Research Network: Analysis on Graphs

研究网络：图分析

• 批准号: EP/I038217/1
• 负责人: B Brown
• 金额: $ 12.72万
• 依托单位: CARDIFF UNIVERSITY
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2012
• 资助国家: 英国
• 起止时间: 2012 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FI038217%2F1
• 关键词: Research; Network; Analysis; Graphs

Many important physical systems have been modelled with the aid of graph like structures.A number of groups in the UK are working on these problems and the proposed network will be a means wherethey can meet fellow research workers to discuss problems and present new ideas with the goal of creating synergy.As well as facilitating interaction between UK mathematicians working in these areas the network will also bring inoutside experts to contribute to the meetings and also provide funds for these experts to vist members of the network.

许多重要的物理系统都是在图形结构的帮助下建模的。英国的一些小组正在研究这些问题，拟议中的网络将成为他们与研究人员讨论问题和提出新想法的一种手段，目的是创造协同作用。除了促进在这些领域工作的英国数学家之间的互动外，该网络还将吸引外部专家作出贡献并为这些专家访问网络成员提供资金。

项目成果

Quantum search on graphene lattices.

• DOI: 10.1103/physrevlett.112.070504
• 发表时间: 2013-12
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: Iain Foulger;S. Gnutzmann;G. Tanner

Quantum Ergodicity for Quantum Graphs without Back-Scattering

• DOI: 10.1007/s00023-015-0435-8
• 发表时间: 2016-06-01
• 期刊: ANNALES HENRI POINCARE
• 影响因子: 1.5
• 作者: Brammall, Matthew;Winn, B.
• 通讯作者: Winn, B.

Quantum search on graphene lattices

石墨烯晶格的量子搜索

• DOI: 10.48550/arxiv.1312.3852
• 发表时间: 2013
• 作者: Foulger I

Gap localization of multiple TE-Modes by arbitrarily weak defects

通过任意弱缺陷对多个 TE 模式进行间隙定位

• DOI: 10.1112/jlms.12337
• 发表时间: 2020
• 期刊: Journal of the London Mathematical Society
• 作者: Brown B

Compressed Resolvents and Reduction of Spectral Problems on Star Graphs

星图谱问题的压缩求解和简化

• DOI: 10.1007/s11785-018-0793-6
• 发表时间: 2018
• 期刊: Complex Analysis and Operator Theory
• 影响因子: 0.8
• 作者: Brown B