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arXiv · 2107.04113

Birational maps with transcendental dynamical degree

Jason Bell·Jeffrey Diller·Mattias Jonsson·Holly Krieger
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Abstract

We give examples of birational selfmaps of $\mathbb{P}^d, d \geq 3$, whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The proof uses a combination of techniques from algebraic dynamics and diophantine approximation.

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Jason Bell, Jeffrey Diller, Mattias Jonsson, Holly Krieger. 2021-07-08. Birational maps with transcendental dynamical degree. https://arxiv.org/abs/2107.04113

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