Extremality of Disordered Phase of λ-Model on Cayley Trees

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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
Issue number1
Publication statusPublished - Jan 2022


  • Cayley tree
  • Extramality
  • Splitting Gibbs measure

ASJC Scopus subject areas

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


Dive into the research topics of 'Extremality of Disordered Phase of λ-Model on Cayley Trees'. Together they form a unique fingerprint.

Cite this