Multiplicatively badly approximable numbers and generalised Cantor sets.
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Fractal Geometry: Mathematical Foundations and Applications.

K. J. Falconer · Biometrics · 1990 · 6K citations

Natural Sciences, Mathematics, Physics +16

Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

A. S. Besicovitch · Journal of the London Mathematical Society · 1934 · 204 citations

Natural Sciences, Mathematics, Algebra +12

Invariant measures and the set of exceptions to Littlewood’s conjecture

Manfred Einsiedler, Anatole Katok, Elon Lindenstrauss · Annals of Mathematics · 2006 · 184 citations · Full text

Natural Sciences, Mathematics, Probability Theory +11

Metric Simultaneous Diophantine Approximation

Paul Gallagher · Journal of the London Mathematical Society · 1962 · 101 citations

Natural Sciences, Computer Science, Mathematics +11

On a problem in simultaneous diophantine approximation: Littlewood's conjecture

Andrew Pollington, Sanju Velani · Acta Mathematica · 2000 · 66 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +11