Proves Rump's 100-euro conjecture via a new escape principle derived from Ball's plank theorem and obtains the sharp bound rho_0(|A|) <= n rho_K(A).
Ortega-Moreno,An optimal plank theorem, Proc
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Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture
Proves Rump's 100-euro conjecture via a new escape principle derived from Ball's plank theorem and obtains the sharp bound rho_0(|A|) <= n rho_K(A).