Marcel Ortgiese

Contact

Teaching

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Publications

Preprints

• The maximal degree in random recursive graphs with random weights.
  with Bas Lodewijks. Preprint, arXiv:2007.05438, 13 July 2020.
• Voter models on subcritical inhomogeneous random graphs.
  with John Fernley. Preprint, arXiv:1911.13187, 1 June 2020.
• The infinite rate symbiotic branching model: from discrete to continuous space.
  with Matthias Hammer. Preprint arXiv:1508.07826, 2015.

In Press

• Entrance laws for annihilating Brownian motions.
  with Matthias Hammer and Florian Völlering.
  To appear in Stochastic Processes and their Applications, arXiv:1801.06197, 2021.
• The symbiotic branching model: duality and interfaces.
  with Jochen Blath. arXiv:2002.02825, To appear in "Probabilistic Structures in Evolution", ed. by E. Baake and A. Wakolbinger.

Publications

• A phase transition for preferential attachment models with additive fitness.
  with Bas Lodewijks. Electronic Journal of Probability, 25, Paper No. 146, 2020.
• Fluctuations in a general preferential attachment model via Stein's method.
  with Carina Betken and Hanna Döring. Random Structures & Algorithms, 55(4), 808-830, 2019.
• Near critical preferential attachment networks have small giant components.
  with Maren Eckhoff and Peter Mörters. Journal of Statistical Physics, 173(3), 663-703, 2018.
• Local neighbourhoods for first-passage percolation on the configuration model.
  with Steffen Dereich. Journal of Statistical Physics, 173(3-4), 485-501, 2018.
• A new look at duality for the symbiotic branching model.
  with Matthias Hammer and Florian Völlering. Annals of Probability, 46(5), 2800-2862, 2018.
• Scaling limit and ageing for branching random walk in Pareto environment.
  with Matthew I. Roberts. Annales de l'Institut Henri Poincaré: Probab. et Stat. 54(3), 1291-1313, 2018.
• One-point localization for branching random walk in Pareto environment.
  with Matthew I. Roberts. Electronic Journal of Probability, 22, paper no. 6, 2017.
• Intermittency for branching random walk in Pareto environment
  with Matthew I. Roberts. Annals of Probability, 44(3): 2198-2263, 2016.
• The scaling limit of the interface of the continuous-space symbiotic branching model
  with Jochen Blath and Matthias Hammer. Annals of Probability, 44(2): 807-866, 2016.
• The largest strongly connected component in the cyclical pedigree model of Wakeley et al.
  with Jochen Blath and Stephan Kadow. Theoretical Population Biology, 98: 28-37, 2014. [Prepint@arXiv:1405.7276]
• Robust analysis of preferential attachment models with fitness
  with Steffen Dereich. Combinatorics, Probability and Computing, 23 (03): 386-411, 2014.
• The near-critical scaling window for directed polymers on disordered trees
  with Tom Alberts. Electronic Journal of Probability, 18, Article 19, 2013.
• Moments of recurrence times for Markov chains
  with Frank Aurzada, Hanna Döring, Michael Scheutzow. Electronic Communications in Probability, 16:296-303, 2011.
• Ageing in the parabolic Anderson model
  with Peter Mörters, Nadia Sidorova. Annales de l'Institut Henri Poincaré: Probab. et Stat., 47(4): 969-1000, 2011.
  
  [Preprint@arXiv:0910.5613] [Supplement: Animation of limiting process]
• Minimal supporting subtrees for the free energy of polymers on disordered trees
  with Peter Mörters. Journal of Mathematical Physics 49, 2008 (abstract).
• Small value probabilities via the branching tree heuristic
  with Peter Mörters. Bernoulli, 14(1): 277-299, 2008.

Translation

• Hans-Otto Georgii. Stochastics. Introduction to probability and statistics. Translated from the 2007 3rd German edition by Marcel Ortgiese, Ellen Baake and Hans-Otto Georgii. Walter de Gruyter & Co., Berlin, 2008.

PhD Thesis

• Stochastic processes in random environment
  PhD, University of Bath, 2009.
  PDF

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People

• Natalia Cardona Tobón, March - August 2020, visiting from CIMAT.
• Thomas Bartos, since Sep 2019, funded by SAMBa.
• Bas Lodewijks, since Sep 2017, @arXiv.
• John Fernley, Sep 2017 - Dec 2020, jointly with Peter Mörters, funded by SAMBa.
  Now Postdoc in Lyon.

• Florian Völlering, Jan 2016 - Dec 2018, funded by DFG SPP 1590 Probabilistic Structures in Evolution. Now Juniorprofessor Universität Leipzig.

Links

• MathSciNet, SHERPA RoMEO.
• Schwerpunktprogramm 1590 "Probabilistic Structures in Evolution"
• DFG scientific network: Cumulants, concentration and superconcentration.
• Fachgruppe Stochastik
• Past events:
  • Workshop: Spatial models in population genetics, 06 - 08 September 2017, University of Bath.
  • Bath-Berlin summer school: Probabilistic and statistical methods for networks, 21/08/17 - 01/09/17 at TU Berlin.

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