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Experimental Mathematics Volume 23, 2014 - Issue 3
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Original Articles

On the Interior of “Fat” Sierpiński Triangles

Boris HasselblattDepartment of Mathematics, Tufts University, Medford, Massachusetts, USACorrespondence[email protected]
&
Donald Plante Jr.Division of Science and Technology, University of New Hampshire at Manchester, Manchester, New Hampshire, USA
Pages 285-309 | Published online: 03 Sep 2014

REFERENCES

  • [Broomhead et al. 04] Dave Broomhead, James Montaldi, and Nikita Sidorov. “Golden Gasket: Variations on the Sierpiński Sieve.” Nonlinearity 17 (2004), 1455–1480.
  • [Falconer 90] Kenneth Falconer. Fractal Geometry: Mathematical Foundations and Applications, 2nd edition. Wiley, 1990.
  • [Jordan 05] Thomas Jordan. “Dimension of Fat Sierpiński Gaskets.” Real Analysis Exchange 31 (2005), 97–110.
  • [Jordan and Pollicott 06] Thomas Jordan and Mark Pollicott. “Properties of Measures Supported on Fat Sierpiński Carpets.” Ergodic Theory and Dynamical Systems 26 (2006), 739–754.
  • [Pollicott 07] Mark Pollicott. “Problems in Dynamical Systems and Related Topics: “Fat” Self-Similar Sets.” Recent Progress in Dynamics 54 (2007), 315–316.
  • [Simon and Solomyak 02] Károly Simon and Boris Solomyak. “On the Dimension of Self-Similar Sets.” Fractals 10 (2002), 59–65.

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