10 citations · 77 across the 32 of their papers we have counts for
5 papers · 1 filter
On the pair correlations of powers of real numbers
Christoph Aistleitner, Simon Baker
A classical theorem of Koksma states that for Lebesgue almost every the sequence is uniformly distributed modulo one. In the present paper we extend Ko…
Iterated function systems with super-exponentially close cylinders
Simon Baker
Several important conjectures in Fractal Geometry can be summarised as follows: If the dimension of a self-similar measure in does not equal its expected value, then t…
Quantitative recurrence properties for self-conformal sets
Simon Baker, Michael Farmer
In this paper we study the quantitative recurrence properties of self-conformal sets equipped with the map induced by the left shift. In particular, given a function…
Equidistribution results for sequences of polynomials
Simon Baker
Let be a sequence of polynomials and . In this paper we study the distribution of the sequence modulo one. We give sufficient…
Overlapping iterated function systems from the perspective of Metric Number Theory
Simon Baker
In this paper we develop a new approach for studying overlapping iterated function systems. This approach is inspired by a famous result due to Khintchine from Diophantine approxim…