Extremality of Disordered Phase of λ-Model on Cayley Trees
Extremality of Disordered Phase of λ-Model on Cayley Trees
In this paper, we consider the λ-model for an arbitrary-order Cayley tree that has a disordered phase. Such a phase corresponds to a splitting Gibbs measure with free boundary conditions. In communication theory, such a measure appears naturally, and its extremality is related to the solvability of the non-reconstruction problem. …