Extremality of Disordered Phase of λ-Model on Cayley Trees
Keyword(s):
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.
1978 ◽
Vol 118
(1)
◽
pp. 131-142
Keyword(s):
2011 ◽
Vol 43
(1-2)
◽
pp. 265-309
◽
1998 ◽
Vol 29
(1)
◽
pp. 155-182
◽
2015 ◽
Vol 67
(9)
◽
pp. 1517-1523
◽
Keyword(s):
2014 ◽
Vol 564
◽
pp. 176-181
Keyword(s):
1967 ◽
Vol 9
(9)
◽
pp. 661-671
◽
Keyword(s):
1968 ◽
Vol 58
(2)
◽
pp. 497-520