Hyperuniformity of the two-dimensional one-component plasma

Gaussian processes (60G15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of plasmas (82D10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Electro- and magnetostatics (78A30)

Cites Work

Determinantal processes and independence
Number variance of random zeros on complex manifolds
The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes
Absence of crystalline ordering in two dimensions
Irregularities of distribution. I
On a problem of Cox concerning point processes in \(R^k\) of `controlled variability'
Systems of points with Coulomb interactions
Hyperuniform states of matter
Local microscopic behavior for 2D Coulomb gases
Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey
Fluctuations of two dimensional Coulomb gases
Local laws and rigidity for Coulomb gases at any temperature
2D Coulomb gases and the renormalized energy
Rigidity and tolerance in point processes: Gaussian zeros and Ginibre eigenvalues
Local density for two-dimensional one-component plasma
Large charge fluctuations in classical Coulomb systems
Large deviations for the Fermion point process associated with the exponential kernel
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem
Translation invariance and continuous symmetries in two-dimensional continuum systems.
Higher-dimensional Coulomb gases and renormalized energy functionals
Exact statistical properties of the zeros of complex random polynomials
Precise Deviations for Disk Counting Statistics of Invariant Determinantal Processes
Statistical Ensembles of Complex, Quaternion, and Real Matrices
Coulomb and Riesz gases: The known and the unknown
Charge fluctuations in the two-dimensional one-component plasma
Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature

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