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Rajala and Romney's sharp lower-bound conjecture for modulus duality
Rajala–Romney conjecture. The optimal constant in this lower bound should be
Conjectureopengeometric-measure-theory modulus quasiconformal-geometryarXiv posted 2 days ago
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The modulus threshold conjecture for Moser families
Let $\Gamma$ be a Moser family, and let $\operatorname{mod}_{p}(\Gamma)$ denote its $p$ -modulus. Modulus threshold conjecture. … The conjecture asserts that every Moser family has…
Conjectureopengeometric-measure-theory modulusarXiv posted 2 days ago

Rajala and Romney's sharp lower-bound conjecture for modulus duality