We consider a collection of functions obtained by applying a group action and demonstrate that in many cases, these functions behave like independent random variables. We also apply our approach to analyse asymptotic distribution of arithmetic counting functions.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/7800