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Discrete surface theory for optimal mass transportation in porous materials

Planned Research

Project AreaDiscrete Geometric Analysis for Materials Design
Project/Area Number 17H06465
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) 楯 辰哉  東北大学, 理学研究科, 教授 (00317299)
Project Period (FY) 2017-06-30 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥52,130,000 (Direct Cost: ¥40,100,000、Indirect Cost: ¥12,030,000)
Fiscal Year 2021: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2020: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2019: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2018: ¥11,700,000 (Direct Cost: ¥9,000,000、Indirect Cost: ¥2,700,000)
Fiscal Year 2017: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Keywords微分幾何学 / 離散幾何学 / 極小曲面 / 極小局面
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, both of the "forward problems" predicting materials properties from their structure and the "inverse problems" suggesting reasonable structures from desired properties are approached by developing such a framework cooperating with materials scientists. It was shown that mathematical findings on "curved surface" in the world of atoms and molecules work also for predicting and understanding the structures and properties of real materials such as nano carbon. A novel approach for design of the next generation materials was successfully proposed.

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。数学を用いて複雑な構造が持つ本質的な情報をデータ化し、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の道すじを示せたことが、本研究成果の社会的意義である。また、具体例を考察することで「特異点を排除するのではなく、むしろ活用する工夫をする」などの発想の転換が数学の側に誘起されたことが学術的意義の例として挙げられる。

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

    (105 results)

All 2022 2021 2020 2019 2018 2017 2016 Other

All Int'l Joint Research (12 results) Journal Article (23 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 22 results,  Open Access: 8 results) Presentation (65 results) (of which Int'l Joint Research: 29 results,  Invited: 43 results) Remarks (1 results) Funded Workshop (4 results)

  • [Int'l Joint Research] ボン大学/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] シドニー大学(オーストラリア)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ボン大学/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] シドニー大学(オーストラリア)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] ボン大学/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] シドニー大学(オーストラリア)

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

    • Related Report
      2018 Annual Research Report
  • [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] Maximal diameter theorem for directed graphs of positive Ricci curvature2022

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

      Communications in Analysis and Geometry

      Volume: -

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Regularity and Stability of Invariant Measures for Diffusion Processes under Synthetic Lower Ricci Curvature Bounds2022

    • Author(s)
      K. Suzuki
    • Journal Title

      Ann. Sc. Norm. Super

      Volume: - Pages: 745-808

    • DOI

      10.2422/2036-2145.201911_001

    • 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] 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] 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] Virasoro action on the Q-functions2021

    • Author(s)
      K.Aokage, E.Shinkawa and H.-F.Yamada
    • Journal Title

      Symmetry Integrability and Geometry: Methods and Applications (SIGMA)

      Volume: 17(089)

    • DOI

      10.3842/sigma.2021.089

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On continuity of drifts of the mapping class group2021

    • Author(s)
      Hidetoshi Masai
    • Journal Title

      Math. Res. Lett.

      Volume: 28(3)

    • Related Report
      2021 Annual Research Report
  • [Journal Article] Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces2021

    • Author(s)
      L. Dello Schiavo, K. Suzuki
    • Journal Title

      J. Funct. Anal.

      Volume: 281 (11) Issue: 11 Pages: 109234-109234

    • DOI

      10.1016/j.jfa.2021.109234

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sobolev-to-Lipschitz property on QCD-spaces and applications2021

    • Author(s)
      L. Dello Schiavo, K. Suzuki
    • Journal Title

      Math. Ann.

      Volume: 18 Issue: 3-4 Pages: 1815-1832

    • DOI

      10.1007/s00208-021-02331-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
      2020 Annual Research Report
    • Peer Reviewed
  • [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] 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] Eigenvalues, absolute continuity and localizations for periodic unitary transition operators2019

    • Author(s)
      Tate Tatsuya
    • Journal Title

      Infinite Dimensional Analysis, Quantum Probability and Related Topics

      Volume: 22 Issue: 02 Pages: 1950011-1950011

    • DOI

      10.1142/s0219025719500115

    • 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] 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] Convergence of non-symmetric diffusion processes on RCD spaces2018

    • Author(s)
      Suzuki Kohei
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 57 Issue: 5

    • DOI

      10.1007/s00526-018-1398-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Up and down Grover walks on simplicial complexes2018

    • Author(s)
      Luo Xin、Tate Tatsuya
    • Journal Title

      Linear algebra and its applications

      Volume: 545 Pages: 174-206

    • DOI

      10.1016/j.laa.2018.01.036

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Eigenvalues of Quantum Walks of Grover and Fourier Types2018

    • Author(s)
      Komatsu Takashi、Tate Tatsuya
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: - Issue: 4 Pages: 1293-1318

    • DOI

      10.1007/s00041-018-9630-6

    • 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
  • [Journal Article] A discrete surface theory2017

