Ground states and hyperuniformity of the hierarchical Coulomb gas in all dimensions
From MaRDI portal
Publication:783788
DOI10.1007/s00440-019-00955-9zbMath1457.60142arXiv1904.05321OpenAlexW2989904863MaRDI QIDQ783788
Publication date: 4 August 2020
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05321
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Classical equilibrium statistical mechanics (general) (82B05)
Related Items
On spatial conditioning of the spectrum of discrete random Schrödinger operators, Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature, Local laws and rigidity for Coulomb gases at any temperature, Optimal local law and central limit theorem for \(\beta\)-ensembles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Insertion and deletion tolerance of point processes
- Local circular law for random matrices
- The local circular law. II: The edge case
- A note on large deviations for 2D Coulomb gas with weakly confining potential
- Edge universality of beta ensembles
- First-order global asymptotics for confined particles with singular pair repulsion
- Number rigidity in superhomogeneous random point fields
- Rigidity of eigenvalues of generalized Wigner matrices
- Palm measures and rigidity phenomena in point processes
- Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations
- A proof of crystallization in two dimensions
- Determinantal processes and completeness of random exponentials: the critical case
- The Ginibre ensemble of real random matrices and its scaling limits
- The dipole phase in the two-dimensional hierarchical Coulomb gas: Analyticity and correlations decay
- Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas
- Systems of points with Coulomb interactions
- Gaussian and non-Gaussian fluctuations for mesoscopic linear statistics in determinantal processes
- Concentration for Coulomb gases and Coulomb transport inequalities
- Large deviation principle for empirical fields of log and Riesz gases
- Energy of the Coulomb gas on the sphere at low temperature
- Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey
- Fluctuations of two dimensional Coulomb gases
- On fluctuations of eigenvalues of random Hermitian matrices.
- Ginzburg-Landau vortices, Coulomb gases, and renormalized energies
- Monte Carlo with determinantal point processes
- Optimality of the triangular lattice for a particle system with Wasserstein interaction
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Rigidity and tolerance in point processes: Gaussian zeros and Ginibre eigenvalues
- Local density for two-dimensional one-component plasma
- Universality of general \(\beta\)-ensembles
- Large charge fluctuations in classical Coulomb systems
- Concentration for Coulomb gases on compact manifolds
- Linear functionals of eigenvalues of random matrices
- Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals
- Large Deviations for Zeros of Random Polynomials with i.i.d. Exponential Coefficients
- RANDOM MATRICES: SHARP CONCENTRATION OF EIGENVALUES
- Bulk universality of general β-ensembles with non-convex potential
- Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited
- Limiting laws of linear eigenvalue statistics for Hermitian matrix models
- The Kosterlitz-Thouless phase in a hierarchical model
- An Introduction to Random Matrices
- Large deviations from the circular law
- The Dynamics of a Disordered Linear Chain
- Renormalization group flow of the two-dimensional hierarchical Coulomb gas