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Discrete Geometric Analysis for materials design

Administrative Group

Project AreaDiscrete Geometric Analysis for Materials Design
Project/Area Number 17H06460
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionTohoku University

Principal Investigator

Kotani Motoko  東北大学, 材料科学高等研究所, 教授 (50230024)

Co-Investigator(Kenkyū-buntansha) 大西 立顕  立教大学, 人工知能科学研究科, 教授 (10376387)
内藤 久資  名古屋大学, 多元数理科学研究科, 准教授 (40211411)
高見 誠一  名古屋大学, 工学研究科, 教授 (40311550)
一木 輝久  名古屋大学, 未来社会創造機構, 特任准教授 (40711156)
古田 幹雄  東京大学, 大学院数理科学研究科, 教授 (50181459)
青柳 岳司  国立研究開発法人産業技術総合研究所, 材料・化学領域, 総括研究主幹 (50786241)
下川 航也  埼玉大学, 理工学研究科, 教授 (60312633)
橋本 幸士  京都大学, 理学研究科, 教授 (80345074)
Project Period (FY) 2017-06-30 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥272,220,000 (Direct Cost: ¥209,400,000、Indirect Cost: ¥62,820,000)
Fiscal Year 2021: ¥54,470,000 (Direct Cost: ¥41,900,000、Indirect Cost: ¥12,570,000)
Fiscal Year 2020: ¥54,470,000 (Direct Cost: ¥41,900,000、Indirect Cost: ¥12,570,000)
Fiscal Year 2019: ¥54,470,000 (Direct Cost: ¥41,900,000、Indirect Cost: ¥12,570,000)
Fiscal Year 2018: ¥54,470,000 (Direct Cost: ¥41,900,000、Indirect Cost: ¥12,570,000)
Fiscal Year 2017: ¥54,340,000 (Direct Cost: ¥41,800,000、Indirect Cost: ¥12,540,000)
Keywords離散幾何学 / トポロジー / 材料 / 階層ネットワーク / 材料設計
Outline of Final Research Achievements

"Discrete geometric analysis" is a mathematical framework, which enables us to describe and analyze the correlation between microscopic structures and macroscopic properties of various materials. In this project, we supported the development of such a framework to solve the "forward problems" predicting materials properties from their structure and the "inverse problems" suggesting reasonable structures from desired properties. Especially, we introduced various approaches to promote the spontaneous interaction among "mathematics", "materials science" and "data science", and successfully contributed to proposing a novel strategy for design of the next generation materials.

Academic Significance and Societal Importance of the Research Achievements

近年、データと人工知能(AI)を用いた物質材料の探索が盛んになっているが、ミクロな構造とマクロな性質との関係を調べ、求める性質を実現するための構造を予測する逆問題を解くことは簡単ではない。複雑な構造が持つ本質的な情報を見つけてミクロとマクロの関係を階層横断的に理解して逆問題を解くために、「数学」「材料の理論」「材料の実験」「データ科学」の連携を促して道すじを示すことを支援したことが、本課題の社会的意義である。また、これらの連携に主体的に関与することで、特に若手研究者が従来にない視点での研究テーマを見出せたことに、学術的意義があると言える。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (207 results)

All 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (18 results) Journal Article (53 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 52 results,  Open Access: 21 results) Presentation (117 results) (of which Int'l Joint Research: 41 results,  Invited: 52 results) Book (1 results) Remarks (6 results) Funded Workshop (12 results)

  • [Int'l Joint Research] UCサンタバーバラ大学(米国)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] フリードリヒ・アレクサンダー大学エアランゲン=ニュルンベルク/ベルリン自由大学(ドイツ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ケンブリッジ大学(英国)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] オーストラリア国立大学(オーストラリア)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] UCサンタバーバラ大学(米国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] フリードリヒ・アレクサンダー大学エアランゲン=ニュルンベルク/ベルリン自由大学(ドイツ)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] ケンブリッジ大学(英国)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] オーストラリア国立大学(オーストラリア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] UCサンタバーバラ大学(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] フリードリヒ・アレクサンダー大学エアランゲン=ニュルンベルク/ベルリン自由大学(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] ケンブリッジ大学(英国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] オーストラリア国立大学(オーストラリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] UCサンタバーバラ大学(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] フリードリヒ・アレクサンダー大学エアランゲン=ニュルンベルク/ベルリン自由大学(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ケンブリッジ大学(英国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] オーストラリア国立大学(オーストラリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] フリードリヒ・アレクサンダー大学エアランゲン=ニュルンベルク/ベルリン自由大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ジョージア工科大学(米国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition2022

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 150(4) Issue: 4 Pages: 1767-1777

    • DOI

      10.1090/proc/15768

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound2022

    • Author(s)
      R. Ozawa, Y. Sakurai, T. Yamada,
    • Journal Title

      Potential Analysis

      Volume: - Issue: 3 Pages: 955-969

    • DOI

      10.1007/s11118-022-09994-9

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Construction of continuum from a discrete surface by its iterated subdivisions2022

    • Author(s)
      M. Kotani, H. Naito, C. Tao
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 74(2)

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 3D arrangement of atomic polyhedra in tilt grain boundaries2021

    • Author(s)
      K. Inoue, K. Kawahara, M. Saito, M. Kotani, and Y. Ikuhara
    • Journal Title

      Acta Materialia

      Volume: 202 Pages: 266-76

    • DOI

      10.1016/j.actamat.2020.10.017

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Deep learning-based estimation of Flory-Huggins parameter of A-B block copolymers from cross-sectional images of phase-separated structures2021

