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Multidimensional Automatic Sequences

Published in Cambridge University Press eBooks • Jul 21, 2003
Authors:
Jean‐Paul Allouche
,
Jeffrey Shallit

Abstract

In Chapter 5 we defined the notion of automatic sequence, and in later chapters we explored the properties of these sequences. By definition, an automatic sequences is a one-sided, one-dimensional sequence. But one-dimensional infinite arrays of items are not the only such objects studied in mathema...

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