9 papers
Entrance laws for annihilating Brownian motions and the continuous-space voter model
Matthias Hammer, Marcel Ortgiese, Florian Völlering
Consider a system of particles moving independently as Brownian motions until two of them meet, when the colliding pair annihilates instantly. The construction of such a system of…
Absolute Continuity and Weak Uniform Mixing of Random Walk in Dynamic Random Environment
Stein Andreas Bethuelsen, Florian Völlering
We prove results for random walks in dynamic random environments which do not require the strong uniform mixing assumptions present in the literature. We focus on the "environment…
A new look at duality for the symbiotic branching model
Matthias Hammer, Marcel Ortgiese, Florian Völlering
The symbiotic branching model is a spatial population model describing the dynamics of two interacting types that can only branch if both types are present. A classical result for…
Explicit LDP for a slowed RW driven by a symmetric exclusion process
Luca Avena, Milton Jara, Florian Völlering
We consider a random walk (RW) driven by a simple symmetric exclusion process (SSE). Rescaling the RW and the SSE in such a way that a joint hydrodynamic limit theorem holds we pro…
Symmetric exclusion as a random environment: hydrodynamic limits
Luca Avena, Tertuliano Franco, Milton Jara +1
We consider a one-dimensional continuous time random walk with transition rates depending on an underlying autonomous simple symmetric exclusion process starting out of equilibrium…
Random walks in dynamic random environments: A transference principle
Frank Redig, Florian Völlering
We study a general class of random walks driven by a uniquely ergodic Markovian environment. Under a coupling condition on the environment we obtain strong ergodicity properties fo…