搜索结果: 1-15 共查到“知识库 数学 Random matrices”相关记录28条 . 查询时间(0.309 秒)
On the Eigenvalues of Random Matrices.
Linear Functionals of Eigenvalues of Random Matrices
Random unitary matrix the calculation function
2015/7/14
.L.et 1% be a random r~x r~unitary matrix with distribution given
by Haar measure on the unitary group. Using explicit monlerlt calculations,
a general criterion is given for linear cornbinations of...
Random Matrices, Magic Squares and Matching Polynomials
Random matrix the rubik's cube matching polynomial
2015/7/8
Random Matrices, Magic Squares and Matching Polynomials。
Random matrices: Universality of local spectral statistics of non-Hermitian matrices
Random matrices non-Hermitian matrices Probability
2012/6/30
It is a classical result of Ginibre that the normalized bulk $k$-point correlation functions of a complex $n \times n$ gaussian matrix with independent entries of mean zero and unit variance are asymp...
The circular law asserts that the spectral measure of eigenvalues of rescaled random matrices without symmetry assumption converges to the uniform measure on the unit disk. We prove a local version of...
On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators
Pseudospectra Non-Self-Adjoint Random Matrices Operators
2011/8/22
Abstract: In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous determini...
A CLT for Information-theoretic statistics of Non-centered Gram random matrices
Random Matrix Spectral measure Stieltjes Transform Central Limit Theorem
2011/8/22
Abstract: In this article, we study the fluctuations of the random variable: $$ {\mathcal I}_n(\rho) = \frac 1N \log\det(\Sigma_n \Sigma_n^* + \rho I_N),\quad (\rho>0) $$ where $\Sigma_n= n^{-1/2} D_n...
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
Toda Lattices Continuum Limit Random Matrices Odd Weights
2011/7/7
This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continues an inves...
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 ...