Cristian Cobeli, Alexandru Zaharescu: Flurries of Ducci waves, 177-188

Abstract:

We introduce the class of trees with integer nodes generated by the Ducci process applied on the digit representation of the nodes in some number system. There are two possible options: one is to let the size of the torus go down freely during the process and the other is to keep it fixed. We give revealing examples and discuss general characteristics in the two cases.

Key Words: Ducci games, cycle, precycle, period, discrete dynamics.

2010 Mathematics Subject Classification: Primary 11B50; Secondary 11B37, 37B15, 37C35.

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