Projects per year
Personal profile
Research interests
I am working in probability, more specifically on models at the intersection between discrete and continuous probability.
My research fits into three main research areas. First of all I am interested in spatial population models that are inspired by evolutionary biology and are often described in terms of stochastic partial differential equations. Here, I am trying to understand the large scale behaviour of interfaces that arise for example between different types. Secondly, I am working on stochastic processes in random environments. Currently I am working on branching processes whose behaviour is influenced by local inhomogeneities. Finally, I am interested in evolving random graphs and stochastic processes that are defined on random graphs.
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Projects
- 1 Finished
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Voter models on subcritical scale-free random graphs
Fernley, J. & Ortgiese, M., 23 Jul 2022, (E-pub ahead of print) In: Random Structures and Algorithms. 59 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Entrance laws for annihilating Brownian motions and the continuous-space voter model
Hammer, M., Ortgiese, M. & Vollering, F., 30 Apr 2021, In: Stochastic Processes and their Applications. 134, p. 240-264 25 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Downloads (Pure) -
The symbiotic branching model: duality and interfaces
Blath, J. & Ortgiese, M., 1 May 2021, Probabilistic Structures in Evolution. Baake, E. & Wakolbinger, A. (eds.). EMS Publishing House, p. 311–336 26 p. (EMS Series of Congress Reports; vol. 17).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open AccessFile4 Downloads (Pure) -
A phase transition for preferential attachment models with additive fitness
Ortgiese, M. & Lodewijks, B., 18 Dec 2020, In: Electronic Journal of Probability. 25, 54 p., 146.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (SciVal)15 Downloads (Pure) -
Fluctuations in a general preferential attachment model via Stein's method
Betken, C., Döring, H. & Ortgiese, M., 1 Dec 2019, In: Random Structures and Algorithms. 55, 4, p. 808-830 23 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (SciVal)9 Downloads (Pure)
Thesis
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Stochastic processes in random environment
Author: Ortgiese, M., 1 Sep 2009Supervisor: Morters, P. (Supervisor)
Student thesis: Doctoral Thesis › PhD
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