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Explore a multiscale analysis approach for decomposing high-dimensional measures in this 50-minute conference talk by Thierry Bodineau at ICBS2024. Delve into the renormalization group method used in statistical physics to study interacting particle systems and its application to deriving functional inequalities. Examine how this decomposition of measures can be interpreted in terms of optimal transport and gain insights into the structure of probability measures and relaxation of associated stochastic dynamics to equilibrium. Learn about related developments in the field and understand the significance of functional inequalities in providing information on complex probability measures.
