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Generalized Hyperspaces and Non-Metrizable Fractals
Generalized Hyperspaces Non-Metrizable Fractals
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2010/11/23
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the behavior of compact set...
Lipschitz-Killing curvatures of self-similar random fractals
self-similar random fractals curvatures Minkowski content
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2010/12/15
For a large class of self-similar random sets F in Rd geometric parameters Ck(F), k = 0, . . . , d, are introduced. They arise as a.s. (average or essential) limits of the volume Cd(F(")), the surface...