Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals

DOI10.1007/s00026-018-0384-2zbMath1429.11120arXiv1605.07953OpenAlexW2962855353MaRDI QIDQ1653311

David Simmons, Lior Fishman, Keith Merrill

Publication date: 3 August 2018

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07953

zbMATH Keywords

Diophantine approximationHausdorff dimensionde Bruijn sequencesiterated function systemsheight functionsEulerian pathsbadly approximable points

Mathematics Subject Classification ID

Metric theory (11J83) Eulerian and Hamiltonian graphs (05C45) Homogeneous approximation to one number (11J04)

Related Items (3)

Diophantine approximation in metric space ⋮ Intrinsic Diophantine approximation for overlapping iterated function systems ⋮ Dyadic approximation in the middle-third Cantor set

Cites Work

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• Intrinsic approximation for fractals defined by rational iterated function systems: Mahler's research suggestion
• The set of badly approximable vectors is strongly C¹ incompressible
• A Course in Enumeration
• Some suggestions for further research

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