Oh, and the closest you'll come up with will be on dafont
http://www.dafont.com/levibrush.font?text=BLACK+SWAN
the A's in the original are both different (as well as the L forms the cross bar in the A in black) and the brush used is probably a sumi brush and ink ...
make your own.
That is not a font. That is custom to the movie.
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