Extremality of Disordered Phase of λ-Model on Cayley Trees

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6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number18
JournalAlgorithms
Volume15
Issue number1
DOIs
Publication statusPublished - Jan 2022

Keywords

  • Cayley tree
  • Extramality
  • Splitting Gibbs measure

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Numerical Analysis
  • Computational Theory and Mathematics
  • Computational Mathematics

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