9 citations · 11 across the 7 of their papers we have counts for
10 papers
Random walks on random walks: non-perturbative results in high dimensions
Stein Andreas Bethuelsen, Florian Völlering
Consider the dynamic environment governed by a Poissonian field of independent particles evolving as simple random walks on . The random walk on random walks model re…
Limit laws for random walks in a dynamic path-cone mixing random environment
Stein Andreas Bethuelsen, Florian Völlering
We study the asymptotic behaviour of a random walk whose evolution is dependent on the state of an itself dynamically evolving environment. In particular, we extend our previous re…
Markov process representation of semigroups whose generators include negative rates
Florian Völlering
Generators of Markov processes on a countable state space can be represented as finite or infinite matrices. One key property is that the off-diagonal entries corresponding to jump…
The Algebraic Approach to Duality: An Introduction
Anja Sturm, Jan M. Swart, Florian Völlering
This survey article gives an elementary introduction to the algebraic approach to Markov process duality, as opposed to the pathwise approach. In the algebraic approach, a Markov g…
Constant curvature metrics for Markov chains
Florian Völlering
We consider metrics which are preserved under a -Wasserstein transport map, up to a possible contraction. In the case this corresponds to a metric which is uniformly curve…
On maximal agreement couplings
Florian Völlering
We call a coupling of two stochastic processes which maximizes the time until the first disagreement a maximal agreement coupling. We show that such a coupling always exists. Furth…