KANKI, Masataka |
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Faculty, Department/Institute
- Faculty of Engineering Science Department of Mathematics
Academic status (qualification)
- Associate Professor Apr. 1,2020
Undergraduate Degrees・University
- The University of Tokyo Faculty of Science2009 Graduated
Graduate Degrees・University
- The University of Tokyo Master's Degree Program 2011 Completed
- The University of Tokyo Doctor's Degree Program 2013 Completed
Academic Degrees
- Ph.D in Mathematical Sciences Sep. 2013 The University of Tokyo
Research fields
Research fields | keyword |
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Global analysis |
Research topics
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research duration | 2017 ~ 2020 |
Research Programs | Grant-in-Aid for Scientific Research |
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Research Topics Overview |
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Study theme state | |
research duration | 2015 ~ 2016 |
Research Programs | Grant-in-Aid for Scientific Research |
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Research Topics Overview |
research topic | |
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Study theme state | |
research duration | 2014 ~ 2014 |
Research Programs | Grant-in-Aid for Scientific Research |
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Research Topics Overview |
research topic | |
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Study theme state | |
research duration | 2012 ~ 2013 |
Research Programs | Grant-in-Aid for Scientific Research |
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Research Topics Overview |
Research Career
- JSPS PD, Faculty of Science, Rikkyo University 2014/4~2015年/3
- Project Research Associate, Graduate School of Mathematical Sciences, University of Tokyo 2015/4~2016年/3
- Assistant Professor, Faculty of Engineering Science, Kansai University 2016/4~2020年/3
- Associate Professor, Faculty of Engineering Science, Kansai University
Academic Associations
所属学会・団体名 | 役職名 (役職在任期間) |
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Japan Society for Industrial and Applied Mathematics |
Research Publications
No. | Type of publication | Date of publication (Date of presentation) | Title | Type of research result | Jointly authored or single authored | Publisher and journal name | Volume number |
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1 | Papers1 | 2011/3~2011,03,00,,, | Conserved quantities and generalized solutions of the ultra discrete KdV equation | Academic Journal | Co-authored | J. Phys. A: Math. Theor | 44, 145202 |
2 | Papers1 | 2011/12~2011,12,00,,, | The generalized periodic discrete ultradiscrete KdV equation and its background solutions | Academic Journal | Single-Author | J. Math. Sci. Univ. Tokyo | 18(3), 269--298 |
3 | Papers1 | 2012/7~2012,07,00,,, | Soliton Solutions of a Generalized Discrete KdV Equation | Academic Journal | Co-authored | J. Phys. Soc. Jpn. | 81, 084002 |
4 | Papers1 | 2012/8~2012,08,00,,, | Discrete Painleve II equation over finite fields | Academic Journal | International coauthorship | J. Phys. A: Math. Theor. | 45, 342001 |
5 | Papers1 | 2012/8~2012,08,00,,, | Discrete integrable equations over finite fields | Academic Journal | Co-authored | Symmetry, Integrability and Geometry: Methods and Applications | 8, 054 |
6 | Papers1 | 2013/8~2013,08,00,,, | Discrete Painleve equations and discrete KdV equation over finite fields | Academic Journal | Co-authored | RIMS Kokyuroku Bessatsu | B41, 125--145 |
7 | Papers1 | 2013/9~2013,09,00,,, | Integrability of discrete equations modulo a prime | Academic Journal | Single-Author | Symmetry, Integrability and Geometry: Methods and Applications | 9, 056 |
8 | Papers1 | 2013/11~2013,11,00,,, | The space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fields | Academic Journal | Co-authored | J. Nonlin. Math. Phys. | 20 Supplement 1, 101-109 |
9 | Papers1 | 2014/1~2014,01,00,,, | Singularities of the discrete KdV equation and the Laurent property | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 47, 065201 |