    • Author(s)
      K. Hagita, T. Aoyagi, Y. Abe, S. Genda, T. Honda
    • Journal Title

      Sci Rep

      Volume: 11(1) Issue: 1 Pages: 12322-12322

    • DOI

      10.1038/s41598-021-91761-8

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Geometric model of 3D curved graphene with chemical dopants2021

    • Author(s)
      Dechant Andreas、Ohto Tatsuhiko、Ito Yoshikazu、Makarova Marina V.、Kawabe Yusuke、Agari Tatsufumi、Kumai Hikaru、Takahashi Yasufumi、Naito Hisashi、Kotani Motoko
    • Journal Title

      Carbon

      Volume: 182 Pages: 223-232

    • DOI

      10.1016/j.carbon.2021.06.004

    • NAID

      120007180740

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Unveiling quasiparticle dynamics of topological insulators through Bayesian modelling2021

    • Author(s)
      S. Tokuda, S. Souma, K. Segawa, T. Takahashi, Y. Ando, T. Nakanishi, T. Sato
    • Journal Title

      Commun. Phys.

      Volume: 4 Issue: 1 Pages: 170-170

    • DOI

      10.1038/s42005-021-00673-6

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Visualization of judgment regions in convolutional neural network for X-ray diffraction and scattering images of aliphatic polyesters2021

    • Author(s)
      Yoshifumi Amamoto, Hiroteru Kikutake, Ken Kojio, Atsushi Takahara, Kei Terayama
    • Journal Title

      Polym. J

      Volume: 53 Issue: 11 Pages: 1269-1279

    • DOI

      10.1038/s41428-021-00531-w

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Change of Weighted Network Structure of Elastomer during Uniaxial Elongation2021

    • Author(s)
      ITO Mariko I.、AMAMOTO Yoshifumi、OHNISHI Takaaki,
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 20 Issue: 3 Pages: 89-91

    • DOI

      10.2477/jccj.2021-0040

    • NAID

      130008122395

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Random Forest Analysis of X-ray Diffraction and Scattering Data on Crystalline Polymer2021

    • Author(s)
      TAKAHASHI Kazuki K.、AMAMOTO Yoshifumi、KIKUTAKE Hiroteru、ITO Mariko I.、TAKAHARA Atsushi、 OHNISHI Takaaki
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 20 Issue: 3 Pages: 103-105

    • DOI

      10.2477/jccj.2021-0042

    • NAID

      130008122394

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximal diameter theorem for directed graphs of positive Ricci curvature2021

    • Author(s)
      R. Ozawa, Y. Sakurai, T. Yamada
    • Journal Title

      Comm. Anal. Geom.

      Volume: -

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] One dimensional weighted Ricci curvature and displacement convexity of entropies2021

    • Author(s)
      Yohei Sakurai
    • Journal Title

      Math. Nachr

      Volume: 294(10) Issue: 10 Pages: 1950-1967

    • DOI

      10.1002/mana.201900143

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rigidity phenomena on lower N-weighted Ricci curvature bounds with ε-range for non-symmetric Laplacian2021

    • Author(s)
      Kazuhiro Kuwae and Yohei Sakurai
    • Journal Title

      Illinois J. Math.

      Volume: 65(4) Issue: 4 Pages: 847-868

    • DOI

      10.1215/00192082-9619586

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      J. Geom. Anal.

      Volume: 31(12) Issue: 12 Pages: 11899-11930

    • DOI

      10.1007/s12220-021-00705-1

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 60(5) Issue: 5

    • DOI

      10.1007/s00526-021-02079-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Prediction of Stress-Strain Curve of Block Copolymers Using Transfer Learning of 3D Convolutional Neural Network.2021

    • Author(s)
      川口裕靖, 伊藤真利子, 青柳岳司, 大西立顕
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 20 Issue: 3 Pages: 100-102

    • DOI

      10.2477/jccj.2021-0037

    • NAID

      130008122399

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Arrangement of polyhedral units for [0001]-symmetrical tilt grain boundaries in zinc oxide2021

    • Author(s)
      Kazutoshi Inoue, Ji-Young Roh, Kazuaki Kawahara, Mitsuhiro Saito, Motoko Kotani, Yuichi Ikuhara
    • Journal Title

      Acta Materialia

      Volume: 212 Pages: 116864-116864

    • DOI

      10.1016/j.actamat.2021.116864

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic compactness in topological spaces2021

    • Author(s)
      Junya Nishiguchi
    • Journal Title

      Topology and its Applications

      Volume: 287 Pages: 107451-107451

    • DOI

      10.1016/j.topol.2020.107451

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 高分子の高次構造特徴量ー物性相関としてのサイバーポリマー2021

    • Author(s)
      天本義史, 菊武裕晃, 大西立顕
    • Journal Title

      高分子

      Volume: 70(3) Pages: 133-134

    • Related Report
      2020 Annual Research Report
  • [Journal Article] Largest Connected Component and Free Energy of Microphase Separated Structures.2020

    • Author(s)
      KAWAGUCHI Hironobu、ITO Mariko I.、YAMANAKA Sadato、AOYAGI Takeshi、OHNISHI Takaaki
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 19 Issue: 4 Pages: 136-138

    • DOI

      10.2477/jccj.2021-0001

    • NAID

      130008021858

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stochastic Time Evolution, Information Geometry, and the Cramer-Rao Bound2020

