So, having read a variety of documentations on AES encryption, I came to the unknowledgeable conclusion that the key schedule applied to the array of chunks, and not just the 14 cycles on a single chunk. Thus I concluded that AES was not a linear hash, such that ciphering sequential equivalent chunks would produce a set of non-equivalent chunks.
I guess I kinda didn't pay attention though - I just used AES encryption source code to cipher an array of the same character, and got a very linear result. x-)
Is the AES key constant for all chunks? And should I be using a block-cipher mode other than ecb? Or is AES strong enough on its own?