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Research talks;Partial Differential Equations;Probability and Statistics
I will consider the asymmetric simple exclusion process on a linear lattice of N sites, and I will present a result on the asymptotic (in N) behaviour of the distance to equilibrium of this process starting from the "worst" initial condition. This result shows a cutoff phenomenon: instead of decaying smoothly with time, the distance to equilibrium falls abruptly at some deterministic time. This is a joint work with Hubert Lacoin (IMPA).
60J27 ; 37A25 ; 82C22
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