Abstract
AbstractWe investigate a parametric extension of the classical$s$-dimensional Halton sequence where the bases are special Pisot numbers. In a one-dimensional setting the properties of such sequences have already been investigated by several authors. We use methods from ergodic theory in order to investigate the distribution behavior of multidimensional versions of such sequences. As a consequence it is shown that the Kakutani–Fibonacci transformation is uniquely ergodic.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have