@unpublished{AB-Intrinsic-Volumes-Of-Symmetric-Cones,
Title = {Intrinsic volumes of symmetric cones},
Author = {Dennis Amelunxen and Peter Bürgisser},
Year = {2012},
Note = {A substantially revised and shortened version of this preprint has been published in Mathematical Programming 149(1-2) pp. 105-130, 2015.},
Abstract = {We compute the intrinsic volumes of the cone of positive semidefinite matrices over the real numbers, over the complex numbers, and over the quaternions, in terms of integrals related to Mehta's integral. Several applications for the probabilistic analysis of semidefinite programming are given.},
Url = {http://arxiv.org/abs/1205.1863},
Url2 = {http://www3.math.tu-berlin.de/algebra/work/arxiv1205.1863v1.pdf}
}