Gibbs-non-Gibbs properties for n-vector lattice and mean-field models

Abstract

We review some recent developments in the study of Gibbs and non-Gibbs properties of transformed n-vector lattice and mean-field models under various transformations. Also, some new results for the loss and recovery of the Gibbs property of planar rotor models during stochastic time evolution are presented.

arXiv comment31 pages, 6 figures

References in corpus (5)

• Regularity Properties and Pathologies of Position-Space Renormalization-Group Transformations
• Continuous Spin Mean-Field models: Limiting kernels and Gibbs Properties of local transforms
• Two connections between random systems and non-Gibbsian measures
• Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models
• Gibbsian and non-Gibbsian states at Eurandom

Cited by in corpus (1)

• Hamiltonian and Lagrangian for the trajectory of the empirical distribution and the empirical measure of Markov processes