It has been mentioned in other Q/A posts that stars increase voting power at a rate of `floor(log10(stars)) + 1`, and stars are community-specific (i.e. they don't transfer between communities).

As a user, it would be nice to be able to somehow figure out the number of stars.  Perhaps that information could be embedded in the user profile on each community?
Top Answer
Currently you can mouse-over any avatar and see how many stars the corresponding user has in a tool tip.

For example, at the time of writing this you have 29 stars in Meta.

Screenshot (cursor not visible):

How to Find Profile Reputation
:) Nice.  Sounds like a fun community.
Skillmon replying to holmanb
Relatable, I just know because we had our fun at the TeX beta hailing to every new point leader (which sometimes changed on a minute-by-minute basis in the early days).
@Skillmon I tried that previously but clearly I was not patient enough to wait 1.5 seconds for the count to appear.