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Behavior of the Poincaré constant along the Polchinski renormalization flow

Abstract : We control the behavior of the Poincaré constant along the Polchinski renormalization flow using a dynamic version of Γ-calculus. Our method generalizes a method introduced by B. Klartag and E. Putterman to analyze the evolution of log-concave distributions along the heat flow. Furthermore, we apply it to general ϕ 4-measures and discuss the interpretation in terms of transport maps.
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https://hal.archives-ouvertes.fr/hal-03740297
Contributor : Jordan Serres Connect in order to contact the contributor
Submitted on : Friday, July 29, 2022 - 11:20:21 AM
Last modification on : Thursday, August 18, 2022 - 3:56:34 AM

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  • HAL Id : hal-03740297, version 1

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Jordan Serres. Behavior of the Poincaré constant along the Polchinski renormalization flow. 2022. ⟨hal-03740297v1⟩

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