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.
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
- 1 Active
Research Output 2008 2019
- 15 Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
Open Access
File
Giant Component
Preferential Attachment
attachment
Decay
proportion
1
Citation
(Scopus)
Scaling limit and ageing for branching random walk in Pareto environment
Ortgiese, M. & Roberts, M., 11 Jul 2018, In : Annales de l'Institut Henri Poincaré: Probabilités et Statistiques. 54, 3, p. 1291-1313Research output: Contribution to journal › Article
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 2009Supervisor: Morters, P. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File