Pure Maths Colloquium: Tony Samuel
This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.
|Tony Samuel University of Birmingham
|Expansions of real numbers
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 modeling 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, concluding with a number of open questions.