Local limits in \(p\)-adic random matrix theory

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Linear operator methods in interpolation, moment and extension problems (47A57) Random matrices (algebraic aspects) (15B52) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Cites Work

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On a Cohen-Lenstra heuristic for Jacobians of random graphs
Level-spacing distributions and the Airy kernel
Hall-Littlewood RSK field
Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes
KPZ and Airy limits of Hall-Littlewood random plane partitions
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Products of Random Matrices
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Hall–Littlewood Polynomials, Boundaries, and p-Adic Random Matrices
Universality for cokernels of random matrix products

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