Infinite-dimensional diffusion processes as Gibbs measures on \(C[0,1]^{Z^ d}\)
From MaRDI portal
Publication:1087253
DOI10.1007/BF01297489zbMath0611.60096MaRDI QIDQ1087253
Publication date: 1987
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Gibbs distributioninteracting diffusion processescontinuous local conditional probabilitiesDobrushin's contraction technique
Related Items
Existence and a priori estimates for Euclidean Gibbs states, Large deviations in the quantum quasi-1D jellium, A Gibson approach to infinite-dimensional Brownian diffusions, Stochastic dynamics for an infinite system of random closed strings: A Gibbsian point of view, Interacting stochastic processes on sparse random graphs, Stochastic differential equations on product loop manifolds., Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models, Locally interacting diffusions as Markov random fields on path space, Propagation of Gibbsianness for infinite-dimensional gradient Brownian diffusions, Interacting Brownian particles and Gibbs fields on pathspaces, Loss without recovery of gibbsianness during diffusion of continuous spins, GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS, Loss and recovery of Gibbsianness for XY models in external fields, Continuous spin mean-field models: Limiting kernels and Gibbs properties of local transforms, Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models, Differentiable measures and the Malliavin calculus, Large deviations and stationary measures for interacting particle systems
Cites Work
- Unnamed Item
- Unnamed Item
- Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
- Time reversal of infinite-dimensional diffusions
- A remark on Dobrushin's uniqueness theorem
- Decay of correlations in classical lattice models at high temperature
- Infinite dimensional stochastic differential equations and their applications
- Diffusions conditionnelles. II. Générateur conditionel. Application au filtrage
- A covariance estimate for Gibbs measures
- Distribution-valued processes arising from independent Brownian motions
- Decay of correlations under Dobrushin's uniqueness condition and its applications
- On the central limit theorem for stationary mixing random fields
- Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
- Non-linear smoothing of infinite-dimensional diffusion processes
- Thermodynamics and statistical analysis of Gaussian random fields
- Stationary measures of stochastic gradient systems, infinite lattice models
- Martingales: Recent Developments, Results and Applications
- Canonical and microcanonical Gibbs states
- Prescribing a System of Random Variables by Conditional Distributions
