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Takahashi Lab
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The lab studies mathematical models such as the "box-ball system," which is described by the movement of balls.
AboutAbout the lab
Describing phenomena that change in discrete steps with equations.
Takahashi Lab studies difference equations and a mathematical technique called ultradiscretization.
The lab conducts research using cellular automata, including a model called the "box-ball system," which is described by the movement of balls.
The lab publishes its research results through presentations at academic conferences in Japan and abroad, and as papers.
Key terms
- Box-ball system
- A mathematical model in which balls are moved between boxes according to fixed rules, and the resulting patterns are studied
- Cellular automaton
- A computational mechanism in which, in an arrangement of cells, the state of each cell changes depending on its relationship with its neighbors
- Ultradiscretization
- A technique that replaces continuous changes in a quantity with discrete, step-by-step changes
NewsLab news
A presentation by Prof. Takahashi and colleagues received the Best Poster Award at the workshop "From Nonlinear Waves to Integrable Systems 2025"
A presentation by Prof. Takahashi and colleagues received the Outstanding Poster Award at the workshop "From Nonlinear Waves to Integrable Systems 2024"
ResearchResearch themes
Using techniques such as difference equations and ultradiscretization, the lab studies the properties of discrete mathematical models. It focuses mainly on the "box-ball system," a cellular automaton model.
*Illustrative imagePatterns in the Box-Ball System
Using the "box-ball system," a model described by the movement of balls, the lab studies topics such as the periodic patterns that appear when the system is extended to two dimensions.
*Illustrative imageDifference Equations and Ultradiscretization
The lab specializes in difference equations and the technique called ultradiscretization, and has co-authored a book titled "Differences and Ultradiscretization."
MembersFaculty
The members of Takahashi Lab consist of faculty (a Professor and a Research Associate) and master's and undergraduate students.As of 2025
- ProfessorDaisuke Takahashi
- Assistant (Joshu)Sojun Kitagawa
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: “Sample run of Rule 110 elementary cellular automaton, starting from single cell” LucasVB / CC0 (cropped)
- Patterns in the Box-Ball System: “Rule 184” David Eppstein / Public domain (cropped)
- Difference Equations and Ultradiscretization: “KdV simulation” Mikko Laine / CC BY-SA 3.0 (cropped)
- Related lab (Hayamizu Lab): “Petersen graph total coloring” Vinod kalagi / CC BY-SA 4.0 (cropped)
- Related lab (Ohmoto Lab): “Ripples dispersing sunlight into underwater rainbows in Brofjorden” W.carter / CC BY-SA 4.0 (cropped)
- Related lab (Ogita Lab): “U.s.-kilogram-masses” National Institute of Standards and Technology / Public domain (cropped)
- Related lab (Kashiwagi Lab): “Convergence of Iterative Numerical Methods for Poisson System with 16384 elements” ansariddle / CC BY-SA 4.0 (cropped)
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