4 papers
Nearly-polynomial inverse theorem for the U^d norm in degree d+1
Tomer Milo, Guy Moshkovitz
We prove a nearly polynomial inverse theorem for the Gowers norm, over finite fields of non-small characteristic, for polynomials of degree . The case of degree was…
Asymptotics for face numbers of certain Hanner polytopes, with applications
Tomer Milo
We provide asymptotics for the number of faces of a certain family of Hanner polytopes. As a corollary, we come close to saturating the FLM inequality for a certain family of param…
On the Figiel-Lindenstrauss-Milman inequality
Tomer Milo
The Figiel-Lindenstrauss-Milman inequality is a fundamental inequality in the combinatorial theory of polytopes. It is classically obtained as a corollary of Milman's version of Dv…
A very short proof of the Figiel-Lindenstrauss-Milman theorem
Tomer Milo
We provide a short proof for the Figiel, Lindenstrauss and Milman inequality regarding the number of vertices and faces of certain polytope, with an explicit bound on the universal…