Some limit theorems for random fields

DOI10.1007/BF01940772zbMath0393.60019MaRDI QIDQ1252556

Carla C. Neaderhouser

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Law of the Iterated LogarithmMixing ConditionGibBs Random FieldsLimit TheoremsStatistical Mechanics ModelsStrong-Mixing

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Strong limit theorems (60F15) Classical equilibrium statistical mechanics (general) (82B05)

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Cites Work

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• Mixing properties in lattice systems
• Limit theorems for multiply indexed mixing random variables, with application to Gibbs random fields
• The central limit theorem and the problem of equivalence of ensembles
• A note on empirical processes of strong-mixing sequences
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• Some Limit Theorems for Random Functions. I
• Almost sure invariance principles for partial sums of weakly dependent random variables
• The Law of the Iterated Logarithm for Some Classes of Stationary Processes
• The central limit problem for mixing sequences of random variables
• The Remainder in the Central Limit Theorem for Mixing Stochastic Processes