MathDB2 problems
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Characterization of maximizing sequences for the reverse Cheeger inequality
Conjecture. The maximizing sequences among convex bodies are precisely those whose relative widths satisfy
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Maximization-order conjecture for the Cheeger-based upper bound
Maximization-order conjecture. The upper bound can be improved by replacing the former quantity with the latter. The conjecture would remove the extra logarithmic loss arising from…