Stability of the concentration inequality on polynomials
arXiv:2408.07424 · doi:10.1007/s00220-025-05292-8
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.
Minor corrections in the proof of Lemma 2.1
References in corpus (5)
- Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
- The Faber-Krahn inequality for the Short-time Fourier transform
- On Lieb's conjecture for the Wehrl entropy of Bloch coherent states
- Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States
- A lower bound for the Wehrl entropy of quantum spin with sharp high-spin asymptotics