Vsevolod Evtushevsky

collaborators

3 papers

math.CO2025

Undecidability of the elementary theory of Young--Fibonacci lattice

Vsevolod Evtushevsky

For a poset $(P, ⩽)$ we consider the first-order theory, that is defined by set $P$ and relation $⩽$ . The problem of undecidability of combinatorial theories attract…

math.FA2024

Central measures on the r-differential version of the Young--Fibonacci graph

Vsevolod Evtushevsky

We describe Martin boundary of the path space of $r$ -differential version of Young--Fibonacci graph. Also we establish ergodicity of the corresponding measures.

math.CO2024

Central measures of the jump graph for Young--Fibonacci graph

Vsevolod Evtushevsky

For fixed $k$ , we consider the subgraph $Y F_{k} = (V_{k}, E_{k})$ of the famous Young--Fibonacci graph formed by the words with at most $k$ 2-s. The jump graph is a graded graph is defined…