2017 Fiscal Year Final Research Report
Discrete geometric analysis on boundaries of graphs and groups
| Project/Area Number |
26800029
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Tohoku University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 離散群 / グラフ / 調和関数 |
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| Outline of Final Research Achievements |
It is expected to develop geometry on discrete objects in connections not only to mathematics but also to other fields in natural sciences. Our research focuses on problems in mathematics and related fields, in particular analysis on discrete groups and graphs, as they form an active research area in recent years. The topic is also related to mathematical aspects of computer sciences and statistical physics. In order to deepen our understanding on discrete groups, we introduced a new class of groups, and have studied its basic property.
This clarified its relations to other well-studied groups which had been difficult to analyze.
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| Free Research Field |
離散群論
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