Add to ORKGIn this thesis, we studied the behaviour of the critical probability for percolation of Voronoi cells in the hyperbolic plane. There are profound differences between this model of percolation in the hyperbolic plane and the Euclidean plane. Most notably, the critical probability is a function of the intensity
We prove that the probability of crossing a large square in quenched Voronoi percolation converges t...
International audienceFollowing Tomita and Murakami (Research of Pattern Formation ed R Takaki (Toky...
26 pages, 1 figureIn [AGMT16], Ahlberg, Griffiths, Morris and Tassion prove that, asymptotically alm...
We consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process...
In this thesis, we studied the behaviour of the critical probability for percolation of Voronoi cell...
ITAI BENJAMINI AND ODED SCHRAMM The Voronoi model for percolation in H 2 . Percolation has been st...
We study percolation in the following random environment: let Z be a Poisson process of constant int...
We study percolation in the following random environment: let $Z$ be a Poisson process of constant i...
Recently, it was shown by Bollobás and Riordan [Probab Theory Related Fields 136 (2006), 417-468] th...
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of r...
We make use of the recent proof that the critical probability for percolation on random Voronoi tess...
We consider a percolation process on a random tiling of ℝ into Voronoi cells based on points of a re...
51 pages, 4 figures. Minor changes introduced (see in particular Lemma 2.4), an appendix (about meas...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We prove that the probability of crossing a large square in quenched Voronoi percolation converges t...
International audienceFollowing Tomita and Murakami (Research of Pattern Formation ed R Takaki (Toky...
26 pages, 1 figureIn [AGMT16], Ahlberg, Griffiths, Morris and Tassion prove that, asymptotically alm...
We consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process...
In this thesis, we studied the behaviour of the critical probability for percolation of Voronoi cell...
ITAI BENJAMINI AND ODED SCHRAMM The Voronoi model for percolation in H 2 . Percolation has been st...
We study percolation in the following random environment: let Z be a Poisson process of constant int...
We study percolation in the following random environment: let $Z$ be a Poisson process of constant i...
Recently, it was shown by Bollobás and Riordan [Probab Theory Related Fields 136 (2006), 417-468] th...
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of r...
We make use of the recent proof that the critical probability for percolation on random Voronoi tess...
We consider a percolation process on a random tiling of ℝ into Voronoi cells based on points of a re...
51 pages, 4 figures. Minor changes introduced (see in particular Lemma 2.4), an appendix (about meas...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We prove that the probability of crossing a large square in quenched Voronoi percolation converges t...
International audienceFollowing Tomita and Murakami (Research of Pattern Formation ed R Takaki (Toky...
26 pages, 1 figureIn [AGMT16], Ahlberg, Griffiths, Morris and Tassion prove that, asymptotically alm...