On the scaling limits of determinantal point processes with kernels induced by Sturm-Liouville operators

DOI10.3842/SIGMA.2016.083zbMath1347.15041arXiv1104.0153MaRDI QIDQ308696

Folkmar A. Bornemann

Publication date: 6 September 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0153

zbMATH Keywords

Sturm-Liouville operatorsGaussian unitary ensembleGUEscaling limitsLaguerre unitary ensembledeterminantal point processesclassical random matrix ensemblesJacobi unitary ensembleJUELUEMANOVAmultivariate analysis of variancestrong operator convergence

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (10)

The ASEP and determinantal point processes ⋮ Noninteracting fermions in a trap and random matrix theory ⋮ Confinement of Brownian polymers under geometric area tilts ⋮ The semiclassical limit of a quantum Zeno dynamics ⋮ Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts ⋮ Narain transform for spectral deformations of random matrix models ⋮ Non-interacting fermions in hard-edge potentials ⋮ Dyson Ferrari-Spohn diffusions and ordered walks under area tilts ⋮ Free fermions and the classical compact groups ⋮ A note on the simulation of the Ginibre point process

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