Some new results in random matrices over finite fields
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Publication:5006323
DOI10.1112/jlms.12405zbMath1472.15044arXiv1907.02575OpenAlexW3106698896MaRDI QIDQ5006323
Sean Meehan, Hoi H. Nguyen, Kyle Luh
Publication date: 13 August 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02575
Linear algebraic groups over finite fields (20G40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Random matrices (algebraic aspects) (15B52)
Related Items (3)
Singularity of sparse Bernoulli matrices ⋮ The rank of the sandpile group of random directed bipartite graphs ⋮ The characteristic polynomial of a random matrix
Cites Work
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- Optimal inverse Littlewood-Offord theorems
- Smith normal form in combinatorics
- The probability that a matrix be nilpotent
- Random symmetric matrices are almost surely nonsingular.
- On a Cohen-Lenstra heuristic for Jacobians of random graphs
- John-type theorems for generalized arithmetic progressions and iterated sumsets
- On the singularity probability of discrete random matrices
- Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\)
- The cycle structure of a linear transformation over a finite field
- Some asymptotic results on finite vector spaces
- Cyclic matrices in classical groups over finite fields
- Stein's method and the rank distribution of random matrices over finite fields
- Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
- The Littlewood-Offord problem and invertibility of random matrices
- The asymptotic probability that a random biased matrix is invertible
- Singularity Probabilities for Random Matrices over Finite Fields
- Random matrix theory over finite fields
- On the singularity probability of random Bernoulli matrices
- Smallest singular value of a random rectangular matrix
- Estimates for the concentration function of combinatorial number theory and probability
- Derangements and Eigenvalue-Free Elements in Finite Classical Groups
- How random is the characteristic polynomial of a random matrix ?
- The rank of sparse random matrices over finite fields
- Normal Vector of a Random Hyperplane
- On the Probability That a Random ± 1-Matrix Is Singular
- Surjectivity of near-square random matrices
- On the counting problem in inverse Littlewood–Offord theory
- The distribution of sandpile groups of random graphs
- The Smith Normal Form Distribution of A Random Integer Matrix
- Random integral matrices and the Cohen-Lenstra heuristics
- Invertibility of symmetric random matrices
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