    • Author(s)
      Sosuke Ito, Andreas Dechant
    • Journal Title

      Physical Review X

      Volume: 10(2) Issue: 2 Pages: 021056-021056

    • DOI

      10.1103/physrevx.10.021056

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2020

    • Author(s)
      Ozawa Ryunosuke, Sakurai Yohei, Yamada Taiki
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 59 Issue: 4 Pages: 142-177

    • DOI

      10.1007/s00526-020-01809-2

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Upper bounds for higher-order Poincare constants2020

    • Author(s)
      Funano Kei, Sakurai Yohei
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 未定 Issue: 6 Pages: 1-1

    • DOI

      10.1090/tran/8049

    • NAID

      40022530922

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Atiyah-Patodi-Singer Index and Domain-Wall Fermion Dirac Operators2020

    • Author(s)
      H. Fukaya, M. Furuta, S. Matsuo, T. Onogi, S. Yamaguchi and M. Yamashita
    • Journal Title

      Communicatios in Mathematical Physics

      Volume: 380 Issue: 3 Pages: 1295-1311

    • DOI

      10.1007/s00220-020-03806-0

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Topological data analysis for microdomain patterns of block copolymer2020

    • Author(s)
      Y.Mototake, Yamanaka, T. Aoyagi, T. Ohnishi, K. Fukumizu.
    • Journal Title

      Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications (NOLTA2020)

      Volume: - Pages: 517-520

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Complex Network Representation of the Structure-Mechanical Property Relationships in Elastomers with Heterogeneous Connectivity2020

    • Author(s)
      Amamoto Yoshifumi、Kojio Ken、Takahara Atsushi、Masubuchi Yuichi、Ohnishi Takaaki
    • Journal Title

      Patterns

      Volume: 1 Issue: 8 Pages: 100135-100135

    • DOI

      10.1016/j.patter.2020.100135

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dirac Fermion Kinetics in 3D Curved Graphene2020

    • Author(s)
      Yoichi Tanabe, Yoshikazu Ito, Katsuaki Sugawara, Mikito Koshino, Shojiro Kimura, Tomoya Naito, Isaac Johnson, Takashi Takahashi, Mingwei Chen
    • Journal Title

      Advanced Materials

      Volume: 32 Issue: 48 Pages: 2005838-2005838

    • DOI

      10.1002/adma.202005838

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Free Energy Estimation of Metastable Structures of Block Copolymers using Topological Data Analysis2020

    • Author(s)
      本武 陽一、山中 貞人、青柳 岳司、大西 立顕、福水 健次
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 19 Issue: 4 Pages: 169-171

    • DOI

      10.2477/jccj.2021-0009

    • NAID

      130008031793

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantification of microphase separated structures from the viewpoint of multifractal2020

    • Author(s)
      M.I. Ito, S. Yamanaka, T. Aoyagi, T. Ohnishi
    • Journal Title

      Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications (NOLTA2020)

      Volume: 1 Pages: 480-483

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recoverably and destructively deformed domain structures in elongation process of thermoplastic elastomer analyzed by graph theory2020

    • Author(s)
      H. Morita, A. Miyamoto, M. Kotani
    • Journal Title

      Polymer

      Volume: 188 Pages: 122098-122098

    • DOI

      10.1016/j.polymer.2019.122098

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A nitrogen-doped nanotube molecule with atom vacancy defects2020

    • Author(s)
      K. Ikemoto, S. Yang, H. Naito, M. Kotani, S. Sato, H. Sato
    • Journal Title

      Nature Communications

      Volume: 11, 1807 Issue: 1 Pages: 1807-1807

    • DOI

      10.1038/s41467-020-15662-6

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Fluctuation窶途esponse inequality out of equilibrium2020

    • Author(s)
      Dechant Andreas, Sasa Shin-ichi
    • Journal Title

      PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES

      Volume: 117 Issue: 12 Pages: 6430-6436

    • DOI

      10.1073/pnas.1918386117

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Continuous-Time Random Walk for a Particle in a Periodic Potential2019

    • Author(s)
      Andreas Dechant, Farina Kindermann, Artur Widera, Eric Lutz
    • Journal Title

      Physical Review Letters

      Volume: 123(7) Issue: 7 Pages: 70602-70602

    • DOI

      10.1103/physrevlett.123.070602

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] $C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$2019

    • Author(s)
      Junya Nishiguchi
    • Journal Title

      Electronic Journal of Qualitative Theory of Differential Equations

      Volume: 91 Issue: 91 Pages: 1-32

    • DOI

      10.14232/ejqtde.2019.1.91

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Second-order topological phases protected by chiral symmetry2019

    • Author(s)
      Okugawa Ryo、Hayashi Shin、Nakanishi Takeshi
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 23 Pages: 205302-205302

    • DOI

      10.1103/physrevb.100.235302

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A metal-peptide capsule by multiple ring threading2019

    • Author(s)
      Sawada Tomohisa、Inomata Yuuki、Shimokawa Koya、Fujita Makoto
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 5687-5687

    • DOI

      10.1038/s41467-019-13594-4

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Synthesis and Unimolecular ESA-CF Polymer Cyclization of Zwitterionic Telechelic Precursors2019

    • Author(s)
      Konomoto, T.; Nakamura, K.; Yamamoto, T.; *Tezuka, Y.
    • Journal Title

      Macromolecules

      Volume: 52 Issue: 23 Pages: 9208-9219

    • DOI

      10.1021/acs.macromol.9b01793

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Programmed Polymer Folding with Periodically Positioned Tetrafunctional Telechelic Precursors by Cyclic Ammonium Salt Units as Nodal Points2019

    • Author(s)
      Kyoda Kohei、Yamamoto Takuya、Tezuka Yasuyuki
    • Journal Title

