Periodic ground states of a Hamiltonian on a Cayley tree

DOI10.1134/S0001434610030363zbMath1196.82085OpenAlexW2032542922MaRDI QIDQ1957091

Golibjon Isroilovich Botirov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610030363

zbMATH Keywords

Hamiltonianground stateCayley treeGibbs measurefree product of cyclic groupsgeneralized Kronecker deltaRozikov model

Mathematics Subject Classification ID

Trees (05C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Cites Work

• Unnamed Item
• A contour method on Cayley trees
• A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree

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