Large deviations for lattice systems. I: Parametrized independent fields

DOI10.1007/BF01192135zbMath0792.60025OpenAlexW175198562MaRDI QIDQ1326358

Timo Seppäläinen

Publication date: 6 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf01192135

zbMATH Keywords

empirical measureslarge deviation theoremsshift groupentropy functions

Mathematics Subject Classification ID

Random fields (60G60) Large deviations (60F10)

Related Items (8)

Large deviations for lattice systems. II: Nonstationary independent fields ⋮ Entropy, limit theorems, and variational principles for disordered lattice systems ⋮ Variational principle for weakly dependent random fields ⋮ Process-level quenched large deviations for random walk in random environment ⋮ Variational formulas and cocycle solutions for directed polymer and percolation models ⋮ Large deviations of the trajectory of empirical distributions of Feller processes on locally compact spaces ⋮ Maximum entropy principles for disordered spins ⋮ Entropy for translation-invariant random-cluster measures

Cites Work

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• Ergodic theorems. With a supplement by Antoine Brunel
• Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures
• Large deviations for the empirical field of a Gibbs measure
• Pressure and variational principle for random Ising model
• Large deviations for nonstationary arrays and sequences
• Large deviations for lattice systems. II: Nonstationary independent fields
• THE INITIAL AND FINAL BEHAVIOUR OF TRAJECTORIES OF MARKOV PROCESSES
• Ergodic sets

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