Geodesic
More Variations on the Sierpiński Sieve
Canadian journal of mathematics, Tome 62 (2010) no. 3, pp. 543-562

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DOI

This paper answers a question of Broomhead, Montaldi and Sidorov about the existence of gaskets of a particular type related to the Sierpiński sieve. These gaskets are given by iterated function systems that do not satisfy the open set condition. We use the methods of Ngai and Wang to compute the dimension of these gaskets.
DOI : 10.4153/CJM-2010-036-3
Mots-clés : 28A80, 28A78, 11R06 
Hare, Kevin G. More Variations on the Sierpiński Sieve. Canadian journal of mathematics, Tome 62 (2010) no. 3, pp. 543-562. doi: 10.4153/CJM-2010-036-3
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     title = {More {Variations} on the {Sierpi\'nski} {Sieve}},
     journal = {Canadian journal of mathematics},
     pages = {543--562},
     year = {2010},
     volume = {62},
     number = {3},
     doi = {10.4153/CJM-2010-036-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-036-3/}
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