Frank den Hollander

most citedPhase transitions for the long-time behavior of interacting diffusions

43 citations · 81 across the 4 of their papers we have counts for

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math.PR2008

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 $\partial u / \partial t = κ Δ u + ξ u$ in a space-time random medium $ξ$ , where $κ$ is a positive diffusion cons…

math.PR2006★ 43 cited

Phase transitions for the long-time behavior of interacting diffusions

A. Greven, F. den Hollander

Let $({X_{i} (t)}_{i \in Z^{d}})_{t \geq 0}$ be the system of interacting diffusions on $[0, \infty)$ defined by the following collection of coupled stochastic differential equa…

math.PR2006

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…