Exceptional digit frequencies and expansions in non-integer bases

Fractal Geometry and Dynamics

22 November 14:00 - 14:50

Simon Baker - University of Warwick

A beta expansion is a representation of a real number. Importantly this representation is often not unique. Consequently, one can ask whether amongst the set of representations does there exist one that satisfies a certain property. In this talk we examine this question in the context of digit frequencies. I will discuss some recent work where it is shown that as our base approaches 1, the set of realisable digit frequencies fills out the simplex.
Kenneth J. Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki


Maarit Järvenpää


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