English

Stability of the concentration inequality on polynomials

Classical Analysis and ODEs 2025-06-18 v2

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.

Keywords

Cite

@article{arxiv.2408.07424,
  title  = {Stability of the concentration inequality on polynomials},
  author = {María Ángeles García-Ferrero and Joaquim Ortega-Cerdà},
  journal= {arXiv preprint arXiv:2408.07424},
  year   = {2025}
}

Comments

Minor corrections in the proof of Lemma 2.1

R2 v1 2026-06-28T18:12:40.783Z