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.
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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.