2 problems

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Conjecture on arbitrarily many revolutions around the defect
Revolution conjecture. For each positive integer $n$ , there exists an initial condition such that a trajectory coming into $R_2$ from $R_1$ performs $n$ clockwise revolutions aroun…
Conjectureopendynamical-systems metamaterials nonlinear-wavesarXiv posted 2 days ago
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Higher-order homogenization conjecture for quantitative scattering accuracy
Consider a two-dimensional metamaterial interface problem in which a multiband homogenized model approximates the exact dispersion relation and uses the corresponding continuity co…
Conjectureopenhomogenization metamaterials scatteringarXiv posted 2 days ago

Conjecture on arbitrarily many revolutions around the defect