Stein's method and a cubic mean-field model
DOI10.1007/S10955-024-03373-XMaRDI QIDQ6660992
Publication date: 10 January 2025
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Stein's methodconcentration inequalitymean-field modelCurie-Weiss modelexchangeable pairsCramér-type moderate deviationsmoderate deviations principlecubic Curie-Weiss modelcubic mean-field Ising modeluniform and non-uniform Berry-Esseen bound
Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
- Applications of Stein's method for concentration inequalities
- Stein's method for dependent random variables occuring in statistical mechanics
- Limit theorems for the empirical vector of the Curie-Weiss-Potts model
- On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
- Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs
- Normal approximation under local dependence.
- From Stein identities to moderate deviations
- Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs
- Fluctuations of the magnetization in the \(p\)-spin Curie-Weiss model
- Cramér-type moderate deviation theorems for nonnormal approximation
- Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach
- Rates of convergence in the Blume-Emery-Griffiths model
- On rates of convergence in the Curie-Weiss-Potts model with an external field
- Stein's method for concentration inequalities
- Aggregation models on hypergraphs
- Normal Approximation by Stein’s Method
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- The study of a three-body interaction Hamiltonian on a lattice
- Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
- Limit theorems for the cubic mean-field Ising model
Related Items (1)
This page was built for publication: Stein's method and a cubic mean-field model
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6660992)
