Min forskning fokuserer på problemstillinger innen sannsynlighetsteori og matematisk statistisk mekanikk. Noen nøkkelord som beskriver min pågående forskning er virrevandringer i (dynamiske) tilfeldige omgivelser, interagerende stokastiske prosesser, stokastiske prosesser med uendelig hukommelse og Gibbs mål.

Jeg er del av forskningsgruppen innen Statistikk og Data Science ved Matematisk institutt.

Høst 2024: STAT101 - Elementær statistikk

Høst 2023: STAT220 - Stokastiske prosesser

Vår 2023: STAT210 - Statistisk inferensteori

Høst 2022: STAT221 - Sannsynlighetsteori

Høst 2021: STAT101 - Elementær statistikk

Vår 2021: STAT210 - Statistisk inferensteori

Høst 2020: STAT101 - Elementær statistikk

Vitenskapelig artikkel

• Bethuelsen, Stein Andreas; Völlering, Florian (2024). Random walks on random walks: non-perturbative results in high dimensions. (ekstern lenke)
• Bethuelsen, Stein Andreas; Birkner, Matthias; Depperschmidt, Andrej et al. (2024). Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for d≥1. (ekstern lenke)
• 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. (ekstern lenke)
• Bethuelsen, Stein Andreas; Hirsch, Christian; Mönch, Christian (2021). Quenched invariance principle for random walks on dynamically averaging random conductances. (ekstern lenke)
• Bethuelsen, Stein Andreas; Valesin, Daniel; Baptista da Silva, Gabriel (2021). Graph constructions for the contact process with a prescribed critical rate . (ekstern lenke)
• Bethuelsen, Stein Andreas (2020). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon.. (ekstern lenke)
• Bethuelsen, Stein Andreas (2018). The contact process as seen from a random walk . (ekstern lenke)
• Bethuelsen, Stein Andreas; Heydenreich, Markus (2016). Law of large numbers for random walks on attractive spin-flip dynamics. (ekstern lenke)

Vitenskapelig foredrag

• Bethuelsen, Stein Andreas (2024). The zombie-infection model. (ekstern lenke)
• Bethuelsen, Stein Andreas (2023). Random walk on random walks in high dimensions: non-perturbative results. (ekstern lenke)
• Bethuelsen, Stein Andreas (2021). Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster. (ekstern lenke)
• Bethuelsen, Stein Andreas (2021). Random walks in dynamic random environment. (ekstern lenke)
• Bethuelsen, Stein Andreas (2020). One-sided and Two-sided Stochastic Descriptions of the Schonmann Projection. (ekstern lenke)
• Bethuelsen, Stein Andreas (2020). On spatial vs temporal descriptions of stochastic processes. (ekstern lenke)
• Bethuelsen, Stein Andreas (2020). Invariance principle for random walks on dynamically averaging random conductances. (ekstern lenke)
• Bethuelsen, Stein Andreas (2019). On projections of the supercritical contact process: uniform mixing and cutoff phenomenon. (ekstern lenke)
• Bethuelsen, Stein Andreas (2019). On spatial vs temporal descriptions of stochastic processes. (ekstern lenke)
• Bethuelsen, Stein Andreas (2019). Loss of memory and the cutoff phenomenon for the contact process. (ekstern lenke)
• Bethuelsen, Stein Andreas (2019). On current and future research projects. (ekstern lenke)
• Bethuelsen, Stein Andreas (2019). Loss of memory for the contact process. (ekstern lenke)

Faglig foredrag

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

Vitenskapelig oversiktsartikkel/review

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

Populærvitenskapelig foredrag

• Bethuelsen, Stein Andreas (2019). Modelling complex networks. (ekstern lenke)

Se en full oversikt over publikasjoner i Cristin

Alle mine artikler er tilgjengelige via 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 Hirchand 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.