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Toyoizumi Lab
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The lab uses probability to interpret familiar phenomena such as networks and sports.
AboutAbout the lab
Describing phenomena governed by chance with mathematical equations.
Toyoizumi Lab studies how to represent a wide variety of probabilistic phenomena in the world with mathematical models.
It covers a broad range of subjects, including networks, sports, the ecology of living things, genes, financial engineering, and how companies and projects progress.
The lab also studies the mathematical properties of probability theory and stochastic process theory themselves, which are needed to understand uncertain phenomena.
Key terms
- Probabilistic model
- A mathematical representation of a phenomenon whose occurrence is determined by chance
- Stochastic process
- A mathematical concept describing how a quantity that changes randomly over time behaves
- Probability theory
- A theory for mathematically analyzing phenomena governed by chance
ResearchResearch themes
The lab builds models of a wide variety of probabilistic phenomena in the world. It also studies the mathematical properties of probability theory and stochastic process theory themselves, which are needed to understand uncertain phenomena.
*Illustrative imageProbabilistic Modeling of Familiar Phenomena
The lab studies how to represent a wide variety of phenomena in the world with probabilistic models, including networks, sports, the ecology of living things, genes, financial engineering, and how companies and projects progress.
*Illustrative imageResearch on Probability Theory Itself
The lab also studies the mathematical properties of probability theory and stochastic process theory themselves, which are needed to understand uncertain phenomena.
MembersFaculty
The members of Toyoizumi Lab consist of faculty and students.As of 2026
- ProfessorHiroshi Toyoizumi
VoicesStudent voices
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Ogita LabSchool of Fundamental Science and Engineering, Department of Applied MathematicsNumerical analysis and verified numerical computationThe 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: “SocialNetworkAnalysis” Martin Grandjean / CC BY-SA 4.0 (cropped)
- Probabilistic Modeling of Familiar Phenomena: “Network visualisation incorporating sentiment analysis of the subreddit 'skeptic' from Reddit” Siobhán Grayson / CC BY-SA 4.0 (cropped)
- Research on Probability Theory Itself: “Wiener process 3d” Sullivan.t.j / CC BY-SA 3.0 (cropped)
- Related lab (Shimizu Lab): “Wiener process 3d” Sullivan.t.j / CC BY-SA 3.0 (cropped)
- Related lab (Ohmoto Lab): “Ripples dispersing sunlight into underwater rainbows in Brofjorden” W.carter / CC BY-SA 4.0 (cropped)
- Related lab (Maruno Lab): “Soliton hydro” Christophe.Finot et Kamal HAMMANI / CC BY-SA 2.5 (cropped)
- Related lab (Ogita Lab): “U.s.-kilogram-masses” National Institute of Standards and Technology / Public domain (cropped)
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