Entropic Repulsion and Lack of the g-Measure Property for Dyson ModelsBissacot, R., Endo, E. O., van Enter, A. C. D. & Le Ny, A., Nov-2018, In : Communications in Mathematical Physics. 363, 3, p. 767-788 22 p.
Research output: Contribution to journal › Article › Academic › peer-review
We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not g-measures. The main ingredient in the proof is the occurrence of an entropic repulsion effect, which follows from the mesoscopic stability of a (single-point) interface for these long-range models in the phase transition region.
|Number of pages||22|
|Journal||Communications in Mathematical Physics|
|Publication status||Published - Nov-2018|
- DIMENSIONAL ISING-MODEL, LONG-RANGE INTERACTIONS, GLOBAL MARKOV PROPERTY, COMPLETE CONNECTIONS, PHASE-TRANSITION, RUELLE OPERATOR, LATTICE MODELS, GENERAL-THEORY, GIBBS MEASURES, POTTS MODELS