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math.FA2022
Behavior of the Poincar{é} constant along the Polchinski renormalization flow
Jordan Serres
We control the behavior of the Poincar{é} constant along the Polchinski renormalization flow using a dynamic version of -calculus. We also treat the case of higher order eigenva…
math.CA2022
Stability of higher order eigenvalues in dimension one
Jordan Serres
We study stability of the eigenvalues of the generator of a one dimensional reversible diffusion process satisfying some natural conditions. The proof is based on Stein's method. I…
math.MG2022★ 1 cited
Stability estimates for the sharp spectral gap bound under a curvature-dimension condition
Max Fathi, Ivan Gentil, Jordan Serres
We study stability of the sharp spectral gap bounds for metric-measure spaces satisfying a curvature bound. Our main result, new even in the smooth setting, is a sharp quantitative…