Large deviation principle for spatial density of local observables from Gibbs distributions

DOI10.1016/S0034-4877(02)80067-2zbMath1036.82002MaRDI QIDQ1429206

Tomasz Schreiber

Publication date: 18 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

relative entropyvariational principleGibbs lattice systems

Mathematics Subject Classification ID

Point estimation (62F10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items

Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs

Cites Work

• Large deviations for the empirical field of a Gibbs measure
• Gibbs measures and phase transitions
• Large deviations and maximum entropy principle for interacting random fields on \(\mathbb{Z}^ d\)
• A function space large deviation principle for certain stochastic integrals
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Rigorous probabilistic analysis of equilibrium crystal shapes
• Large deviations for Gibbs random fields
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