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Stability of the Concentration Inequality on Polynomials

Author

García-Ferrero, María Ángeles

Ortega Cerdá, Joaquim

Publication date

2025-04-21



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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.

Document Type

Article

Document version

Published version

Language

English

CDU Subject

51 - Mathematics

Subject

Stability; Polynomials

Pages

35 p.

Publisher

Springer

Version of

Communications in Mathematical Physics

Documents

Stability of the Concentration Inequality on Polynomials.pdf

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Rights

MAGF has been partially supported by the grants CEX2023-001347-S, PID2021-125021NAI00, PID2021-124195NB-C32, PID2021-122154NB-I00 and PID2021-122156NB-I00, funded by MCIN/AEI/10.13039/501100011033. JOC has been partially supported by grants PID2021-123405NB-I00, MDM-2014-0445 by the Spanish Research Agency (AEI) and by the Departament de Recerca i Universitats, grant 2021 SGR 00087 and by the program Icrea Academia.

Attribution 4.0 International

MAGF has been partially supported by the grants CEX2023-001347-S, PID2021-125021NAI00, PID2021-124195NB-C32, PID2021-122154NB-I00 and PID2021-122156NB-I00, funded by MCIN/AEI/10.13039/501100011033. JOC has been partially supported by grants PID2021-123405NB-I00, MDM-2014-0445 by the Spanish Research Agency (AEI) and by the Departament de Recerca i Universitats, grant 2021 SGR 00087 and by the program Icrea Academia.

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CRM Articles [656]