2 problems

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Intertwining conjecture for non-singular strictly concave monotone kernels
Let $K$ be a non-singular, strictly concave and monotone kernel, and let $m_j$ denote the corresponding minimax functions for $n+1$ translates, with $n$ the dimension parameter. Fo…
Conjectureopenfunctional-analysis minimax-problems sum-of-translatesarXiv posted 2 days ago
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Ambrus–Ball–Erdős conjecture on equidistant minimizers for concave kernels
Ambrus–Ball–Erdős conjecture. The supremum of $F$ is minimized by the regular, equidistant configuration of nodes; after normalizing $y_0=0$ , this means
Conjecturesolvedcircle minimax-problems potential-theoryarXiv posted 2 days ago

Intertwining conjecture for non-singular strictly concave monotone kernels