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Tree morphisms, transducers, and integer sequences

Zoran Sunic
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Abstract

The notion of transducer integer sequences is considered through a series of examples. By definition, transducer integer sequences are integer sequences produced, under a suitable interpretation, by finite automata encoding tree morphisms (length and prefix preserving transformations of words). Transducer integer sequences are related to the notion of self-similar groups and semigroups, as well as to the notion of automatic sequences.

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Zoran Sunic. 2006-12-04. Tree morphisms, transducers, and integer sequences. https://arxiv.org/abs/math/0612080

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