Large deviations and stationary measures for interacting particle systems
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Publication:1313125
DOI10.1016/0304-4149(93)90105-DzbMath0789.60020MaRDI QIDQ1313125
Publication date: 26 January 1994
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
variational principleGirsanov formulaGibbsian descriptionspin flip evolutionsthird level large deviation principle
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)
Related Items (8)
A minimum entropy problem for stationary reversible stochastic spin systems on the infinite lattice ⋮ Detecting nonergodicity in continuous-time spin systems ⋮ Space‐time large deviations for interacting particle systems ⋮ Attractor properties for irreversible and reversible interacting particle systems ⋮ Space-time large deviation lower bounds for spin particle systems ⋮ Entropy production per site in (nonreversible) spin-flip processes. ⋮ Branching random tessellations with interaction: a thermodynamic view ⋮ Large deviations and occupation times for spin particle systems with long range interactions
Cites Work
- Time reversal of infinite-dimensional diffusions
- The strong ergodic theorem for densities: Generalized Shannon-McMillan- Breiman theorem
- Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1^{Z^ d}\)]
- Large deviations for the empirical field of a Gibbs measure
- Central limit theorem for an infinite lattice system of interacting diffusion processes
- Point processes and queues. Martingale dynamics
- A function space large deviation principle for certain stochastic integrals
- From PCA's to equilibrium systems and back
- Statistical mechanics of probabilistic cellular automata.
- Asymptotic evaluation of certain markov process expectations for large time. IV
- Non-linear smoothing of infinite-dimensional diffusion processes
- Large deviation for stationary processes
- Prescribing a System of Random Variables by Conditional Distributions
- Large deviations for Gibbs random fields
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