This article is cited in 4 papers

Brief communications

Top addresses for a certain family of iterated function system on a segment

K. B. Igudesman

Chair of Geometry, Kazan State University, Kazan, Russia

Abstract: 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.

UDC: 511.72

Received: 26.12.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:9, 67–72

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