Results 41 to 50 of about 2,230,753 (183)
Infinite Series of Singularities in the Correlated Random Matrices Product
We consider the product of a large number of two 2 × 2 matrices chosen randomly (with some correlation): at any round there are transition probabilities for the matrix type, depending on the choice at previous round. Previously, a functional equation has
Ruben Poghosyan, David B. Saakian
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THE SPECTRUM OF RANDOM INNER-PRODUCT KERNEL MATRICES
We consider nxn matrices whose (i, j)th entry is f(X-i(T) X-j), where X-1,..., X-n are i.i.d. standard Gaussian in R-p, and f is a real-valued function. The weak limit of the eigenvalue distribution of these random matrices is studied at the limit when p,
Cheng, Xiuyuan, Singer, Amit
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The Smallest Singular Value Anomaly and the Condition Number Anomaly
Let A be an arbitrary matrix in which the number of rows, m, is considerably larger than the number of columns, n. Let the submatrix Ai,i=1,…,m, be composed of the first i rows of A.
Achiya Dax
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Superstatistical generalisations of Wishart-Laguerre ensembles of random matrices [PDF]
Using Beck and Cohen's superstatistics, we introduce in a systematic way a family of generalized Wishart–Laguerre ensembles of random matrices with Dyson index β = 1, 2 and 4. The entries of the data matrix are Gaussian random variables whose variances η
Akemann, G +5 more
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Spectra of euclidean random matrices [PDF]
10 pages, 4 ...
Mézard, M., Parisi, G., Zee, A.
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Random matrices and holographic tensor models
We further explore the connection between holographic O(n) tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and show that the results for the density of states, level spacing and spectral form factor ...
Chethan Krishnan +2 more
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Truncations of random orthogonal matrices [PDF]
4 pages, final revised version (one reference added, minor changes in Introduction)
Khoruzhenko, BA +2 more
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Universality for random band matrices
Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM
Shcherbyna, Tatyana
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RANDOM MATRICES WITH SLOW CORRELATION DECAY
We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away from the spectral edges, generalizing the recent result
LÁSZLÓ ERDŐS +2 more
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Universality of some models of random matrices and random processes [PDF]
Naumov A. Universality of some models of random matrices and random processes.
Naumov, Alexey
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