    • Author(s)
      Motoko Kotani, Hisashi Naito, Toshiaki Omori
    • Journal Title

      Computer Aided Geometric Design

      Volume: 58 Pages: 24-54

    • DOI

      10.1016/j.cagd.2017.09.002

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Mathematical Analysis of Tilt Boundaries and STEM Observations2016

    • Author(s)
      井上和俊, 斎藤光浩, 陳春林, 小谷元子, 幾原雄一
    • Journal Title

      Materia Japan

      Volume: 55 Issue: 12 Pages: 582-582

    • DOI

      10.2320/materia.55.582

    • NAID

      130005170220

    • ISSN
      1340-2625, 1884-5843
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [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] Symmetry and stability of anisotropic double crystals2022

    • Author(s)
      Eriko Shinkawa
    • Organizer
      RIMS Review Seminar Symmetry and Stability in Differential Geometry of Surfaces
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / 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] Spectral properties of magnetic Laplacian on a catenoid2021

    • Author(s)
      T.Tate
    • Organizer
      International Conference on Discrete Geometric Analysis for Materials Design
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Variational Problems in Geometry and the applications2021

    • Author(s)
      Eriko Shinkawa
    • Organizer
      AIMR Teatime
    • Related Report
      2021 Annual Research Report
  • [Presentation] The geometry of the anisotropic surface and the applications2021

    • Author(s)
      Eriko Shinkawa
    • Organizer
      AIMR数学連携グループオンラインセミナー
    • Related Report
      2021 Annual Research Report
  • [Presentation] 変分法・対称性を用いた幾何学的特徴づけ2021

    • Author(s)
      新川恵理子
    • Organizer
      マス・フォア・イノベーションカフェ
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Geometry of anisotropic double crystals2021

    • Author(s)
      新川恵理子
    • Organizer
      日本応用数理学会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 変分原理に基づく離散曲面の幾何2021

    • Author(s)
      新川恵理子
    • Organizer
      サマースクール離散微分幾何チュートリアル2021
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Geometry of anisotropic double crystals2021

    • Author(s)
      Eriko Shinkawa
    • Organizer
      The 5th Symposium for The Core Research Clusters for Materials Science and Spintronics, and the 4th Symposium on International Joint Graduate Program in Materials Science
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quotients of the curve complex2021

    • Author(s)
      Hidetoshi Masai
    • Organizer
      Geometry of discrete groups and hyperbolic spaces
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] タイヒミュラー空間のホロ境界2021

    • Author(s)
      Hidetoshi Masai
    • Organizer
      トポロジーシンポジウム
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Lin--Lu--Yau型リッチ曲率が下に有界な有向グラフの幾何解析について2021

    • Author(s)
      小澤龍ノ介
    • Organizer
      日本数学会2021年度秋季総合分科会幾何学分科会特別講演
    • Related Report
      2021 Annual Research Report
    • Invited
  • [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回年次会(2021)
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Complete exceptional surgeries on two-bridge links2021

    • Author(s)
      Hidetoshi Masai
    • Organizer
      The 16th East Asian Conference on Geometric Topology
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 曲線複体の商空間2021

    • Author(s)
      Hidetoshi Masai
    • Organizer
      2020年度「リーマン面・不連続群論」研究集会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 3次元多様体の(非)双曲性の計算機による判定2021

    • Author(s)
      Hidetoshi Masai
    • Organizer
      数学ソフトウェアとフリードキュメント 32
    • Related Report
      2020 Annual Research Report
    • Invited
  • [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] 球面の測度集中現象と集中位相2020

    • Author(s)
      小澤龍ノ介
    • Organizer
      Real, Complex and Functional Analysis Seminar 2020
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

    • Author(s)
      小澤龍ノ介
    • Organizer
      多様体上の微分方程式
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

    • Author(s)
      小澤龍ノ介
    • Organizer
      第67回幾何学シンポジウム
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] On systoles and ortho spectrum rigidity2020

    • Author(s)
      Hidetoshi Masai
    • Organizer
      阪大トポロジーセミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Continuity of the drift of mapping class group2020

    • Author(s)
      Hidetoshi Masai
    • Organizer
      Geometric Group Theory in East Asia(GGTEA)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quotients of curve complex2020

    • Author(s)
      Hidetoshi Masai
    • Organizer
      京都大学微分トポロジーセミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Configuration Spaces over Singular Spaces2020

    • Author(s)
      K. Suzuki
    • Organizer
      研究集会「確率解析とその周辺」
    • Related Report
      2020 Annual Research Report
  • [Presentation] Non Commutative Geometry and Topological Phase2020

    • Author(s)
      小谷先生
    • 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] 測度距離空間列の射影極限とピラミッド2020

