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The Chacon transformations: Combinatorics, geometric structure, link with the systems of complexity $$2n+1$$. (Les transformations de Chacon: Combinatoire, structure géométrique, lien avec les systèmes de complexité $$2n+1$$.) (French) Zbl 0855.28008
The author shows that Chacon’s map is a system of complexity $$(2n- 1)$$, and describes the associated graph of words. The latter is further used to give a primitive form of the substitution, and a geometric representation of the transformation, as an exduction of a triadic rotation. Finally, the complexity of the simplest known weakly mixing systems is computed.

##### MSC:
 28D05 Measure-preserving transformations
Full Text:
##### References:
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