Analysis of random phenomena and its applications from the viewpoint of determinantal point processes
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- Shirai Tomoyuki
- Principal Investigator
- 九州大学
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- 種村 秀紀
- Co-Investigator
- 慶應義塾大学
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- 香取 眞理
- Co-Investigator
- 中央大学
About this project
- Japan Grant Number
- JP18H01124
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding organization
- Japan Society for the Promotion of Science
- Project/Area Number
- 18H01124
- Research Category
- Grant-in-Aid for Scientific Research (B)
- Allocation Type
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- Single-year Grants
- Review Section / Research Field
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- Basic Section 12010:Basic analysis-related
- Research Institution
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- Kyushu University
- Project Period (FY)
- 2018-04-01 〜 2023-03-31
- Project Status
- Completed
- Budget Amount*help
- 16,770,000 Yen (Direct Cost: 12,900,000 Yen Indirect Cost: 3,870,000 Yen)
Research Abstract
A stochastic model in which the probability distribution is described by a determinant, obtained by abstracting the repulsive nature of electrons (fermions), is called a determinant point process. It is known that the structure of the determinantal point process is hidden in many problems that are seemingly unrelated to electrons. In this study, we analyze random phenomena of such various determinantal point processes, especially focusing on asymptotic behavior and limit theorems, which are central issues in probability theory, and apply them to specific problems such as wireless networks.
Keywords
Details 詳細情報について
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- CRID
- 1040282256969195520
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- Text Lang
- ja
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- Data Source
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- KAKEN
- IRDB