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Probability and Statistics Lab (Inoue)
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The lab investigates solvable nonlinear models using tools from algebra and geometry.
AboutAbout the lab
Understanding solvable models through cluster algebras
Prof. Inoue studies mathematical physics, in particular integrable systems.
Integrable systems is a field that deals with equations and models that have a structure allowing them to be solved exactly.
The lab's subjects include the Toda lattice, the box-ball system, and three-dimensional lattice models.
In recent joint research, the lab has been using quantum cluster algebras to study solutions of equations that express integrability in three dimensions.
Key terms
- integrable system
- A family of equations and models rich in symmetry, whose solutions' behavior can be written out in detail.
- box-ball system
- A model in which balls in a row of boxes move according to fixed rules. Groups of balls keep their shape even when they collide.
- cluster algebra
- An algebra in which variables are replaced one after another by a fixed procedure. It is deeply connected to combinatorics and geometry.
ResearchResearch themes
The lab specializes in integrable systems and mathematical physics.
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MembersFaculty
- ProfessorRei Inoue
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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: “J-inv-modulus” en:user:Linas / CC BY-SA 3.0 (cropped)
- Mathematical Structure of Integrable Models: “Newton's Cradle ( )” Sheila Sund / CC BY 2.0 (cropped)
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