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math.CO2023
A new bound for the Fourier-Entropy-Influence conjecture
Xiao Han
In this paper, we prove that the Fourier entropy of an -dimensional boolean function can be upper-bounded by , whe…
math.GT2023
Thurston norms, -norms, geodesic laminations, and Lipschitz maps
Xiaolong Hans Han
For closed hyperbolic -manifolds with volume less than a constant , we prove an inequality regarding the geometric -norm and the topological Thurston norm, which is…