I instantly thought about eye tracking experiments, in which we see lots of small movements around an area, then big jumps across the screen. I guess others have thought about it too.
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.79.05...
https://www.academia.edu/1112368/Modelling_gaze_shift_as_a_c...
I'm intrigued.