Modeling Complex Root Motion of Real Random Polynomials under Differentiation

Author:

Galligo Andre1

Affiliation:

1. Université de la Côte d'Azur (UCA), LJAD and INRIA, Nice, France

Publisher

ACM

Reference35 articles.

1. Alazar , T. et al. On the dynamics of the roots of polynomials under differentiation. arXiv 2104.06921 ( 2022 ). Alazar, T. et al. On the dynamics of the roots of polynomials under differentiation. arXiv 2104.06921 (2022).

2. Arizmendi , O. , Garza-Vargas , J. and Perales , D . Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions. arXiv:2108.08489 ( 2021 ). Arizmendi, O., Garza-Vargas, J. and Perales, D. Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions. arXiv:2108.08489 (2021).

3. Bogvad R. Hagg C. and Shapiro B. Rodrigues'descendants of a polynomial and Boutroux curves. arXiv: 2107.05710 (2021). Bogvad R. Hagg C. and Shapiro B. Rodrigues'descendants of a polynomial and Boutroux curves. arXiv: 2107.05710 (2021).

4. Universal large deviation for Kac polynomials. Electronic Communication in probability;Butez R.;IMS.,2017

5. Butez R. and García-Zelada D. Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background. arXiv:1811.12225v2 [math.PR] (2020). Butez R. and García-Zelada D. Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background. arXiv:1811.12225v2 [math.PR] (2020).

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