63 citations · 185 across the 32 of their papers we have counts for
6 papers · 1 filter
Concise tensors with maximal symmetries
Annika Holtrup, Jeroen Zuiddam
Conner, Gesmundo, Landsberg and Ventura (2019) determined the largest stabilizer dimension of concise tensors that are binding, and they determined the corresp…
Border subrank of higher order tensors and algebras
Chia-Yu Chang, Fulvio Gesmundo, Jeroen Zuiddam
We determine the border subrank of higher order structure tensors of several families of algebras, and in particular obtain the following results. (1) We determine tight bounds on…
Explicit non-free tensors
Maxim van den Berg, Matthias Christandl, Vladimir Lysikov +3
Free tensors are tensors which, after a change of bases, have free support: any two distinct elements of its support differ in at least two coordinates. They play a distinguished r…
The next gap in the subrank of 3-tensors
Fulvio Gesmundo, Jeroen Zuiddam
Recent works of Costa-Dalai, Christandl-Gesmundo-Zuiddam, Blatter-Draisma-Rupniewski, and Briët-Christandl-Leigh-Shpilka-Zuiddam have investigated notions of discreteness and gaps…
A Gap in the Subrank of Tensors
Matthias Christandl, Fulvio Gesmundo, Jeroen Zuiddam
The subrank of tensors is a measure of how much a tensor can be ''diagonalized''. This parameter was introduced by Strassen to study fast matrix multiplication algorithms in algebr…
Border rank non-additivity for higher order tensors
Matthias Christandl, Fulvio Gesmundo, Mateusz Michałek +1
Whereas matrix rank is additive under direct sum, in 1981 Schönhage showed that one of its generalizations to the tensor setting, tensor border rank, can be strictly subadditive fo…