Discrete Geometric Analysis for Quantum Spin System

• Project/Area Number: 24244004
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Geometry
• Research Institution: Tohoku University
• Principal Investigator: Kotani Motoko 東北大学, 理学研究科, 教授 (50230024)
• Co-Investigator(Kenkyū-buntansha): 熊谷 隆 京都大学, 数理解析研究所, 教授 (90234509) ; 塩谷 隆 東北大学, 理学研究科, 教授 (90235507)
• Co-Investigator(Renkei-kenkyūsha): Obata Nobuaki 東北大学, 情報科学研究科, 教授 (10169360) ; Tate Tatsuya 東北大学, 理学研究科, 教授 (00317299) ; Miyaoka Reiko 東北大学, 高度教養教育, 学生支援機構, 総長特命教授 (70108182)
• Project Period (FY): 2012-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥45,890,000 (Direct Cost: ¥35,300,000、Indirect Cost: ¥10,590,000); Fiscal Year 2016: ¥10,270,000 (Direct Cost: ¥7,900,000、Indirect Cost: ¥2,370,000); Fiscal Year 2015: ¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000); Fiscal Year 2014: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000); Fiscal Year 2013: ¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000); Fiscal Year 2012: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
• Keywords: 幾何学 / 離散幾何学 / スペクトル解析 / スピン系

Outline of Final Research Achievements

We study mathematical framework for Quantum spin system. Physics on topological Insulator and topologically protected surface/edge state is formulated in K-theory. By using the non-commutative geometry, we generalized it to disordered systems. We also develop discrete surface theory to study the relation of microscopic structural data and macroscopic properties and apply it to carbon networks.

Research Products

• [Int'l Joint Research] Fujian Normal University(China)
• [Int'l Joint Research] Seoul National University(韓国)
• [Int'l Joint Research] University of Oxford/University of Warwick(United Kingdom)
• [Int'l Joint Research] Stanford University/University of Washington(米国)
• [Int'l Joint Research] Free University of Berlin(Germany)
• [Int'l Joint Research]
• [Int'l Joint Research] Stanford University/University of Washington(米国)
• [Int'l Joint Research] Fujian Normal University/清華大学/北京師範大学(China)
• [Int'l Joint Research] Free University of Berlin(Germany)
• [Int'l Joint Research] Seoul National University/NIMS, Korea(韓国)
• [Int'l Joint Research] University of Oxford/University of Warwick(United Kingdom)
• [Int'l Joint Research]
• [Journal Article] Up and down Grover walks on simplicial complexes (2018)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] High-dimensional metric-measure limit of Stiefel and flag manifolds (2018)
  • Author(s): Shioya Takashi、Takatsu Asuka
  • Journal Title: Mathematische Zeitschrift Volume: - Issue: 3-4 Pages: 1-35
  • DOI: 10.1007/s00209-018-2044-y
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Asymptotic expansion of the transition probability for non-symmetric random walks on crystal lattices（スペクトル・散乱理論とその周辺) (2017)
  • Author(s): Ishiwata Satoshi, Kawabi Hiroshi, Kotani Motoko
  • Journal Title: 数理解析研究所講究録 Volume: 2023 Pages: 15-28
  • Peer Reviewed
• [Journal Article] Long time asymptotics of non-symmetric random walks on crystal lattices (2017)
  • Author(s): Satoshi Ishiwata, Hiroshi Kawabi, Motoko Kotani
  • Journal Title: Journal of Functional Analysis Volume: 272 Issue: 4 Pages: 1553-1624
  • DOI: 10.1016/j.jfa.2016.11.011
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree (2017)
  • Author(s): M.T. Barlow, D.A. Croydon and T. Kumagai
  • Journal Title: Ann. Probab. Volume: 45 Issue: 1 Pages: 4-55
  • DOI: 10.1214/15-aop1030
