图 书 馆
无限图上的拉普拉斯算子Laplacians on infinite graphs |
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| 课程网址: | https://videolectures.net/8ecm2021_kostenko_infinite_graphs/ |
| 主讲教师: | Aleksey Kostenko |
| 开课单位: | 8ECM会议 |
| 开课时间: | 2021-07-06 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | There are two different notions of a Laplacian operator associated with graphs: discrete graph Laplacians and continuous Laplacians on metric graphs (widely known as quantum graphs). Both objects have a venerable history as they are related to several diverse branches of mathematics and mathematical physics. The existing literature usually treats these two Laplacian operators separately. In this talk, I will focus on the relationship between them (spectral, parabolic and geometric properties). One of our main conceptual messages is that these two settings should be regarded as complementary (rather than opposite) and exactly their interplay leads to important further insight on both sides. Based on joint work with Noema Nicolussi. |
| 关 键 词: | 无限图上; 拉普拉斯算子; 度量图 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2024-05-28：liyq |
| 最后编审: | 2024-05-28：liyq |
| 阅读次数: | 18 |