Anti-concentration applied to roots of randomized derivatives of polynomials-Reference-Cited by-同舟云学术

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Anti-concentration applied to roots of randomized derivatives of polynomials

Published:2024-01-01 Issue:none Volume:29 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Galligo André¹,Najnudel Joseph²,Vu Truong³

Affiliation:

1. Université Côte d’Azur, Laboratoire de Mathématiques “J.A. Dieudonné”, UMR CNRS 7351, Inria, Nice, France

2. University of Bristol, School of Mathematics, Bristol, United Kingdom

3. University of Illinois at Chicago, Department of Mathematics, Statistics, and Computer Science, Chicago, USA

Publisher

Institute of Mathematical Statistics

Reference22 articles.

1. P. Cheung, T. Ng, and S. Yam. Critical points of random finite blaschke products with independent and identically distributed zeros. Complex Analysis and Potential Theory with Applications, 2014.

2. Z. Kabluchko. Repeated differentiation and free unitary Poisson process. arXiv preprint arXiv:2112.14729, 2021.

3. T. Alazard, O. Lazar, and Q. H. Nguyen. On the dynamics of the roots of polynomials under differentiation. J. Math. Pures Appl., 162: 1–22, 2022. MR4417282

4. J. Angst, D. Malicet, and G. Poly. Almost sure behavior of the critical points of random polynomials. Bull. Lond. Math. Soc., 56(2):767–782, 2024. MR4711583

5. T. Assiotis, J. Najnudel. The boundary of the orbital beta process Mosc. Math. J., 21(4):659–694, 2021.

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