I came here to ask the exact same question. I submitted my application on the 28th and I haven’t received an email from them either and it’s worrying me. I don’t know if I should call them or if this is normal.
Nevermind: http://talk.collegeconfidential.com/brown-university/1727298-have-not-received-my-confirmation-email.html#latest
Apparently it’s normal.