Error bounds in normal approximation for the squared-length of total spin in the mean field classical \(N\)-vector models

DOI10.1214/19-ECP218zbMath1412.60046arXiv1903.02216OpenAlexW2921160135MaRDI QIDQ2631811

Nguyen Ngoc Tu, Le Van Thanh

Publication date: 16 May 2019

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

Full work available at URL: https://arxiv.org/abs/1903.02216

zbMATH Keywords

Stein's methodKolmogorov distanceWasserstein distancemean-field model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Cites Work

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• Asymptotics of the mean-field Heisenberg model
• Asymptotics of mean-field \(\mathrm{O}(N)\) models
• Stein's method for dependent random variables occuring in statistical mechanics
• Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs
• Normal Approximation by Stein’s Method
• Rational Bounds for Ratios of Modified Bessel Functions
• Computation of Modified Bessel Functions and Their Ratios
• Statistical Mechanics of Lattice Systems

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