Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree

On Pure Phases of the Ising Model on the Bethe Lattices

P. M. Blekher, N. N. Ganikhodgaev · Theory of Probability and Its Applications · 1991 · 140 citations

Natural Sciences, Mathematics, Physics +15

Description of periodic extreme gibbs measures of some lattice models on the Cayley tree

U. A. Rozikov · Theoretical and Mathematical Physics · 1997 · 126 citations

Natural Sciences, Mathematics, Physics +13

Partition structures of the cayley tree and applications for describing periodic gibbs distributions

U. A. Rozikov · Theoretical and Mathematical Physics · 1997 · 66 citations

Natural Sciences, Mathematics, Stochastic Processes +14

Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

U. A. Rozikov, M. M. Rakhmatullaev · Theoretical and Mathematical Physics · 2009 · 53 citations

Natural Sciences, Mathematics, Physics +17

Description of weakly periodic Gibbs measures for the isingmodel on a cayley tree

U. A. Rozikov, M. M. Rakhmatullaev · Theoretical and Mathematical Physics · 2008 · 49 citations

Natural Sciences, Mathematics, Condensed Matter Physics +13