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Probing theoretical models of dark energy from latest observations

Research Project

Project/Area Number 24540286
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTokyo University of Science

Principal Investigator

TSUJIKAWA Shinji  東京理科大学, 理学部, 教授 (30318802)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords暗黒エネルギー / 修正重力理論 / 宇宙背景輻射 / 宇宙の大規模構造 / 暗黒物質 / インフレーション / 重力波 / ダークエネルギー / 宇宙の加速膨張 / スカラーテンソル理論 / 宇宙論的摂動 / スカラー場 / ヴァインシュタイン機構 / 密度揺らぎ / 再加熱 / クインテッセンス / 非ガウス性
Outline of Final Research Achievements

From the observations of supernovae it is known that the present Universe is accelerating, but the origin of cosmic acceleration has not been identified yet. To reveal the origin of dark energy, I constructed a general theoretical framework for dealing with dark energy models in modified gravitational theories. In such a general scheme I studied the cosmic expansion history, the evolution of density perturbations, and the gravitational couplings in the solar system, which is vey useful to distinguish between theoretical models of dark energy. In addition, we placed constraints on each dark energy model from the observations of supernovae, cosmic microwave background, and large-scale structures.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (61 results)

All 2016 2015 2014 2013 2012 Other

All Journal Article (29 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 29 results,  Acknowledgement Compliant: 11 results,  Open Access: 7 results) Presentation (25 results) (of which Int'l Joint Research: 7 results,  Invited: 22 results) Book (4 results) Remarks (2 results) Funded Workshop (1 results)

  • [Journal Article] Cosmology with a successful Vainshtein screening in theories beyond Horndeski2016

    • Author(s)
      Ryotaro Kase, Shinji Tsujikawa, Antonio De Felice
    • Journal Title

      Physical Review D

      Volume: 93 Issue: 2 Pages: 024007-024007

    • DOI

      10.1103/physrevd.93.024007

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Conical singularities and the Vainshtein screening in full GLPV theories2016

    • Author(s)
      Ryotaro Kase, Shinji Tsujikawa, Antonio De Felice
    • Journal Title

      JCAP

      Volume: 1603 Issue: 03 Pages: 003-003

    • DOI

      10.1088/1475-7516/2016/03/003

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Observational signatures of the theories beyond Horndeski2015

    • Author(s)
      Antonio De Felice, Kazuya Koyama, Shinji Tsujikawa
    • Journal Title

      Journal of Cosmology and Astroparticle Physics

      Volume: 1505, 058 Issue: 05 Pages: 1-27

    • DOI

      10.1088/1475-7516/2015/05/058

    • NAID

      120005672580

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Possibility of realizing weak gravity in redshift space distortion measurements2015

    • Author(s)
      Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 92, 044029 Issue: 4 Pages: 1-16

    • DOI

      10.1103/physrevd.92.044029

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations2015

    • Author(s)
      Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 92 Issue: 6 Pages: 064047-064047

    • DOI

      10.1103/physrevd.92.064047

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Existence and disappearance of conical singularities in Gleyzes-Langlois-Piazza-Vernizzi theories2015

    • Author(s)
      Antonio De Felice, Ryotaro Kase, Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 92 Issue: 12 Pages: 124060-124060

    • DOI

      10.1103/physrevd.92.124060

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Cosmological perturbations and observational constraints on nonlocal massive gravity2014

    • Author(s)
      Savvas Nesseris and Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 90, 024070 Issue: 2 Pages: 1-14

    • DOI

      10.1103/physrevd.90.024070

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Cosmological Scaling Solutions for Multiple Scalar Fields2014

    • Author(s)
      Chiba, Takeshi and De Felice, Antonio and Tsujikawa, Shinji
    • Journal Title

      Phys. Rev.

