My main fields of research are 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.

Fall 2024: STAT101 

Fall 2023: STAT220

Spring 2023: STAT210

Fall 2022: STAT221

Fall 2021: STAT101 

Spring 2021: STAT210

Fall 2020: STAT101

Academic lecture

• Bethuelsen, Stein Andreas (2023). Random walk on random walks in high dimensions: non-perturbative results. (external link)
• Bethuelsen, Stein Andreas (2021). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster. (external link)
• Bethuelsen, Stein Andreas (2021). Random walks in dynamic random environment. (external link)
• Bethuelsen, Stein Andreas (2020). One-sided and Two-sided Stochastic Descriptions of the Schonmann Projection. (external link)
• Bethuelsen, Stein Andreas (2020). On spatial vs temporal descriptions of stochastic processes. (external link)
• Bethuelsen, Stein Andreas (2020). Invariance principle for random walks on dynamically averaging random conductances. (external link)
• Bethuelsen, Stein Andreas (2019). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon. (external link)
• Bethuelsen, Stein Andreas (2019). On spatial vs temporal descriptions of stochastic processes. (external link)
• Bethuelsen, Stein Andreas (2019). Loss of memory and the cutoff phenomenon for the contact process. (external link)
• Bethuelsen, Stein Andreas (2019). On current and future research projects. (external link)
• Bethuelsen, Stein Andreas (2019). Loss of memory for the contact process. (external link)

Lecture

• Bethuelsen, Stein Andreas (2023). Random walk on random walks in high dimensions: non-perturbative results. (external link)

Academic article

• Bethuelsen, Stein Andreas; Birkner, Matthias; Depperschmidt, Andrej et al. (2023). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster. (external link)
• Bethuelsen, Stein Andreas; Hirsch, Christian; Mönch, Christian (2021). Quenched invariance principle for random walks on dynamically averaging random conductances. (external link)
• Bethuelsen, Stein Andreas; Valesin, Daniel; Baptista da Silva, Gabriel (2021). Graph constructions for the contact process with a prescribed critical rate . (external link)
• Bethuelsen, Stein Andreas (2020). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon.. (external link)
• Bethuelsen, Stein Andreas (2018). The contact process as seen from a random walk . (external link)
• Bethuelsen, Stein Andreas; Heydenreich, Markus (2016). Law of large numbers for random walks on attractive spin-flip dynamics. (external link)

Academic literature review

• Bethuelsen, Stein Andreas; Berger, Noam; Conache, Diana et al. (2020). Mini-Workshop: One-sided and Two-sided Stochastic Descriptions. (external link)

Popular scientific lecture

• Bethuelsen, Stein Andreas (2019). Modelling complex networks. (external link)

See a complete overview of publications in Cristin.

All my papers and preprints are available on the arXiv:

• Limit laws for random walks in a dynamic path-cone mixing random environment (with Florian Völlering). (ArXiv preprint)
   
• 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) Electronic Journal of Probability, 28, 1-54 (2023) - 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.