1. CMB 2007 (vol 50 pp. 399)
||Expansions in Complex Bases |
Beginning with a seminal paper of R\'enyi, expansions in noninteger real bases have been widely
studied in the last
forty years. They turned out to be relevant in
various domains of mathematics, such as the theory of finite
theory, fractals or dynamical systems.
Several results were extended by Dar\'oczy and K\'atai
in complex bases. We introduce an adaptation of the so-called greedy
algorithm to the complex case, and we
generalize one of their main theorems.
Keywords:non-integer bases, greedy expansions, beta-expansions
Categories:11A67, 11A63, 11B85