搜索结果: 1-10 共查到“组合数学 random matrices”相关记录10条 . 查询时间(0.059 秒)
Singularity of Random Matrices over Finite Fields
Singularity of Random Matrices Finite Fields
2011/1/20
Let A be an n×n random matrix with iid entries over a finite field of order q. Suppose that the entries do not take values in any additive coset of the field with probability greater than 1 − ...
Products of Independent Non-Hermitian Random Matrices
Products Independent Non-Hermitian Random Matrices
2011/2/24
For fixed m > 1, we consider m independent n×n non-Hermitian random matrices X1, . . . ,Xm with i.i.d. centered entries with a finite (2 + )-th moment, > 0. As n tends to infinity, we show that the...
On the Asymptotic Spectrum of Products of Independent Random Matrices
Asymptotic Spectrum of Products Independent Random Matrices
2011/1/21
We consider products of independent random matrices with independent entries.The limit distribution of the expected empirical distribution of eigenvalues of such products is computed. Let X()jk , 1 ≤...
On the asymptotic distribution of the singular values of powers of random matrices
asymptotic distribution singular values of powers of random matrices
2011/1/21
We consider powers of random matrices with independent entries. Let Xij , i, j ≥ 1,be independent complex random variables with EXij = 0 and E|Xij |2 = 1 and let X denote an n×n matrix with [X]ij = Xi...
On the asymptotic distribution of singular values of products of large rectangular random matrices
asymptotic distribution of singular values of products large rectangular random matrices
2011/1/21
We consider products of independent large random rectangular matrices with independent entries. The limit distribution of the expected empirical distribution of singular values of such products is com...
Measuring maximal eigenvalue distribution of Wishart random matrices with coupled lasers
maximal eigenvalue distribution Wishart matrices coupled lasers
2011/3/2
We determined the probability distribution of the combined output power from twenty ve cou-
pled ber lasers and show that it agrees well with the Tracy-Widom and Majumdar-Vergassola
distributions ...
Loop models, random matrices and planar algebras
Loop models random matrices planar algebras
2011/1/17
We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumu-lation point. The latter can also be seen as moments of a ...
Free probability, Planar algebras, Subfactors and Random Matrices
Free probability von Neumann algebra random matrix subfactor planar algebra
2010/11/30
To a planar algebra P in the sense of Jones we associate a natural non-commutative ring, which can be viewed as the ring of non-commutative polynomials in several indeterminates, invariant under a sym...
Large deviations of the maximal eigenvalue of random matrices
Large deviations maximal eigenvalue random matrices
2010/12/3
We present detailed computations of the ’at least finite’ terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in β-ensembles,with any polynomial potential. β...
Dichotomy theorems for random matrices and closed ideals of operators on $\big(\bigoplus_{n=1}^\infty\ell_1^n \big)_{\mathrm{c}_0}$
Dichotomy random matrices closed ideals of operators
2010/12/7
We prove two dichotomy theorems about sequences of operators into L1 given by random matrices. In the second theorem we assume that the entries of each random ma-trix form a sequence of independent, s...