      Journal of the American Chemical Society

      Volume: 141 Issue: 18 Pages: 7526-7536

    • DOI

      10.1021/jacs.9b02459

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification2019

    • Author(s)
      Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, Mayuko Yamashita
    • Journal Title

      PoS LATTICE2019

      Volume: 61 Pages: 061-061

    • DOI

      10.22323/1.363.0061

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Eigenvalues of the Laplacian on the Goldberg-Coxeter Constructions for 3- and 4-valent Graphs2019

    • Author(s)
      Omori Toshiaki、Naito Hisashi、Tate Tatsuya
    • Journal Title

      The Electronic Journal of Combinatorics

      Volume: 26 Issue: 3

    • DOI

      10.37236/8481

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Multifractal Analysis of Microphase Separated Structure in Block Copolymers2019

    • Author(s)
      ITO Mariko I.、YAMANAKA Sadato、AOYAGI Takeshi、OHNISHI Takaaki
    • Journal Title

      Journal of Computer Chemistry, Japan

      Volume: 18 Issue: 5 Pages: 214-216

    • DOI

      10.2477/jccj.2019-0043

    • ISSN
      1347-1767, 1347-3824
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Chemical dopants on edge of holey graphene accelerate electrochemical hydrogen evolution reaction2019

    • Author(s)
      A. Kumatani, C. Miura, H. Kuramochi, T. Ohto, M. Wakisaka, Y. Nagata, H. Ida, Y. Takahashi, K. Hu, S. Jeong, J. Fujita, T. Matsue, Y. Ito,
    • Journal Title

      Adv. Sci.

      Volume: - Issue: 10 Pages: 1900119-1900119

    • DOI

      10.1002/advs.201900119

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Metal-peptide rings form highly entangled topologically inequivalent frameworks with the same ring- and crossing-numbers2019

    • Author(s)
      T. Sawada, A. Saito, K. Tamiya, K. Shimokawa, Y. Hisada, M. Fujita
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 921-921

    • DOI

      10.1038/s41467-019-08879-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Neighborhood equivalence for multibranched surfaces in 3-manifolds2019

    • Author(s)
      Ishihara Kai、Koda Yuya、Ozawa Makoto、Shimokawa Koya
    • Journal Title

      Topology and its Applications

      Volume: 257 Pages: 11-21

    • DOI

      10.1016/j.topol.2019.02.005

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries2019

    • Author(s)
      Okugawa Ryo、Yokoyama Takehito
    • Journal Title

      Physical Review B

      Volume: 99 Issue: 4

    • DOI

      10.1103/physrevb.99.041202

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound2019

    • Author(s)
      Y. Sakurai
    • Journal Title

      Canad. J. Math.

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold2019

    • Author(s)
      Y. Sakurai. Kei Funano
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimating the free-space diffusion coefficient of trapped particles2019

    • Author(s)
      A. Dechant
    • Journal Title

      Epl

      Volume: 125 Issue: 2 Pages: 20010-20010

    • DOI

      10.1209/0295-5075/125/20010

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multidimensional thermodynamic uncertainty relations2019

    • Author(s)
      A. Dechant
    • Journal Title

      Journal of Physics a-Mathematical and Theoretical

      Volume: 52 Issue: 3 Pages: 035001-035001

    • DOI

      10.1088/1751-8121/aaf3ff

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Phase Separation Dynamics of a Binary Fluid with a Closed-Loop Phase Diagram2019

    • Author(s)
      M. Toda, S. Kajimoto, S. Toyouchi, T. Kawakatsu, Y. Akama, M. Kotani, H. Fukumura
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: 88 Issue: 2 Pages: 024007-024007

    • DOI

      10.7566/jpsj.88.024007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Edelstein effects in one-atom-layer Tl-Pb compound2018

    • Author(s)
      Yuki Shiomi, Keita Yamamoto, Ryosuke Nakanishi, Tomonori Nakamura, Satoru Ichinokura, Ryota Akiyama, Shuji Hasegawa, and Eiji Saitoh
    • Journal Title

      Applied Physics Letters

      Volume: 113 Issue: 5 Pages: 52401-52401

    • DOI

      10.1063/1.5040546

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Current fluctuations and transport efficiency for general Langevin systems2018

    • Author(s)
      A. Dechant, S. Sasa
    • Journal Title

      Journal of Statistical Mechanics-Theory and Experiment

      Volume: - Issue: 6 Pages: 063209-063209

    • DOI

      10.1088/1742-5468/aac91a

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time-Resolved Structured Illumination Microscopy for Phase Separation Dynamics of Water and 2-Butoxyethanol Mixtures: Interpretation of "Early Stage" Involving Micelle-Like Structures2018

    • Author(s)
      S. Toyouchi, S. Kajimoto, M. Toda, H. Fukumura, T. Kawakatsu, Y. Akama, M. Kotani
    • Journal Title

      J. Phys. Chem. B

      Volume: 122 Issue: 51 Pages: 12375-12385

    • DOI

      10.1021/acs.jpcb.8b10244

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Mathematics, a Common Language of Science in History and in the Digital Era2022

    • Author(s)
      Motoko Kotani
    • Organizer
      Breaking barriers for gender equity through research
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Various curvature conditions on weighted Ricci curvature and geometric analysis2022

    • Author(s)
      Yohei Sakurai
    • Organizer
      Submanifold Geometry and Lie Group Actions
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow2022

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry and Probability
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Classification of grain boundaries in Euclidean space2022

    • Author(s)
      Kazutoshi Inoue
    • Organizer
      Discrete Geometric Analysis and its Applications
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 粒界三次元構造の記述について2022

