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math.DS2026
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…
math.DS2025
Classifying Stein's groups
Hiroki Matui
In this paper, we provide a comprehensive classification of Stein's groups, which generalize the well-known Higman-Thompson groups. Stein's groups are defined as groups of piecewis…