The shrinking target problem for matrix transformations of tori: Revisiting the standard problem

We consider linear mappings on the 2-dimensional torus, defined by T ( x ) = A x ( mod 1 ) , where A is an invertible 2 × 2 integer matrix, with no eigenvalues on the unit circle. In the case det A = ± 1 , we give a formula for the Hausdorff dimension of the set

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The shrinking target problem for matrix transformations of tori: Revisiting the standard problem

Cited by 6 publications

References 33 publications

Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

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