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Log-optimal (š¯‘‘+2)-configurations in š¯‘‘ā€“dimensions

Log-optimal (š¯‘‘+2)-configurations in š¯‘‘ā€“dimensions

We enumerate and classify all stationary logarithmic configurations of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d plus 2"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>+</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">d+2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> points on the unit sphere in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d"> <mml:semantics> <mml:mi>d</mml:mi> <mml:annotation encoding="application/x-tex">d</mml:annotation> </mml:semantics> </mml:math> </inline-formula>ā€“dimensions. In particular, we show that ā€¦