Gibbs-non-Gibbs properties for \(n\)-vector lattice and mean-field models
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Publication:985988
DOI10.1214/09-BJPS029zbMath1200.82015arXiv0812.1751OpenAlexW1968854612MaRDI QIDQ985988
Aernout C. D. van Enter, Wioletta M. Ruszel, Christof Külske, Alex Akwasi Opoku
Publication date: 9 August 2010
Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.1751
Gibbs measuresnon-Gibbsian measurescluster expansion, spin-flop transitionsDobrushin uniquenessn-vector lattice modelsn-vector mean-field modelstransformed models
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Cites Work
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- Generalized contour models
- Two connections between random systems and non-Gibbsian measures
- Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models
- The posterior metric and the goodness of gibbsianness for transforms of Gibbs measures
- Gibbs measures and phase transitions
- Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures
- Analogues of non-Gibbsianness in joint measures of disordered mean field models
- Is the fuzzy Potts model Gibbsian?
- Short time conservation of Gibbsianness under local stochastic evolutions
- Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry
- Propagation of Gibbsianness for infinite-dimensional gradient Brownian diffusions
- Loss without recovery of gibbsianness during diffusion of continuous spins
- Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
- Riesz transform on manifolds and heat kernel regularity
- The fuzzy Potts model
- TEMPERATURE OF NONEQUILIBRIUM LATTICE SYSTEMS
- Gibbsian and non‐Gibbsian states at Eurandom
- Course 15 Gibbsianness and non-gibbsianness in lattice random fields
- Introduction to (generalized) Gibbs measures
- Loss and recovery of Gibbsianness for XY models in external fields
- Continuous spin mean-field models: Limiting kernels and Gibbs properties of local transforms
- Robustness of the non-Gibbsian property: some examples