Matthias Birkner

Professor für Wahrscheinlichkeitstheorie

Kontakt

Johannes-Gutenberg-Universität
Institut für Mathematik
Fachbereich 08 – Physik, Mathematik und Informatik
Staudingerweg 9
55099 Mainz

Email: birkner@mathematik.uni-mainz.de
Tel.: 06131/39-23601
Fax: 06131/39-20916

Büro: Raum 05-623, 5.OG, Staudingerweg 9

Sprechstunde: Mittwochs nach der Vorlesung und nach Vereinbarung


Publikationen

Statistical properties of the site-frequency spectrum associated with Lambda-coalescents (with Jochen Blath and Bjarki Eldon), Genetics 195, no. 3 (2013), 1037-1053. arXiv:1305.6043.

Directed random walk on an oriented percolation cluster (with Jiří Černý, Andrej Depperschmidt and Nina Gantert), Electronic Journal of Probability 18 (2013), Article 80.

Analysis of DNA sequence variation within marine species using Beta-coalescents (with Matthias Steinrücken and Jochen Blath), Theor. Pop. Biol. 87 (2013), 15-24. (preprint version, arXiv:1209.0813)

An ancestral recombination graph for diploid populations with skewed offspring distribution (with Jochen Blath and Bjarki Eldon), Genetics 193, no. 1 (2013), 255-290. arXiv:1203.4950

Collision local time of transient random walks and intermediate phases in interacting stochastic systems (with Andreas Greven and Frank den Hollander), Electronic Journal of Probability 16 (2011), 552-586.

Importance sampling for Lambda-coalescents in the infinitely many sites model (with Jochen Blath, Matthias Steinrücken), Theor. Pop. Biology 79 (2011), 155-173. arXiv:1105.1836

Disorder relevance for the random walk pinning model in dimension 3 (with Rongfeng Sun), Annales de l'Institut Henri Poincaré 47 (2011), 259-293. Available as pdf, arxiv:0912.1663.

Quenched LDP for words in a letter sequence (with Andreas Greven and Frank den Hollander), Probability Theory and Related Fields 148, no. 3/4 (2010), 403-456. (WIAS preprint 1349, arxiv:0807.2611)

Annealed vs quenched critical points for a random walk pinning model (with Rongfeng Sun), Annales de l'Institut Henri Poincaré 46 (2010), 414-441. Available as pdf.

Diffraction of stochastic point sets: Exactly solvable examples (with Michael Baake and Robert V. Moody), Communications in Mathematical Physics 293, no. 3, (2010), 611-660.

Rescaled stable generalised Fleming-Viot processes: Flickering random measures (with Jochen Blath), Electronic Journal of Probability 14 (2009), 2418-2437.

Measure-valued diffusions, general coalescents and population genetic inference (with Jochen Blath), in J. Blath, P. Mörters, M. Scheutzow (Eds.), Trends in Stochastic Analysis, LMS 351, Cambridge University Press, 329-363 (2009). (The preprint version can be found here).

A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks (with Jochen Blath, Martin Möhle, Matthias Steinrücken and Johanna Tams), ALEA Lat. Am. J. Probab. Math. Stat. 6, (2009).

Computing likelihoods for coalescents with multiple collisions in the infinitely-many-sites model (with Jochen Blath), J. Math. Biol. 57, no. 3, (2008), 435-465. Available as pdf (513 kB).

Conditional large deviations for a sequence of words, Stochastic Process. Appl. 118, no. 5, (2008), 703-729. (WIAS preprint 1072, or here for an updated version of that preprint)

A functional CLT for the occupation time of state-dependent branching random walk (with Iljana Zähle), Ann. Probab. 35, no. 6, (2007), 2063-2090. Available as pdf (278 kB).

Survival and complete convergence for a spatial branching system with local regulation (with Andrej Depperschmidt), Ann. Appl. Probab. 17, no. 5/6, (2007), 1777-1807. Available as pdf (320 kB).

Alpha-stable Branching and Beta-Coalescents (with Jochen Blath, Marcella Capaldo, Alison Etheridge, Martin Möhle, Jason Schweinsberg, Anton Wakolbinger). Electronic Journal of Probability 10 (2005), 303-325.

