Sorry, I don't know much about electrical stuff -- the box on the wall has about eight circuit breakers, labeled "bathroom," "kitchen," "left wall near window," etc. I used to think these were all different circuits, but since the lights can dim anywhere in the apartment I guess that's not the case?
Also, last night when I got home, I noticed one of my lights dimming -- when my home theater rig wasn't even on. This is the first time that's ever happened, but it leads me to believe the building's wiring isn't very good (or simply that other people in the building have been using much more power lately). I think I'll look into seeing if my electric company can come take a look at it, much as I don't want to cause trouble for my landlord.
By the way, I'd say my building is fairly old -- unlike most of my friends' newer places, it's all historic hardwood, with high ceilings, giant window moldings and a fireplace. I'm sure that's not helping.