Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \)

DOI10.1007/s00220-021-04181-0zbMath1489.82008arXiv1810.10124OpenAlexW3199439366MaRDI QIDQ2231654

Martin Tassy, Ron Peled, Nishant Chandgotia, Scott Sheffield

Publication date: 30 September 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.10124

zbMATH Keywords

graph homomorphismsGibbs measures

Mathematics Subject Classification ID

Combinatorial probability (60C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Convergence of probability measures (60B10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (11)

Spins, percolation and height functions ⋮ Proper -colorings of are Bernoulli ⋮ Weakly nonplanar dimers ⋮ The Blume-Emery-Griffiths model on the FAD point and on the AD line ⋮ On the transition between the disordered and antiferroelectric phases of the 6-vertex model ⋮ Nonexistence and uniqueness for pure states of ferroelectric six‐vertex models ⋮ Delocalisation and absolute-value-FKG in the solid-on-solid model ⋮ Statistical reconstruction of the GFF and KT transition ⋮ An elementary proof of phase transition in the planar XY model ⋮ The generating function of planar Eulerian orientations ⋮ Height function delocalisation on cubic planar graphs

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