### On β-shifts with a hole

Ergodic Theory and Dynamical Systems Seminar

1st June 2023, 2:00 pm – 3:00 pm

Fry Building, G.07

There is a wealth of number systems, some of which are more classical than others. These number systems give different representations of real numbers, for example binary, non-integer base and continued fraction. The associated theory has led to a number of solutions to practical problems, for instance in signal processing, coding theory and modelling of quasicrystals. In this talk we will discuss various aspects of non-integer base expansions and highlight some connections to the set of badly approximable numbers.

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