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- Title
Behavior of the Poincaré constant along the Polchinski renormalization flow.
- Authors
Serres, Jordan
- Abstract
We control the behavior of the Poincaré constant along the Polchinski renormalization flow using a dynamic version of Γ -calculus. We also treat the case of higher order eigenvalues. Our method generalizes a method introduced by Klartag and 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.
- Subjects
RENORMALIZATION (Physics); SPECTRAL theory; RENORMALIZATION group; EIGENVALUES
- Publication
Communications in Contemporary Mathematics, 2024, Vol 26, Issue 7, p1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199723500359