@ARTICLE{BCL-General-Formulas-For-The-Smoothed-Analysis-Of-Condition-Numbers,
 JOURNAL={C. R. Acad. Sci. Paris},
 TITLE={General formulas for the smoothed analysis of condition numbers},
 VOLUME={Ser. I 343},
 AUTHOR={Peter Bürgisser and Felipe Cucker and Martin Lotz},
 YEAR={2006},
 URL={http://www3.math.tu-berlin.de/algebra/work/cr-published06.pdf},
 PAGES={145-150},
 DOI={10.1016/j.crma.2006.05.014},
 URL2={http://www.sciencedirect.com/science/article/pii/S1631073X06002123},
 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.},
 NUMBER={2}
}

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