D. Erhard

activity

20122024

most citedDiscretisation of regularity structures

30 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2013 · math.PRShow all

3 papers · 2 filters

math.PR2013

Transience of the vacant set for near-critical random interlacements in high dimensions

Alexander Drewitz, Dirk Erhard

The model of random interlacements is a one-parameter family $I^{u},$ $u \geq 0,$ of random subsets of $Z^{d},$ which locally describes the trace of simple random walk…

math.PR2013★ 2 cited

Brownian Paths Homogeneously Distributed in Space: Percolation Phase Transition and Uniqueness of the Unbounded Cluster

Dirk Erhard, Julián Martínez, Julien Poisat

We consider a continuum percolation model on $R^{d}$ , $d \geq 1$ .For $t, λ \in (0, \infty)$ and $d \in {1, 2, 3}$ , the occupied set is given by the union of independent Brownian paths run…

math.PR2013

The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent

Dirk Erhard, Frank den Hollander, Gregory Maillard

We continue our study of the parabolic Anderson equation $\partial u (x, t) / \partial t = κ Δ u (x, t) + ξ (x, t) u (x, t)$ , $x \in Z^{d}$ , $t \geq 0$ , where $κ \in [0, \infty)$ is the diffusion con…