The planar low temperature Coulomb gas: separation and equidistribution

DOI10.4171/rmi/1340arXiv2010.10179OpenAlexW3094003380MaRDI QIDQ6100300

Yacin Ameur, José Luis Romero

Publication date: 12 May 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10179

zbMATH Keywords

equidistributionfreezingseparationexternal potentiallow temperatureFekete configurationplanar Coulomb gas

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Discrete potential theory (31C20) Sampling theory in information and communication theory (94A20)

Related Items (2)

Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials ⋮ Marcinkiewicz-Zygmund inequalities for polynomials in Fock space

Cites Work

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• Revisiting Landau's density theorems for Paley-Wiener spaces
• Orthogonal polynomials in the normal matrix model with a cubic potential
• Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates
• Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction
• Regularity of a boundary having a Schwarz function
• Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials
• Interpolating and sampling sequences for entire functions
• Density of Gabor systems via the short time Fourier transform
• On bulk singularities in the random normal matrix model
• Energy of the Coulomb gas on the sphere at low temperature
• Local incompressibility estimates for the Laughlin phase
• Repulsion in low temperature \({\beta}\)-ensembles
• Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane
• Incompleteness of sparse coherent states
• On fluctuations of eigenvalues of random Hermitian matrices.
• Scaling limits of random normal matrix processes at singular boundary points
• A localization theorem for the planar Coulomb gas in an external field
• Planar orthogonal polynomials and boundary universality in the random normal matrix model
• Entanglement entropy and Berezin-Toeplitz operators
• Local laws and rigidity for Coulomb gases at any temperature
• Off-spectral analysis of Bergman kernels
• Rescaling Ward identities in the random normal matrix model
• Necessary density conditions for sampling an interpolation of certain entire functions
• Density of eigenvalues of random normal matrices
• The random normal matrix model: insertion of a point charge
• LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT
• Determinantal random point fields
• On accumulated spectrograms
• Topology of quadrature domains
• Random matrices and Laplacian growth
• Equidistribution and $\beta$ ensembles
• A Density Theorem for Weighted Fekete Sets
• Coulomb gas ensembles and Laplacian growth
• Precise Deviations for Disk Counting Statistics of Invariant Determinantal Processes
• Renormalized Energy Equidistribution and Local Charge Balance in 2D Coulomb Systems
• Generic critical points of normal matrix ensembles
• The boundary density profile of a Coulomb droplet. Freezing at the edge

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