  We consider the proportion of generalized visible lattice points in the plane
visited by random walkers. Our work concerns the visible lattice points in
random walks in three aspects: (1) generalized visibility along curves; (2) one
random walker visible from multiple watchpoints; (3) simultaneous visibility of
multiple random walkers. Moreover, we found new phenomenon in the case of
multiple random walkers: for visibility along a large class of curves and for
any number of random walkers, the proportion of steps at which all random
walkers are visible simultaneously is almost surely larger than a positive
constant.
