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 Research Report for 2013

Abteilung für Mathematische Stochastik

Prof. Dr. Peter Pfaffelhuber

Eckerstr. 1
79104 Freiburg
Tel: 0761/203-5664 Fax: 0761/203-5661
Email sekretariat@stochastik.uni-freiburg.de
http://www.stochastik.uni-freiburg.de/


Scientific Employees

  • Prof. Dr. Peter Pfaffelhuber, Leitung (m/w)
  • Dr. Andrej Depperschmidt, Postdoc (m/w)
  • Franz Baumdicker, Doktorand (m/w)
  • Sebastian Bossert, Doktorand (m/w)
  • Peter Czuppon, Doktorand (m/w)
  • Maximilian Gerhards, Doktorand (m/w)
  • Felix Hermann, Doktorand (m/w)
  • DPhil Bence Mélykúti, Gastwissenschaftler (m/w)
  • PD Dr. Dr. Heinz Weisshaupt, Postdoc (m/w)
Entries in "Who is Who"

Main Research

  • Stochastik, Biomathematik

Scientific and Research Projects


  • Bacterial population genomics.
    • Project Manager: Prof. Dr. Peter Pfaffelhuber
    • Start/End of project: 01.05.2008 until 31.12.2015
    • Project Details
  • Muller's ratchet
    • Project Manager: Prof. Dr. Peter Pfaffelhuber
    • Start/End of project: 01.04.2008 until 31.12.2014
    • Project Details
  • Quorum sensing in bacteria
    • Project Manager: Prof. Dr. Peter Pfaffelhuber
    • Start/End of project: 01.04.2008 until 31.12.2015
    • Project Details
  • The signature of strong positive selection in natural populations.
    • Project Manager: Prof. Dr. Peter Pfaffelhuber
    • Start/End of project: since 2006
    • Project Details
  • Tree-valued stochastic processes
    • Project Manager: Prof. Dr. Peter Pfaffelhuber
    • Start/End of project: since 2005
    • Project Details

Scientific publications

Journal Articles:
  • Birkner M, Cerny J, Depperschmidt A, Gantert N: Directed random walk on the backbone of an oriented percolation cluster. Electronic Journal of Probability, 2013; 18 (80) (online): 1-35.
  • Bossert S, Pfaffelhuber P: The Yule approximation for the site frequency spectrum after a selective sweep. Plos One, 2013; 8 (12) (online): e81738. : http://dx.doi.org/10.1371/journal.pone.0081738
  • Depperschmidt A, Götz S: Asymptotic properties of certain diffusion ratchets with locally negative drift. Alea-lat Am J Probab, 2013; 10: 157-190.
  • Depperschmidt A, Greven A, Pfaffelhuber P: Path-properties of the tree-valued Fleming-Viot process. Electronic Journal of Probability, 2013; 18 (84) (online): 1-47. : http://arxiv.org/abs/1212.5386
  • Depperschmidt A, Ketterer N, Pfaffelhuber P: A Brownian ratchet for protein translocation including dissociation of ratcheting sites. J Math Biol, 2013; 66: 505-534. : http://arxiv.org/abs/1107.5219
  • Greven A, Pfaffelhuber P, Winter A: Tree-valued resampling dynamics. Martingale problems and applications. Probab Theory Rel, 2013; 155: 789-838. : http://arxiv.org/abs/0806.2224
  • Haubold B, Krause L, Horn T, Pfaffelhuber P: An alginment-free test for recombination. Bioinformatics, 2013; 29 (24): 3121-3127.
  • McIntosh M, Czuppon P, Best K, Becker A, Pfaffelhuber P: Modeling Quorum Sensing in "Sinorhizobium meliloti". Indian J Biochem Bio, 2013; 2 (1): 59-74.
  • Mélykúti B, Hespanha J P, Khammash M: Equilibrium distributions of simple biochemical reaction systems for time-scale separation in stochastic reaction networks. submitted, 2013. (in Druck)
  • Pokalyuk C, Mathew L, Metzler D, Pfaffelhuber P: The rate of adaption in structured populations. Theor Popul Biol, 2013; 90: 1-11.
  • Pokalyuk C, Pfaffelhuber P: The ancestral selection graph under strong directional selection. Theor Popul Biol, 2013; 87: 25-33.

