3 problems
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Hyperbolicity conjecture for the cubic connectedness locus
Let be a complex cubic map, and let be its point in complex parameter space. The connectedness locus consists of maps for which the forward orbits of both critical poin…
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The conjecture that the connectedness locus has no isolated points
Let be the connectedness locus for pairs of affine maps on . A point of is isolated if it has a neighborhood in the ambient parameter spac…
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The conjecture that the connectedness locus has no outlier points
Let be the connectedness locus for pairs of affine maps on , and let denote the set of outlier points, namely points of tha…