Been decades since I've lived in an apartment, but as I recall there should be a clause in your rental agreement that stipulates that tenants must not make excessive noise which is irritating to others (assuming you're not a crackpot who expects absolute silence living in a downstairs apartment).
If that is the case, I would recommend that you take it up with the landlord, and if possible back up your complaint with evidence such as an audio recording from your cell phone or video camera.
Other than that, welcome to the hood (drop me an e-mail)...
ADG