Absence of percolation in a Poisson model of stopped paths
Jean-Baptiste GOUÉRÉ
Université de Tours
Date(s) : 04/11/2025 iCal
14h30 - 15h30
Starting from the points of a homogeneous Poisson point process in the plane, we let independent and identically distributed random continuous paths grow. Each path stops growing at time if it intersects the trace of any other path up to that time. We let time go to infinity and then consider the union of all paths to investigate the connectivity properties of this set. Under mild assumptions, we show the absence of percolation provided that a certain loop condition is satisfied. Joint work with David Coupier and David Dereudre.
Emplacement
I2M Saint-Charles - Salle de séminaire
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