    • Author(s)
      井上和俊
    • Organizer
      第3回数学と諸分野の連携にむけた若手数学者交流会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 粒界三次元構造の記述について2022

    • Author(s)
      井上和俊
    • Organizer
      ワークショップ「物性と離散幾何学」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] DX社会の基盤技術~数理を活用した産学連携について2021

    • Author(s)
      小谷元子
    • Organizer
      数理活用産学連携イニシアティブ
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 離散幾何解析とその応用2021

    • Author(s)
      小谷元子
    • Organizer
      2021年度 日本数学会 秋季総合分科会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 離散幾何解析と物質科学への応用2021

    • Author(s)
      小谷元子
    • Organizer
      The World of Mathematical Physics II
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      The 6th China-Japan Geometry Conference
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal diameter theorem for directed graphs of positive Ricci curvature2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      The 21st International Conference on Discrete Geometric Analysis for Material Design
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      Kagurazaka Differential Geometry Seminar
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Characterization of lower curvature bounds2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry Seminar, Saitama University
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Arrangement of atomic polyhedra in tilt grain boundaries2021

    • Author(s)
      Kazutoshi Inoue
    • Organizer
      International Conference on Discrete Geometric Analysis for Materials Design
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arrangement of polyhedral units for tilt grain boundaries2021

    • Author(s)
      Kazutoshi Inoue
    • Organizer
      Materials Research Meeting 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 結晶粒界の多面体配列と階層性2021

    • Author(s)
      井上和俊
    • Organizer
      山形大学離散数理セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Change of network structure of elastomers under elongation2021

    • Author(s)
      Mariko Ito, Yoshifumi Amamoto, Takaaki Ohnishi
    • Organizer
      Conference on Complex Systems 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] エラストマーの一軸伸長における架橋点間距離の変化のネットワーク構造依存性2021

    • Author(s)
      伊藤真利子, 天本義史, 大西立顕
    • Organizer
      日本コンピュータ化学会2021春季大会
    • Related Report
      2021 Annual Research Report
  • [Presentation] ネットワーク科学を用いた高分子材料の構造の定量化2021

    • Author(s)
      大西立顕
    • Organizer
      第15回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 化学グラフ理論による物質解析2021

    • Author(s)
      辻雄太
    • Organizer
      第15回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 離散幾何学・情報科学に基づく高分子のメゾ構造-物性相関2021

    • Author(s)
      天本義史
    • Organizer
      第15回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 第一原理計算と離散曲面論を用いたグラフェンナノ構造体の触媒活性制御2021

    • Author(s)
      大戸達彦
    • Organizer
      第15回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 材料探索のための離散幾何解析学2021

    • Author(s)
      小谷元子
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 高次トポロジカル物質と超弦理論2021

    • Author(s)
      橋本幸士
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] 幾何学における有限次元近似と指数定理2021

    • Author(s)
      古田幹雄
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] 共連続構造と3次元トポロジー2021

    • Author(s)
      下川航也
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] 粗視化シミュレーションと深層学習による熱可塑性エラストマー弾性特性の高速予測2021

    • Author(s)
      青柳岳司
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] 離散曲面論とその材料科学への応用2021

    • Author(s)
      内藤久資
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] セラミックスナノコンポジット極小曲面薄膜の合成2021

    • Author(s)
      髙見誠一
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] トポロジーの道具としての深層学習2021

    • Author(s)
      一木輝久
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] 高分子材料のネットワーク解析2021

    • Author(s)
      大西立顕
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Related Report
      2020 Annual Research Report
  • [Presentation] ブロック共重合体の自由エネルギーに関わるミクロ相分離構造の定量化2021

    • Author(s)
      川口裕靖, 伊藤真利子, 山中貞人, 青柳岳司, 大西立顕
    • Organizer
      日本物理学会第76回年次大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Recent development of geometric analysis on weighted Ricci curvature2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      MSJ Spring Meeting 2021
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Recent development of geometric analysis on weighted Ricci curvature2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      Riemannian Geometry and Geometric Analysis
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Recent development of geometric analysis on weighted Ricci curvature,2021

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry Seminar, Kyushu University
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] X線散乱・回折データの機械学習による結晶性高分子の物性に関わる階層構造の解析2021

    • Author(s)
      髙橋数冴,天本義史,菊武裕晃,伊藤真利子,高原淳,大西立顕,
    • Organizer
      NANOSPEC2021
    • Related Report
      2020 Annual Research Report
  • [Presentation] デジタル時代の化学―数学連携2020

    • Author(s)
      小谷元子
    • Organizer
      化学工学会 第51回秋季大会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] ソフトマテリアルのネットワーク構造2020

    • Author(s)
      小谷元子
    • Organizer
      第15回TPE技術研究会公開講演会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] デジタル時代の数学・材料科学連携2020

    • Author(s)
      小谷元子
    • Organizer
      東京大学・日本電子産学連携室設立15周年記念 次世代電子顕微鏡法社会連携講座設立記念シンポジウム
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry2020

    • Author(s)
      Yohei Sakurai
    • Organizer
      The 67th Geometry Symposium
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Structure, Geometry and Doping of Curved Graphene2020

    • Author(s)
      Dechant Andreas
    • Organizer
      第14回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2020 Annual Research Report
  • [Presentation] 学習済み深層ニューラルネットワークから の 解釈可能な物理法則抽出2020

    • Author(s)
      本武 陽一
    • Organizer
      第14回 物性科学領域横断研究会 (領域合同研究会)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Topological Data Analysis of Microdomain Patterns of Block Copolymer2020

