Add to ORKGWe study fine properties of the convergence of a high intensity shot noise field towards the Gaussian field with the same covariance structure. In particular we (i) establish a strong invariance principle, i.e. a quantitative coupling between a high intensity shot noise field and the Gaussian limit such that they are uniformly close on large domains with high probability, and (ii) use this to derive an asymptotic expansion for the critical level above which the excursion sets of the shot noise field percolate.Comment: 24 pages, 2 figures. Version accepted for publication in AIH
22 pages, 1 figure, minor changes introduced and two short appendices addedWe show that planar Bargm...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
Gaussian fields are widely used for modelling spatial phenomena in disciplines such as cosmology, me...
We establish the sharpness of the phase transition for a wide class of Gaussian percolation models, ...
Version accepted for publication. 36 pages, 3 figuresWe prove that the connectivity of the level set...
In this paper we examine isotropic Gaussian random fields defined on $\mathbb R^N$ satisfying certai...
We consider the Gaussian free field on Zd, d≥3, and prove that the critical density for percolation ...
International audienceThis article studies the scaling limit of a class of shot-noise fields defined...
We consider the Gaussian free field on Zd, d ≥ 3, and prove that the critical density for percolatio...
For a smooth stationary Gaussian field on $\mathbb{R}^d$ and level $\ell \in \mathbb{R}$, we conside...
This thesis is devoted to the study of many aspects of shot noise random fields. The structure of we...
We study the energy landscape of a model of a single particle on a random potential, that is, we inv...
49 pages, 6 figures, minor changes introducedIn this article, we study the excursions sets $\mathcal...
Modeling the critical points of a Gaussian random field is an important challenge in stochastic geom...
We prove the existence of a sharp phase transition in the global connectivity of the excursion sets ...
22 pages, 1 figure, minor changes introduced and two short appendices addedWe show that planar Bargm...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
Gaussian fields are widely used for modelling spatial phenomena in disciplines such as cosmology, me...
We establish the sharpness of the phase transition for a wide class of Gaussian percolation models, ...
Version accepted for publication. 36 pages, 3 figuresWe prove that the connectivity of the level set...
In this paper we examine isotropic Gaussian random fields defined on $\mathbb R^N$ satisfying certai...
We consider the Gaussian free field on Zd, d≥3, and prove that the critical density for percolation ...
International audienceThis article studies the scaling limit of a class of shot-noise fields defined...
We consider the Gaussian free field on Zd, d ≥ 3, and prove that the critical density for percolatio...
For a smooth stationary Gaussian field on $\mathbb{R}^d$ and level $\ell \in \mathbb{R}$, we conside...
This thesis is devoted to the study of many aspects of shot noise random fields. The structure of we...
We study the energy landscape of a model of a single particle on a random potential, that is, we inv...
49 pages, 6 figures, minor changes introducedIn this article, we study the excursions sets $\mathcal...
Modeling the critical points of a Gaussian random field is an important challenge in stochastic geom...
We prove the existence of a sharp phase transition in the global connectivity of the excursion sets ...
22 pages, 1 figure, minor changes introduced and two short appendices addedWe show that planar Bargm...
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete...
Gaussian fields are widely used for modelling spatial phenomena in disciplines such as cosmology, me...