64 citations · 414 across the 34 of their papers we have counts for
3 papers · 1 filter
Geometric Complexity Theory and Tensor Rank
Peter Buergisser, Christian Ikenmeyer
Mulmuley and Sohoni (GCT1 in SICOMP 2001, GCT2 in SICOMP 2008) proposed to view the permanent versus determinant problem as a specific orbit closure problem and to attack it by met…
Even Partitions in Plethysms
Peter Bürgisser, Matthias Christandl, Christian Ikenmeyer
We prove that for all natural numbers k,n,d with k <= d and every partition lambda of size kn with at most k parts there exists an irreducible GL(d, C)-representation of highest we…
Smoothed Analysis of Moore-Penrose Inversion
Peter Buergisser, Felipe Cucker
We perform a smoothed analysis of the condition number of rectangular matrices. We prove that, asymptotically, the expected value of this condition number depends only of the elong…