@article{BCL-General-Formulas-For-The-Smoothed-Analysis-Of-Condition-Numbers,
Title = {General formulas for the smoothed analysis of condition numbers},
Author = {Peter Bürgisser and Felipe Cucker and Martin Lotz},
Pages = {145-150},
Year = {2006},
Doi = {10.1016/j.crma.2006.05.014},
Journal = {C. R. Acad. Sci. Paris},
Volume = {Ser. I 343},
Number = {2},
Abstract = {We provide estimates on the volume of tubular neighbourhoods around a subvariety $\Sigma$ of real projective space, intersected with a disk of radius $\sigma$. The bounds are in terms of $\sigma$, the dimension of the ambient space, and the degree of equations defining $\Sigma$. We use these bounds to obtain smoothed analysis estimates for some conic condition numbers.},
Url = {http://www3.math.tu-berlin.de/algebra/work/cr-published06.pdf},
Url2 = {http://www.sciencedirect.com/science/article/pii/S1631073X06002123}
}