Dynamical Systems Seminar – Giuseppe Tenaglia

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Speaker: Giuseppe Tenaglia Title: Metastability and conditioned dynamics in high-dimensional systems Abstract: High-dimensional systems can exhibit long-lived transient behaviour, even when they have a unique invariant measure. In some mean-field models, these metastable regimes correspond to distinct equilibria of the infinite-particle limit, yet the invariant measure of the finite-dimensional system does not capture their transient dynamics. In this talk, we propose quasi-stationary measures as a framework for describing these metastable regimes. These measures are invariant under dynamics …