64 citations · 414 across the 34 of their papers we have counts for
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math.NA2006★ 34 cited
The probability that a small perturbation of a numerical analysis problem is difficult
Peter Buergisser, Felipe Cucker, Martin Lotz
We prove a general theorem providing smoothed analysis estimates for conic condition numbers of problems of numerical analysis. Our probability estimates depend only on geometric i…
math.PR2006★ 2 cited
Average volume, curvatures, and Euler characteristic of random real algebraic varieties
Peter Buergisser
We determine the expected curvature polynomial of random real projective varieties given as the zero set of independent random polynomials with Gaussian distribution, whose distrib…