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Publication in academic press/journals (25)

1. Subordinated Bessel heat kernels

   Authors:

   Krzysztof Bogdan, Konstantin Merz

   Academic press:

   Theory of Probability and Mathematical Statistics (year: 2025, volume: 112, pages: 67-83), Publisher: AMS

   Status:

   Published

   DOI:

   10.1090/tpms/1227 – link to the publication

2. Constructon and heat kernel estimates of general stable-like Markov processes

   Authors:

   Victoria Knopova, Alexei Kulik, René Schilling

   Academic press:

   Dissertationes Mathematicae (year: 2021, volume: 569, pages: 86), Publisher: Institute of Mathematics, Polish Academy of Sciences

   Status:

   Published

   DOI:

   10.4064/dm824-8-2021 – link to the publication

3. Caloric functions and boundary regularity for the fractional Laplacian in Lipschitz open sets

   Authors:

   Gavin Armstrong, Krzysztof Bogdan, Artur Rutkowski

   Academic press:

   Mathematische Annalen (year: 2025, volume: 1, pages: 1199–1252), Publisher: Springer Nature

   Status:

   Published

   DOI:

   10.1007/s00208-024-02931-8 – link to the publication

4. An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions

   Authors:

   David Berger, René Schilling, Eugene Shargorodsky, Teo Sharia

   Academic press:

   Journal of Spectral Theory (year: 2024, volume: 14, pages: 665-695), Publisher: European Mathematical Society Publishing House

   Status:

   Published

   DOI:

   10.4171/JST/509 – link to the publication

5. Drift reduction method for SDEs driven by inhomogeneous singular Lévy noise

   Authors:

   Tadeusz Kulczycki, Oleksii Kulyk, Michał Ryznar

   Academic press:

   Bernoulli (year: 2024, volume: 30, pages: 3089-3118), Publisher: Bernoulli Society for Mathematical Statistics and Probability.

   Status:

   Published

   DOI:

   10.3150/23-BEJ1707 – link to the publication

6. The Liouville theorem for a class of Fourier multipliers and its connection to coupling

   Authors:

   David Berger, René Schilling, Eugene Shargorodsky

   Academic press:

   Bulletin of the London Mathematical Society (year: 2024, volume: 56, pages: 17), Publisher: Wiley

   Status:

   Published

   DOI:

   10.1112/blms.13060 – link to the publication

7. Second order elliptic partial differential equations driven by Levy white noise

   Authors:

   David Berger, Farid Mohamed

   Academic press:

   Modern Stochastics-Theory and Applications (year: 2021, volume: 8, pages: 179-207), Publisher: VteX

   Status:

   Published

   DOI:

   10.15559/21-VMSTA181 – link to the publication

8. For which functions are $f(X_t)-Ef(X_t)$ and $g(X_t)/E g(X_t)$ martingales?

   Authors:

   Franziska Kühn, René Schilling

   Academic press:

   Theory of Probability and Mathematical Statistics (year: 2021, volume: 105, pages: 79-91), Publisher: AMS

   Status:

   Published

   DOI:

   10.1090/tpms/1157 – link to the publication

9. Non-symmetric Lévy-type operators

   Authors:

   Jakub Minecki, Karol Szczypkowski

   Academic press:

   Mathematische Nachrichten (year: 2024, volume: 297, pages: 2234-2286), Publisher: Wiley

   Status:

   Published

   DOI:

   10.1002/mana.202300150 – link to the publication

10. The fractional Laplacian with reflections

    Authors:

    Krzysztof Bogdan, Markus Kunze

    Academic press:

    Potential Analysis (year: 2024, volume: 61, pages: 317–345), Publisher: Springer Nature

    Status:

    Published

    DOI:

    10.1007/s11118-023-10111-7 – link to the publication

11. Approximation of the invariant measure of stable SDEs by an Euler-Maruyama scheme

    Authors:

    Peng Chen, Changsong Deng, René Schilling, Lihu Xu

    Academic press:

    Stochastic Processes and Their Applications (year: 2023, volume: 163, pages: 136-167), Publisher: Elsevier

    Status:

    Published

    DOI:

    10.1016/j.spa.2023.06.001 – link to the publication

12. Maximal inequalities and applications

    Authors:

    Franziska Kühn, René Schilling

    Academic press:

    Probability Surveys (year: 2023, volume: 20, pages: 382-485), Publisher: Institute of Mathematical Statistics

    Status:

    Published

    DOI:

    10.1214/23-PS17 – link to the publication

13. Small time chaos approximations of heat kernels of multidimensional diffusions

    Authors:

    Dmytro Ivanenko, Arturo Kohatsu-Higa, Alexi Kulik

    Academic press:

