Alexis Prevost - First passage percolation with long-range correlations and applications to random Schrödinger operators
|Dates:||23 March 2022|
|Times:||15:00 - 16:00|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
Alexis Prevost (University of Cambridge) will speak in the Probability seminar.
I will present some results on first passage percolation (FPP) when the passage times have long-range correlations on Z^d, d ? 2. In particular, I? will explain why the time-constant is positive, that is why the FPP distance is comparable to the Euclidian distance, using a renormalization scheme. The passage times can be functionals of discrete Gaussian free fields, Ginzburg-Landau ? interface models or random interlacements as prominent examples. I will also present two applications for random conductance models (RCM) with possibly unbounded and strongly correlated conductances. Joint work with Sebastian Andres.
Travel and Contact Information
Frank Adams Room 2
Alan Turing Building