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応用数理研究部門（磯野 優介）
Showing the original Japanese · View translation
離散群から作るvon Neumann 環とエルゴード理論の関わりを探る研究室。
AboutAbout the lab
群の作用から生まれる作用素環を調べる。
磯野研究室は、
作用素環は、
おもに、
Key terms
- 作用素環
- 無限次元の
空間 （ヒルベルト空間）に 働く 線形な 変換 （作用素）が 集まって できる 代数の 構造 - エルゴード理論
- 変換を
くり返した ときの、 長い 時間で 見た 平均的な ふる まいを 調べる 数学の 分野 - 剛性定理
- 弱い
意味で 同じと みなせる ものが、 実は 強い 意味でも 同じに なる ことを 示す定理
ResearchResearch themes
von Neumann 環と
*Illustrative imagedeformation/rigidity 理論
例えば
*Illustrative imagevon Neumann 環の構造と剛性
冨田・竹崎理論を
MembersFaculty
- Associate Professor磯野 優介
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Bernoullishift” Andreas Mandl / CC BY-SA 3.0 (cropped)
- deformation/rigidity 理論: “Ergodic mixing of putty ball after repeated Smale horseshoe map” Yaroslav I. Sobolev and Kamil R. Karimullin / CC BY-SA 3.0 (cropped)
- von Neumann 環の
構造と 剛性: “Hyperbolic tiling 9-2 9” Double sharp (talk). Created using Tyler and Paint. / Public domain (cropped) - Related lab (応用数理研究部門
（小澤 登高） ): “Cayley graph of Alternating Group A5” Kathryn Cramer / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（SEHNEM, Camila） ): “Hyperbolic tiling 7 7-2” Double sharp (talk), based on this picture by Jim McNeill, but with the remaining overlapping heptagons left as outlines instead of deleted. A green background to the tiling has also been added. Created using Tyler and Paint. / Public domain (cropped) - Related lab (応用数理研究部門
（牧野 和久） ): “B functies 2var versie02” Bob.v.R / CC BY-SA 4.0 (cropped) - Related lab (応用数理研究部門
（小林 佑輔） ): “Graph-matroid” Didia / CC BY-SA 4.0 (cropped)
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