To date, there has been a number of Apple TV users who have reported that problems with their wireless connections have started to appear, related to 5GHz 802.11n networks only after the installation of the 2.0.1 update. It seems that the update installation has resulted in Apple TV finding difficulty staying hooked up to certain wireless connections, suffering from dropped connections after a while.
So far quick fixes include switching to a 2.4GHz network or turning off the “Use wide channels” option of Apple’s Airport Extreme Base Station.