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Hausdorff and packing dimensions of the images of random fields
Hausdorff packing dimensions the images of random fields
2010/11/24
Let $X=\{X(t),t\in\mathbb{R}^N\}$ be a random field with values in $\mathbb{R}^d$. For any finite Borel measure $\mu$ and analytic set $E\subset\mathbb{R}^N$, the Hausdorff and packing dimensions of t...
Computer Generated Images for Quadratic Rational Maps with a Periodic Critical Point
rational map complex dynamics plane curve singularities geometric
2010/12/8
We describe an algorithm for distinguishing hyperbolic compo-nents in the parameter space of quadratic rational maps with a periodic critical point. We then illustrate computer images of the hyperboli...