4 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
A formula for the upper box-counting dimension of self-projective sets
Benedict Sewell
We prove a packing exponent formula for the upper box-counting dimension of attractors of certain projective iterated function systems. This partially affirms a conjecture of De Le…
An elementary proof that the Rauzy gasket is fractal
Mark Pollicott, Benedict Sewell
We present a purely elementary proof that the Rauzy gasket has Hausdorff dimension strictly smaller than two.
Explicit examples of resonances for Anosov maps of the torus
Mark Pollicott, Benedict Sewell
In [23], Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of the two-torus for which their resonances could be completely described. Their approach…
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.
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…