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Subspaces of tensors with high analytic rank

Abstract

It is shown that if V \xe2\x8a\x86 \n \n \n F \n p \n n \n \n \n \n\xc3\x97\xe2\x8b\xaf\xc3\x97np is a subspace of d-tensors with dimension at least tnd-1, then there is a subspace W \xe2\x8a\x86 V of dimension at least t/(dr)\xe2\x88\x921 \np is a subspace of d-tensors with dimension whose nonzero elements all have analytic rank \xce\xa9d,p(r). As an application, we generalize a result of Altman on Szemer\xc3\xa9di\'s theorem with random differences

Similar works

This paper was published in CWI's Institutional Repository.

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