Intrinsic approximation on Cantor-like sets, a problem of Mahler

zbMath1296.11096arXiv1106.0526MaRDI QIDQ446298

Asaf Reich, Lior Fishman, Ryan Broderick

Publication date: 5 September 2012

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0526

zbMATH Keywords

Cantor setsDirichlet's approximation theoremintrinsic approximation

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (13)

The distribution of rational numbers on Cantor's middle thirds set ⋮ Metric Diophantine approximation on the middle-third Cantor set ⋮ Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ Diophantine approximation in metric space ⋮ Intrinsic Diophantine approximation for overlapping iterated function systems ⋮ Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory ⋮ APPROXIMATING NUMBERS OF THE CANTOR SET BY ALGEBRAIC NUMBERS ⋮ On intrinsic and extrinsic rational approximation to Cantor sets ⋮ A Mahler miscellany ⋮ Certain singular distributions and fractals ⋮ Dyadic approximation in the middle-third Cantor set ⋮ Intrinsic approximation for fractals defined by rational iterated function systems: Mahler's research suggestion

This page was built for publication: Intrinsic approximation on Cantor-like sets, a problem of Mahler