Poisson-type theorems for the number of special solutions of a random linear inclusion

DOI10.1515/DMA.2010.011zbMath1223.60048MaRDI QIDQ3064479

Vladimir G. Mikhailov, Viktor A. Kopyttsev

Publication date: 22 December 2010

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

zbMATH Keywords

finite fieldrandom matrixdistribution of the number of solutionsrandom linear inclusion

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random operators and equations (aspects of stochastic analysis) (60H25) Random matrices (algebraic aspects) (15B52) Linear equations (linear algebraic aspects) (15A06)

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Cites Work

• Limit theorems for the number of points of a given set covered by a random linear subspace
• Limit theorems for the number of solutions of a system of random linear equations belonging to a given set
• On the number of solutions of a system of random linear equations in a set of vectors of special form

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