Random fields on lattices
Spin and bond configuration spaces, Bernoulli product measures and cylinder events, Gibbs-type conditional distributions given the outside of a region, translation invariance and ergodicity, weak and monotone limits of measures on configuration space, and marginals and conditional independence for weights on finite configuration spaces.
- Boundary conditions for bond configurations
- Conditional independence on finite configuration spaces
- Spin and bond configuration spaces
- Bernoulli product measures and cylinder events
- Gibbs conditional distributions
- Translation invariance and ergodicity of random fields
- Weak and monotone limits on configuration space
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