A local invariance principle for Gibbsian fields
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Publication:866599
DOI10.1016/j.spl.2006.05.002zbMath1107.60025OpenAlexW1987048873MaRDI QIDQ866599
Emmanuel Thilly, Emmanuel Nowak
Publication date: 14 February 2007
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2006.05.002
Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic processes (60G99) Functional limit theorems; invariance principles (60F17) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Cites Work
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- Gibbs measures and phase transitions
- Invariance principle for martingale-difference random fields
- Martingale-difference Gibbs random fields and central limit theorem
- Absolute Continuity between a Gibbs Measure and Its Translate
- On Gaussian Fields with Given Conditional Distributions
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