Special Scientific Activities

Invited Speech:
  • DPhil Bence Mélykúti: A mathematical comparison of transcription factor-facilitated mechanisms of gene regulation (invited speech), 14th International Conference on Systems Biology (ICSB 2013), Copenhagen (DK), 30.08.2013 bis 03.09.2013.
  • DPhil Bence Mélykúti: Equilibrium distributions of simple biochemical reaction systems for time-scale separation in stochastic reaction networks (invited speech), 36th Conference on Stochastic Processes and Their Applications (SPA 2013), Boulder, CO, USA, 29.07.2013 bis 02.08.2013.
  • DPhil Bence Mélykúti: Equilibrium distributions of simple biochemical reaction systems for time-scale separation in stochastic reaction networks (invited speech), German-Polish Joint Conference on Probability and Mathematical Statistics (GPPS), Torun (Poland), 06.06.2013 bis 09.06.2013.
  • Dr. Andrej Depperschmidt: Directed random walk on the backbone of oriented percolation cluster (invited speech), ALEA in Europe School, CIRM, Lumini, 24.10.2013.
  • Dr. Andrej Depperschmidt: Path properties of tree-valued Fleming-Viot processes (invited speech), Colloquium of the DFG priority programme "Probabilistic Structures in Evolution", Bonn, 01.10.2013.
  • Dr. Andrej Depperschmidt: Tree-vaulued Fleming-Viot processes with mutation and selection (invited speech), Seminar on Probability Theory, University of Vienna, 25.06.2013.
  • Dr. Andrej Depperschmidt: Path-properties of the tree-valued Fleming-Viot process (invited speech), Most informal probability seminar, University of Leiden (NL), 14.02.2013.
  • Franz Baumdicker: The infinitely many genes model: ... to data. (invited speech), Quantitative Laws of Genome Evolution., Como, 28.06.2013.
  • Prof. Dr. Peter Pfaffelhuber: Some large deviation results in Kingman's coalescent. (invited speech), Workshop on Superprocesses, Banff, 22.09.2013.
  • Prof. Dr. Peter Pfaffelhuber: The duration of a selective sweep in a structured population. (invited speech), Stochastics Processes and Their Application, Boulder, 29.07.2013.
  • Prof. Dr. Peter Pfaffelhuber: The infinitely many genes model: From models ... (invited speech), Quantitative Laws of Genome Evolution, Como, 28.06.2013.
  • Prof. Dr. Peter Pfaffelhuber: Horizontal gene transfer in bacteria: The ancestral gene Transfer graph (invited speech), First German-Polish Joint Conference on Probability and Mathematical Statistics, Torun, 08.06.2013.
Veranstaltung:
  • Prof. Dr. Peter Pfaffelhuber, Prof. Dr. Anton Wakolbinger: Population genetic models including selection, within DFG Priority Program 1590 "Random Structures in Evolution", Frankfurt, 25.03.2013 bis 26.03.2013.

Scientific Dissertations

Degree Dissertations
  • Frank J: Multiple losses in the infinitely many genes model (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Hermann F: Zufällige Graphen: Das Duplication-Divergence Modell (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Horn T: Der Zentrale Grenzwertsatz für mischende Folgen un deine Anwendung Shustrings (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Keller F: Stochastische Modelle in Hybridzonen (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Müller H: Eine Erweiterung des Aldous-Shields-Midells (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Vogt B: Eine Einführung in die evolutionäre Spieltheorie und Nowaks Ein-Drittel-Gesetz. (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
Master
  • Brugger C: The immune system and large deviations (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Scheuringer A: Large deviations and Kingman's coalescent (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
Bachelor
  • Geiger K: Die Beschäftigungsdauer in einer M/M/c-Warteschlange (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.
  • Hirsch P: Parrondos Paradox (Advisor Prof. Dr. Peter Pfaffelhuber, Supervisor Prof. Dr. Peter Pfaffelhuber), 2013.