      Volume: D 90 Issue: 2 Pages: 023516-023516

    • DOI

      10.1103/physrevd.90.023516

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Implications of the B-mode Polarization Measurement for Direct Detection of Inflationary Gravitational Waves2014

    • Author(s)
      Sachiko Kuroyanagi, Shinji Tsujikawa, Takeshi Chiba, Naoshi Sugiyama
    • Journal Title

      Physical Review D

      Volume: 90, 063513 Issue: 6 Pages: 1-14

    • DOI

      10.1103/physrevd.90.063513

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Cosmology in generalized Horndeski theories with second-order equations of motion2014

    • Author(s)
      Ryotaro Kase and Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 90 Issue: 4 Pages: 1-15

    • DOI

      10.1103/physrevd.90.044073

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Effective field theory of modified gravity on the spherically symmetric background: Leading order dynamics and the odd-type perturbations2014

    • Author(s)
      Ryotaro Kase, L. A. Gergely and Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 90 Issue: 12 Pages: 1-21

    • DOI

      10.1103/physrevd.90.124019

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Effective field theory approach to modified gravity including Horndeski theory and Horava-Lifshitz gravity2014

    • Author(s)
      Ryotaro Kase and Shinji Tsujikawa
    • Journal Title

      International Journal of Modern Physics D

      Volume: 23 Issue: 13 Pages: 1-41

    • DOI

      10.1142/s0218271814430081

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Bosonic Coherent Motions in the Universe2014

    • Author(s)
      Jihn E. Kim, Yannis Semertzidis, Shinji Tsujikawa
    • Journal Title

      Frontiers in Physics

      Volume: 30 Pages: 1-15

    • DOI

      10.3389/fphy.2014.00060

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Super-renormalizable or finite completion of the Starobinsky theory2014

    • Author(s)
      F. Briscese, L. Modesto and S. Tsujikawa
    • Journal Title

      Phys. Rev.

      Volume: 89 Issue: 2

    • DOI

      10.1103/physrevd.89.024029

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Strong Planck constraints on braneworld and non-commutative inflation2014

    • Author(s)
      Gianluca Calcagni, Sachiko Kuroyanagi, Junko Ohashi, Shinji Tsujikawa
    • Journal Title

      Journal of Cosmology and Astroparticle Physics

      Volume: 1403 Issue: 03 Pages: 52-52

    • DOI

      10.1088/1475-7516/2014/03/052

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effective field theory of modified gravity with two scalar fields: dark energy and dark matter2014

    • Author(s)
      L. A. Gergely and S. Tsujikawa
    • Journal Title

      Phys. Rev. D

      Volume: 89 Issue: 6 Pages: 064059-064059

    • DOI

      10.1103/physrevd.89.064059

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Anisotropic Non-Gaussianity from a Two-Form Field2013

    • Author(s)
      J.Ohashi, J.Soda and S.Tsujikawa
    • Journal Title

      Phys. Rev. D

      Volume: 87 Issue: 8 Pages: 83520-83520

    • DOI

      10.1103/physrevd.87.083520

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Planck constraints on single-field inflation2013

    • Author(s)
      Shinji Tsujikawa, Junko Ohashi, Sachiko Kuroyanagi, Antonio De Felice
    • Journal Title

      Physical Review D

      Volume: 88 Issue: 2 Pages: 23529-23529

    • DOI

      10.1103/physrevd.88.023529

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quintessence: A Review2013

    • Author(s)
      Shinji Tsujikawa
    • Journal Title

      Classical and Quantum Gravity

      Volume: 30, 214003 Issue: 21 Pages: 214003-214003

    • DOI

      10.1088/0264-9381/30/21/214003

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Screening the fifth force in the Horndeski's most general scalar-tensor theories2013

    • Author(s)
      Ryotaro Kase and Shinji Tsujikawa
    • Journal Title

      Journal of Cosmology and Astroparticle Physics

      Volume: 1308,054 Issue: 08 Pages: 1-36

    • DOI

      10.1088/1475-7516/2013/08/054

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-local massive gravity2013

    • Author(s)
      L. Modesto and S. Tsujikawa
    • Journal Title

      Phys. Lett. B

      Volume: 727 Issue: 1-3 Pages: 48-56

    • DOI

      10.1016/j.physletb.2013.10.037

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Observational signatures of anisotropic inflationary models2013

    • Author(s)
      Junko Ohashi, Jiro Soda, Shinji Tsujikawa
    • Journal Title

      Journal of Cosmology and Astroparticle Physics

      Volume: 1312 Issue: 12 Pages: 9-9

    • DOI

      10.1088/1475-7516/2013/12/009

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Anisotropic power-law k-inflation2013

