10 citations · 77 across the 32 of their papers we have counts for
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math.DS2018★ 1 cited
An infinitely generated self-similar set with positive Lebesgue measure and empty interior
Simon Baker, Nikita Sidorov
Peres and Solomyak asked the question: Do there exist self-similar sets with positive Lebesgue measure and empty interior? This question was answered in the affirmative by Csörnyei…
math.NT2018
A General Mass Transference Principle
Demi Allen, Simon Baker
In this paper we prove a general form of the Mass Transference Principle for sets defined via neighbourhoods of sets satisfying a certain local scaling property. Such set…
math.DS2018★ 1 cited
Maximising Bernoulli measures and dimension gaps for countable branched systems
Simon Baker, Natalia Jurga
Kifer, Peres, and Weiss proved that there exists such that for any probability measure which makes the digits of the continued fraction expansion i.…