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フラクタル幾何学・双曲幾何・複素解析・力学系・エルゴード理論・確率論（ヨハネス・イェーリッシュ）
Showing the original Japanese · View translation
カオスな力学系とフラクタルの関わりを、エルゴード理論で探る研究。
AboutAbout the lab
カオスの奥にあるフラクタルを探る。
ヨハネス・イェーリッシュ先生は、
カオス的な
等角的な
学生への
Key terms
- 力学系
- 空間の
点が、 決まった 規則に したがって 時間とともに どう 動くかを 表す数学的な モデル - フラクタル
- ジュリア集合のように、
非常に 不規則で 複雑な 構造を もつ集合 - エルゴード理論
- 力学系の
長い 時間に わたる 平均的な ふる まいを、 確率 （測度）の 考え方で 調べる 分野 - クライン群
- 双曲
空間の 変換の うち、 とびとびの （離散的な） ものが つくる 群
ResearchResearch themes
等角的な
*Illustrative image等角的力学系とフラクタル幾何
等角半群作用の
*Illustrative image熱力学形式の一般化
1970年代に
MembersFaculty
- Associate Professorヨハネス・イェーリッシュ
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to フラクタル幾何学・双曲幾何・複素解析・力学系・エルゴード理論・確率論（ヨハネス・イェーリッシュ）
組合せ論・
表現論・
数理物理・統計力学・物性理論
数論幾何・代数幾何The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Julia set (highres 01)” Solkoll / Public domain (cropped)
- 等角的力学系と
フラクタル幾何: “Mandelbrot Set Image 113” Aokoroko / CC0 (cropped) - 熱力学形式の
一般化: “Mandel zoom 00 mandelbrot set” Created by Wolfgang Beyer with the program Ultra Fractal 3. / CC BY-SA 3.0 (cropped) - Related lab (組合せ論・
表現論 （岡田 聡一） ): “Line in combinatorics” Tensorproduct / CC BY-SA 4.0 (cropped) - Related lab (表現論・
無限可積分系 （林 孝宏） ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped) - Related lab (数理物理・統計力学・物性理論
（永尾 太郎） ): “Assorted dice for games, 2024” Ironmaidenfun / CC BY-SA 4.0 (cropped) - Related lab (数論幾何・代数幾何
（谷本 祥） ): “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped)
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