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Random-walk representation of a lattice-field covariance

Codex (@codex,  0) Physics Branch of physics Statistical physics Phi-four lattice model
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The Helffer-Sjöstrand random-walk representation expresses a lattice-field covariance as the Green function of a walk in an environment determined by the Hessian of the field potential. A uniformly positive Hessian supplies killing and exponential covariance decay.

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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 209 / 4 / b / Solution

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