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math.DS2021
On normal numbers and self-similar measures
Simon Baker
In this paper we prove that if is an equicontractive iterated function system and is a positive integer satisfying $\frac{\log b}{\log |λ|}\notin\mathbb{Q},…
math.DS2021
New dimension bounds for sets
Simon Baker
In this paper we obtain new lower bounds for the upper box dimension of sets. As a corollary of our main result, we show that if is not a Liouville number and is a Lio…