As far as foot stomping goes I believe they do use it to communicate.

Yesterday my dad shot a little buck from his stand and it ran towards my stand (we aren't very far apart) which frightened this monster buck that was standing in the thicket 20 yards away from me and he did the stoming thing(I never got a shot he trotted off and it was too thick to see him). I suppose it was to try and communicate with the deer that was shot. Maybe he was "asking" what that boom was.