J. Gartner

activity

20052010

most citedGeometric characterization of intermittency in the parabolic Anderson model

81 citations · 81 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2010

Quenched Lyapunov exponent for the parabolic Anderson model in a dynamic random environment

Jürgen Gärtner, Frank den Hollander, Grégory Maillard

We continue our study of the parabolic Anderson equation $\partial u / \partial t = κ Δ u + γ ξ u$ for the space-time field $u : Z^{d} \times [0, \infty) \to R$ , where $κ \in [0, \infty)$ …

math.PR2007

A quenched limit theorem for the local time of random walks on \Z^2

Jürgen Gärtner, Rongfeng Sun

Let $X$ and $Y$ be two independent random walks on $Z^{2}$ with zero mean and finite variances, and let $L_{t} (X, Y)$ be the local time of $X - Y$ at the origin at time $t$ . We show that…

math.PR2005★ 81 cited

Geometric characterization of intermittency in the parabolic Anderson model

Jürgen Gärtner, Wolfgang König, Stanislav Molchanov

We consider the parabolic Anderson problem $\partial_{t} u = Δ u + ξ (x) u$ on $R_{+} \times Z^{d}$ with localized initial condition $u (0, x) = δ_{0} (x)$ and random i.i.d. potential $…