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Analysis of Periodic Atomic Structures in Grain Boundaries by Number Theory (2017)
  • Author(s): 井上和俊、斎藤光浩、小谷元子、幾原雄一
  • Journal Title: Materia Japan Volume: 56 Issue: 10 Pages: 589-596
  • DOI: 10.2320/materia.56.589
  • NAID: 130006109914
  • ISSN: 1340-2625, 1884-5843
  • Peer Reviewed / Open Access
• [Journal Article] Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotorwith ideal quantum resonance (2017)
  • Author(s): Leo Matsuoka, Etsuo Segawa, Kenta Yuki, Norio Konno, Nobuaki Obata
  • Journal Title: Physics Lettters A381 Volume: Issue 21 Pages: 1773-1779
  • Peer Reviewed
• [Journal Article] Laws of the iterated logarithm for symmetric jump processes (2017)
  • Author(s): P. Kim, T. Kumagai and J. Wang
  • Journal Title: Bernoulli 23 Volume: no. 4A Issue: 4A Pages: 2330-2379
  • DOI: 10.3150/16-bej812
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Time-changes of stochastic processes associated with resistance forms (2017)
  • Author(s): D.A. Croydon, B.M. Hambly and T. Kumagai
  • Journal Title: Electron. J. Probab. 22 Volume: no. 82 Issue: none Pages: 1-41
  • DOI: 10.1214/17-ejp99
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Structure of <110>-tilt boundaries in cubic zirconia (2017)
  • Author(s): Kazutoshi Inoue, Bin Feng, Naoya Shibata, Motoko Kotani, Yuichi Ikuhara
  • Journal Title: Journal of Materials Science Volume: 52 Issue: 8 Pages: 4278-4287
  • DOI: 10.1007/s10853-016-0682-1
  • Peer Reviewed
• [Journal Article] A discrete surface theory (2017)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Metric measure limits of spheres and complex projective spaces (2017)
  • Author(s): Shioya Takashi
  • Journal Title: Measure theory in non-smooth spaces, Partial Differ. Equ. Meas. Theory, De Gruyter, Warsaw Volume: -- Pages: 261-287
  • DOI: 10.1515/9783110550832-009
  • ISBN: 9783110550832
  • Peer Reviewed / Open Access
• [Journal Article] Lamplighter random walks on fractals (2017)
  • Author(s): 熊谷隆、中村ちから
  • Journal Title: Journal of Theoretical Probability Volume: 印刷中 Issue: 1 Pages: 68-92
  • DOI: 10.1007/s10959-016-0718-0
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Concentration, convergence, and dissipation of spaces (2016)
  • Author(s): Shioya, Takashi
  • Journal Title: Geometry and topology of manifolds, Springer Proc. Math. Stat. Volume: 154 Pages: 299-314
  • DOI: 10.1007/978-4-431-56021-0_16
  • ISBN: 9784431560197, 9784431560210
  • Peer Reviewed
• [Journal Article] Quantum Walks in Low Dimension (2016)
  • Author(s): Tate Tatsuya
  • Journal Title: Geometric Methods in Physics, XXXIV Workshop, 2015 Volume: -- Pages: 261-278
  • DOI: 10.1007/978-3-319-31756-4_21
  • ISBN: 9783319317557, 9783319317564
  • Peer Reviewed
• [Journal Article] Stereoisomerism, Crystal Structures, and Dynamics of Belt-shaped Cyclonaphthylenes (2016)
  • Author(s): Z. Sun, T. Suenaga, P. Sarkar, S. Sato, M. Kotani, and H.Isobe
  • Journal Title: Proc. Natl. Acad. Sci. U.S.A. Volume: 113 Issue: 29 Pages: 8109-8114
  • DOI: 10.1073/pnas.1606530113
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Materials inspired by mathematics (2016)
  • Author(s): Motoko Kotani & Susumu Ikeda
  • Journal Title: Science and Technology of Advanced Materials(STAM) Volume: 17(1) Issue: 1 Pages: 253-259
  • DOI: 10.1080/14686996.2016.1180233
  • Peer Reviewed
• [Journal Article] Stereoisomerism in Nanohoops with Heterogeneous Biaryl Linkages of E/Z- and R/S-Geometries (2016)