    • Author(s)
      Junko Ohashi, Jiro Soda, Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 88 Issue: 10 Pages: 103517-103517

    • DOI

      10.1103/physrevd.88.103517

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories2013

    • Author(s)
      Antonio De Felice, Shinji Tsujikawa
    • Journal Title

      JCAP

      Volume: 1303, 030 Issue: 03 Pages: 1-38

    • DOI

      10.1088/1475-7516/2013/03/030

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Testing for dynamical dark energy models with redshift-space distortions2013

    • Author(s)
      Shinji Tsujikawa, Antonio De Felice, Jailson Alcaniz
    • Journal Title

      JCAP

      Volume: 1301, 030 Issue: 01 Pages: 1-22

    • DOI

      10.1088/1475-7516/2013/01/030

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Observational Constraints on Quintessence: Thawing, Tracker, and Scaling models2013

    • Author(s)
      Takeshi Chiba, Shinji Tsujikawa, Antonio De Felice
    • Journal Title

      Physical Review D

      Volume: 87, 083505 Pages: 1-12

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Observational tests of inflation with a field coupling to gravity2012

    • Author(s)
      Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 85 Issue: 8 Pages: 83518-83518

    • DOI

      10.1103/physrevd.85.083518

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Consistency of inflation and preheating in F(R) supergravity2012

    • Author(s)
      Sergei Ketov, Shinji Tsujikawa
    • Journal Title

      Physical Review D

      Volume: 86, 023529 Issue: 2 Pages: 1-12

    • DOI

      10.1103/physrevd.86.023529

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Potential-driven Galileon inflation2012

    • Author(s)
      Junko Ohashi, Shinji Tsujikawa
    • Journal Title

      Journal of Cosmology and Astroparticle Physics (JCAP)

      Volume: 1210 Issue: 10 Pages: 35-35

    • DOI

      10.1088/1475-7516/2012/10/035

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Inflationary gravitational waves in the effective field theory of modified gravity2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Second LeCosPA International Symposium
    • Place of Presentation
      台北 (台湾)
    • Year and Date
      2015-12-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Current status of dark energy and beyond2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      NCTS Annual Theory Meeting 2015: Particles, Cosmology, and Strings
    • Place of Presentation
      新竹 (台湾)
    • Year and Date
      2015-12-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effective field theory approach to modified gravity with applications to inflation and dark energy2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Early Universe, Cosmology and Fundamental Physics
    • Place of Presentation
      北京 (ベトナム)
    • Year and Date
      2015-09-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effective field theory approach to modified gravity with applications to inflation and dark energy2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Hot Topics in General Relativity and Gravitation
    • Place of Presentation
      クイノン (ベトナム)
    • Year and Date
      2015-08-13
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Possibility of realizing weak gravity in red-shift space distortions2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      2-nd APCTP-TUS workshop on Dark Energy
    • Place of Presentation
      東京理科大学 (東京都新宿区)
    • Year and Date
      2015-08-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Effective field theory of cosmological perturbations with application to dark energy2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Fourteenth Marcel Grossmann Meeting
    • Place of Presentation
      ローマ (イタリア)
    • Year and Date
      2015-07-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Effective field theory approach to modified gravity with applications to inflation and dark energy2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Annual Meeting of the Chinese Physical Society, Division of Gravitation and Relativistic Astrophysics
    • Place of Presentation
      杭州 (中国)
    • Year and Date
      2015-06-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories2015

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Testing Gravity 2015 Workshop
    • Place of Presentation
      Vancouver, Cancada
    • Year and Date
      2015-01-17
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 宇宙論の最近のトピックス: インフレーション, 宇宙背景輻射, ダークエネルギー2014

    • Author(s)
      辻川 信二
    • Organizer
      第 37 回素粒子論グループ四国セミナー
    • Place of Presentation
      新居浜高専
    • Year and Date
      2014-12-13 – 2014-12-14
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 暗黒エネルギーと修正重力理論2014

    • Author(s)
      辻川 信二
    • Organizer
      第4回 日大理工・益川塾連携 素粒子物理学シンポジウム
    • Place of Presentation
      京都
    • Year and Date
      2014-11-08
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A unified description of modified gravitational theories2014

