Subrank and border subrank were introduced by Strassen. The rank and border rank of a generic tensor are the same and equal to the maximal border rank. However, we know less about the behavior of the subrank and border subrank. In this talk, we will introduce subrank and border subrank. I will construct some maximal border subrank tensors and will use this to compute a lower bound of the dimension of the set of maximal border subrank tensors.
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