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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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Branching Random Walk Mathematics
Preferential Attachment Mathematics
Anderson Model Mathematics
Pareto Mathematics
Branching Mathematics
Scaling Limit Mathematics
Random Potential Mathematics
Directed Polymers Mathematics

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Projects 2016 2019

Cumulants, concentration and superconcentration

Ortgiese, M.


Project: Research-related fundingInternational Collaboration

Research Output 2008 2019

Fluctuations in a general preferential attachment model via Stein's method

Betken, C., Döring, H. & Ortgiese, M., 24 Jan 2019, (Accepted/In press) In : Random Structures and Algorithms.

Research output: Contribution to journalArticle

Stein's Method
Preferential Attachment
Vertex of a graph
Limiting Distribution

A new look at duality for the symbiotic branching model

Hammer, M., Ortgiese, M. & Vollering, F., 24 Aug 2018, In : Annals of Probability. 46, 5, p. 2800-2862 63 p.

Research output: Contribution to journalArticle

Open Access
Brownian motion
Stochastic Partial Differential Equations
Spatial Model

Local neighbourhoods for first-passage percolation on the configuration model

Dereich, S. & Ortgiese, M., 19 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 485–501 17 p.

Research output: Contribution to journalArticle

Open Access
First-passage Percolation
Passage Time

Near critical preferential attachment networks have small giant components

Eckhoff, M., Morters, P. & Ortgiese, M., 1 Nov 2018, In : Journal of Statistical Physics. 173, 3-4, p. 663-703 41 p.

Research output: Contribution to journalArticle

Open Access
Giant Component
Preferential Attachment
1 Citation (Scopus)
Open Access
Branching Random Walk
Scaling Limit
Poisson Point Process
Random Potential


Stochastic processes in random environment

Author: Ortgiese, M., 1 Sep 2009

Supervisor: Morters, P. (Supervisor)

Student thesis: Doctoral ThesisPhD