×

Some new methods for constructing normal numbers. (English) Zbl 1295.11081

Summary: Given an integer \(q \leq 2\), a \(q\)-normal number is a real number whose \(q\)-ary expansion is such that any preassigned sequence of length \(k \leq 1\), of base \(q\) digits from this expansion, occurs at the expected frequency, namely \(1/q^k\). We expose two new methods which allow the construction of large families of \(q\)-normal numbers.

MSC:

11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
PDFBibTeX XMLCite