  • Author(s): P. Sarkar, Z. Sun, T. Tokuhira, M. Kotani, S. Sato, and H.Isobe
  • Journal Title: ACS Cent. Sci. Volume: 2 Issue: 10 Pages: 740-747
  • DOI: 10.1021/acscentsci.6b00240
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Quantum probability aspects to lexicographic and strong products of graphs (2016)
  • Author(s): Nobuaki Obata
  • Journal Title: Interdiscip. Inform.Sci. Volume: 22(1) Pages: 143-146
  • NAID: 130005281205
  • Peer Reviewed / Open Access
• [Journal Article] Mathematical Analysis of Tilt Boundaries and STEM Observations (2016)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Laws of the iterated logarithm for random walks on Random Conductance Models (2016)
  • Author(s): T. Kumagai and C. Nakamura
  • Journal Title: RIMS Kokyuroku Bessatsu Volume: B59 Pages: 141-156
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Phase behavior of a binary fluid mixture of quadrupolar molecules (2016)
  • Author(s): M. Toda, S. Kajimoto, S. Toyouchi, T. Kawakatsu, Y. Akama, M. Kotani, H. Fukumura
  • Journal Title: Phys. Rev. E, Volume: 94 Issue: 5 Pages: 052601-052601
  • DOI: 10.1103/physreve.94.052601
  • Peer Reviewed
• [Journal Article] Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances (2016)
  • Author(s): R. Huang and T. Kumagai
  • Journal Title: Electron. Commun. Probab. Volume: 21 Issue: none Pages: 1-11
  • DOI: 10.1214/15-ecp4347
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Errata of "isoparametric hypersurfaces with (g,m)=(6,2)" (2016)
  • Author(s): Reiko Miyaoka
  • Journal Title: Annals of Math. Volume: 183, 3 Issue: 3 Pages: 1057-1071
  • DOI: 10.4007/annals.2016.183.3.7
  • Peer Reviewed / Open Access
• [Journal Article] Visualization of topological landscape in shear-flow dynamics of amorphous solids (2015)
  • Author(s): Takeshi Fujita, Koji Ohara, Keiji Miura, Akihiko Hirata, Motoko Kotani, Yasumasa Nishiura, Mingwei Chen
  • Journal Title: EPL (Europhysics Letters) Volume: 110 Issue: 3 Pages: 38002-38002
  • DOI: 10.1209/0295-5075/110/38002
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] The Decomposition Formula of &lang;001&rang; Symmetrical Tilt Grain Boundaries (2015)
  • Author(s): K. Inoue, M. Saito, Z. C. Wang, M. Kotani, Y. Ikuhara
  • Journal Title: MATERIALS TRANSACTIONS Volume: 56 Issue: 12 Pages: 1945-1952
  • DOI: 10.2320/matertrans.M2015277
  • NAID: 130005110139
  • ISSN: 1345-9678, 1347-5320
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A new direction in mathematics for materials science (2015)
  • Author(s): Ikeda, Susumu, Kotani, Motoko
  • Journal Title: Springer Briefs in the Mathematics of Materials Volume: vol.1 Pages: 1-86
  • Peer Reviewed
• [Journal Article] On the Periodicity of &lang;001&rang; Symmetrical Tilt Grain Boundaries (2015)
  • Author(s): K. Inoue, M. Saito, Z. C. Wang, M. Kotani, Y. Ikuhara
  • Journal Title: MATERIALS TRANSACTIONS Volume: 56 Issue: 3 Pages: 281-287
  • DOI: 10.2320/matertrans.M2014394
  • NAID: 130004825278
  • ISSN: 1345-9678, 1347-5320
  • Peer Reviewed / Open Access
• [Journal Article] Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model (2015)
  • Author(s): O. Boukhadra, T. Kumagai and P. Mathieu
  • Journal Title: J. Math. Soc. Japan Volume: 67 Issue: 4 Pages: 1413-1448
  • DOI: 10.2969/jmsj/06741413
  • NAID: 130005108951
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Estimate of observable diameter of $l_{p}$-product spaces (2015)
