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On how many Fibonacci words is the Plancherel measure concentrated
Vsevolod Evtushevsky
On the set of words in and with digit sum , we consider the probability distribution , corresponding to the Plancherel measure on paths in the Young…
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…
Martin boundary of the jump graph on subgraphs of the Young--Fibonacci graph
Vsevolod Evtushevsky
For the jump graph on the subgraph of the Young--Fibonacci graph formed by words with at most twos, formulas for the number of paths between vertices are obtained and the Marti…
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…