AbstractThis paper compares the asymptotic behavior of certain probabilities for n × n upper triangular matrices over Fq to the asymptotic behavior of the corresponding probabilities for arbitraty n × n matrices over Fq. Specifically, the asymptotic behavior of probabilities for a given rank, for a given corank, and for diagonalizability are considered
We prove that independent families of permutation invariant random matrices are asymptotically free ...
. We present an upper bound O(n 2 ) for the mixing time of a simple random walk on upper triangula...
AbstractIn this paper, we apply the vector space cycle index derived by Kung (Linear Algebra Appl. 3...
For a prime p, we consider some natural classes of matrices over a finite field Fp of p elements, su...
For a prime p, we consider some natural classes of matrices over a finite field Fp of p elements, su...
AbstractSuppose M is an n × n matrix with entries in GF(q). For fixed n, we specify the behavior as ...
An expression is derived for the probability that the determinant of an n x n matrix over a finite f...
An expression is derived for the probability that the determinant of an n x n matrix over a finite f...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
18 pages, 3 figuresWe prove that independent families of permutation invariant random matrices are a...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
18 pages, 3 figuresInternational audienceWe prove that independent families of permutation invariant...
18 pages, 3 figuresInternational audienceWe prove that independent families of permutation invariant...
For any family of $N\times N$ random matrices $(\mathbf{A}_k)_{k\in K}$ whichis invariant, in law, u...
We determine the limiting distribution of the number of eigenvalues of a random n×n matrix over Fq a...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
. We present an upper bound O(n 2 ) for the mixing time of a simple random walk on upper triangula...
AbstractIn this paper, we apply the vector space cycle index derived by Kung (Linear Algebra Appl. 3...
For a prime p, we consider some natural classes of matrices over a finite field Fp of p elements, su...
For a prime p, we consider some natural classes of matrices over a finite field Fp of p elements, su...
AbstractSuppose M is an n × n matrix with entries in GF(q). For fixed n, we specify the behavior as ...
An expression is derived for the probability that the determinant of an n x n matrix over a finite f...
An expression is derived for the probability that the determinant of an n x n matrix over a finite f...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
18 pages, 3 figuresWe prove that independent families of permutation invariant random matrices are a...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
18 pages, 3 figuresInternational audienceWe prove that independent families of permutation invariant...
18 pages, 3 figuresInternational audienceWe prove that independent families of permutation invariant...
For any family of $N\times N$ random matrices $(\mathbf{A}_k)_{k\in K}$ whichis invariant, in law, u...
We determine the limiting distribution of the number of eigenvalues of a random n×n matrix over Fq a...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
. We present an upper bound O(n 2 ) for the mixing time of a simple random walk on upper triangula...
AbstractIn this paper, we apply the vector space cycle index derived by Kung (Linear Algebra Appl. 3...
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