    • Author(s)
      Y. Mototake, S. Yamanaka, T. Aoyagi, T. Ohnishi, K. Fukumizu,
    • Organizer
      Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications (NOLTA2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Quantification of microphase separated structures from the viewpoint of multifractal2020

    • Author(s)
      Mariko I. Ito, Sadato Yamanaka, Takeshi Aoyagi, Takaaki Ohnishi
    • Organizer
      Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications (NOLTA2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] マルチフラクタル解析によるミクロ相分離構造の特徴づけ2020

    • Author(s)
      伊藤真利子, 山中貞人, 青柳岳司, 大西立顕
    • Organizer
      日本物理学会2020年秋季大会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Non Commutative Geometry and Topological Phase2020

    • Author(s)
      小谷元子
    • Organizer
      Indo Japan Joint Workshop on Quantum Computation & Information
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 数学でミクロとマクロをつなぐ2020

    • Author(s)
      小谷元子
    • Organizer
      第8回世界トップレベル研究拠点プログラム(WPI)サイエンスシンポジウム 数学の驚くべき力 数学が繋ぐ多様な世界
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] $C^1$-smooth dependence on initial conditions and delay: spaces of initial histories of Sobolev type, and differentiability of translation in $L^p$2020

    • Author(s)
      Junya Nishiguchi
    • Organizer
      ICMC Summer Meeting on Differential Equations -- 2020 Chapter
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2020

    • Author(s)
      Yohei Sakurai
    • Organizer
      Riemannian Geometry and Geometric Analysis, University of Tsukuba
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Construction of higher-order topological phases with chiral symmetry2020

    • Author(s)
      奥川 亮
    • Organizer
      新学術領域研究A01班会議
    • Related Report
      2019 Annual Research Report
  • [Presentation] 非エルミート性およびカイラル対称性に由来する新しいトポロジカル相2020

    • Author(s)
      奥川 亮
    • Organizer
      物性理論研究室
    • Related Report
      2019 Annual Research Report
  • [Presentation] Discrete geometric analysis for materials research2019

    • Author(s)
      Motoko KOTANI
    • Organizer
      ICCM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non commutative geometry for Topological Phase2019

    • Author(s)
      Motoko Kotani
    • Organizer
      In and around Topological Physics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] MATHEMATICAL CHALLENGES FOR MATERIALS DESIGN BASED ON DISCRETE GEOMETRIC ANALYSIS2019

    • Author(s)
      Motoko Kotani
    • Organizer
      2019 KWMS International Conference
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical challenges for materials design2019

    • Author(s)
      Motoko Kotani
    • Organizer
      Frontiers in Mathematical Science Research Workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 次世代材料探索のための数学ー材料科学連携2019

    • Author(s)
      小谷元子
    • Organizer
      SIP シンポジウム2019
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Carbon structures in two and three dimensions2019

    • Author(s)
      Andreas Dechant
    • Organizer
      MRM2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Carbon structures in two and three dimensions2019

    • Author(s)
      Andreas Dechant
    • Organizer
      Discrete geometric analysis and related topics
    • Related Report
      2019 Annual Research Report
  • [Presentation] 履歴の延長と正則性に基づく関数微分方程式の理論について2019

    • Author(s)
      西口 純矢
    • Organizer
      微分方程式の総合的研究
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Smooth dependence with respect to delay: temporal order of reaction2019

    • Author(s)
      Junya Nishiguchi
    • Organizer
      MRM2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 分岐パラメータとしての時間遅れ2019

    • Author(s)
      西口 純矢
    • Organizer
      第1回 時間遅れが誘導する現象と数理
    • Related Report
      2019 Annual Research Report
  • [Presentation] ある不連続な関数微分方程式と $L^p$ 空間における合成作用素の滑らかさとの関係2019

    • Author(s)
      西口 純矢
    • Organizer
      日本数学会2019年度秋季総合分科会 函数方程式論分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 時間遅れ滑らか依存性:時間遅れがもたらす平滑化効果と反応の時間的順序2019

    • Author(s)
      西口 純矢
    • Organizer
      日本応用数理学会2019年度年会 正会員主催OS応用力学系
    • Related Report
      2019 Annual Research Report
  • [Presentation] $C^1$-smooth dependence with respect to history in Sobolev space $W^{1,1}$ and constant delay: beyond Lipschitz continuous histories2019

    • Author(s)
      Junya Nishiguchi
    • Organizer
      11th Colloquium of the Qualitative Theory of Differential Equations
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] $C^1$-smooth dependence with respect to history in Sobolev space $W^{1, 1}$ and constant delay: beyond Lipschitz continuous histories2019

    • Author(s)
      Junya Nishiguchi
    • Organizer
      The 1st Hungary-Japan Workshop on Delay Equations and Mathematical Epidemiology
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Smooth dependence on history and delay: its connection with composition operators and temporal order of reaction2019

    • Author(s)
      Junya Nishiguchi
    • Organizer
      力学系 -新たな理論と応用に向けて-
    • Related Report
      2019 Annual Research Report
  • [Presentation] Comparison inequalities on directed graphs under a lower Ollivier Ricci curvature bound2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      Material Research Meeting, Yokohama Symposia
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry Seminar, Osaka University
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Geometric and spectral properties of directed graphs under a lower Ricci curvature bound2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry Seminar, Tohoku University
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Concentration of measure phenomena on Dirichlet eigenvalues of Laplacian2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry and Probability
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Concentration of measure phenomena on Dirichlet eigenvalues of Laplacian2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      Geometry Seminar
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] One dimensional weighted Ricci curvature and displacement convexity of entropies2019

