Stability of the concentration inequality on polynomials

2024/08/14 by García-Ferrero, María Ángeles, Ortega-Cerdà, Joaquim · 3 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2408.07424

Abstract

In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.

Cited by

• Stability of Wehrl-type Functionals and Concentration Estimates on Bergman Spaces of Log-Subharmonic Functions on the Unit Sphere
• The isoperimetric inequality for the Ky Fan norm
• Sharp stability of convex functionals on weighted Bergman spaces with applications

Related

• Concentration and Moment Inequalities for Polynomials of Independent Random Variables
• Anti-concentration for polynomials of independent random variables
• Concentration of Measure Inequalities and Their Communication and Information-Theoretic Applications
• Sharp Concentration Inequalities for the Centered Relative Entropy
• A notion of entropy on the roots of polynomials