Research Centre for Mathematical Modelling, RCM²

(Forschungsschwerpunkt Mathematische Modellierung, FSPM²)

Sample publications:

The following collection of articles is aimed to provide a representative sample of current FSPM projects. For a full list of publications see the web pages of the RCM² members.

2011

• E. Baake, T. Hustedt:
  Moment Closure in a Moran model with recombination.
  To appear in Markov processes and related fields.
  
  

2010

• M. Baake, U. Schlägel:
  The Peano-Baker series
  (arXiv)
  
  

2009

• E. Buchkremer, K. Reinhold:
  Sector fidelity - an advantageous foraging behavior resulting from a heuristic search strategy.
  To appear in Behavioral Ecology.
  
  
• N. Dolbilin, D. Frettlöh:
  Properties of Böröczki tilings in high dimensional hyperbolic spaces.
  European J. Combin., accepted. (PDF)
  
  
• D. Frettlöh, A. Glazyrin:
  The lonely vertex problem.
  Beiträge Algebr. Geom. 50 (2009) 71-79. (PDF)
  
  
• J. Hofbauer, J. Oechssler, F. Riedel:
  Brown-von Neumann-Nash Dynamics: The Case of Continuous Strategy Sets.
  To appear in Games and Economic Behavior.
  
  
• Thorsten Pampel:
  Error Estimates of a Computational Method for Generalised Connecting Orbits
  The Open Numerical Methods Journal 1 (2009) 6-19
  (download on journals web page)

2008

• E. Baake, R. Bialowons:
  Ancestral processes with selection: Branching and Moran models.
  Banach Center Publications 80 (2008), 33-52. (PostScript, arXiv)
  
  
• E. Baake, F. den Hollander, N. Zint:
  How T-cells use large deviations to recognize foreign antigens. J.Math.Biol. 57 (2008), 841-861. (arXiv)
  
  
• E. Baake, I. Herms:
  Single-crossover dynamics: finite versus infinite populations.
  Bull. Math. Biol. 70 (2008), 603-62. (PDF)
  
  
• A. Bergeron, J. Mixtacki, J. Stoye:
  HP Distance via Double Cut and Join.
  Proceedings of CPM 2008, LNCS 5029, 56-68, 2008. (PDF)
  
  
• T. Hüls:
  A Bifurcation Analysis of a 3D Blowfly Model in Discrete and Continuous Time.
  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 18 (2008), 1957-1972. (Overview and download)
  
  

2007

• C. Richard:
  Limit distributions and scaling functions.
  (arXiv)
  
  

2006

• A. Bergeron, J. Mixtacki, J. Stoye:
  On Sorting by Translocations.
  J. Comp. Biol. 13, 567-578, 2006. (PDF)
  
  
• A. Bergeron, J. Mixtacki, J. Stoye:
  A Unifying View of Genome Rearrangements.
  Proceedings of WABI 2006, LNBI 4175, 163-173, 2006. (PDF)
  
  
• P. Zeiner:
  Coincidences of Hypercubic Lattices in 4 dimensions.
  Z. Krist. 221 (2006), 105-114. (PDF)
  
  

2005

• A. Bergeron, J. Mixtacki, J. Stoye:
  The Inversion Distance Problem.
  In O. Gascuel (ed.): Mathematics of Evolution and Phylogeny. Chapter 10, pp. 262-290. Oxford University Press, 2005.
  
  
• P. Zeiner:
  Symmetries of Coincidence Site Lattices of Cubic Lattices.
  Z. Krist. 220 (2005), 915-925.(PDF)