    • Author(s)
      小澤龍ノ介
    • Organizer
      リーマン幾何と幾何解析
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On systoles and ortho spectrum rigidity2020

    • Author(s)
      Hidetoshi Masai
    • Organizer
      NUS Topology and Geometry Seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] リッチ曲率が下に有界な有向グラフの幾何解析的性質2020

    • Author(s)
      小澤龍ノ介
    • Organizer
      日本数学会2020年度年会
    • 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] On the Continuity of Drifts of Mapping Class Groups2019

    • Author(s)
      Hidetoshi Masai
    • Organizer
      Geometric Topology Fair 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [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] Configuration Spaces over Metric Measure Spaces2019

    • Author(s)
      Kohei Suzuki
    • Organizer
      Japanese-German Open Conference on Stochastic Analysis 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 数理的手法による顕微画像データからの記述子生成2019

    • Author(s)
      赤木和人
    • Organizer
      日本金属学会2019年秋期講演大会
    • Related Report
      2019 Annual Research Report
  • [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] On systoles and ortho spectrum rigidity2019

    • Author(s)
      Hidetoshi Masai
    • Organizer
      Seminar on Geometry
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On rigidity of length-related spectra2019

    • Author(s)
      Hidetoshi Masai
    • Organizer
      The 6th Tokyo Tech - Uppsala University Joint Symposium
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Configuration Spaces Over Metric Measure Spaces2019

    • Author(s)
      Kohei Suzuki
    • Organizer
      Heat Kernels, Stochastic Processes and Functional Inequalities
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topological Data Analysis of Amorphous Carbon at High-Temperature2019

    • Author(s)
      Kazuto Akagi
    • Organizer
      MRM 2019, Symposium B-3: Mathematical Materials Science
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for 3- and 4-valent graphs2019

    • Author(s)
      Toshiaki Omori, Hisashi Naito, Tatsuya Tate
    • Organizer
      MRM 2019, Symposium B-3: Mathematical Materials Science
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [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] Materials research in the digitalized society2019

    • Author(s)
      Motoko Kotani
    • Organizer
      World Premier Research in Japan Symposium
    • Related Report
      2018 Annual Research Report
  • [Presentation] Topological data analysis and materials characterization2019

    • Author(s)
      Kazuto Akagi
    • Organizer
      The 2nd Symposium for World Leading Research Centers
    • 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] Convergence of Diffusion Processes on Metric Measure Spaces Under Lower Ricci Curvature Bound2018

    • Author(s)
      Kohei Suzuki
    • Organizer
      The 40th Conference on Stochastic Processes and their Applications - SPA 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of Invariant Measures Under Synthetic Lower Ricci Curvature Bounds2018

    • Author(s)
      Kohei Suzuki
    • Organizer
      9th International conference on Stochastic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [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] 写像類群上のランダムウォークのドリフトの連続性について2018

    • Author(s)
      正井 秀俊
    • Organizer
      東工大トポロジーセミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] On continuity of drifts of the mapping class group2018

    • Author(s)
      正井 秀俊
    • Organizer
      トポロジー火曜セミナー(東京大学)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Topological entropy of random walks on the mapping class group2018

    • Author(s)
      正井 秀俊
    • Organizer
      2018 Seoul-Tokyo Conference - Geometry and Topology -
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [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] Mathematical challenges for materials design2018

    • Author(s)
      Motoko Kotani
    • Organizer
      Total Energy and Force Methods 2018 Workshop
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] パーシステントホモロジーを用いた物質構造解析2018

    • Author(s)
      赤木和人
    • Organizer
      顕微ナノ材料科学研究会/日本表面科学会 合同シンポジウム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Quantum walks defined by periodic unitary transition operators2017

    • Author(s)
      Tatsuya Tate
    • Organizer
      GEOQUANT 2017 conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical Challenge to Understanding of Material2017

    • Author(s)
      Motoko Kotani
    • Organizer
      International Conference on Research and Education in Mathematics 2017 (ICREM8)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 単体複体から派生するグローバーウォーク2017

    • Author(s)
      楯 辰哉
    • Organizer
      第 5 回 Yokohama Workshop on Quantum Walks
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 数学から材料科学へのアプローチ2017

    • Author(s)
      小谷元子
    • Organizer
      シンポジウム「高分子未来サミット」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Mathematical challenge for materials science2017

    • Author(s)
      Motoko Kotani
    • Organizer
      2017 Dasan Conference, Mathematical Challenges and Industrial Problem Solving
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [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
  • [Funded Workshop] Workshop "Discrete Geometric Analysis and its Applications"2022

    • Related Report
      2021 Annual Research Report
  • [Funded Workshop] MRM2019, 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] Workshop on "Random Matrices and Related Topics"2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] AIMR Workshop on Pure and Applied Mathematics2019

    • Related Report
      2017 Annual Research Report

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

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