Birkhoff Measures, Birkhoff Sums, and Discrepancies

D. Ralston, F. M. Tangerman, J. J. P. Veerman +1

We study the distribution of a sequence of points in the circle generated by rotations by a fixed irrational number $\rho$ with initial condition $x_0$, that is: $\{x_0+i\rho {\}}_{i=1}^n$.…