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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Sharpness of the phase transition for Voronoi percolation in $\mathbb R^d$

## Sharpness of the phase transition for Voronoi percolation in $\mathbb R^d$Add to your list(s) Download to your calendar using vCal - Vincent Tassion (Université de Genève)
- Wednesday 13 July 2016, 13:30-14:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. SNAW01 - Graph limits and statistics Take a Poisson point process on $\mathbb R^d$ and consider its Voronoi tessellation. Colour each cell of the tessellation black with probability $p$ and white with probability $1-p$ independently of each other. This rocess undergoes a phase transition at a critical parameter $p_c(d)$: below $p_c(d)$ all the black connected components are bounded almost surely, and above $p_c$ there is an unbounded black connected component almost surely. In any dimension $d$ larger than 2, we prove that for $p This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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