11 citations · 29 across the 6 of their papers we have counts for
7 papers
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +33
This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the w…
Probabilistic intersection theory in Riemannian homogeneous spaces
Paul Breiding, Peter Bürgisser, Antonio Lerario +1
Let be a Riemannian homogeneous space, where is a compact Lie group with closed subgroup . Classical intersection theory states that the de Rham cohomology ring of $…
Real zeros of mixed random fewnomial systems
Peter Bürgisser
Consider a system of random real polynomials in variables, where each has a prescribed set of exponent vectors described by a set $A_i \sub…
On the Number of Real Zeros of Random Fewnomials
Peter Bürgisser, Alperen A. Ergür, Josué Tonelli-Cueto
Consider a system of random real polynomials in variables, where each has a prescribed set of terms described by a set $A\subseteq \mathbb{…
Permanent versus determinant, obstructions, and Kronecker coefficients
Peter Bürgisser
We give an introduction to some of the recent ideas that go under the name "geometric complexity theory". We first sketch the proof of the known upper and lower bounds for the dete…
Condition of intersecting a projective variety with a varying linear subspace
Peter Bürgisser
The numerical condition of the problem of intersecting a fixed -dimensional irreducible complex projective variety with a varying linear subspace $L\sub…
Intrinsic volumes of symmetric cones
Dennis Amelunxen, Peter Bürgisser
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 rela…