Iteration of Exponentials with Sign Changes

Pierre Mazet; Emmanuel Halberstadt

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arXiv · 2407.15210

Iteration of Exponentials with Sign Changes

Pierre Mazet·Emmanuel Halberstadt

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Abstract

In this paper we consider the iteration of infinitely many signed exponentials with the same base but the signs may vary. We show that for every base in an explicit interval this iteration converges for any sequence of signs and all the real numbers are possible limits. We give some more results for a base outside this interval.

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Pierre Mazet, Emmanuel Halberstadt. 2024-07-21. Iteration of Exponentials with Sign Changes. https://arxiv.org/abs/2407.15210

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