Anti-concentration applied to roots of randomized derivatives of polynomials
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Publication:6614491
DOI10.1214/24-ejp1180zbMath1548.30025MaRDI QIDQ6614491
Andre Galligo, Joseph Najnudel, Truong V. Vu
Publication date: 7 October 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Random power series in one complex variable (30B20)
Cites Work
- On the distribution of critical points of a polynomial
- On the dynamics of the roots of polynomials under differentiation
- The flow of polynomial roots under differentiation
- On the local pairing behavior of critical points and roots of random polynomials
- Higher-order, polar and Sz.-Nagy's generalized derivatives of random polynomials with independent and identically distributed zeros on the unit circle
- The bead process for beta ensembles
- The Distribution of Zeros of the Derivative of a Random Polynomial
- A Semicircle Law for Derivatives of Random Polynomials
- Zeros of random polynomials and their higher derivatives
- The boundary of the orbital beta process
- A nonlocal transport equation describing roots of polynomials under differentiation
- Critical points of random polynomials with independent identically distributed roots
- A nonlocal transport equation modeling complex roots of polynomials under differentiation
- Free Convolution Powers Via Roots of Polynomials
- Almost sure behavior of the critical points of random polynomials
- Zeros of a growing number of derivatives of random polynomials with independent roots
- Almost sure behavior of the zeros of iterated derivatives of random polynomials
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