Comparison results and steady states for the Fujita equation with fractional Laplacian (with J.A. López Mimbela, A. Wakolbinger). Ann. Inst. H. Poincaré Anal. Non Linéaire 22, no. 1, (2005), 83-97. (ESI preprint 1265, math.AP/0302353).

A Condition for Weak Disorder for Directed Polymers in Random Environment, Electronic Communications in Probability 9 (2004), 22-25.

Branching processes in random environment - a view on critical and subcritical cases (with Jochen Geiger and Götz Kersting), in the proceedings of the DFG-Schwerpunktprogramm ``Interacting Stochastic Systems of High Complexity''. Available as pdf (236 kB).

Particle systems with locally dependent branching: long-time behaviour, genealogy and critical parameters, PhD thesis, Johann Wolfgang Goethe-Universität Frankfurt, 2003.
http://publikationen.ub.uni-frankfurt.de/volltexte/2003/314/

Blow-up of semilinear pde's at the critical dimension. A probabilistic approach (with J.A. López Mimbela, A. Wakolbinger). Proc. Amer. Math. Soc. 130 (2002), 2431-2442.

A comparison of free branching and stepping stone models (with A. Wakolbinger). Stochastic models (Ottawa, ON, 1998), 15-23, CMS Conf. Proc., 26.

Preprints

A quenched large deviation principle in a continuous scenario (with Frank den Hollander), arXiv:1312.2521.

Inference for $\Lambda$-coalescents (with Jochen Blath), WIAS preprint 1211.

Temporal decorrelation for branching random walks with state dependent branching rate, WIAS preprint 1202.

Functional central limit theorem for the occupation time of the origin for branching random walks in d ≥ 3 (with Iljana Zähle), WIAS preprint 1011.
An updated version is "A functional CLT for the occupation time of state-dependent branching random walk", math.PR/0702020.

Lehre

Wintersemester 2013/2014:
Grundlagen der Stochastik: Einführung in die Stochastik und Stochastik-Praktikum
Biostatistik

Sommersemester 2013:
Stochastische Modelle der Populationsbiologie

Wintersemester 2012/2013:
Hauptseminar Stochastische Modelle der Evolutionsbiologie

Sommersemester 2012:
Stochastik III
Hauptseminar Stochastische Prozesse auf Graphen

Wintersemester 2011/2012:
Stochastik II

Sommersemester 2011:
Stochastik I

Wintersemester 2010/2011:
Stochastik-Praktikum
Biostatistik

Folien des Vortrags anläßlich der Betreuten Informationsveranstaltung für Schülerinnen und Schüler der Oberstufe sowie andere Studieninteressierte (BISS), JGU Mainz, 23.6.2010.

Sommersemester 2010:
Große Abweichungen, Spezialvorlesung, Universität Mainz
Zufällige Polymere, Hauptseminar, Universität Mainz

Wintersemester 2009/2010:
Stochastische Modelle der Populationsbiologie, Universität Mainz

Sommersemester 2009:
Statistik für Biologen, Universität München.
Population Genetics, Universität München.

Sommersemester 2008:
Vorlesung "Angewandte Stochastik", Universität Bonn.
Seminar "Kombinatorische Stochastische Prozesse", Universität Bonn. Ankündigungstext.

Sommersemester 2007: Stochastic models from population biology at TU Berlin.

Wintersemester 2005/2006: Mathematik I für Brauerei- und Brennereitechnologen, TU Berlin (in german). More information can be found here.

Sommersemester 2005: "Stochastic models from population biology" at TU Berlin. The announcement (in german) can be found here, a version of the course notes is here.

Conferences

37th Conference on Stochastic Processes and their Applications, 28 July - 1 August 2014, Universidad de Buenos Aires

Mini-Workshop Multiple merger coalescents in population genetics, JGU Mainz, 28-29 November 2013

10th German probability and statistics days, Stochastiktage Mainz, 6-9 March 2012

VIII. YEP-Workshop on Stochastic Models for Population Dynamics, 14-18 March 2011, Eurandom, Eindhoven


Arbeitsgruppe Stochastik   Institut für Mathematik   Johannes-Gutenberg-Universität Mainz   Rhein-Main-Kolloquium Stochastik

DFG-Schwerpunkt 1590 Probabilistic Structures in Evolution


Matthias Birkner
Last modified: Oct 2013