Fakultäten der RUB » Fakultät für Mathematik » Lehrstühle » Juniorprofessur Stochastik

Forschungsinteressen

Meine Arbeiten stammen aus den Bereichen der Perkolation und der zufälligen dynamischen Systeme, wobei der Fokus derzeit auf der mathematischen Populationsgenetik liegt.


Publikationen und Preprints

"The effective strength of selection in random environment"
arXiv:1903.12121
with Adrián González Casanova and Dario Spanò

"Separation of time-scales for the seed bank diffusion and its jump-diffusion limit"
arXiv:1903.11795
with Jochen Blath, Eugenio Buzzoni and Adrián González Casanova

"The seed bank coalescent with simultaneous switching"
arXiv:1812.03783
with Jochen Blath, Adrián González Casanova and Noemi Kurt

--

"Structural properties of the seed bank and the two-island diffusion"
Journal of Mathematical Biology. Advance online publication. (2019)
https://doi.org/10.1007/s00285-019-01360-5
with Jochen Blath, Eugenio Buzzoni and Adrián González Casanova

"Robust model selection between population growth and multiple merger coalescents"
Mathematical Biosciences, Vol. 311, (May 2019), p. 1-12
https://doi.org/10.1016/j.mbs.2019.03.004
with Jere Koskela

"Random Delta-Hausdorff-Attractors."
Discrete and Continuous Dynamical Systems Series B, 23(3) (2018), 1199-1217,
DOI: 10.3934/dcdsb.2018061.
with Michael Scheutzow

"A new coalescent for seed-bank models."
Annals of Applied Probability 26 (2016), no. 2,857-891
with Jochen Blath, Adrián González Casanova and Noemi Kurt

"On the random dynamics of Volterra quadratic operators."
Ergodic Theory and Dynamical Systems, 16 (2016), 1-16
DOI: 10.1017/etds.2015.30.
with Uygun U. Jamilov and Michael Scheutzow

"Asymptotics for Lipschitz Percolation above tilted planes."
Electronic Journal of Probability 20 (2015), 23 pp.
with Alexander Drewitz and Michael Scheutzow

"Genetic variability under the seed bank coalescent."
Genetics 200, 921-934, (2015)
with Jochen Blath, Bjarki Eldon, Adrián González Casanova and Noemi Kurt


Lehre

SS 19
"Statistik 1 für Mathematiker"
(LV 150 242)

WS 18/19
"Einführung in die Theorie der Markovkette (Vorlesung und Seminar)"
(LV 150 272 und 150 273)