Behavior of the poincare constant along the polchinski renormalization flow

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2022-08-17 DOI:10.1142/s0219199723500359

Jordan Serres

引用次数: 2

Abstract

We control the behavior of the Poincar{\'e} constant along the Polchinski renormalization flow using a dynamic version of $\Gamma$-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 $\Phi$ 4-measures and discuss the interpretation in terms of transport maps.

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庞加莱常数沿波钦斯基重整化流的行为

我们使用$\Gamma$-演算的动态版本来控制Poincar常数沿着Polchinski重整化流的行为。我们还讨论了高阶特征值的情况。我们的方法推广了B.Klartag和E.Putterman提出的一种方法来分析对数凹分布沿热流的演变。此外，我们将其应用于一般的$\Phi$4测量，并讨论了交通地图的解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.