Eigenvalues of Haar-random matrices over Z_p are asymptotically evenly distributed among algebraic extensions of Q_p by degree, with all but a bounded expected number lying in the maximal unramified extension Q_p^un; analogous results hold for roots of random Haar polynomials over Z_p.
Scale invariance of the
2 Pith papers cite this work. Polarity classification is still indexing.
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Exact sampling algorithm for Pfaffian point processes via skew-symmetric Cholesky factorization, together with a symplectic Arnoldi method for constructing skew-orthogonal polynomial kernels.
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Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials
Eigenvalues of Haar-random matrices over Z_p are asymptotically evenly distributed among algebraic extensions of Q_p by degree, with all but a bounded expected number lying in the maximal unramified extension Q_p^un; analogous results hold for roots of random Haar polynomials over Z_p.
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Sampling Pfaffian point processes and the symplectic Arnoldi method
Exact sampling algorithm for Pfaffian point processes via skew-symmetric Cholesky factorization, together with a symplectic Arnoldi method for constructing skew-orthogonal polynomial kernels.