Shrinking targets on Bedford-McMullen carpets

Abstract

We describe the shrinking target set for the Bedford-McMullen carpets, with targets being either cylinders or geometric balls.

References in corpus (2)

• Dimension of self-affine sets for fixed translation vectors
• Hausdorff dimension of the set approximated by irrational rotations

Cited by in corpus (3)

• Dynamically defined subsets of generic self-affine sets
• Quantitative recurrence problem on some Bedford-McMullen carpets
• On Dirichlet non-improvable numbers and shrinking target problems