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応用数理(数理生物・非線形数理・量子基礎論)（大平 徹）
Showing the original Japanese · View translation
遅れやゆらぎ、集団の追いかけっこを数理モデルで探る研究。
AboutAbout the lab
現象から、数理モデルをつくる。
大平徹先生は、
数学の
情報伝達の
数理モデルづくりには、
Key terms
- 数理モデル
- 現象の
しくみを、 数式や ルールで 単純化して 表した もの - ランダムウォーク
- 一歩ごとに
進む 向きが 確率で 決まる、 で たらめな 動きの モデル - 自己相関関数
- ある
時刻の データと、 少し 後の データが どれくらい 似ているかを 表す関数 - フィードバック
- 動きの
結果を 観測して、 次の 動きの 調整に 戻すしく み
NewsLab news
非自励系の
遅れ微分方程式で 振幅が 大きく 増幅される 現象の 論文を 発表 フーリエ変換で
非自励系の 遅れ微分方 程式を 解く 手法の 論文を 発表 遅れ微分方
程式の 過渡的な 復帰現象の モデルの 論文を 発表 生物の
表皮パターンの 生成と 消滅の しくみの モデルの 論文を 発表
ResearchResearch themes
神経回路や
*Illustrative image集団追跡と逃避
数学で
*Illustrative image遅れとゆらぎを含む系
遅れと
*Illustrative image遅れ確率制御
人の
*Illustrative image遅れとノイズの応用
遅れや
MembersFaculty
- Professor大平 徹
VoicesStudent voices
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表現論・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: “Blackbird-sunset-03” Jerry Segraves (en:User:Jsegraves99) / Public domain (cropped)
- 集団追跡と
逃避: “Border Collie sheepdog trial” Scot Campbell / CC BY-SA 2.0 (cropped) - 遅れと
ゆらぎを 含む系: “Brownian trajectory” Roque345 / CC BY 3.0 (cropped) - 遅れ確率制御: “Feedback control system” Controlsystemintro / CC BY-SA 4.0 (cropped)
- 遅れと
ノイズの 応用: “Network graph visualization showing bibliography and keywords” Ecpp / CC BY-SA 4.0 (cropped) - Related lab (数理物理・
一般相対性理論・宇宙論 （泉 圭介） ): “Lensed Galaxy Arc in Galaxy Cluster RCS” NASA Hubble / CC BY 2.0 (cropped) - Related lab (表現論・作用素環論
（荒野 悠輝） ): “Mathematics lecture notes, Mathematical analysis, Linear algebra, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped) - Related lab (表現論・
無限可積分系・数理物理 （中西 知樹） ): “Root system A2 with labels” Mark L MacDonald; derivative of work of User:Smithers888 and User:Maksim / CC BY-SA 3.0 (cropped) - Related lab (表現論・
無限可積分系 （林 孝宏） ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped)
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