Large deviations for Gibbs random fields
From MaRDI portal
Publication:5903395
DOI10.1007/BF00319293zbMath0621.60031MaRDI QIDQ5903395
Publication date: 1988
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)
Related Items
Large deviations for lattice systems. II: Nonstationary independent fields, Erdős-Rényi laws for Gibbs measures, Spatio-temporal large deviations principle for coupled circle maps., Large deviations for fields with stationary independent increments, Phase transitions for \(\phi^4_3\), Complete analyticity for 2D Ising completed, Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions, Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures, Large deviations for quantum spin systems, Entropy, limit theorems, and variational principles for disordered lattice systems, Large deviations for \(\mathbb{Z}^ d\)-actions, Surface order large deviations for Ising, Potts and percolation models, Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points, An overview of the theory of large deviations and applications to statistical mechanics, Entropy of open lattice systems, Local microscopic behavior for 2D Coulomb gases, Hydrodynamic limit for a system with finite range interactions, On the asymptotics of occurrence times of rare events for stochastic spin systems., Large deviation principle for spatial density of local observables from Gibbs distributions, Large deviations for the empirical field of curie-weiss models∗, Interactions and pressure functionals for disordered lattice systems, RUELLE–LANFORD FUNCTIONS AND LARGE DEVIATIONS FOR ASYMPTOTICALLY DECOUPLED QUANTUM SYSTEMS, Large deviations for ideal quantum systems, On the definition of entropy production, via examples, Shannon-McMillan theorems for discrete random fields along curves and lower bounds for surface-order large deviations, A limit theorem for one-dimensional Gibbs measures under conditions on the empirical field, Exponential rates of convergence in the ergodic theorem: a constructive approach, Dynamical large deviations for the boundary driven weakly asymmetric exclusion process, A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA, Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory, Relative entropy and hydrodynamics of Ginzburg-Landau models, The theory of large deviations: from Boltzmann's 1877 calculation to equilibrium macrostates in 2D turbulence, Large deviations in discrete-time renewal theory, Spatializing random measures: doubly indexed processes and the large deviation principle, Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces, Process level moderate deviations for stabilizing functionals, Projections of Gibbs measures may be non-Gibbsian, Large deviation for stationary processes, Large deviation principles for countable Markov shifts, Unnamed Item, Large deviations in quantum lattice systems: one-phase region, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, Large deviations in the Langevin dynamics of a random field Ising model., Entropy for translation-invariant random-cluster measures, Hydrodynamical limit for a Hamiltonian system with weak noise, Large deviations and stationary measures for interacting particle systems, Microcanonical distributions for lattice gases, Large deviations in renewal models of statistical mechanics
Cites Work
- The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
- Large deviations for stationary Gaussian processes
- Large deviations for the empirical field of a Gibbs measure
- Large deviations for almost Markovian processes
- Large deviations and stochastic homogenization
- Asymptotic evaluation of certain markov process expectations for large time, I
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- Asymptotic probabilities and differential equations
- On entropy and information gain in random fields
- An introduction to the theory of large deviations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