  • Author(s): R. Ozawa and T. Shioya
  • Journal Title: Manuscripta Math Volume: 147 Issue: 3-4 Pages: 501-509
  • DOI: 10.1007/s00229-015-0730-1
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Remarks on "the Dorfmeister--Neher theorem on isoparametric hypersurfaces'' (2015)
  • Author(s): R. Miyaoka
  • Journal Title: Osaka J. Math. Volume: 52 Pages: 373-377
  • NAID: 120005986357
  • Peer Reviewed
• [Journal Article] Boundary Harnack inequality for Markov processes with jumps (2015)
  • Author(s): K. Bogdan, T. Kumagai and M. Kwaśnicki
  • Journal Title: Trans. Amer. Math. Soc. Volume: 367 Issue: 1 Pages: 477-517
  • DOI: 10.1090/s0002-9947-2014-06127-8
  • Peer Reviewed
• [Journal Article] Quenched invariance principles for random walks and elliptic diffusions in random media with boundary. (2015)
  • Author(s): Z.-Q. Chen, D.A. Croydon and T. Kumagai,
  • Journal Title: Ann. Probab. Volume: 43, no. 4, Pages: 1594-1642
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Limit formulas for metric measure invariants and phase transition property (2015)
  • Author(s): R. Ozawa and T. Shioya
  • Journal Title: Math. Z Volume: 280 Issue: 3-4 Pages: 759-782
  • DOI: 10.1007/s00209-015-1447-2
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Moment map description of the Cartan-Munzner polynomials of degree four (2014)
  • Author(s): R. Miyaoka
  • Journal Title: Geometry and Analysis on Manifolds, In Memory of Professor Shoshichi Kobayashi Volume: 1 Pages: 437-447
  • DOI: 10.1007/978-3-319-11523-8_19
  • ISBN: 9783319115221, 9783319115238
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Geometric measures of finite carbon nanotube molecules : A proposal for length index and filling indexes (2014)
  • Author(s): Taisuke Matsuno, Hisashi Naito, Sunpei Hitotsugi, Sota Sato, Motoko Kotani and Hiroyuki Isobe
  • Journal Title: Pure and Applied Chemistry Volume: 86 Issue: 4 Pages: 489-495
  • DOI: 10.1515/pac-2014-5006
  • Peer Reviewed
• [Journal Article] Quantization of interface currents (2014)
  • Author(s): Motoko Kotani, Hermann Schultz-Baldes, Carlos Villegas-Blas
  • Journal Title: Journal of Mathematical Physics Volume: 55(12) Issue: 12 Pages: 1219011-9
  • DOI: 10.1063/1.4902377
  • Peer Reviewed
• [Journal Article] Negatively curved cubic carbon crystals with octahedral symmetry (2014)
  • Author(s): MakotoTagami, Yunye Liang, Hisashi Naito, Yoshiyuki Kawazoe, Motoko Kotani
  • Journal Title: Carbon Volume: 76 Pages: 266-274
  • DOI: 10.1016/j.carbon.2014.04.077
  • Peer Reviewed / Open Access
• [Journal Article] Anomalous random walks and diffusions: From fractals to random media. (2014)
  • Author(s): T. Kumagai
  • Journal Title: Proceedings of the ICM Seoul 2014 Volume: Vol. IV Pages: 75-94
• [Journal Article] Locally strongly Lipschitz contractibility of Alexandrov spaces (2014)
  • Author(s): A. Mitsuishi and T. Yamaguchi
  • Journal Title: Pacific J. Volume: 270 Issue: 1 Pages: 393-421
  • DOI: 10.1007/s10711-014-0017-9
  • Peer Reviewed / Open Access
• [Journal Article] Geometric frustration of icosahedron in metallic glasses (2013)
  • Author(s): A.Hirata, L. J. Kang, T. Fujita, B. Klumov, K. Matsue, M. Kotani, A. R. Yavari, M. W. Chen
  • Journal Title: Science Volume: 341巻No. 6144 Issue: 6144 Pages: 376-379
  • DOI: 10.1126/science.1232450
  • Peer Reviewed
• [Journal Article] The Hamiltonians Generating One-Dimensional Discrete-Time Quantum Walks (2013)
  • Author(s): Tatsuya Tate
