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math.CO2026
Geometric Block Exponents and a Uniform Mixed-Alphabet Sumset Inequality
Johannes Hosle, Paata Ivanisvili
We study sharp exponents in inequalities for pairs of finite geometric blocks. We characterize exactly when the endpoint determines the optimal exponent and compute the expon…
math.CO2025
Covering the hypercube, the uncertainty principle, and an interpolation formula
Paata Ivanisvili, Ohad Klein, Roman Vershynin
We show that the minimal number of skewed hyperplanes that cover the hypercube is at least , and there are infinitely many 's when the hypercube can…