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Can I read Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing on EtoBox?
Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing by R.Daniel Mauldin; Mariusz Urbański is a Mathematics article available to read on EtoBox.
What is Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing about?
In this paper we apply some results about general conformal iterated function systems to A, the residual set of a standard Apollonian packing or a curvilinear Sierpinski gasket. Within this context, it is straightforward to show that h, the Hausdorff dimension of A, is greater than 1 and the packing dimension and the upper and lower box counting dimensions are all the same as the Hausdorff dimension. Among other things, we verify Sullivan's result that 0<H h (A)< and P h (A)= .
Who reads Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- R.Daniel Mauldin; Mariusz Urbański
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 1998
- Language
- EN
- Field
- Mathematics (Physical Sciences)