Explicit density for singular values of Lévy's area matrix, determinantal point process characterization, and d to infinity asymptotics including absolute Cauchy limit.
Borodin,Determinantal point processes, Chapter 11 in [206], Oxford University Press (2011) [arXiv:0911.1153]
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a list of algebraic, combinatorial, and analytic mechanisms that give rise to determinantal point processes.
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Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.
Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.
citing papers explorer
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The Singular Values of L\'evy's Area Matrix
Explicit density for singular values of Lévy's area matrix, determinantal point process characterization, and d to infinity asymptotics including absolute Cauchy limit.
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A Two-Color Lift of the Shifted $t$-Schur Measure
Introduces a two-color lift of the shifted Schur measure on pairs of partitions and derives its normalization, marginals, transition kernel, and independence of color volumes.