Dr. Andrej Depperschmidt
Dr. Andrej Depperschmidt
Publications
- Stochastic evolution of genealogies of spatial populations: state description, characterization of dynamics and properties, arXiv-preprint, 2018.
(with Andreas Greven) - Random walks in dynamic random environments and ancestry under local population regulation, Electron. J. Probab. 21(38):1–43, 2016.
(with Matthias Birkner and Jiří Černý) - A mixing tree-valued process arising under neutral evolution with recombination, Electron. J. Probab. 20(94): 1–22, 2015.
(with Etienne Pardoux and Peter Pfaffelhuber) - Some large deviations in Kingman’s coalescent, Electron. Commun. Probab. 20(7): 1–14, 2015
(with Peter Pfaffelhuber and Annika Scheuringer) - Path-properties of the tree-valued Fleming-Viot process, Electron. J. Probab. 18(84): 1–47, 2013.
(with Andreas Greven and Peter Pfaffelhuber) - Directed random walk on the backbone of an oriented percolation cluster, Electron. J. Probab. 18(80): 1–35, 2013.
(with Matthias Birkner, Jiří Černý and Nina Gantert) - Asymptotic properties of certain diffusion ratchets with locally negative drift, ALEA Lat. Am. J. Probab. Math. Stat., 10: 157–190, 2013.
(with Sophia Götz) - A Brownian ratchet for protein translocation including dissociation of ratcheting sites, J. Math. Biol. 66(3): 505–534, 2013. (arXiv-version)
(with Nicolas Ketterer and Peter Pfaffelhuber) - Tree-valued Fleming-Viot dynamics with mutation and selection, Ann. Appl. Probab., 22(6): 2560–2615, 2012. (arXiv-version)
(with Andreas Greven and Peter Pfaffelhuber) - Marked metric measure spaces, Electron. Commun. Probab., 16: 174–188, 2011.
(with Andreas Greven and Peter Pfaffelhuber) - Asymptotics of a Brownian ratchet for Protein Translocation, Stochastic Process. Appl. 120(6): 901–925, 2010. (arXiv-version)
(with Peter Pfaffelhuber) - Survival, Complete Convergence and Decay of Correlations for a Spatial Branching System with Local Regulation. PhD thesis TU Berlin, 2008.
- Survival and complete convergence for a spatial branching system with local regulation, Ann. Appl. Probab., 17(5-6): 1777–1807, 2007. (arXiv-version)
(with Matthias Birkner)
Teaching
- WS 2018/19: Assistenz bei “Wahrscheinlichkeitstheorie” (FAU Erlangen-Nürnberg)
- SS 2018: Assistenz bei “Stochastische Modellbildung” (FAU Erlangen-Nürnberg)
- SS 2018: Wechselwirkende stochastische Systeme der mathematischen Biologie (FAU Erlangen-Nürnberg)
- WS 2017/18: Assistenz bei “Wahrscheinlichkeitstheorie” (FAU Erlangen-Nürnberg)
- SS 2017: Assistenz bei “Stochastische Modellbildung” (FAU Erlangen-Nürnberg)
- WS 2016/17: Assistenz bei “Wahrscheinlichkeitstheorie” (FAU Erlangen-Nürnberg)
- SS 2016: (elematare) Stochastik (Uni Freiburg)
- SS 2016: Praktische Übung zur Stochastik (Uni Freiburg)
- SS 2016: Markovketten (Uni Freiburg)
- WS 2015/16: Proseminar Kombinatorik (Uni Freiburg)
- WS 2014/15: Verzweigunsprozesse und Anwendungen (Uni Freiburg)
- SS 2014: Stochastik 1 (Uni Mainz)
- SS 2014: Hauptseminar “Markovketten” (Uni Mainz)
- SS 2014: Verzweigungsprozesse (Uni Mainz)
- WS 2013/14: Schreiben einer Mathematischen Arbeit (Uni Freiburg)
- SS 2013: Markovketten (Uni Freiburg)
- WS 2012/13: Assistenz bei Analysis I (Uni Freiburg)
- SS 2012: Assistenz bei Stochastische Integration und Finanzmathematik (Uni Freiburg)
- WS 2011/12: Stochastische Populationsmodelle (Uni Freiburg)
- SS 2011: Markovketten (Uni Freiburg)
- In 2003 – 2008 Assistenz bei folgenden Veranstaltungen (TU Berlin):
- Analysis I-II für Ingenieure, Mathematik für Informatiker, Stochastik für Informatiker,
- Statistik für Mathematiker, Stochastische Modelle, Wahrscheinlichkeitstheorie I-II,
- Analysis I für Mathematiker, Maß- und Integrationstheorie,
- Seminar “Markovprozesse und Anwendungen”
Chair of Mathematical Stochastics
Field of activity: Probability theory
Special interests
- Stochastic systems with interacting components
- Stochastic processes
- Measured processes
- Processes in random medium
- Large deviations
- Stochastic models of mathematical biology