Coulomb Gases Under Constraint: Some Theoretical and Numerical Results
DOI10.1137/19M1296859zbMath1457.60046arXiv1907.05803MaRDI QIDQ3387581
Gabriel Stoltz, Djalil Chafaï, Grégoire Ferré
Publication date: 13 January 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05803
random matricesconditioninglarge deviationsnumerical simulationconstrained dynamicsGibbs principleCoulomb gases
Random matrices (probabilistic aspects) (60B20) Monte Carlo methods (65C05) Interacting particle systems in time-dependent statistical mechanics (82C22) Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05)
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Cites Work
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- A note on large deviations for 2D Coulomb gas with weakly confining potential
- Remarks on a constrained optimization problem for the Ginibre ensemble
- First-order global asymptotics for confined particles with singular pair repulsion
- Approximate Bayesian computational methods
- A note on the second order universality at the edge of Coulomb gases on the plane
- Sanov property, generalized I-projection and a conditional limit theorem
- A general conditional large deviation principle
- Large deviations techniques and applications.
- Large deviations for Wigner's law and Voiculescu's non-commutative entropy
- Probability theory of classical Euclidean optimization problems
- Systems of points with Coulomb interactions
- Concentration for Coulomb gases and Coulomb transport inequalities
- Large deviation principle for empirical fields of log and Riesz gases
- Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms
- Logarithmic Sobolev inequalities for some nonlinear PDE's.
- An extension of Sanov's theorem: Application to the Gibbs conditioning principle
- Coulomb gases and Ginzburg-Landau vortices
- Poisson statistics for Gibbs measures at high temperature
- Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials
- Hybrid Monte Carlo methods for sampling probability measures on submanifolds
- A large deviation principle for empirical measures on Polish spaces: application to singular Gibbs measures on manifolds
- On large deviations for Gibbs measures, mean energy and gamma-convergence
- Point processes, hole events, and large deviations: random complex zeros and Coulomb gases
- Circular law theorem for random Markov matrices
- Langevin dynamics with constraints and computation of free energy differences
- Entropic Projections and Dominating Points
- Convexity and Optimization in Banach Spaces
- The fixed-trace β-Hermite ensemble of random matrices and the low temperature distribution of the determinant of anN×Nβ-Hermite matrix
- Monte Carlo on Manifolds: Sampling Densities and Integrating Functions
- Products of random matrices from fixed trace and induced Ginibre ensembles
- Gaussian Complex Zeros on the Hole Event: The Emergence of a Forbidden Region
- Ergodic SDEs on submanifolds and related numerical sampling schemes
- On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures
- Geometric ergodicity of Langevin dynamics with Coulomb interactions
- A Dynamical Approach to Random Matrix Theory
- Geometric Numerical Integration
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