Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials

DOI10.1214/20-EJP449zbMath1445.60026arXiv1511.06928MaRDI QIDQ2184609

Paul Dupuis, Kavita Ramanan, Vaios Laschos

Publication date: 29 May 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06928

zbMATH Keywords

random matricesasymptotic thin shell condition

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)

Related Items (11)

Edge fluctuations for random normal matrix ensembles ⋮ Large deviations in the quantum quasi-1D jellium ⋮ Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials ⋮ Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls ⋮ Macroscopic and edge behavior of a planar jellium ⋮ Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry ⋮ Coulomb Gases Under Constraint: Some Theoretical and Numerical Results ⋮ An asymptotic thin shell condition and large deviations for random multidimensional projections ⋮ Quantitative approximate independence for continuous mean field Gibbs measures ⋮ Asymptotics of the inertia moments and the variance conjecture in Schatten balls

Cites Work

• A note on large deviations for 2D Coulomb gas with weakly confining potential
• First-order global asymptotics for confined particles with singular pair repulsion
• Large deviations for random projections of \(\ell^{p}\) balls
• Stochastic methods. A handbook for the natural and social sciences
• Large deviations for Wigner's law and Voiculescu's non-commutative entropy
• Coulomb gases and Ginzburg-Landau vortices
• Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials
• Sanov's theorem in the Wasserstein distance: a necessary and sufficient condition
• 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
• Cramér’s Theorem is Atypical
• Large deviations from the circular law
• The central limit problem for convex bodies
• Real Analysis and Probability
• Analysis and Approximation of Rare Events
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