Let $M:\mathbb{C^2}\mapsto\mathbb{C^2}$ be given as $$ M = \begin{bmatrix} e^{i\theta} & 0 \\ 0 & 1 \end{bmatrix} $$ What is its Julia set? First off is it non-empty. What is its Hausdorff measure? Does taking $\theta$ rational or irrational make any difference?
2026-04-08 16:18:29.1775665109
What is the Julia set of
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