2 citations · 2 across the 3 of their papers we have counts for
5 papers
Nonarchimedean integral geometry
Peter Bürgisser, Avinash Kulkarni, Antonio Lerario
Let be a nonarchimedean local field of characteristic zero with valuation ring , for instance, and . We prove a general integral geometric f…
Distribution of the eigenvalues of a random system of homogeneous polynomials
Paul Breiding, Peter Bürgisser
Let be a system of complex homogeneous polynomials in variables of degree . We call an eigenvalue of if there exists $v\in\math…
A coordinate-free condition number for convex programming
Dennis Amelunxen, Peter Bürgisser
We introduce and analyze a natural geometric version of Renegar's condition number R for the homogeneous convex feasibility problem associated with a regular cone C subseteq R^n. L…
Robust Smoothed Analysis of a Condition Number for Linear Programming
Peter Bürgisser, Dennis Amelunxen
We perform a smoothed analysis of the GCC-condition number C(A) of the linear programming feasibility problem \exists x\in\R^{m+1} Ax < 0. Suppose that \bar{A} is any matrix with r…
Coverage processes on spheres and condition numbers for linear programming
Peter Bürgisser, Felipe Cucker, Martin Lotz
This paper has two agendas. Firstly, we exhibit new results for coverage processes. Let be the probability that spherical caps of angular radius in do not…