iPad behaving erratically: "ghost touching"

I'm the original poster on this thread. I ended up taking my iPad back to the Apple Store. They ran some diagnostics, and found that my RAM was almost maxed out, which didn't really make sense. It indicated a faulty processor, so they gave me a new iPad. I took it home, synched, and it only took about 45 minutes to synch 30 gigs of data. My original iPad took about 5 hours to synch for the first time. Clearly there was a problem with the processor in the first one, but I didn't realize it at first, as it took several weeks before it started exhibiting the erratic screen behavior. Hope this helps anyone else who might experience this down the line.