  • Journal Title: Interdisciplinary Information Sciences Volume: 19 Issue: 2 Pages: 149-156
  • DOI: 10.4036/iis.2013.149
  • NAID: 110009795564
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] An algebraic structure for one-dimensional quantum walks and a new proof of the weak limit theorem. (2013)
  • Author(s): Tatsuya Tate
  • Journal Title: Infinite Dimensional Analysis, Quantum Probability and Related Topics Volume: 16 (no. 2) Issue: 02 Pages: 1-12
  • DOI: 10.1142/s0219025713500185
  • Peer Reviewed
• [Journal Article] Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs (2013)
  • Author(s): T. Kumagai, and Zeitouni
  • Journal Title: Electron. Commun. Probab. Volume: 18 Issue: none Pages: 1-12
  • DOI: 10.1214/ecp.v18-2632
  • Peer Reviewed
• [Journal Article] Discrete Approximation of Symmetric Jump Processes on Metric Measure Spaces (2013)
  • Author(s): Z.-Q. Chen
  • Journal Title: Probab. Theory Relat. Fields Volume: 155 Issue: 3-4 Pages: 703-749
  • DOI: 10.1007/s00440-012-0411-x
  • Peer Reviewed
• [Journal Article] Markov chain approximations to non-symmetric diffusions with bounded coefficients (2013)
  • Author(s): J.-D. Deuschel, and T. Kumagai
  • Journal Title: Comm. Pure Appl. Math. Volume: 66,no. 6 Issue: 6 Pages: 821-866
  • DOI: 10.1002/cpa.21447
  • Peer Reviewed
• [Journal Article] Biased random walk on critical Galton-Watson trees conditioned to survive (2013)
  • Author(s): D.A. Croydon, A. Fribergh, and T. Kumagai
  • Journal Title: Probab. Theory Relat. Fields Volume: 157 Issue: 1-2 Pages: 453-507
  • DOI: 10.1007/s00440-012-0462-z
  • Peer Reviewed
• [Journal Article] Isoparametric hypersurfaces with (g,m)=(6,2) (2013)
  • Author(s): R.Miyaoka
  • Journal Title: Annals of Math. Volume: 176 Issue: 1 Pages: 53-110
  • DOI: 10.4007/annals.2013.177.1.2
  • Peer Reviewed
• [Journal Article] Moment maps of the spin action and the Cartan-Munzner polynomials of degree four (2013)
  • Author(s): R.Miyaoka
  • Journal Title: Math. Ann. Volume: 355 Issue: 3 Pages: 1067-1084
  • DOI: 10.1007/s00208-012-0819-8
  • Peer Reviewed
• [Journal Article] Transnormal functions and isoparametric hypersurfaces (2013)
  • Author(s): R.Miyaoka
  • Journal Title: Diff. Geom. Appl. Volume: 31 Issue: 1 Pages: 130-139
  • DOI: 10.1016/j.difgeo.2012.10.005
  • Peer Reviewed
• [Journal Article] Homogeneity of isoparametric hypersurfaces with six principal curvatures (2013)
  • Author(s): R. Miyaoka
  • Journal Title: Oberwolfach Report 21 Volume: 21 Pages: 1291-1293
  • Peer Reviewed
• [Journal Article] Transnormal functions and transnormal systems, Pro- ceedings of the 17th International Workshop on Diff. (2013)
  • Author(s): R. Miyaoka
  • Journal Title: Geom. Volume: 17 Pages: 13-20
  • Peer Reviewed
• [Journal Article] New Growth Mechanism of Cubic Rh Clusters Composed of 8&ndash;12 Atoms Found by the Method of Euclidean Designs (2012)
  • Author(s): Makoto Tagami, Yunye Liang, Yoshiyuki Kawazoe and Motoko Kotani
  • Journal Title: MATERIALS TRANSACTIONS Volume: 53 Issue: 3 Pages: 459-462
  • DOI: 10.2320/matertrans.N-M2011859
  • NAID: 10030259381
  • ISSN: 1345-9678, 1347-5320
  • Peer Reviewed
• [Journal Article] 「東北大学数学連携の取り組み」 (2012)
  • Author(s): 小谷 元子
  • Journal Title: 応用数理 Volume: Vol.22. No.2 Pages: 73-75
  • Peer Reviewed
• [Journal Article] 数学・数理科学の新たな潮流―諸科学との連携を求めて (2012)
  • Author(s): 小谷 元子
  • Journal Title: 表面科学 Volume: Vol. 34, No. 1 Pages: 2-2
  • Peer Reviewed
