Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional \(\mathbb{Z}\)-valued fields with long-range interactions
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Publication:6595734
DOI10.1007/S10955-024-03294-9MaRDI QIDQ6595734
Wioletta Ruszel, Arnaud Le Ny, Loren Coquille, A. C. D. van Enter
Publication date: 30 August 2024
Published in: Journal of Statistical Physics (Search for Journal in Brave)
relative entropydelocalisationergodic Gibbs statesdiscrete Gaussian chainshift-invariant Gibbs states
Equilibrium statistical mechanics (82Bxx) Special processes (60Kxx) Miscellaneous applications of functional analysis (46Nxx)
Cites Work
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- Localization and delocalization of random interfaces
- Absence of crystalline ordering in two dimensions
- Gibbs measures and phase transitions
- On uniqueness of KmMS states of one-dimensional quantum lattice systems
- Absence of Dobrushin states for \(2d\) long-range Ising models
- Height function delocalisation on cubic planar graphs
- Delocalisation and absolute-value-FKG in the solid-on-solid model
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