Limit theorems for stationary nonequilibrium states
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- Tsunoda Kenkichi
- Principal Investigator
- 九州大学
About this project
- Japan Grant Number
- JP18K13426
- Funding Program
- Grants-in-Aid for Scientific Research
- Funding organization
- Japan Society for the Promotion of Science
- Project/Area Number
- 18K13426
- Research Category
- Grant-in-Aid for Early-Career Scientists
- Allocation Type
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- Multi-year Fund
- Review Section / Research Field
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- Basic Section 12010:Basic analysis-related
- Research Institution
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- Kyushu University
- Osaka University
- Project Period (FY)
- 2018-04-01 〜 2023-03-31
- Project Status
- Completed
- Budget Amount*help
- 4,160,000 Yen (Direct Cost: 3,200,000 Yen Indirect Cost: 960,000 Yen)
Research Abstract
I studied a scaling limit for a lattice gas. Especially, I studied a hydrodynamic limit and problems related to a large deviation principle. I obtained results on law of large numbers for a stationary state of an exclusion process with slow boundary, derivation of the mean curvature flow from a Glauber-Kawasaki dynamics, derivation of the Burgers equation from a weakly asymmetric exclusion process and phase transition in mixing times for a Glauber-Kawasaki dynamics.
Keywords
Details 詳細情報について
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- CRID
- 1040000782003401088
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- Text Lang
- ja
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- Data Source
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- KAKEN