Free Convolution Powers Via Roots of Polynomials
From MaRDI portal
Publication:6062274
DOI10.1080/10586458.2021.1980751arXiv2009.03869OpenAlexW3207691745MaRDI QIDQ6062274
Publication date: 30 November 2023
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03869
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wigner matrices, the moments of roots of Hermite polynomials and the semicircle law
- On the distribution of critical points of a polynomial
- Free probability and random matrices
- Atoms and regularity for measures in a partially defined free convolution semigroup
- A free analogue of Shannon's problem on monotonicity of entropy
- Addition of certain non-commuting random variables
- The analogues of entropy and of Fisher's information measure in free probability theory. I
- On the Hausdorff continuity of free Lévy processes and free convolution semigroups
- Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- The linearization of the central limit operator in free probability theory
- Sums of random polynomials with independent roots
- On a nonlocal differential equation describing roots of polynomials under differentiation
- Finite free convolutions of polynomials
- A fast simple algorithm for computing the potential of charges on a line
- On the local pairing behavior of critical points and roots of random polynomials
- Pairing of zeros and critical points for random polynomials
- Limiting empirical distribution of zeros and critical points of random polynomials agree in general
- Distances between zeroes and critical points for random polynomials with i.i.d. zeroes
- Lectures on the Combinatorics of Free Probability
- Pairing between zeros and critical points of random polynomials with independent roots
- Differentiation evens out zero spacings
- On the multiplication of free N -tuples of noncommutative random variables
- Principal Submatrices, Restricted Invertibility, and a Quantitative Gauss–Lucas Theorem
- A Semicircle Law for Derivatives of Random Polynomials
- Zeros of random polynomials and their higher derivatives
- Crystallization of Random Matrix Orbits
- A nonlocal transport equation describing roots of polynomials under differentiation
- Zeros of a random analytic function approach perfect spacing under repeated differentiation
- Critical points of random polynomials with independent identically distributed roots
- Supports of Measures in a Free Additive Convolution Semigroup
- A nonlocal transport equation modeling complex roots of polynomials under differentiation
