My paper about the Bures measure was published
Calculation of the unitary part of the Bures measure for N-level quantum systems
The Bures measure can be written as the product of two factors. One corresponding to the populations and the other corresponding to the unitary transformation. Many people arrived to formulas for the Bures volume and the volume of the unitary part of the Bures measure, but in this paper we give an explicit expression of the measure itself in terms of even balls.
Much more about measures is going to come the public very soon!