Hi All, I'm new to this forum so thought the best start would be posting something pretty useful.
The parrallel or "New York" technique is just to thicken up your beats.
Start off with your drum track on a single channel, usually best if the mix on your drums is the best you can get it. Then send some of your drum track to a send channel with a compressor loaded on it. Usually sounds better if you dont send the whole signal, but have it loud enough to feel the difference.
These are guidelines for the compression parameters now, but in my opinion, compression should always be applied soley by ear and never using preset etc.
The compresser should have a fairly high ration, a fairly low threshold (-20db) and a quick attack, this ducks out the peak volume part of the drum hit. Then by ear adjust the release so the compressor opens on the tail end of your drum hits, add some make-up gain to bring the compressed channels levels to a nice hight, and hopefully your drums should sound fuller.
To reduce phase effects because of two tonally identical channels, fiddle with the eq on the send channel a little until your results are best, I find upping the high end usually brightens my drums up
Practice until it works, and until it sounds right. Hope this helps 
