W. Konig

most citedPotential confinement property in the Parabolic Anderson Model

1 citations · 1 across the 2 of their papers we have counts for

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math.PR2007★ 1 cited

Potential confinement property in the Parabolic Anderson Model

Gabriela Gruninger, Wolfgang Konig

We consider the parabolic Anderson model, the Cauchy problem for the heat equation with random potential in $Z^{d}$ . We use i.i.d. potentials $ξ : Z^{d} \to R$ in the third universalit…

math.PR2006

Ordered random walks

Peter Eichelsbacher, Wolfgang Konig

We construct the conditional version of $k$ independent and identically distributed random walks on $R$ given that they stay in strict order at all times. This is a generalisation…

math.PR2006★ 3 cited

Complete localisation in the parabolic Anderson model with Pareto-distributed potential

Wolfgang Konig, Peter Morters, Nadia Sidorova

The parabolic Anderson problem is the Cauchy problem for the heat equation $\partial_{t} u (t, z) = Δ u (t, z) + ξ (z) u (t, z)$ on $(0, \infty) \times Z^{d}$ with random potential $(ξ(z)…

math.PR2005

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 $…

math.PR2004

Annealed deviations of random walk in random scenery

Nina Gantert, Wolfgang König, Zhan Shi

Let $(Z_{n})_{n \in N}$ be a $d$ -dimensional {\it random walk in random scenery}, i.e., $Z_{n} = \sum_{k = 0}^{n - 1} Y (S_{k})$ with $(S_{k})_{k \in N_{0}}$ a random walk in $Z^{d}$ and $(Y(z))_{z\in\…