Séminaire exceptionnel du LPTMS : Hugo Vanneuville


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405

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Level set percolation for Gaussian fields

Hugo Vanneuville (University of Lyon)

In this talk, we consider a random smooth Gaussian function from the
plane to \R and, given a level u, we colour the points where the
function is larger than u in black and the points where the function
is less than u in white. By relying on the recent work by V. Beffara
and D. Gayet, we study the percolation properties of this random
colouring and we try to compare it with Bernoulli percolation (in
particular by proposing a mathematical study of the Harris criterion).
Our work is motivated by the work by E. Bogomolny and C. Schmit in the
case of random planar waves. Joint w. S. Muirhead and A. Rivera.

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