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Determinants of Airy Operators and Applications to Random Matrices

โœ Scribed by Estelle L. Basor; Harold Widom


Book ID
111534943
Publisher
Springer
Year
1999
Tongue
English
Weight
139 KB
Volume
96
Category
Article
ISSN
0022-4715

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๐Ÿ“œ SIMILAR VOLUMES


On Products of Random Matrices and Opera
โœ Virtser, A. D. ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 818 KB
Determinants and ranks of random matrice
โœ Richard P Brent; Brendan D McKay ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 739 KB

Let Zm be the ring of integers modulo m. The m-rank of an integer matrix is the largest order of a square submatrix whose determinant is not divisible by m. We determine the probability that a random rectangular matrix over ~Ym has a specified m-rank and, if it is square, a specified determinant. Th