research article

On Coxeter recurrences

Abstract

An interesting family of recurrences of order n ≥ 2 which are globally (n+3)-periodic was introduced by Coxeter in 1971. We prove a surprising property of this family: "all" the possible geometrical behaviors that linear real (n+ 3)-periodic recurrences can have are present inside the Coxeter recurrences

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This paper was published in Diposit Digital de Documents de la UAB.

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