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

登录注册会员服务联系我们

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

Reference39 articles.

1. Logarithmic forms and group varieties;Baker A.;J. Reine Angew. Math.,1993

2. Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$

3. Polynomial diffeomorphisms ofC 2

4. A transcendental dynamical degree

5. The Dynamical Mordell–Lang Conjecture

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP