In 1976, Gérard Rauzy proved a characterization of
deterministic numbers: y is deterministic iff for any normal number x,
x+y is also normal. During my lecture I will discuss the notion of a
deterministic point in a topological dynamical system, especially,
what is a deterministic real number, and say how deterministic numbers
behave under arithmetic operations. I will conclude by a series of
associated open problems.
Meeting ID: 852 4277 3200