Provides characterization of near-extremizers for the fourth noncommutative Gowers uniformity norm, enabling an efficient tester for the third Clifford hierarchy level.
Mili ´cevi´c,Quasipolynomial inverse theorem for theU 4(Fn p )norm, preprint (2024),https://arxiv
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The Jamneshan-Tao conjecture holds for finite abelian groups of rank at most R via an inverse theorem linking non-trivial Gowers norms to bounded-complexity nilsequences.
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On Clifford hierarchy testing and near-extremizers of noncommutative uniformity norms
Provides characterization of near-extremizers for the fourth noncommutative Gowers uniformity norm, enabling an efficient tester for the third Clifford hierarchy level.