Behavior of the Poincar{\'e} constant along the Polchinski renormalization flow
Functional Analysis
2022-08-18 v1
Abstract
We control the behavior of the Poincar{\'e} constant along the Polchinski renormalization flow using a dynamic version of -calculus. We also treat the case of higher order eigenvalues. 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 4-measures and discuss the interpretation in terms of transport maps.
Keywords
Cite
@article{arxiv.2208.08186,
title = {Behavior of the Poincar{\'e} constant along the Polchinski renormalization flow},
author = {Jordan Serres},
journal= {arXiv preprint arXiv:2208.08186},
year = {2022}
}