Affiliation |
Faculty of Science Department of Mathematics |
External Link |
NAKAMURA Akane
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From Graduate School 【 display / non-display 】
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The University of Tokyo Graduate School, Division of Mathematical Sciences Doctor's Course Completed
- 2015.03
Country:Japan
Studying abroad experiences 【 display / non-display 】
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2015.08 - 2016.03 Sydney大学 Postdoctoral Research Associate
Papers 【 display / non-display 】
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Discrete Hamiltonians of discrete Painlevé equations Reviewed
Takafumi Mase, Akane Nakamura, Hidetaka Sakai
Annales de la Faculté des sciences de Toulouse : Mathématiques 6 ( 29 ) 1251 - 1264 2021.04
Language:English Publishing type:Research paper (scientific journal)
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Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems Reviewed International journal
Akane Nakamura, Eric Rains
International Mathematics Research Notices 2020.02
Language:English Publishing type:Research paper (scientific journal) Publisher:Oxford Academic Journals
DOI: 10.1093/imrn/rnaa037
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The Painlevé divisors of the autonomous 4-dimensional Painlevé-type equations Reviewed
Akane Nakamura
2020
Language:English Publishing type:Research paper (scientific journal)
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Autonomous limit of 4-dimensional Painlevé-type equations and degeneration of curves of genus two Reviewed International journal
Annales de l'Institut Fourier 69 ( 2 ) 845 - 893 2019
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Degeneration scheme of 4-dimensional Painlevé-type equations Reviewed
H. Kawakami, H. Sakai
MSJ Memoir 37 25 - 111 2018
Language:English Publishing type:Research paper (scientific journal)
Four 4-dimensional Painlev\'e-type equations are obtained by isomonodromic deformation of Fuchsian equations: they are the Garnier system in two variables, the Fuji-Suzuki system, the Sasano system, and the sixth matrix Painlev\'e system. Degenerating these four source equations, we systematically obtained other 4-dimensional Painlev\'e-type equations. If we only consider Painlev\'e-type equations whose associated linear equations are of unramified type, there are 22 types of 4-dimensional Painlev\'e-type equations: 9 of them are partial differential equations, 13 of them are ordinary differential equations. Some well-known equations such as Noumi-Yamada systems are included in this list. They are written as Hamiltonian systems, and their Hamiltonians are neatly written using Hamiltonians of the classical Painlev\'e equations.
Scientific Research Funds Acquisition Results 【 display / non-display 】
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高次元パンルヴェ型方程式の非線型・線型対応に関する研究
2020.04 - 2023.04
科学研究費補助金 若手研究
中村あかね