Research Interests

In my research I am interested in many areas of probabilty theory, for example variance inequalities, coupling arguments, interacting particle systems, random walks in dynamic random environments and mathematical biology.

Preprints and Publications

The Algebraic Approach to Duality: an Introduction
with A. Sturm, J. Swart

Entrance laws for annihilating Brownian motions
with M. Hammer, M. Ortgiese

Constant curvature metrics for Markov chains

A new look at duality for the symbiotic branching model
with M. Hammer, M. Ortgiese
to appear in Annals of Probability

Explicit LDP for a slowed RW driven by a symmetric exclusion process
with L. Avena, M. Jara
Probability Theory and Related Fields, doi: 10.1007/s00440-017-0797-6

Absolute Continuity and Weak Uniform Mixing of Random Walk in Dynamic Random Environment
with S.A. Bethuelsen
Electron. J. Probab. Volume 21 (2016), paper no. 71, 32 pp.,

On maximal agreement couplings

The supercritical contact process has exponential decay of the variance

Talagrand's inequality for Interacting Particle Systems satisfying a log-Sobolev inequality
Annales de l'Institut Henri Poincaré (B) 52(1), 173-195 (2016), doi: 10.1214/14-AIHP630

Symmetric exclusion as a random environment: hydrodynamic limits
with L. Avena, T. Franco, M. Jara
Annales de l'Institut Henri Poincarée (B) 51(3), 901-916 (2015), doi: 10.1214/14-AIHP607

A variance inequality for Glauber dynamics applicable to high and low temperature regimes
Electronic Journal of Probability 19, 46 1-21, (2014), doi: 10.1214/EJP.v19-2791

Random walks in dynamic random environment: A transference principle
with F. Redig
Annals of Probability 41(5), 3157-3180 (2013), doi: 10.1214/12-AOP819

Transient random walk in symmetric exclusion: limit theorems and an Einstein relation
with L. Avena, R. dos Santos
ALEA Lat. Am. J. Probab. Math. Stat. 10, 693-709 (2013)

Poincaré inequality for Markov random fields via disagreement percolation
with J.-R. Chazottes, F. Redig
Indagationes Mathematicae 22(3-4), 149-164 (2011) doi:10.1016/j.indag.2011.09.003

Concentration of Additive Functionals for Markov Processes and Applications to Interacting Particle Systems, with F. Redig

Coupling, Concentration and Random Walks in Dynamic Random Environments
PhD Thesis

Quenched asymptotics of the parabolic Anderson model with a single catalyst
master thesis