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解析学２（確率論）（日野 正訓）
Showing the original Japanese · View translation
フラクタルの上の確率過程を研究する研究室。
AboutAbout the lab
入り組んだ図形の上の、ランダムな動きを探る。
日野研究室は、
シェルピンスキー・ガスケットのような
教科書『ルベーグ積分の
Key terms
- ディリクレ形式
- エネルギーの
考え方を 使って、 ランダムな 動き （マルコフ過程）を 扱う ための 道具 - フラクタル
- 一部を
拡大すると 全体と 似た 形が 現れる、 細かく 入り 組んだ 図形 - 拡散過程
- ブラウン
運動のように、 ランダムに 連続して 動く 粒子の 動き
ResearchResearch themes
確率解析、
MembersFaculty
- Professor日野 正訓
VoicesStudent voices
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幾何学２The 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: “Sierpinski-Pyramide Spitze 8K OpenCL HQ” PantheraLeo1359531 / CC BY 4.0 (cropped)
- フラクタル上の
マルチンゲール次元: “Sierpinski Triangle mod 3” Kabrick1 / CC BY 4.0 (cropped) - Related lab (解析学２
（確率解析） （楠岡 誠一郎） ): “Girsanov” Martin Keller-Ressel (uploaded by Thomas Steiner) / CC BY-SA 3.0 (cropped) - Related lab (解析学２
（確率解析、 確率制御） （濵口 雄史） ): “Alpha-stable-levy” Thomas Steiner and Martin Keller-Ressel / CC BY-SA 2.5 (cropped) - Related lab (代数学1 (整数論, 表現論)
（鈴木 美裕） ): “Cayley graphs of quaternion group” PSL27 / CC BY-SA 4.0 (cropped) - Related lab (幾何学２
（離散群論） （田中 亮吉） ): “Loop erased random walk in 2D” Cosmia Nebula / CC BY-SA 4.0 (cropped)
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