Okay, you can stare a little bit. If you're nice.

This is my favorite kind of question- there is absolutely no right answer, and it's about crazy people.

I'm going to say that the quiet person staring at me wins. I could handle this situation by
A) falling asleep
B) staring at a movie or book
C) wondering just how attractive this person finds little old me and why he/she is stalking me in public; and/or
D) gently confronting the person and asking them if they wouldn't mind looking elsewhere.

Of course, I would probably try method D eventually, and find out the person was blind, and then I would be a jackhole. But that's better than a noisy stranger anytime.