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AsympTensorPolytope explores the properties of moment polytopes related to tensors, aiming to establish new bounds on tensor rank and complexity. The project utilizes various mathematical approaches to analyze tensor behavior, with implications for matrix multiplication, quantum information, and combinatorial structure…
In AsympTensorPolytope I will study the behavior of moment polytopes of families of tensors, as well as their ability to prove bounds on (asymptotic) tensor rank and subrank.
I aim to determine properties of the moment polytopes of the unit tensors of varying ranks, as well as matrix multiplication tensors, in particular whether they are distinct from the generic polytopes of their respective format.To achieve this, I will use a combination of the various different descriptions of moment polytop…
KOBENHAVNS UNIVERSITET
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