Originally Posted by holymadness
Supposedly, Apple has written software for the mini that "knows" when you're just resting your thumb on the edge of the screen and does not register that as an interactive touch. They mentioned this in the keynote. I haven't tried it out so I don't know how it works, though.
I saw a video demoing this. Apple anticipated the narrow side bevels would present a problem. I forgot to test this the last time I was at an Apple store, but I never had any touch screen reading or tapping problems.