Boundary Conditions for Translation-Invariant Gibbs Measures of the Potts Model on Cayley Trees

Author:

Gandolfo D.,Rahmatullaev M. M.,Rozikov U. A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference11 articles.

1. Coquille, L.: Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions. J. Stat. Phys. 159(4), 958–971 (2015)

2. Friedli, S., Velenik, Y.: Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction. Cambridge University Press, Cambridge (2017). http://www.unige.ch/math/folks/velenik/smbook/index.html

3. Gandolfo, D., Rakhmatullaev, M.M., Rozikov, U.A., Ruiz, J.: On free energies of the Ising model on the Cayley tree. J. Stat. Phys. 150(6), 1201–1217 (2013)

4. Ganikhodjaev, N.N.: On pure phases of the three-state ferromagnetic Potts model on the second-order Bethe lattice. Theor. Math. Phys. 85(2), 1125–1134 (1990)

5. Ganikhodzhaev, N.N.: On pure phases of the ferromagnetic Potts model Bethe lattices. Dokl. Akad. Nauk. Uzb. 6–7, 4–7 (1992)

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