The characteristic polynomial of a random matrix
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Publication:2095113
DOI10.1007/s00493-020-4657-0OpenAlexW3047073449MaRDI QIDQ2095113
Publication date: 9 November 2022
Published in: Combinatorica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.01223
Galois theory (11R32) Combinatorial probability (60C05) Random matrices (algebraic aspects) (15B52) Relations with random matrices (11M50)
Related Items (4)
Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence ⋮ Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case ⋮ Note on graphs with irreducible characteristic polynomials ⋮ Random symmetric matrices: rank distribution and irreducibility of the characteristic polynomial
Cites Work
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- On the number of matrices with given characteristic polynomial
- Random symmetric matrices are almost surely nonsingular.
- On the singularity probability of discrete random matrices
- Zeros of polynomials with \(0, 1\) coefficients
- Logarithmic combinatorial structures: A probabilistic approach
- Random matrices have simple spectrum
- Low-degree factors of random polynomials
- Limits of logarithmic combinatorial structures.
- Invariable generation of the symmetric group
- On the singularity of random symmetric matrices
- Irreducible polynomials of bounded height
- Irreducibility of random polynomials of large degree
- Singularity of random Bernoulli matrices
- Four random permutations conjugated by an adversary generateSnwith high probability
- On random ±1 matrices: Singularity and determinant
- How random is the characteristic polynomial of a random matrix ?
- The spectral radii and norms of large dimensional non-central random atrices matrices
- High-Dimensional Probability
- Surjectivity of near-square random matrices
- Some new results in random matrices over finite fields
- Singularity of random symmetric matrices revisited
- SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS
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