Almost sure behavior of the zeros of iterated derivatives of random polynomials-Reference-Cited by-同舟云学术

Almost sure behavior of the zeros of iterated derivatives of random polynomials

Published:2024-01-01 Issue:none Volume:29 Page:
ISSN:1083-589X
Container-title:Electronic Communications in Probability
language:
Short-container-title:Electron. Commun. Probab.

Author:

Michelen Marcus¹,Vu Xuan-Truong¹

Affiliation:

1. University of Illinois Chicago, United States of America

Publisher

Institute of Mathematical Statistics

Reference21 articles.

1. T. Alazard, O. Lazar, and Q. H. Nguyen. On the dynamics of the roots of polynomials under differentiation. Journal de Mathématiques Pures et Appliquées, 162:1–22, 2022.

2. J. Angst, D. Malicet, and G. Poly. Almost sure behavior of the critical points of random polynomials. Bulletin of the London Mathematical Society, 56(2):767–782, 2024.

3. S.-S. Byun, J. Lee, and T. R. Reddy. Zeros of random polynomials and their higher derivatives. Trans. Amer. Math. Soc., 375(9):6311–6335, 2022.

4. 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.

5. P.-L. Cheung, T. W. Ng, J. Tsai, and S. C. P. Yam. Higher-order, polar and Sz.-Nagy’s generalized derivatives of random polynomials with independent and identically distributed zeros on the unit circle. Comput. Methods Funct. Theory, 15(1):159–186, 2015.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Anti-concentration applied to roots of randomized derivatives of polynomials;Electronic Journal of Probability;2024-01-01