NAKAMURA Akane

写真a

Affiliation

Faculty of Science Department of Mathematics

External Link

From Graduate School 【 display / non-display

  • The University of Tokyo   Graduate School, Division of Mathematical Sciences   Doctor's Course   Completed

    - 2015.03

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    Country:Japan

Studying abroad experiences 【 display / non-display

  • 2015.08 - 2016.03   Sydney大学   Postdoctoral Research Associate

 

Papers 【 display / non-display

  • 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

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems Reviewed International journal

    Akane Nakamura, Eric Rains

    International Mathematics Research Notices   2020.02

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Oxford Academic Journals  

    DOI: 10.1093/imrn/rnaa037

    arXiv

  • The Painlevé divisors of the autonomous 4-dimensional Painlevé-type equations Reviewed

    Akane Nakamura

    2020

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    Language:English   Publishing type:Research paper (scientific journal)  

  • 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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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.5802/aif.3260

    arXiv

  • Degeneration scheme of 4-dimensional Painlevé-type equations Reviewed

    H. Kawakami, H. Sakai

    MSJ Memoir   37   25 - 111   2018

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    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.

    arXiv

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Scientific Research Funds Acquisition Results 【 display / non-display

  • 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