A subspace of d-tensors of dimension at least t n^{d-1} contains a subspace of dimension t/(dr) - 1 whose nonzero elements have analytic rank at least c r, which extends Altman's random-difference lower bound to k-APs.
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Subspaces of tensors with high analytic rank
A subspace of d-tensors of dimension at least t n^{d-1} contains a subspace of dimension t/(dr) - 1 whose nonzero elements have analytic rank at least c r, which extends Altman's random-difference lower bound to k-APs.