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

Alle mine artikler er tilgjengelige via arXiv:

• Mixing for Poisson representable processes and consequences for the Ising model and the contact process (with Malin Palö Forsström). (ArXiv preprint)
   
• Random walks on random walks: non-perturbative results in high dimensions (with Florian Völlering). (ArXiv preprint)
   
• Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for d≥1  (with Matthias Birkner, Andrej Depperschmidt and Timo Schlüter). ArXiv preprint.
   
• 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.