Dear Colleagues,

we would like to invite you to the following seminar that will take place on March 25 at 14.30. The seminar will be held online via the Zoom platform.

The organizers,

Alessandra Bianchi, Giorgia Callegaro, Marco Formentin _____________________________________________________

Speaker: Benedikt Jahnel (WIAS, Berlin)

Title: Phase transitions and large deviations for the Boolean model of continuum percolation for Cox point processes

MARCH 25 (Friday) - 14:30

Zoom link https://unipd.zoom.us/j/83753744114 (meeting ID 837 5374 4114), available also on the webpage https://www.math.unipd.it/~bianchi/seminari/

Abstract: In this talk, I consider the Boolean model with random radii based on Cox point processes, i.e., Poisson point processes in random environment. Under a condition of stabilization for the random environment, our results establish existence and non-existence of subcritical regimes for the size of the cluster at the origin in terms of volume, diameter and number of points, also including their moments. The second part of the talk will address rates of convergence of the percolation probability for the Cox--Boolean model with fixed radii in a variety of asymptotic regimes. This is based on joint work with Christian Hirsch, András Tóbiás and Élie Cali.