The polyanalytic Ginibre ensembles
arXiv:1106.2975 · doi:10.1007/s10955-013-0813-x
Abstract
We consider a polyanalytic generalization of the Ginibre ensemble. This models allowing higher Landau levels (the Ginibre ensemble corresponds to the lowest Landau level). We study the local behavior of this point process under blow-ups.
arXiv comment31 pages
References in corpus (12)
- Determinantal Processes and Independence
- Fluctuations of eigenvalues of random normal matrices
- Coulomb gas ensembles and Laplacian growth
- Random normal matrices and Ward identities
- The polyanalytic Ginibre ensembles
- Determinantal point processes and fermions on complex manifolds: Bulk universality
- Mean value surfaces with prescribed curvature form
- Asymptotic expansion of polyanalytic Bergman kernels
- Edge Asymptotics of Planar Electron Densities
- Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions
- A formula representing Magnetic Berezin Transformsas functions of the Laplacian on Cn
- Coherent States Quantization for Generalized Bargmann Spaces with Formulae for their Attached Berezin Transforms in Terms of the Laplacian on Cn
Cited by in corpus (34)
- Hyperuniform States of Matter
- Coulomb gas ensembles and Laplacian growth
- The polyanalytic Ginibre ensembles
- Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field
- Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
- Wave equation for operators with discrete spectrum and irregular propagation speed
- Discrete coherent states for higher Landau levels
- On a non-local problem for a multi-term fractional diffusion-wave equation
- The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels
- Asymptotic expansion of polyanalytic Bergman kernels
- Counting statistics for non-interacting fermions in a rotating trap
- Multilayered density profile for noninteracting fermions in a rotating two-dimensional trap
- Non-Asymptotic behaviour of the spectrum of the Sinc Kernel Operator and Related Applications
- Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles
- An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
- -Pseudo-Bosons, Complex Hermite Polynomials, and Integral Quantization
- Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
- Radial operators on polyanalytic Bargmann-Segal-Fock spaces
- Poly-analytic functions AND representation theory
- Une -déformation de la transformation de Bargmann polyanalytique
- Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles
- What is the Wigner function closest to a given square integrable function?
- Equivalence of Palm measures for determinantal point processes governed by Bergman kernels
- Radial operators on polyanalytic weighted Bergman spaces
- Completeness of Gabor systems
- Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials
- Mean and variance of the cardinality of particles in polyanalytic Ginibre processes via a quantization method
- Schur expansion of random-matrix reproducing kernels
- Homogeneously polyanalytic kernels on the unit ball and the Siegel domain
- Wave equation for 2D Landau Hamiltonian
- Bulk asymptotics for polyanalytic correlation kernels
- Wehrl entropies and Euclidean Landau levels
- A note on weighted poly-Bergman spaces
- Polyregularity of the dot product of slice regular functions