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math.DS2021
An upper bound on the dimension of the Rauzy gasket
Mark Pollicott, Benedict Sewell
In this note, we give an elementary proof that the Hausdorff dimension of the Rauzy gasket is at most 1.7407, improving upon results of Avila et al. and Fougeron.
math.DS2021
An infinite interval version of the α-Kakutani equidistribution problem
Mark Pollicott, Benedict Sewell
In this article we extend results of Kakutani, Adler-Flatto, Smilansky and others on the classical -Kakutani equidistribution result for sequences arising from finite partitions…