Geodesic
Top addresses for a~certain family of iterated function system on a~segment
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 75-81

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We consider a one-parameter family of iterated function systems on the unit segment. For a fixed address $\tau$ we find the set of parameter values such that $\tau$ is the top address.
Keywords: iterated function systems, attractor, top address, $\beta$-expansion, greedy expansion. 
@article{IVM_2009_9_a7,
     author = {K. B. Igudesman},
     title = {Top addresses for a~certain family of iterated function system on a~segment},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {75--81},
     publisher = {mathdoc},
     number = {9},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_9_a7/}
}
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K. B. Igudesman. Top addresses for a~certain family of iterated function system on a~segment. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 75-81. http://geodesic.mathdoc.fr/item/IVM_2009_9_a7/