Event

The percolation phase transition of the random plane wave

  • Conférencier  Hugo Vanneuville from Université Grenoble-Alpes

  • Lieu

    WEBEX

    LU

  • Thème(s)
    Mathématiques

Abstract: Consider the random plane wave f, which is a random eigenfunction of the Laplacian in R^2. Given a real number u, we study the connectivity properties of the set {f0. As I will explain in the talk, the main difficulty is that the field is not positively correlated. In the talk, I will present the strategy of proof, based on some superconcentration considerations that have enabled us to revisit the following general idea from (Russo, 1982; Talagrand, 1994…): “an event satisfies a phase transition if it depends little on any given point”. This is joint work with Stephen Muirhead and Alejandro Rivera

Webex meeting information:

https://unilu.webex.com/unilu/j.php?MTID=mc5d4abd209d27a50440fe2a76eaf72b3

Thursday, May 6, 2021 1:00 pm | 1 hour | (UTC+02:00) Amsterdam, Berlin, Bern, Rome, Stockholm, Vienna

Meeting number: 163 304 7008

Password: cPP6diqPK74