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arXiv 2016-05-05 0 views

Cantor type functions in non-integer bases

Baiocchi, Claudio · Komornik, Vilmos · Loreti, Paola

Original · EN

Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behave quite differently.

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