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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.

Fingerprint Dive into the research topics where Marcel Ortgiese is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2016 2019

Cumulants, concentration and superconcentration

Ortgiese, M.

1/12/1631/08/19

Project: Research-related funding

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
Fluctuations
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
File
Branching
Duality
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
File
First-passage Percolation
apexes
Configuration
configurations
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
File
Giant Component
Preferential Attachment
attachment
Decay
proportion
1 Citation (Scopus)
Open Access
File
Branching Random Walk
Scaling Limit
Pareto
Poisson Point Process
Random Potential

Thesis

Stochastic processes in random environment

Author: Ortgiese, M., 1 Sep 2009

Supervisor: Morters, P. (Supervisor)

Student thesis: Doctoral ThesisPhD

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