10 | Papers1 | 2014/11~2014,11,00,,, | Irreducibility and co-primeness as an integrability criterion for discrete equations | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 47, 465204 |
11 | Papers1 | 2015/2~2015,02,00,,, | Integrability criterion in terms of coprime property for the discrete Toda equation | Academic Journal | Co-authored | J. Math. Phys. | 56, 022706 |
12 | Papers1 | 2015/2~2015,02,00,,, | The redemption of singularity confinement | Academic Journal | International coauthorship | J. Phys. A: Math. Theor. | 48, 11FT02 |
13 | Papers1 | 2015/8~2015,08,00,,, | Algebraic entropy of an extended Hietarinta-Viallet equation | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 48, 355202 |
14 | Papers1 | 2016/2~2016,02,00,,, | Factors affecting dilation force in balloon dilation of esophageal strictures: an experiment using an artificial stricture model | Academic Journal | Co-authored | Surg. Endos. | 30, 4315--4320 |
15 | Papers1 | 2016/5~2016,05,00,,, | Singularity confinement and chaos in two-dimensional discrete systems | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 49, 23LT01, 1--9 |
16 | Papers1 | 2016/7~2016,07,00,,, | Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields | Academic Journal | Co-authored | Nonliear Theory and Its Applications, IEICE | 7, 338--353 |
17 | Papers1 | 2017/1~2017,01,00,,, | Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation | Academic Journal | Co-authored | J. Math. Phys. | 58, 012702 |
18 | Papers1 | 2017/7~2017,07,00,,, | Continuous, discrete and ultradiscrete Painleve equations | Other | International coauthorship | CRM Series in Mathematical Physics | 1--41 |
19 | Papers1 | 2018/2~2018,02,00,,, | A two dimensional lattice equation as an extension of the Heideman-Hogan recurrence | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 51, 125203 |
20 | Papers1 | 2018/6~2018,06,00,,, | On the Coprimeness Property of Discrete Systems without the Irreducibility Condition | Academic Journal | Co-authored | Symmetry, Integrability and Geometry: Methods and Applications | 14, 065, 1--17 |
21 | Papers1 | 2018/7~2018,07,00,,, | Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation --investigation into their extended Laurent properties-- | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 51, 355202 |
22 | Papers1 | 2018/8~2018,08,00,,, | Toda type equations over multi-dimensional lattices | Academic Journal | Co-authored | J. Phys. A: Math. Theor. | 51, 364002 |
23 | Papers1 | 2020/4~2020,04,00,,, | Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type | In-house publication | Co-authored | RIMS Kokyuroku Bessatsu | B78 pp121--153 |
24 | Papers1 | 2021/10~2021,10,00,,, | Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice | Academic Journal | Co-author | J. Math. Phys. | 62, 102701 |
PapersUnrefereedIn-house publicationSingle-Author2011/3~
PapersConserved quantities and generalized solutions of the ultra discrete KdV equationIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor44, 1452022011/3~arXiv: 1012.4061
PapersThe generalized periodic discrete ultradiscrete KdV equation and its background solutionsIn refereedAcademic JournalSingle-AuthorKANKI,MasatakaJ. Math. Sci. Univ. Tokyo18(3), 269--2982011/12~arXiv: 1104.4445
PapersIn refereedIn-house publicationCo-author;;2012/3~
PapersSoliton Solutions of a Generalized Discrete KdV EquationIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiJ. Phys. Soc. Jpn.81, 0840022012/7~arXiv: 1202.4123
PapersDiscrete Painleve II equation over finite fieldsIn refereedAcademic JournalInternational coauthorshipKANKI,Masataka;MADA,Jun;TAMIZHMANI,K,M;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor.45, 3420012012/8~arXiv: 1206.4456
PapersDiscrete integrable equations over finite fieldsIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiSymmetry, Integrability and Geometry: Methods and Applications8, 0542012/8~arXiv: 1201.5429
PapersDiscrete Painleve equations and discrete KdV equation over finite fieldsIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiRIMS Kokyuroku BessatsuB41, 125--1452013/8~arXiv: 1304.5039,
Conference: ``The breadth and depth of nonlinear discrete integrable systems''
