One problem related to gas recirculation valve (egr valve) has been reported for the 2011 BMW M3. The most recently reported issues are listed below.
Ticking noise in the engine gradually got louder. Oil warning that it was low on oil. Added oil, still said it was low, then said it was too much. Then said it was low (particles from bearings were clogged in oil sensor giving false reading). Finally parked car when noise was so great that I thought it was going to blow up. Rod bears disintegrated on cylinders 2 and 5. Had to replace the engine.