Birational maps with transcendental dynamical degree
Dynamical Systems
2023-10-26 v2 Algebraic Geometry
Number Theory
Abstract
We give examples of birational selfmaps of , 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.
Cite
@article{arxiv.2107.04113,
title = {Birational maps with transcendental dynamical degree},
author = {Jason Bell and Jeffrey Diller and Mattias Jonsson and Holly Krieger},
journal= {arXiv preprint arXiv:2107.04113},
year = {2023}
}
Comments
To appear in Proc. Lond. Math. Soc