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Eskin, Alex, Mirzakhani, Maryam, Mohammadi, Amir , TITLE = · 2015 · DOI 10.4007/annals.2015.182.2.7

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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 209

    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.

  • Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture math.DS · 2026-06-25 · unverdicted · none · ref 21

    New logarithm laws and lattice point bounds yield a proof of power loss in the Mizohata-Takeuchi conjecture with explicit errors and establish genericity in C^k.