Extremality of Disordered Phase of λ-Model on Cayley Trees
Farrukh MukhamedovDepartment of Algebra and Analysis, Institute of Mathematics Named after V.I.Romanovski, 4, University Str., Tashkent 100125, Uzbekistan
2022en
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Litsenziya: cc-by
ABI
Annotatsiya
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. In general, the disordered phase is not extreme; hence, it is natural to find a condition for their extremality. In the present paper, we present certain conditions for the extremality of the disordered phase of the λ-model.
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