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- W9292223 abstract "Random linear systems over the Galois Field modulo 2 have an interest in connection with problems ranging from computational optimization to complex networks. They are often approached using random matrices with Poisson-distributed or finite column/row-sums. This technical note considers the typical rank of random matrices belonging to a specific ensemble wich has genuinely power-law distributed column-sums. For this ensemble, we find a formula for calculating the typical rank in the limit of large matrices as a function of the power-law exponent and the shape of the matrix, and characterize its behavior through phase diagrams with varying model parameters." @default.
- W9292223 created "2016-06-24" @default.
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- W9292223 date "2010-11-06" @default.
- W9292223 modified "2023-09-27" @default.
- W9292223 title "Typical rank of coin-toss power-law random matrices over GF(2)" @default.
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