The heat equation on the finite Poincaré upper half-plane-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The heat equation on the finite Poincaré upper half-plane

Published:2021-07-21 Issue:10 Volume:149 Page:4171-4180
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

DeDeo M.,Velasquez Elinor

Abstract

A differential-difference operator is used to model the heat equation on a finite graph analogue of Poincaré’s upper half-plane. Finite analogues of the classical theta functions are shown to be solutions to the heat equation in this setting.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/earlyview/#proc15610/.pdf

Reference18 articles.

1. London Mathematical Society Lecture Note Series;Barlow, Martin T.,2017

2. Noyau de diffusion sur les espaces homogènes compacts;Benabdallah, Abdel-ilah;Bull. Soc. Math. France,1973

3. Heat kernel bounds on Riemannian manifolds;Benjamini, Itai,1995

4. Nancy Celniker, Steven Poulos, Audrey Terras, Cindy Trimble, and Elinor Velasquez, Upper half planes?, A Tribute to Emil Grosswald: Number Theory and Related Analysis, vol. 143, p. 65, 1993.

5. Coverings, heat kernels and spanning trees;Chung, Fan;Electron. J. Combin.,1999

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