REVIEW 1 cited by
Ergodicity of the Martin boundary of the Young--Fibonacci graph. I
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Among central measures on the path space of the Young--Fibonacci lattice the so-called Plancherel measure has a special role. Its ergodicity was proved by Kerov and Gnedin. The goal of this cycle of two articles is to prove that remaining measures from the Martin boundary of this graph (which were described by Kerov and Goodman) are also ergodic. The measures are parametrized with an infinite word of digits 1 and 2 and the parameter $\beta\in(0,1]$ (the case $\beta=0$ corresponds to the Plancherel measure). In this article we prove the statements which correspond to the case $\beta=1$.
Forward citations
Cited by 1 Pith paper
-
Central measures on the r-differential version of the Young--Fibonacci graph
For every r>=2, the Martin boundary of the r-differential Young-Fibonacci graph is described explicitly by boundary words with a parameter beta, plus the Plancherel measure, and all these measures are ergodic.
Discussion (0). Continue with ORCID to comment.