11 years ago, so you'll likely never read this, but for posterity...
I seem to recall an interview in a magazine where Blanchett said that she had shaved her head and rather liked it.
As far as wigs go, they have "bald caps" which will hide hair to some extent. I've never used them personally, but I imagine that they would require a minimal amount of hair to be effective.
There is always composite shots, CGI, and so forth, but for my money, I'd bet that she shaved her head. Portman did, too, I believe.
For publicity and appearance's sake, I think that "I shaved my head for a role" is publicity and clout enough, and if not, there are wigs. Getting back to a level of head fuzz that is the equivalent of a pixie cut likely wouldn't take long, either. They also might just enjoy being anonymous and going out to the grocery store or coffee shop without being hounded for once. I can't image they would be recognisable without their hair.
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