Periodic Gibbs Measures for the Ising Model with Competing Interactions

Bethe Lattice and the Bethe Approximation

Seiichiro Katsura, M. Takizawa · Progress of Theoretical Physics · 1974 · 144 citations

Natural Sciences, Physics, Condensed Matter Physics +16

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

Bethe Lattice and the Bethe Approximation

Seiichiro Katsura, Makoto Takizawa · Progress of Theoretical Physics · 1974 · 90 citations · Full text

Natural Sciences, Physics, Condensed Matter Physics +16

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

Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous ising model

U. A. Rozikov · Theoretical and Mathematical Physics · 1999 · 37 citations

Natural Sciences, Mathematics, Physics +16