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math.CO2023★ 1 cited
Sharp Hypercontractivity for Global Functions
Nathan Keller, Noam Lifshitz, Omri Marcus
For a function on the hypercube with Fourier expansion , the hypercontractive inequality allows bounding norms of $T_ρf=\sum_Sρ^…
math.CO2023
On -Intersecting Families of Permutations
Nathan Keller, Noam Lifshitz, Dor Minzer +1
We prove that there exists a constant such that for any and any , if is a -intersecting family of permutations then$|A|\leq…