AirServer vs. Apple TV 3 - Wind-up Knight
Notice the lag on Apple TV when jumping. AirServer for Mac provides faster and higher quality AirPlay mirroring even at 2560x1440
http://www.airserverapp.com/
Hardware:
1. New iPad + Apple TV 3 + Sony KDL-46NX710
2. New iPad + iMac 2010 + AirServer 4.2.1
Network:
Directly wired to Time Capsule in both cases