Critical fluctuations of sums of weakly dependent random vectors

DOI10.1007/BF01192515zbMath0792.60026MaRDI QIDQ1326280

Kongming Wang

Publication date: 14 July 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

empirical measureGaussian probability measurecentral limit type theoremcritical mean field Heisenberg model

Mathematics Subject Classification ID

Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Analytic description of statistics of spectra of quantum graphs

Cites Work

• Unnamed Item
• Large deviations and the internal fluctuations of critical mean field systems
• Limit theorems for the empirical vector of the Curie-Weiss-Potts model
• Asymptotic dynamics, non-critical and critical fluctuations for a geometric long-range interacting model
• The law of large numbers and the central limit theorem in Banach spaces
• On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Laplace approximations for sums of independent random vectors

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