PapersIntegrability of discrete equations modulo a primeIn refereedAcademic JournalSingle-AuthorKANKI,MasatakaSymmetry, Integrability and Geometry: Methods and Applications9, 0562013/9~arXiv: 1209.1715
PapersThe space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fieldsIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiJ. Nonlin. Math. Phys.20 Supplement 1, 101-1092013/11~arXiv: 1209.0223
PapersSingularities of the discrete KdV equation and the Laurent propertyIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor.47, 0652012014/1~arXiv: 1311.0060
PapersIrreducibility and co-primeness as an integrability criterion for discrete equationsIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;MASE,Takafumi;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor.47, 4652042014/11~arXiv: 1405.2229
PapersIntegrability criterion in terms of coprime property for the discrete Toda equationIn refereedAcademic JournalCo-authoredKANKI,Masataka;MADA,Jun;TOKIHIRO,TetsujiJ. Math. Phys.56, 0227062015/2~arXiv: 1412.1167
PapersThe redemption of singularity confinementIn refereedAcademic JournalInternational coauthorshipRAMANI,Alfred;GRAMMATICOS,Basil;WILLOX,Ralph;MASE,Takafumi;KANKI,MasatakaJ. Phys. A: Math. Theor.48, 11FT022015/2~arXiv: 1412.5686
PapersAlgebraic entropy of an extended Hietarinta-Viallet equationIn refereedAcademic JournalCo-authoredKANKI,Masataka;MASE,Takafumi;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor.48, 3552022015/8~arXiv: 1502.02415
PapersFactors affecting dilation force in balloon dilation of esophageal strictures: an experiment using an artificial stricture modelIn refereedAcademic JournalCo-authoredNISHIKAWA,Y.;HIGUCHI,H.;KIKUCHI,O.;EZOE,Y.;AOYAMA,I.;YAMADA,A.;KANKI,M.;NOMURA,S.;NOMURA,M.Surg. Endos.30, 4315--43202016/2~
PapersSingularity confinement and chaos in two-dimensional discrete systemsIn refereedAcademic JournalCo-authoredKANKI,Masataka;MASE,Takafumi;TOKIHIRO,TetsujiJ. Phys. A: Math. Theor.49, 23LT01, 1--92016/5~
PapersGraphs emerging from the solutions to the periodic discrete Toda equation over finite fieldsIn refereedAcademic JournalCo-authoredKANKI,Masataka;TAKAHASHI,Yuuki;TOKIHIRO,TetsujiNonliear Theory and Its Applications, IEICE7, 338--3532016/7~
PapersCoprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equationIn refereedAcademic JournalCo-authoredKAMIYA, R.;KANKI, M.;MASE, T.;TOKIHIRO, T.J. Math. Phys.58, 0127022017/1~
PapersContinuous, discrete and ultradiscrete Painleve equationsIn refereedOtherInternational coauthorshipNAKAZONO,Nobutaka;SHI,Yang;KANKI,MasatakaCRM Series in Mathematical Physics1--412017/7~Review article in "Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016"
PapersA two dimensional lattice equation as an extension of the Heideman-Hogan recurrenceIn refereedAcademic JournalCo-authoredKAMIYA, R.;KANKI, M.;MASE, T.;TOKIHIRO, T.J. Phys. A: Math. Theor.51, 1252032018/2~
PapersUnrefereedIn-house publicationCo-authored;;2018/4~
PapersOn the Coprimeness Property of Discrete Systems without the Irreducibility ConditionIn refereedAcademic JournalCo-authoredKANKI,Masataka;MASE,Takafumi;TOKIHIRO,TetsujiSymmetry, Integrability and Geometry: Methods and Applications14, 065, 1--172018/6~
PapersNonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation --investigation into their extended Laurent properties--In refereedAcademic JournalCo-authoredKAMIYA, R.;KANKI, M.;MASE, T.;TOKIHIRO, T.J. Phys. A: Math. Theor.51, 3552022018/7~
PapersToda type equations over multi-dimensional latticesIn refereedAcademic JournalCo-authoredKAMIYA, R.;KANKI, M.;MASE, T.;OKUBO, N.;TOKIHIRO, T.J. Phys. A: Math. Theor.51, 3640022018/8~
Chapter or SectionUnrefereedOtherCo-authored chapterKANKI,Masataka2019/8~
PapersAlgebraic entropy of a multi-term recurrence of the Hietarinta-Viallet typeIn refereedIn-house publicationCo-authoredKAMIYA, R.;KANKI, M.;MASE, T.;TOKIHIRO, T.RIMS Kokyuroku BessatsuB78 pp121--1532020/4~
PapersCoprimeness-preserving discrete KdV type equation on an arbitrary dimensional latticeIn refereedAcademic JournalCo-authorKAMIYA, R.;KANKI, M.;MASE, T.;TOKIHIRO, T.J. Math. Phys.62, 1027012021/10~
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