    BIT Numerical Mathematics (year: 2023, volume: 63, pages: 34), Publisher: Springer

    Status:

    Published

    DOI:

    10.1007/s10543-023-00949-z – link to the publication

14. Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups

    Authors:

    Franziska Kühn, René Schilling

    Academic press:

    Studia Mathematica (year: 2022, volume: 262, pages: 93-119), Publisher: IM PAN

    Status:

    Published

    DOI:

    10.4064/sm210127-23-3 – link to the publication

15. Maximum likelihood estimation for discrete exponential families and random graphs

    Authors:

    Krzysztof Bogdan, Michał Bosy, Tomasz Skalski

    Academic press:

    ALEA. Latin American Journal of Probability and Mathematical Statistics (year: 2022, volume: 19, pages: 1045–1070), Publisher: Inst. Mat. Pura Apl. (IMPA)

    Status:

    Published

    DOI:

    10.30757/ALEA.v19-43 – link to the publication

16. On weak solution of SDE driven by inhomogeneous singular Lévy noise

    Authors:

    Tadeusz Kulczycki, Alexei Kulik, Michał Ryznar

    Academic press:

    Transactions of the American Mathematical Society (year: 2022, volume: 375 (7), pages: 4567-4618), Publisher: AMS

    Status:

    Published

    DOI:

    10.1090/tran/8612 – link to the publication

17. Singular integrals of subordinators with applications to structural properties of SPDEs

    Authors:

    Changsong Deng, Lihu Xu, René Schilling

    Academic press:

    Transactions of the American Mathematical Society (year: 2022, volume: 375, pages: 6043-6073), Publisher: AMS

    Status:

    Published

    DOI:

    10.1090/tran/8595 – link to the publication

18. On q-scale functions of spectrally negative Lévy processes

    Authors:

    Anita Behme, David Oechsler, René Schilling

    Academic press:

    Advances in Applied Probability (year: 2023, volume: 55, pages: 56-84), Publisher: Cambridge Univ. Press

    Status:

    Published

    DOI:

    10.1017/apr.2022.10 – link to the publication

19. Quasi-infinite divisibility of a class of distributions with discrete part

    Authors:

    David Berger, Merve Kutlu

    Academic press:

    Proceedings of the American Mathematical Society (year: 2023, volume: 151, pages: 2211-2224), Publisher: AMS

    Status:

    Published

    DOI:

    10.1090/proc/16312 – link to the publication

20. Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel

    Authors:

    Tomasz Jakubowski, Karol Szczypkowski

    Academic press:

    Journal d'Analyse Mathématique (year: 2024, volume: 162, pages: 255-282), Publisher: Hebrew University Magnes Press

    Status:

    Published

    DOI:

    10.1007/s11854-023-0299-7 – link to the publication

21. Anomalous diffusion limit for a kinetic equation with a thermostatted interface

    Authors:

    Krzysztof Bogdan, Tomasz Komorowski, Lorenzo Marino

    Academic press:

    Probability Theory and Related Fields (year: 2023, volume: 46024, pages: 721-769), Publisher: Springer-Verlag

    Status:

    Published

    DOI:

    10.1007/s00440-023-01251-3 – link to the publication

22. Lévy processes, generalized moments and uniform integrability

    Authors:

    David Berger, Franziska Kühn, René Schilling

    Academic press:

    Probability and Mathematical Statistics (year: 2022, volume: 42, pages: 109-131), Publisher: Wrocław University of Science and Technology Publishing House

    Status:

    Published

    DOI:

    10.37190/0208-4147.00045 – link to the publication

23. Relativistic stable operators with critical potentials

    Authors:

    Tomasz Jakubowski, Kamil Kaleta, Karol Szczypkowski

    Academic press:

    Documenta Mathematica (year: 2024, volume: 29, pages: 209–245), Publisher: Deutsche Math. Ver. EMS Press

    Status:

    Published

    DOI:

    10.4171/DM/945 – link to the publication

24. Bound States and Heat Kernels for Fractional-Type Schrödinger Operators with Singular Potentials

    Authors:

    Tomasz Jakubowski, Kamil Kaleta, Karol Szczypkowski

    Academic press:

    Communications in Mathematical Physics (year: 2023, volume: 403, pages: 795–828), Publisher: Springer-Verlag

    Status:

    Published

    DOI:

    10.1007/s00220-023-04810-w – link to the publication

25. On the Liouville and strong Liouville properties for a class of non-local operators

    Authors:

    David Berger, René Schilling

    Academic press:

    Mathematica Scandinavica (year: 2022, volume: 128, pages: 365-388), Publisher: Mathematica Scandinavica

    Status:

    Published

    DOI:

    10.7146/math.scand.a-132068 – link to the publication