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Simons Foundation Lectures · Yesterday · 49 min

ICM 2026 Invited Section Lecture - Frédéric Faure

Can Quantum Dynamics Emerge from Classical Chaos? Abstract Anosov geodesic flows are among the simplest mathematical models of deterministic chaos. We explain how, quite unexpectedly, quantum dynamics emerges from purely classical correlation functions. The underlying mechanism is the discrete Pollicott–Ruelle spectrum of the geodesic flow, revealed through microlocal analysis. This spectrum naturally arranges into vertical bands; when the rightmost band is separated from the rest by a gap, it governs an effective dynamics that mirrors quantum evolution. Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices

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Can Quantum Dynamics Emerge from Classical Chaos?

Abstract Anosov geodesic flows are among the simplest mathematical models of deterministic chaos. We explain how, quite unexpectedly, quantum dynamics emerges from purely classical correlation functions. The underlying mechanism is the discrete Pollicott–Ruelle spectrum of the geodesic flow, revealed through microlocal analysis. This spectrum naturally arranges into vertical bands; when the rightmost band is separated from the rest by a gap, it governs an effective dynamics that mirrors quantum evolution.

Uploaded 06-10-26

Learn more about your ad choices. Visit megaphone.fm/adchoices

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