G. Maillard

activity

20032013

most citedConstruction of a specification from its singleton part

14 citations · 21 across the 14 of their papers we have counts for

collaborators

15 papers

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…

math.PR2012★ 1 cited

The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent

Dirk Erhard, Frank den Hollander, Grégory Maillard

In this paper we study the parabolic Anderson equation \partial u(x,t)/\partial t=κΔu(x,t)+ξ(x,t)u(x,t), x\in\Z^d, t\geq 0, where the u-field and the ξ-field are \R-valued, κ\in [0…

math.PR2011

Regular $g$ -measures are not always Gibbsian

Roberto Fernández, Sandro Gallo, Grégory Maillard

Regular $g$ -measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields dete…

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.PR2010

Parabolic Anderson model with voter catalysts: dichotomy in the behavior of Lyapunov exponents

Grégory Maillard, Thomas Mountford, Samuel Schöpfer

We consider the parabolic Anderson model $\partial u / \partial t = κ Δ u + γ ξ u$ with $u : Z^{d} \times R^{+} \to R^{+}$ , where $κ \in R^{+}$ is the diffusion constant, $Δ$ is the discret…

math.PR2010

Parabolic Anderson model with a finite number of moving catalysts

Fabienne Castell, Onur Gün, Grégory Maillard

We consider the parabolic Anderson model (PAM) which is given by the equation $\partial u / \partial t = κ Δ u + ξ u$ with $u : Z^{d} \times [0, \infty) \to R$ , where $κ\in [0,\infty…

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

The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent

Regular g-measures are not always Gibbsian

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

Parabolic Anderson model with voter catalysts: dichotomy in the behavior of Lyapunov exponents

Parabolic Anderson model with a finite number of moving catalysts

Regular $g$ -measures are not always Gibbsian