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Acta Math

Avila, Artur, Viana, Marcelo , TITLE = · 2007 · DOI 10.1007/s11511-007-0012-1

2 Pith papers cite this work. Polarity classification is still indexing.

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math.DS 2

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2026 2

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Uniformly Positive Mean Dimension

math.DS · 2026-07-01 · unverdicted · novelty 7.0

Hub-and-spoke systems from symbolic dynamics can have completely positive mean dimension without uniformly positive mean dimension or entropy, with proofs linking entropy and mean dimension properties at the level of fixed covers.

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  • Uniformly Positive Mean Dimension math.DS · 2026-07-01 · unverdicted · none · ref 21

    Hub-and-spoke systems from symbolic dynamics can have completely positive mean dimension without uniformly positive mean dimension or entropy, with proofs linking entropy and mean dimension properties at the level of fixed covers.

  • Complexity of Billiards in Polygons Associated to Hyperbolic $(p,q)$-Tilings math.DS · 2026-05-13 · unverdicted · none · ref 85

    Explicit growth rates for billiard word complexity in hyperbolic (p,q)-polygons for even q, plus complete grammar rules for realizable paths using minimal tiling paths.