We will formulate two sorts of equidistribution conjectures on curves, and discuss the numerical evidence for their truth in the case of elliptic curves.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3472
[3] https://www.mpim-bonn.mpg.de/node/4751