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 Research Report for 2012

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)
  • DPhil Bence Mélykúti, Gastwissenschaftler (m/w)
  • Cornelia Pokalyuk, Doktorand (m/w), geb. Borck
  • 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:
  • Baumdicker F, Hess W, Pfaffelhuber P: The infinitely many genes model for the distributed genome of bacteria. Genome Biol Evol, 2012; 4: 443-456.
  • Biehler F H, Pfaffelhuber P: Compact metric measure spaces and Lambda-coalescents coming down from infinity. Latin American Journal of Probability and Mathematical Statistics (ALEA), 2012; 9 (online): 269-278. : http://arxiv.org/abs/1105.2409
  • Depperschmidt A, Greven A, Pfaffelhuber P: Tree-valued Fleming-Viot dynamics with mutation and selection. Ann Appl Probab, 2012; 22 (6): 2560-2615. : http://arxiv.org/abs/1101.0759
  • Haubold B, Pfaffelhuber P: Alignment-free population genomics: An efficient estimator of sequence diversity. Genes, Genomes, Genetics, 2012; 2 (8): 883-889.
  • Pfaffelhuber P, Staab P R, Wakolbinger A: Muller's ratchet with compensatory mutations. Ann Appl Probab, 2012; 22 (5): 2108-2132. : http://arxiv.org/abs/1108.4059

Special Scientific Activities

Invited Speech:
  • Dr. Andrej Depperschmidt: Ancestry in the face of competition: Directed random walk on the directed percolation cluster (invited speech), Workshop "Young European Probabilits VIII, EURANDOM, Eindhoven (NL), 15.03.2012.
  • Dr. Andrej Depperschmidt: Ancestry in the face of competition: Directed random walk on the directed percolation cluster (invited speech), German Probability and Statistic Days, Mainz, 06.03.2012.
  • Prof. Dr. Peter Pfaffelhuber: Das Wright-Fisher-Modell der mathematischen Populationsgenetik. (invited speech), Freiburg-Seminar, 22.11.2012.
  • Prof. Dr. Peter Pfaffelhuber: The Mathematics of Genetic Hitchhiking (invited speech), SPP-Seminar "Incombio", 18.10.2012.
  • Prof. Dr. Peter Pfaffelhuber: The evolution in genealogical trees under selection (invited speech), Probability Seminar, Montreal, 04.10.2012.
  • Prof. Dr. Peter Pfaffelhuber: Path-properties of the tree-valued Fleming-Viot process (invited speech), Luminy, 04.09.2012.
  • Prof. Dr. Peter Pfaffelhuber: Tree-valued Markov processes arising in population genetics (invited speech), Seminar, Karlsruhe, 03.07.2012.
  • Prof. Dr. Peter Pfaffelhuber: A mathematical model for the quorum sensing system in Sinorhizobium meliloti (invited speech), Seminar, Neuherberg, 29.06.2012.
  • Prof. Dr. Peter Pfaffelhuber: Tree-valued Markov processes arising in population genetics (invited speech), Probability Seminar, Zürich, 25.03.2012.
  • Prof. Dr. Peter Pfaffelhuber: The evolution of genealogical trees under selection (invited speech), Probability Seminar, TU Munich, 06.02.2012.
Veranstaltung:
  • Prof. Dr. Jochen Blath, Prof. Dr. Peter Pfaffelhuber: European Young and Mobile Workshop in Mathematics, within DFG Priority Program 1590 "Random Structures in Evolution", Berlin, 19.09.2012 bis 21.09.2012.

Scientific Dissertations

Dissertations
  • Pokalyuk C: Patterns of selection in subdivided populations, 2012.
Degree Dissertations
  • Czuppon P: Probabilistic Tools in Chemical Reaction Network Theory and Applications., 2012.
  • Käshammer P: Stochastische Ricker-Modelle und deren Diffusionslimiten, 2012.
  • Rusch C: Verzweigungsprozesse, bedingt auf Überleben, 2012.
  • Stournaras L: The tree-valued Wright-Fisher model, 2012.
Bachelor
  • Ahrens J: Ein Modell zum Überleben von Arten, 2012.
  • Beck F: Die Grenzverteilung des Grades in zufälligen Graphen, 2012.
  • Gümbel S: Gemeinsame Vorfahren, 2012.
  • Manko D: Burke's Output Theorem, 2012.