102 citations · 102 across the 4 of their papers we have counts for
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Maximal subgroups of topological full groups of shifts of finite type
Hiroki Matui
We study maximal subgroups of topological full groups of irreducible one-sided shifts of finite type whose associated groupoids have Cantor unit space. For each wide open subgroupo…
Entropy/Length Profile Bounds for the Conversion of (Non)linear Codes in the Merge Regime
Songping Ge, Han Cai, Xiaohu Tang
Code conversion changes the parameters of encoded data while avoiding complete decoding and re-encoding. Existing general bounds largely rely on the algebraic structure of linear c…
Maximal subgroups of topological full groups arising from factor maps and subgroupoids
Hiroki Matui
We construct maximal subgroups of topological full groups and their commutator subgroups using factor maps and wide open subgroupoids of minimal effective ample groupoids with Cant…
Topological entropy in continuous orbit equivalence of one-sided topological Markov shifts
Kengo Matsumoto, Hiroki Matui
In this paper, we prove that the continuous orbit equivalence class of a one-sided topological Markov shift contains a one-sided topological Markov shift whose topological entropy…