Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension

2000/12/01 by Luís Barreira, Luis Barreira, Jörg Schmeling · 367 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Chaos control and synchronization #Chaotic #Conformal map #Dimension (graph theory) #Dimension theory (algebra) #Discrete mathematics #Dynamical systems theory #Effective dimension #Fractal #Geometry #Hausdorff dimension #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical proof #Mathematics #Multifractal system #Pointwise #Pure mathematics #Subshift of finite type #Symbolic dynamics #Topological entropy

paper · doi:10.1007/bf02773211

published in Israel Journal of Mathematics 116(1), 29-70 (Hebrew University of Jerusalem)

openalex publication_date 2000/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Citations

• Topological entropy for noncompact sets

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