I pad to Mac mini ? Can they connect wirelessly?

http://manuals.info.apple.com/en_US/ipad_user_guide.pdf

Page 115

Yes. This cane be done wirelessly. Open up itunes on your Mac mini and connect your ipad to it using the cable. When in iTunes, click on the iPad control and select ' connect wirelessly'. This means that they will connect wirelessly when they are on the same network.

I hope that this helps.