43 citations · 81 across the 4 of their papers we have counts for
4 papers
Intermittency on catalysts: three-dimensional simple symmetric exclusion
J. Gaertner, F. den Hollander, G. Maillard
We continue our study of intermittency for the parabolic Anderson model in a space-time random medium , where is a positive diffusion cons…
Phase transitions for the long-time behavior of interacting diffusions
A. Greven, F. den Hollander
Let be the system of interacting diffusions on defined by the following collection of coupled stochastic differential equa…
Reflection positivity and phase transitions in lattice spin models
Marek Biskup
Reflection positivity (RP) is a property of Gibbs measures exhibited by a class of lattice spin systems that include the Ising, Potts and Heisenberg models. The RP property is usef…
The renormalization transformation for two-type branching models
Don A. Dawson, Andreas Greven, Frank den Hollander +2
This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for tw…