Large deviation principles for hypersingular Riesz gases

DOI10.1007/s00365-018-9431-9zbMath1398.82044arXiv1702.02894OpenAlexW2962702156WikidataQ129784518 ScholiaQ129784518MaRDI QIDQ2413523

Thomas Leblé, Sylvia Serfaty, Douglas P. Hardin, Edward B. Saff

Publication date: 14 September 2018

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02894

zbMATH Keywords

large deviation principleGibbs measureminimal energyempirical measuresRiesz gases

Mathematics Subject Classification ID

Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05) Statistical mechanics of liquids (82D15) Discrete potential theory (31C20) Hausdorff and packing measures (28A78)

Related Items (9)

An exact formula for the variance of linear statistics in the one-dimensional jellium model ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ Gap probability and full counting statistics in the one-dimensional one-component plasma ⋮ Large deviation principle for empirical fields of log and Riesz gases ⋮ Lattices with finite renormalized Coulombian interaction energy in the plane ⋮ On the search for tight frames of low coherence ⋮ ASYMPTOTIC LINEAR PROGRAMMING LOWER BOUNDS FOR THE ENERGY OF MINIMIZING RIESZ AND GAUSS CONFIGURATIONS ⋮ Concentration inequality around the thermal equilibrium measure of Coulomb gases ⋮ Harmonically confined long-ranged interacting gas in the presence of a hard wall

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Logarithmic, Coulomb and Riesz energy of point processes
• Large deviations for the two-dimensional two-component plasma
• Thermodynamics and dynamics of systems with long-range interactions
• The crystallization conjecture: a review
• Large deviations techniques and applications.
• Large deviations for the empirical field of a Gibbs measure
• Large deviations and maximum entropy principle for interacting random fields on \(\mathbb{Z}^ d\)
• Distributing many points on a sphere
• Large deviation principle for empirical fields of log and Riesz gases
• A large deviation principle for weighted Riesz interactions
• Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds
• Coulomb gases and Ginzburg-Landau vortices
• Periodic discrete energy for long-range potentials
• Generating Point Configurations via Hypersingular Riesz Energy with an External Field
• Universally optimal distribution of points on spheres
• Thomas-fermi and related theories of atoms and molecules
• The Stability of Matter in Quantum Mechanics
• Optimal discrete measures for Riesz potentials
• An Introduction to the Theory of Point Processes
• The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
• NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS

This page was built for publication: Large deviation principles for hypersingular Riesz gases