Birational maps with transcendental dynamical degree-Reference-Cited by-同舟云学术

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Birational maps with transcendental dynamical degree

Published:2023-12-19 Issue:1 Volume:128 Page:
ISSN:0024-6115
Container-title:Proceedings of the London Mathematical Society
language:en
Short-container-title:Proceedings of London Math Soc

Author:

Bell Jason P.¹,Diller Jeffrey²,Jonsson Mattias³,Krieger Holly⁴

Affiliation:

1. Department of Pure Mathematics University of Waterloo Waterloo ON Canada

2. Department of Mathematics University of Notre Dame Notre Dame Indiana USA

3. Department of Mathematics University of Michigan Ann Arbor Michigan USA

4. Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge UK

Abstract

AbstractWe 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.

Funder

Natural Sciences and Engineering Research Council of Canada

National Science Foundation

United States-Israel Binational Science Foundation

Isaac Newton Trust

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/plms.12573

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3. Polynomial diffeomorphisms ofC 2

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5. The Dynamical Mordell–Lang Conjecture

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