Gibbs-non-Gibbs properties for evolving Ising models on trees
From MaRDI portal
Publication:441248
DOI10.1214/11-AIHP421zbMath1255.82037arXiv1009.2952OpenAlexW2100961808MaRDI QIDQ441248
Christof Külske, Giulio Iacobelli, Aernout C. D. van Enter, Victor N. Ermolaev
Publication date: 20 August 2012
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2952
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
Decimations for two-dimensional Ising and rotator models, Stable and metastable phases for the Curie-Weiss-Potts model in vector-valued fields via singularity theory, Decimation of the Dyson-Ising ferromagnet, Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields, Dynamical Gibbs-non-Gibbs transitions in Widom-Rowlinson models on trees, Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees, The Widom -- Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality, Non-robust phase transitions in the generalized clock model on trees, Gibbs-Non Gibbs Transitions in Different Geometries: The Widom-Rowlinson Model Under Stochastic Spin-Flip Dynamics, Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime \(\beta<3\), Dynamical Gibbs-non-Gibbs transitions in lattice Widom-Rowlinson models with hard-core and soft-core interactions, Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-temperature dynamics of the Curie-Weiss model: Periodic orbits, multiple histories, and loss of Gibbsianness
- Short-time Gibbsianness for infinite-dimensional diffusions with space-time interaction
- Gibbs-non-Gibbs properties for \(n\)-vector lattice and mean-field models
- 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
- On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
- Almost sure quasilocality fails for the random-cluster model on a tree.
- Robust phase transitions for Heisenberg and other models on general trees
- Short time conservation of Gibbsianness under local stochastic evolutions
- On the extremality of the disordered state for the Ising model on the Bethe lattice
- 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
- Course 15 Gibbsianness and non-gibbsianness in lattice random fields
- Loss and recovery of Gibbsianness for XY models in external fields
- Fractal failure of quasilocality for a majority rule transformation on a tree