Elementary divisors and determinants of random matrices over a local field.

DOI10.1016/S0304-4149(02)00187-4zbMath1075.15500OpenAlexW1970445133MaRDI QIDQ2574520

Steven N. Evans

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00187-4

zbMATH Keywords

partitionGaussian eliminationdeterminantrandom matrix\(q\)-binomial coefficientlocal fieldelementary divisor\(p\)-adic\(p\)-series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Random matrices (algebraic aspects) (15B52) Probability theory on algebraic and topological structures (60B99) Non-Archimedean valued fields (12J25)

Related Items (12)

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Generalizations of results of Friedman and Washington on cokernels of random \(p\)-adic matrices ⋮ Tropical Gaussians: a brief survey ⋮ On the distribution of equivalence classes of random symmetric p‐adic matrices ⋮ Probabilistic enumerative geometry over \(p\)-adic numbers: linear spaces on complete intersections ⋮ The Gaussian entropy map in valued fields ⋮ Natural density distribution of Hermite normal forms of integer matrices ⋮ Limits and fluctuations of \(p\)-adic random matrix products ⋮ The Cohen-Lenstra heuristic: methodology and results ⋮ Non-Archimedean Coulomb gases ⋮ Rotatable random sequences in local fields ⋮ Random matrices over a DVR and LU factorization

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