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Finite Diagonal Random Matrices
Journal of Theoretical Probability, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bose, Arup, Sen, Sanchayan
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1963
Let \(P(n,N(n))\) denote the probability that a random \(n\) by \(n\) matrix with \(N(n)\) 1's and \(n^2-N(n)\) 0's has a positive permanent. The authors show that if \(N(n)=n\log n+cn+o(n)\), where \(c\) is an arbitrary constant, then \(\lim_{n \to \infty} P(n,N(n)) = \exp(-2e^{-c})\).
Erdős, Pál, Rényi, Alfréd
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Let \(P(n,N(n))\) denote the probability that a random \(n\) by \(n\) matrix with \(N(n)\) 1's and \(n^2-N(n)\) 0's has a positive permanent. The authors show that if \(N(n)=n\log n+cn+o(n)\), where \(c\) is an arbitrary constant, then \(\lim_{n \to \infty} P(n,N(n)) = \exp(-2e^{-c})\).
Erdős, Pál, Rényi, Alfréd
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SIAM Review, 1967
Introduction. It has been observed repeatedly that von iNeumann made important contributions to almost all parts of mathematics with the exception of number theory. He had a particular interest in those parts of mathematics which formed cornerstones of other, more empirical sciences, such as physics or economics.
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Introduction. It has been observed repeatedly that von iNeumann made important contributions to almost all parts of mathematics with the exception of number theory. He had a particular interest in those parts of mathematics which formed cornerstones of other, more empirical sciences, such as physics or economics.
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Noble-Metal Based Random Alloy and Intermetallic Nanocrystals: Syntheses and Applications
Chemical Reviews, 2021Ming Zhou, Can Li, Jiye Fang
exaly
Kibernetyka ta Systemnyi Analiz
The paper examines methods for assessing the distribution of elements in a stochastic matrix assuming an exponential distribution of elements in the corresponding adjacency matrix of a graph. Two cases are considered: the first assumes homogeneity of all graph vertices, while the second assumes heterogeneity in the distribution of vertices with ...
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The paper examines methods for assessing the distribution of elements in a stochastic matrix assuming an exponential distribution of elements in the corresponding adjacency matrix of a graph. Two cases are considered: the first assumes homogeneity of all graph vertices, while the second assumes heterogeneity in the distribution of vertices with ...
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Computational advantage of quantum random sampling
Reviews of Modern Physics, 2023Dominik Hangleiter, Jens Eisert
exaly