- E-mailstein.bethuelsen@uib.no
- Visitor AddressAllégaten 41Realfagbygget5007 Bergen
- Postal AddressPostboks 78035020 Bergen
My main fields of research are discrete probability theory and mathematical statistical mechanics. Some keywords describing my current research are random walks in (dynamic) random environment, interacting particle systems, chains of infinite order and Gibbs measures.
I am part of the Statistics and Data Science Research Group at the Deparment of Mathematics. I am also a member of the scientific network Stochastic Processes on Evolving Networks, supported by the German Research Foundation, DFG.
All my papers and preprints are available on the arXiv:
Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster (with Matthias Birkner, Andrej Depperschmidt and Timo Schlüter) - ArXiv preprint.
Quenched invariance principle for random walks on dynamically averaging random conductances (with Christian Hirch and Christian Mönch) Electronic Communications in Probability (2021) - ArXiv preprint.
Graph constructions for the contact process with a prescribed critical rate (with Gabriel Baptista da Silva and Daniel Valesin) Journal of Theoretical Probability (2021) - ArXiv preprint.
- On projections of the supercritical contact process: uniform mixing and cutoff phenomenon. Lecture notes series Genealogies of Interacting Particle Systems, Institute for Mathematical Sciences, National University of Singapore: Volume 38, 315--340, 2020. (ArXiv preprint)
- One-sided continuity properties for the Schonmann projection (with Diana Conache) Journal of Statistical Physics, 172(4), 1147--1163, 2018. (ArXiv preprint)
- The contact process as seen from a random walk ALEA, Lat. Am. J. Probab. Math. Stat. 15, 571–585, 2018.
- Stochastic domination in space-time for the contact process (with Rob van den Berg). Random Structures Algorithms, 53(2), 221–237, 2018. (ArXiv preprint)
- Law of large numbers for random walks on attractive spin-flip dynamics (with Markus Heydenreich) Stochastic Processes and Applications 127(7), 2346-2372, 2017. (ArXiv preprint)
- Absolute continuity and weak uniform mixing for random walk in dynamic random environment (with Florian Völlering). Electron. J. Probab. 21, no. 71, 1-32, 2016.
- (2023). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster. Electronic Journal of Probability (EJP). 1-54.
- (2021). Quenched invariance principle for random walks on dynamically averaging random conductances. Electronic Communications in Probability. 1-13.
- (2021). Graph constructions for the contact process with a prescribed critical rate . Journal of theoretical probability.
- (2020). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon. Book Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore. 315-340.
- (2018). The contact process as seen from a random walk . Latin American Journal of Probability and Mathematical Statistics.
- (2016). Law of large numbers for random walks on attractive spin-flip dynamics. Stochastic Processes and their Applications.
- (2019). Modelling complex networks.
- (2021). Random walks in dynamic random environment.
- (2021). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster.
- (2020). One-sided and Two-sided Stochastic Descriptions of the Schonmann Projection.
- (2020). On spatial vs temporal descriptions of stochastic processes.
- (2020). Invariance principle for random walks on dynamically averaging random conductances.
- (2019). On spatial vs temporal descriptions of stochastic processes.
- (2019). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon.
- (2019). On current and future research projects.
- (2019). Loss of memory for the contact process.
- (2019). Loss of memory and the cutoff phenomenon for the contact process.
- (2020). Mini-Workshop: One-sided and Two-sided Stochastic Descriptions. Oberwolfach Reports. 38 pages.
More information in national current research information system (CRIStin)