Random matrices with independent ε-balanced entries in a log(n)^{1+δ} band—and arbitrary entries outside—have cokernels approaching the Cohen–Lenstra distribution; up to αn per column and βn per row bad entries are also tolerated.
Random p -adic matrices with fixed zero entries and the
4 Pith papers cite this work. Polarity classification is still indexing.
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Explicit distribution for persistence diagrams of row spans in random lower triangular matrices over finite fields, plus LLN for lifetimes and Betti fluctuations.
For stair-shaped support patterns, Cohen-Lenstra convergence of cokernels of random p-adic matrices is equivalent to asymptotic nonsingularity of their mod-p reductions.
Cokernels of random p-adic matrices with inhomogeneously balanced columns converge in distribution to the Haar-random case under the condition that the sum of exp(-ε α_n(i) n) tends to zero.
citing papers explorer
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Universality for cokernels of partially random integral matrices
Random matrices with independent ε-balanced entries in a log(n)^{1+δ} band—and arbitrary entries outside—have cokernels approaching the Cohen–Lenstra distribution; up to αn per column and βn per row bad entries are also tolerated.
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Persistence diagrams of random triangular matrices over finite fields
Explicit distribution for persistence diagrams of row spans in random lower triangular matrices over finite fields, plus LLN for lifetimes and Betti fluctuations.
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A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns
For stair-shaped support patterns, Cohen-Lenstra convergence of cokernels of random p-adic matrices is equivalent to asymptotic nonsingularity of their mod-p reductions.
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Universality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columns
Cokernels of random p-adic matrices with inhomogeneously balanced columns converge in distribution to the Haar-random case under the condition that the sum of exp(-ε α_n(i) n) tends to zero.