Alexis Prevost - First passage percolation with long-range correlations and applications to random Schrödinger operators
| Dates: | 23 March 2022 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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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.
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Frank Adams Room 2
Alan Turing Building
Manchester
