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math.CO2021★ 5 cited
Partition and Analytic Rank are Equivalent over Large Fields
Alex Cohen, Guy Moshkovitz
We prove that the partition rank and the analytic rank of tensors are equal up to a constant, over finite fields of any characteristic and any large enough cardinality depending on…
math.CO2021
Structure vs. Randomness for Bilinear Maps
Alex Cohen, Guy Moshkovitz
We prove that the slice rank of a 3-tensor (a combinatorial notion introduced by Tao in the context of the cap-set problem), the analytic rank (a Fourier-theoretic notion introduce…