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Mathematics Lab
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The lab explores random dynamical systems and fractals to ask what happens when the rules fluctuate.
AboutAbout the lab
Order and complexity born of chance
The lab studies systems that change over time according to fixed rules (dynamical systems), as well as random dynamical systems, in which those rules change probabilistically.
In random dynamical systems, many new phenomena that do not occur when the rule is fixed have been found, and they are attracting attention from mathematics and nonlinear physics.
Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out their graduation research there (in the graduate school, the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Key terms
- Dynamical system
- A system whose state changes over time according to a rule. It appears in many mathematical models of nature and society
- Fractal
- A complex figure in which shapes similar to the whole appear when its details are magnified
ResearchResearch themes
The lab studies dynamical systems theory, particularly random complex dynamical systems on the complex plane and the fractals that appear in their limits.
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MembersFaculty
- ProfessorHiroki Sumi
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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: “Spirals in self-similarity” PantheraLeo1359531 / CC BY-SA 4.0 (cropped)
- Random Complex Dynamics and Fractals: “Julia osc Z3 LN Z3.jmb” Josep m batlle2 / CC BY-SA 3.0 (cropped)
- Related lab (力学系理論
（木坂 正史） ): “Exp-esc” Arnaud Cheritat / CC0 (cropped) - Related lab (森成物性理論研究室): “Tile levitates by Meissner effect” Garrett Pennell / CC BY-SA 3.0 (cropped)
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