    • Author(s)
      Yohei Sakurai
    • Organizer
      5th Summer School on "Stochastic and Geometric Analysis"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 高次トポロジカル相に関するポスター発表2019

    • Author(s)
      奥川 亮
    • Organizer
      NTTI-BEC 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] カイラル対称性に由来する高次トポロジカル相2019

    • Author(s)
      奥川 亮
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 3次元トポロジーと材料科学2019

    • Author(s)
      下川航也
    • Organizer
      第13回物性科学領域横断研究会(領域合同研究会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 格子上のハミルトニアンに対するトポロジーとコーナー状態2019

    • Author(s)
      林晋
    • Organizer
      第13回物性科学領域横断研究会(領域合同研究会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] Curved carbon networks in two and three dimensions2019

    • Author(s)
      Andreas Dechant
    • Organizer
      第13回物性科学領域横断研究会(領域合同研究会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] カイラル対称性に保護された高次トポロジカル相2019

    • Author(s)
      奥川 亮
    • Organizer
      第13回物性科学領域横断研究会(領域合同研究会)
    • Related Report
      2019 Annual Research Report
  • [Presentation] Topological corner and hinge modes in second-order topological phases protected by chiral symmetry2019

    • Author(s)
      奥川 亮
    • Organizer
      Topological Materials Science 2019(TopoMat2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Second-order topological phases realized by chiral symmetry2019

    • Author(s)
      奥川 亮
    • Organizer
      MRM2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ブロック共重合体のミクロ相分離構造に対するマルチフラクタル解析2019

    • Author(s)
      伊藤真利子, 山中貞人, 青柳岳司, 大西立顕
    • Organizer
      日本コンピュータ化学会2019年秋季年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Carbon structures and a discrete surface theory2019

    • Author(s)
      Hisashi NAITO, Toshiaki OMORI, Chen TAO and Motoko Kotani
    • Organizer
      Mathematical Materials Sciences, MRM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 低次元トポロジカル物質におけるスピン流現象2019

    • Author(s)
      塩見 雄毅
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Path statistics and thermodynamic inequalities for jump processes2019

    • Author(s)
      A. Dechant
    • Organizer
      Discrete geometry, analysis and statistics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Multidimensional thermodynamic uncertainty relations2019

    • Author(s)
      A. Dechant
    • Organizer
      74th annual meeting of the Physical Society of Japan (JPS)
    • Related Report
      2018 Annual Research Report
  • [Presentation] When one is not the same as many: non-ergodic aspects of single-particle diffusion2019

    • Author(s)
      A. Dechant
    • Organizer
      統数研-東北大 ワークショップ
    • Related Report
      2018 Annual Research Report
  • [Presentation] Topological non-Hermitian gapless phases with parity-time and parity-particle-hole symmetries2019

    • Author(s)
      奥川 亮, 横山 毅人
    • Organizer
      第4回「トポロジーが紡ぐ物質科学のフロンティア」領域研究会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Topological nodal phases in non-Hermitian systems with parity-time and parity-particle-hole symmetries2019

    • Author(s)
      Ryo Okugawa, Takehito Yokoyama
    • Organizer
      APS March Meeting 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] PTおよびCP対称性に由来したノードを持つ非エルミートトポロジカル相2019

    • Author(s)
      奥川 亮, 横山 毅人
    • Organizer
      日本物理学会 2019年春季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] One dimensional weighted Ricci curvature and displacement convexity of entropies2019

    • Author(s)
      櫻井 陽平
    • Organizer
      数学と諸分野の連携に向けた若手数学者交流会
    • Related Report
      2018 Annual Research Report
  • [Presentation] M. Belkin and P. Niyogi, Towards a theoretical foundation for Laplacian-based manifold methods2019

    • Author(s)
      櫻井 陽平
    • Organizer
      理研AIP数理解析チームセミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] Characterization of lower curvature bounds2019

    • Author(s)
      櫻井 陽平
    • Organizer
      AIMR数学連携グループセミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] Materials research in the digitalized society2019

    • Author(s)
      Motoko Kotani
    • Organizer
      World Premier Research in Japan Symposium
    • Related Report
      2018 Annual Research Report
  • [Presentation] 「物理屋でもわかる Atiyah-Patodi-Singer 指数定理」の数学的証明2019

    • Author(s)
      深谷 英則, 古田 幹雄, 松尾 信一郎, 大野木 哲也, 山口 哲, 山下 真由子
    • Organizer
      日本物理学会 第 74 回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Atiyah-Patodi-Singer index theorem and domain walls2019

    • Author(s)
      古田 幹雄
    • Organizer
      Frontiers in Lattice QCD and related topics 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] The Atiyah-Singer index theorem and domain walls2019

    • Author(s)
      Mikio Furuta
    • Organizer
      Variety and universality of bulk-edge correspondence in topological phases
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Thermal generation of spin current in transition metal trichalcogenides2018

    • Author(s)
      Y. Shiomi
    • Organizer
      One-Day Symposium on Spintronic Properties of Graphene and Related 2D Materials
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-Hermitian nodal phases with parity-time and parity-particle-hole symmetries2018

    • Author(s)
      奥川 亮, 横山 毅人
    • Organizer
      第10回非平衡系・非エルミート系の新奇量子現象
    • Related Report
      2018 Annual Research Report
  • [Presentation] ラプラシアンのDirichlet固有値に関する測度集中現象2018

