Forschung

Thesis

• Infinitely divisible and related distributions and Lévy driven stochastic partial differential equations, Doctoral Thesis, Ulm University 2019
• CARMA Random Fields, Master Thesis, Ulm University 2017, supervisor: Prof. Dr. Alexander Lindner, Prof. Dr. Mitja Stadje
• A weighted p-Laplacian Evolution Equation with Dirichlet Boundary Conditions, Bachelor Thesis, Ulm University 2016, supervisor: Prof. Dr. Evgeny Spodarev

Accepted/Published Paper(s)

• On quasi-infinitely divisible distributions with a point mass, Math. Nachr. (2019), 292, 1674–1684  arXiv-version
• On the integral modulus of infinitely divisible distributions, J. Math. Anal. Appl. (2020), 486 (1), 123836 arXiv-Version
• Lévy driven CARMA generalized processes and stochastic partial differential equations, Stoch. Process. Their Appl. (2020), 130 (10), 5865-5887 arXiv-Version
• (with René Schilling) The (strong) Liouville property for a class of non-local operators, Math. Scand. (2022), 128(2),  arXiv-Version
•  (with Alexander Lindner) Cramér--Wold device for infinite divisibility of Z^d-valued distributions, Bernoulli (2022), 28 (2), 1276-1283 arXiv-Version
• (with Farid Mohamed) Second order elliptic partial differential equations driven by Lévy white noise, Mod. Stoch.: Theory Appl. (2021),  8 (2), 179–207 arXiv-Version
• (with Franziska Kühn and René Schilling) Lévy Processes, Martingales and Uniform Integrability, Probability and Mathematical Statistics (2022), 42 (1), 109-131 arXiv-Version
• (with Alexander Lindner and Merve Kutlu) On multivariate quasi-infinitely divisible distributions,  Chapter in A Lifetime of Excursions through Random Walks and L\'evy Processes, Progress in Probability 78, Springer Nature, Schweiz   arXiv-Version

• (with Merve Kutlu) Quasi-infinite divisibility of a class of distributions with discrete part, (mit Merve Kutlu), accepted in PAMS (2022+) arXiv-Version

Preprint(s)

• Central limit theorems for moving average random fields with non-random and random sampling on lattices (2019), submitted arXiv-version
• Lévy driven linear and semilinear stochastic partial differential equations (2019), submitted arXiv-version
• (with René Schilling and Eugene Shargorodsky) The Liouville Theorem for a class of Fourier Multipliers and its connection to coupling (2022), submitted, arXiv-version

• (with Farid Mohamed) Almost periodically stationary processes (2022), submitted arXiv-version

Conferences

• Gemeinsame Jahrestagung GDM und DMV 2018, March 05-09, 2018, Paderborn, Germany. (Talk)
• 13th German Probability and Statistics Days, February 27 - March 02, 2018, Freiburg, Germany. (Talk)
• Workshop on Lévy Processes and Time Series: In Honour of Peter Brockwell and Ross Maller, September 11-15, 2017, Ulm, Germany. (Poster)