuroscience 116 (2003), 973-984
  [pdf] • [arXiv] • [https://dx.doi.org/10.1016/s0306-4522(02)00770-4]
• [22] (mit/with V.N. Kolokol'tsov & A.E. Tyukov) Transience and non-explosion of certain stochastic Newtonian systems,
  Elect. J. Probab. 7 (2002), paper 19, 1-19
  [pdf] • [arXiv] • [https://dx.doi.org/10.1214/ejp.v7-118]
• [21] Dirichlet operators and the positive maximum principle,
  Integr. Equ. Oper. Theory 41 (2001), 74-92.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/bf01202532]
• [20] (mit/with N. Jacob) Lévy-type processes and pseudo differential operators. In: O. Barndorff-Nielsen, T. Mikosch and S. Resnick (eds.): Lévy processes: theory and applications , Birkhäuser, Boston 2001, 139 -167.
  [pdf] • [arXiv] • [google books] • [https://dx.doi.org/10.1007/978-1-4612-0197-7_7]
• [19] (mit/with W. Farkas & N. Jacob) Function spaces related to continuous negative definite functions: $\psi$ - Bessel potential spaces,
  Dissertationes Mathematicae CCCXCIII (2001), 1-62.
  [pdf] • [arXiv] • [https://dx.doi.org/10.4064/dm393-0-1]
• [18] (mit/with W. Farkas & N. Jacob) Feller semigroups, L ^p -sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols,
  Forum Math. 13 (2001), 51-90.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1515/form.2001.51]
• [17] Function spaces as path spaces of Feller processes,
  Math. Nachr. 217 (2000), 147-174.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1002/1522-2616(200009)217:1<147::aid-mana147>3.0.co;2-r]
• [16] (mit/with N. Jacob) Fractional derivatives, non-symmetric and time-dependent Dirichlet forms, and the drift form,
  Z. Analysis Anwendungen 19 (2000), 801-830.
  [pdf] • [arXiv] • [https://dx.doi.org/10.4171/zaa/981]
• [15] Sobolev embedding for stochastic processes,
  Expo. Math. 18 (2000), 239-242.
  [pdf] • [arXiv] • [journal] • DOI:
• [14] (mit/with N. Jacob) Some Dirichlet spaces obtained by subordinate reflected diffusions,
  Rev. Mat. Iberoam. 15 (1999), 59-91.
  [pdf] • [arXiv] • [https://dx.doi.org/10.4171/rmi/250]
• [13] Growth and Hölder conditions for the sample paths of Feller processes,
  Probab. Theor. Rel. Fields 112 (1998), 565-611.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s004400050201]
• [12] Conservativeness of semigroups generated by pseudo differential operators,
  Potential Analysis 9 (1998), 91-104.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1023/a:1008664419747]
• [11] Subordination in the sense of Bochner and a related functional calculus,
  J. Austral. Math. Soc. Ser. A 64 (1998), 368 -396.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1017/s1446788700039239]
• [10] (mit/with N. Jacob) An analytic proof of the Lévy-Khinchin formula on Rⁿ ,
  Publ. Math. Debrecen 53 (1998), 69-89.
  [pdf] • [arXiv] • [journal] • DOI:
• [09] Conservativeness and extensions of Feller semigroups,
  Positivity 2(1998), 239 - 256.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1023/a:1009748105208]
• [08] Feller processes generated by pseudo-differential operators: On the Hausdorff dimension of their sample paths,
  J. Theor. Probab. 11(1998), 303 - 330.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1023/a:1022678219821]
• [07] On Feller processes with sample paths in Besov spaces,
  Math. Ann. 309(1997), 663 - 675.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1007/s002080050132]
• [06] Comparable processes and the Hausdorff dimension of their sample paths,
  Stochastics and Stochastics Reports 57 (1996), 89-110.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1080/17442509608834053]
• [05] (mit/with N. Jacob) Estimates for Feller semigroups generated by pseudodifferential operators,
  in: J. Rákosník: Function Spaces, Differential Operators and Nonlinear Analysis . Proceedings of the Conference, Paseky nad Jizerou, September 3-9, 1995, Prometheus Publishing House 1996, 27 - 49.
  [pdf] • [arXiv] • [book chapter] • DOI:
• [04] On the domain of the generator of a subordinate semigroup,
  in: J. Král et al. (eds.): Potential Theory - ICPT 94 Proceedings of the International Conference on Potential Theory , Kouty, Czech Republik 1994, de Gruyter, Berlin 1996, 449-462.
  [pdf] • [arXiv] • [google books] • [https://dx.doi.org/10.1515/9783110818574.449]
• [03] (mit/with N. Jacob) Subordination in the sense of S. Bochner - An approach through pseudo differential operators,
  Math. Nachr. 176(1996), 199 - 231.
  [pdf] • [arXiv] • [https://dx.doi.org/10.1002/mana.19961780110]
• [02] Zum Pfadverhalten von Markovschen Prozessen, die mit Lévy-Prozessen vergleichbar sind,
  Dissertation Universität Erlangen 1994.
  [pdf]
• [01] When does a càdlàg process have continuous sample paths?,
  Expo. Math. 12 (1994), 255-261.
  [pdf] • [arXiv] • [journal] • DOI: