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arXiv · 2312.13413

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

Vsevolod Evtushevsky
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Abstract

For fixed $k$, we consider the subgraph $YF_k=(V_k,E_k)$ 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 as follows: each level is identified with $V_k$, and an edge between two vertices $(v_1,i)$ and $(v_{2},i+1)$, $v_1,v_2\in V_k$, of neighbouring levels us drawn iff $v_2$ is a descendant of $v_1$ in $YF_k$. The goal of this paper is to describe all central measures on the path space of $YF_k$.

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Vsevolod Evtushevsky. 2024-11-24. Central measures of the jump graph for Young--Fibonacci graph. https://arxiv.org/abs/2312.13413

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