    • Author(s)
      櫻井 陽平
    • Organizer
      東北大学幾何セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 世界レベルの研究拠点を作る:WPI-AIMRの活動2018

    • Author(s)
      小谷 元子
    • Organizer
      Science Japan Meeting 2018-日本の科学の未来を創る-
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 離散幾何学による物質探索への挑戦2018

    • Author(s)
      小谷 元子
    • Organizer
      物性研究所スパコン共同利用・CCMS合同研究会「計算物質科学の今と未来」
    • Related Report
      2018 Annual Research Report
  • [Presentation] A mathematical challenge to a new phase of materials science2018

    • Author(s)
      Motoko Kotani
    • Organizer
      SSDM 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 数学と諸分野・産業との連携への挑戦2018

    • Author(s)
      小谷 元子
    • Organizer
      2018 年度日本機械学会年次大会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Mathematical challenge to understand Materials structure2018

    • Author(s)
      Motoko Kotani
    • Organizer
      2018 Taiwan Mathematical Society Annual Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Project Outline: Discrete Geometric Analysis for Materials Design2018

    • Author(s)
      Motoko Kotani
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Towards topological frameworks describing interacting systems on non-compact manifolds2018

    • Author(s)
      Mikio Furuta
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Holographic Floquet Weyl semimetal2018

    • Author(s)
      Keiju Murata
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 3-dimensional topology and network analysis in soft materials2018

    • Author(s)
      Koya Shimokawa
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Computer Simulation of the Network Morphology by Microphase Separation of Block Copolymers2018

    • Author(s)
      Takeshi Aoyagi
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Analysis of phase transitions using minimal surfaces2018

    • Author(s)
      Hisashi Naito
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Challenge with mathematics to fabricate nano- and micro- structures using minimal surface2018

    • Author(s)
      Seiichi Takami
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Application of Network Science Method to Material Structure2018

    • Author(s)
      Takaaki Onishi
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Estimation of Structure-Function Correlation from Observed Materials Images2018

    • Author(s)
      Akihisa Ichiki
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fibered commensurability of random mapping classes2018

    • Author(s)
      Hidetoshi Masai
    • Organizer
      Computational Problems in Low-dimensional Topology
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discrete surface theory for trivalent graphs and its application to materials science2017

    • Author(s)
      Motoko Kotani
    • Organizer
      Geometry Workshop in Obergurgl 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 次世代物質探索のための離散幾何学 領域紹介2017

    • Author(s)
      小谷 元子
    • Organizer
      第11回 物性科学領域横断研究会(領域合同研究会)
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Topological entropy of random walks on the mapping class groups2017

    • Author(s)
      正井 秀俊
    • Organizer
      葉層構造の幾何学とその応用
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Book] 精度保証付き数値計算の基礎2018

    • Author(s)
      大石 進一 (著, 編集), 荻田 武 , 柏木 雅英, 劉 雪峰, 尾崎 克久, 山中 脩也, 高安 亮紀 , 関根 晃太 , 木村 拓馬, 市原 一裕, 正井 秀俊, 森倉 悠介, Siegfried M. Rump
    • Total Pages
      328
    • Publisher
      コロナ社
    • ISBN
      9784339028874
    • Related Report
      2018 Annual Research Report
  • [Remarks] 「次世代物質探索のための離散幾何学」ホームページ

    • URL

      https://www.math-materials.jp/

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report 2019 Annual Research Report 2018 Annual Research Report 2017 Annual Research Report
  • [Remarks] 数学を取り入れたシミュレーションで材料設計を加速

    • URL

      https://www.wpi-aimr.tohoku.ac.jp/jp/achievements/press/2021/20210707_001417.html

    • Related Report
      2021 Annual Research Report
  • [Remarks] ベイズ推定を用いた新たな電子構造の解析法を開発 トポロジカル絶縁体などを巡る数々の論争の決着へ

    • URL

      https://www.tohoku.ac.jp/japanese/2021/07/press20210728-1-Bayes.html

    • Related Report
      2021 Annual Research Report
  • [Remarks] Journal of Physics A Best Paper Prize 2020受賞

    • URL

      https://www.wpi-aimr.tohoku.ac.jp/jp/achievements/media/2020/20200819_001291.html

    • Related Report
      2020 Annual Research Report
  • [Remarks] グラフェン構造を数学的観点から設計し、その優位性を電気化学イメージングにより初めて実証

    • URL

      https://www.wpi-aimr.tohoku.ac.jp/jp/achievements/press/2019/20190404_001128.html

    • Related Report
      2019 Annual Research Report
  • [Remarks] 研究成果等の公開(藤井 修治)

    • URL

      http://www.eng.hokudai.ac.jp/labo/MOLPHY/home/sr.html

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Discrete Geometric Analysis and its Applications2022

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] GTF2021 The Geometry & Topology Behind Fabrics at Multiple Scales2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] International Conference on Discrete Geometric Analysis for Materials Design2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] Workshop "Topological phenomena in non-Hermitian and non-equilibrium systems"2020

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] PROGRESS IN THE MATHEMATICS OF TOPOLOGICAL STATES OF MATTER2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] 国際シンポジウム "Polymers and networks via topology and entanglement"2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Deep Learning and Physics 20192019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] MRM2019内Symposium B-3, Mathematical Materials Science -Mathematical Approaches for Materials Designs in the Data Driven Society-2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Polymers meet Topology2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] PROGRESS IN THE MATHEMATICS OF TOPOLOGICAL STATES OF MATTER2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 格子上の指数定理について2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ2018

    • Related Report
      2017 Annual Research Report

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Published: 2017-07-04   Modified: 2023-01-30  

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