WiSe 2022/23: Stochastik für die Informatik

Link zur Vorlesungsseite: https://moodle.studiumdigitale.uni-frankfurt.de/moodle/course/view.php?id=3515

Link zum Eintrag im Vorlesungsverzeichnis: https://qis.server.uni-frankfurt.de/qisserver/rds?state=verpublish&status=init&vmfile=no&moduleCall=webInfo&publishConfFile=webInfo&publishSubDir=veranstaltung&veranstaltung.veranstid=338582

• Particle systems with coordination. With Adrian Gonzalez Casanova and Andras Tobias. ALEA 18, 1817-1844 (2021). ArXiv:2001.05802
• Seed bank models in population genetics. With Jochen Blath. In: Probabilistic Structures in Evolution (E. Baake and A. Wakolbinger, eds.), EMS Press, Berlin (2021).
• The seed bank coalescent with simultaneous switching. With Jochen Blath, Adrian Gonzalez Casanova, and Maite Wilke Berenguer. Electron. Journal Probab. 25, paper no. 27 (2019).
• Probability to be positive for the membrane model in dimensions 2 and 3. With Simon Buchholz, Jean-Dominique Deuschel and Florian Schweiger. Electron. Commun. Probab. 24 , paper no. 44 (2019). arXiv
• Exponential decay of covariances for the supercritical membrane model. With Erwin Bolthausen and Alessandra Cipriani. Comm. Math. Phys. 353(3), 1217-1240 (2017). arXiv:1609.04258
• Recursions for the exchangeable partition function of the seed-bank coalescent. With Mathias Rafler. Theor. Pop. Biol. 114, 95 - 106 (2016)
• An individual-based mathematical model for the Lenski experiment, and the deceleration of the relative fitness. With Adrian Gonzalez Casanova, Anton Wakolbinger and Linglong Yuan. Stoch. Proc. Appl. 126, 2211-2252 (2016) arXiv 1505.0175
• Genetic variability under the seed bank coalescent. With Jochen Blath, Bjarki Eldon, Adrian Gonzalez Casanova and Maite Wilke Berenguer. Genetics 200(3), 921-934 (2015). Available online
• A new coalescent for seed-bank models. With Jochen Blath, Adrian Gonzalez Casanova, and Maite Wilke Berenguer. Annals of Applied Probability 26(2), 851-897 (2016). arXiv 1411:4747
• Strong seed-bank effects in bacterial evolution. With Adrian Gonzalez Casanova, Eneas Aguirre, Guadalupe Espin, Luis Servin-Gonzalez, Dario Spano, Jochen Blath and Gloria Soberon-Chavez. J. Theor. Biol. 356 (2014), 62--70.
• On the notion(s) of duality for Markov processes. With Sabine Jansen. Prob. Surveys 11 (2014), 59--120. arXiv:1210.7193
• Graphical representation of certain moment dualities and application to population models with balancing selection. With Sabine Jansen. Electron. Comm. Probab. 18 (2013), paper no. 14.
• The ancestral process of long-range seed bank models. With Jochen Blath, Adrian Gonzalez Casanova and Dario Spano. J. Appl. Prob. 50(3) (2013), 741--759, arXiv:1203.5202.
• Laplacian interface models with strictly convex potential. Markov Proc. Rel. Fields 18 (2012) 9--30.
• Survival and extinction of caring double-branching annihilating random walk. With Jochen Blath. Electron. Comm. Probab. 16 (2011) 271--282. pdf
• Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension. Ann. Probability, Vol. 37 (2009), No. 2, 687--725 PDF
• Entropic repulsion for a class of Gaussian interface models in high dimensions, Stoch. Proc. Appl. 117 (2007), 23-34 PDF .

• Stochastik für Informatiker. Eine Einführung in einheitlich strukturierten Lerneinheiten. Springer Vieweg, 2020. E-Book Errata

• Fast decay of covariances under delta-pinning in the critical and supercritical membrane model. With Erwin Bolthausen and Alessandra Cipriani. (arXiv only, 2016) arXiv 1601.01513.
• Bridging Math-Gaps with the Learning Environment MUMIE: The European Project S3M2 for the Enhancement of Student Mobility. With F. Daalderop, J. Daudt, M.Grudzinski, M. Hanke, A. Rasila, R. Seiler, H. Tiitu. Proceedings of the EADTU conference 2014 in Krakow.