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Dynamical Systems Seminar – Giuseppe Tenaglia

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Giuseppe Tenaglia will present a Dynamical Systems Seminar on 13 October 2026 at the Huxley Building on the South Kensington Campus. The session will explore metastability and conditioned dynamics in high-dimensional systems, proposing quasi-stationary measures as a framework for describing long-lived transient behaviour.

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 conditioned on remaining within a prescribed region, and describe statistical behaviour before escape. Motivated by this perspective, we present recent work on products of mixing Markov chains with holes whose measure vanishes as the dimension grows. We establish quantitative stability results for their quasi-stationary measures, taking a first step towards an ergodic theory of conditioned dynamics in high-dimensional systems. Based on joint work with Matteo Tanzi.

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Dynamical Systems Seminar – Giuseppe Tenaglia takes place on Tuesday, 13 October 2026 at 14:00.

Dynamical Systems Seminar – Giuseppe Tenaglia is held at Huxley Building, South Kensington Campus in London (145, Huxley Building, SW7 2AZ).

Entry to Dynamical Systems Seminar – Giuseppe Tenaglia is free.

The forecast for Dynamical Systems Seminar – Giuseppe Tenaglia is Light drizzle · 21°C.

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