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math.DS2020
Analogues of Khintchine's theorem for random attractors
Simon Baker, Sascha Troscheit
In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine appr…
math.DS2020
Iterated function systems with super-exponentially close cylinders II
Simon Baker
Until recently, it was an important open problem in Fractal Geometry to determine whether there exists an iterated function system acting on with no exact overlaps for…
math.DS2020
Equidistribution results for self-similar measures
Simon Baker
A well known theorem due to Koksma states that for Lebesgue almost every the sequence is uniformly distributed modulo one. In this paper we give suffic…