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      2-nd i-Link Workshop Macro-from-Micro: Quantum Gravity and Cosmology
    • Place of Presentation
      Madrid (Spain)
    • Year and Date
      2014-09-15
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] The effective field theory of modified gravity and the Horndeski theory2014

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Quantum Cosmology
    • Place of Presentation
      Bad Honnef (Germany)
    • Year and Date
      2014-07-28
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Effective field theory of modified gravity with two scalar fields: dark energy and dark matter2014

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      1st APCTP-TUS workshop on Dark Energy
    • Place of Presentation
      浦項 (韓国)
    • Year and Date
      2014-06-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Planck constraints on single-field inflation2013

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      1-st i-Link Workshop Macro-from-Micro: Quantum Gravity and Cosmology
    • Place of Presentation
      マドリード (スペイン)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Cosmological Perturbations in the Most General Scalar-Tensor Theories2013

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Seventh Aegean summer school, Beyond Einstein's theory of gravity
    • Place of Presentation
      パロス島 (ギリシャ)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Discrimination between dark energy models from observations2013

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      1st APCTP-NBIA joint workshop on Cosmology and Astroparticle Physics
    • Place of Presentation
      浦項 (韓国)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 暗黒エネルギーと修正重力理論2013

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      卓越した大学院拠点形成支援事業 シンポジウム
    • Place of Presentation
      早稲田大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Inflationary non-Gaussianities in the most general scalar-tensor theories2013

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Kavli IPMU focus week on gravity and Lorentz violations
    • Place of Presentation
      Kashiwa
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Selection of dark energy models from recent observations2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      13-th Marcel Grossman meeting
    • Place of Presentation
      Stockholm
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] プランクによるインフレーション模型の選別2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      背景宇宙で拓く宇宙創世の物理
    • Place of Presentation
      KEK
    • Related Report
      2012 Research-status Report
  • [Presentation] Discrimination between theoretical models of dark energy from observations2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      ICFPC
    • Place of Presentation
      Weihai
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Discrimination between theoretical models of dark energy from observations2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Brazilian national meeting on particle and fields
    • Place of Presentation
      Passa Quatro
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Discrimination between dark energy models from observations2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Multiverse and Fundamental Cosmology
    • Place of Presentation
      Szchecin
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Constraints on dark energy models from recent observations2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      PPC2012
    • Place of Presentation
      KIAS
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Testing for dark energy models from distance measurements and redshift space distortions2012

    • Author(s)
      Shinji Tsujikawa
    • Organizer
      Thai-Japanese workshop
    • Place of Presentation
      Pataya
    • Related Report
      2012 Research-status Report
  • [Book] 相対性理論が描く宇宙の未来2015

    • Author(s)
      辻川信二
    • Total Pages
      216
    • Publisher
      シーアンドアール研究所
    • Related Report
      2015 Annual Research Report
  • [Book] Modifications of Einstein's Theory of Gravity at Large Distances2015

    • Author(s)
      Shinji Tsujikawa, Eleftherios Papantonopoulos
    • Total Pages
      426
    • Publisher
      Springer
    • Related Report
      2014 Research-status Report
  • [Book] SUPERサイエンス 相対性理論が描く宇宙の未来2015

    • Author(s)
      辻川 信二
    • Total Pages
      216
    • Publisher
      シーアンドアール研究所
    • Related Report
      2014 Research-status Report
  • [Book] 現代宇宙論講義2013

    • Author(s)
      辻川 信二
    • Total Pages
      208
    • Publisher
      サイエンス社
    • Related Report
      2013 Research-status Report
  • [Remarks] 東京理科大学 研究者情報データベース

    • URL

      http://www.sut.ac.jp/ridai/doc/ji/RIJIA01User.php?act=nam&kin=pap&kbn=g&diu=5826

    • Related Report
      2015 Annual Research Report
  • [Remarks] 業績リスト

    • URL

      http://www.rs.kagu.tus.ac.jp/shinji/pubnew.html

    • Related Report
      2013 Research-status Report
  • [Funded Workshop] 2nd APCTP-TUS workshop on Dark Energy2015

    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-08-03
    • Related Report
      2015 Annual Research Report

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Published: 2013-05-31   Modified: 2019-07-29  

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