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4 papers
Central measures on the r-differential version of the Young--Fibonacci graph
Vsevolod Evtushevsky
We describe Martin boundary of the path space of -differential version of Young--Fibonacci graph. Also we establish ergodicity of the corresponding measures.
Undecidability of the elementary theory of Young--Fibonacci lattice
Vsevolod Evtushevsky
For a poset we consider the first-order theory, that is defined by set and relation . The problem of undecidability of combinatorial theories attract…
Ergodicity of the Martin boundary of the Young--Fibonacci graph. II
Vsevolod Evtushevsky
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 goa…
Ergodicity of the Martin boundary of the Young--Fibonacci graph. I
Ivan Bochkov, Vsevolod Evtushevsky
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 goa…