• [Journal Article] 材料科学と離散幾何解析学の連携による挑戦 (2012)
  • Author(s): 小谷 元子
  • Journal Title: 表面科学 Volume: Vol. 34, No. 1 Pages: 3-8
  • Peer Reviewed
• [Journal Article] One-mode interacting Fock spaces and random walks on graphs (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Stochastics Volume: 84 Issue: 2-3 Pages: 383-392
  • DOI: 10.1080/17442508.2010.550919
  • Peer Reviewed
• [Journal Article] Manhattan products of digraphs: Characteristic polynomials and examples (2012)
  • Author(s): N. Obata
  • Journal Title: Annals of Functional Analysis Volume: 3巻,No. 2 Pages: 135-143
  • Peer Reviewed
• [Journal Article] Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes (2012)
  • Author(s): Nobuaki Obata
  • Journal Title: Banach Center Publications Volume: 96 Pages: 287-292
  • DOI: 10.4064/bc96-0-20
  • Peer Reviewed
• [Journal Article] On the equivalence of parabolic Harnack inequalities and heat kernel estimates (2012)
  • Author(s): M.T. Barlow
  • Journal Title: Journal of the Mathematical Society of Japan Volume: 64 Issue: 4 Pages: 1091-1146
  • DOI: 10.2969/jmsj/06441091
  • NAID: 10031177262
  • ISSN: 0025-5645, 1881-1167, 1881-2333
  • Peer Reviewed
• [Presentation] Mathematical challenges for materials design (2018)
  • Author(s): Motoko Kotani
  • Organizer: Total Energy and Force Methods 2018 Workshop
  • Int'l Joint Research / Invited
• [Presentation] Isoperimetric rigidity and distributions of 1-Lipschitz functions (2018)
  • Author(s): Takashi Shioya
  • Organizer: Conference on "Metrics and Measures”
  • Int'l Joint Research / Invited
• [Presentation] Quenched invariance principle for random walks among random conductances with stable-like jumps (2018)
  • Author(s): Takashi Kumagai
  • Organizer: Oberwolfach Workshop, Interplay of Analysis and Probability in Applied Mathematics
  • Int'l Joint Research / Invited
• [Presentation] Isoperimetric rigidity and distributions of 1-Lipschitz functions (2018)
  • Author(s): Takashi Shioya
  • Organizer: Global Differential Geometry Workshop
  • Int'l Joint Research / Invited
• [Presentation] Quenched invariance principle for random walks among random conductances with stable-like jumps (2018)
  • Author(s): Takashi Kumagai
  • Organizer: Probability seminar at NYU-Shanghai
  • Int'l Joint Research / Invited
• [Presentation] Quenched invariance principle for random walks among random conductances with stable-like jumps (2018)
  • Author(s): Takashi Kumagai
  • Organizer: Sixth Bielefeld-SNU Joint Workshop in Mathematics
  • Int'l Joint Research / Invited
• [Presentation] Structure understanding of materials by discrete geometric analysis (2017)
  • Author(s): Motoko Kotani
  • Organizer: Stochastic Analysis and Large Scale Interacting Systems
  • Int'l Joint Research / Invited
• [Presentation] Structure understanding of materials by discrete geometric analysis (2017)
  • Author(s): Motoko Kotani
  • Organizer: Novel Optical Materials
  • Int'l Joint Research / Invited
• [Presentation] 数学による構造・機能相関の解明 (2017)
  • Author(s): 小谷 元子
  • Organizer: 17-1ポリマーフロンティア21
  • Invited
• [Presentation] Structure understanding of materials by discrete geometric analysis (2017)
  • Author(s): Kotani, Motoko
  • Organizer: International Workshop on Industrial Mathematics
  • Int'l Joint Research / Invited
• [Presentation] Time changes of stochastic processes: Convergence and heat kernel estimates (2017)
  • Author(s): Takashi Kumagai
  • Organizer: Random walks with memory at CIRM
  • Int'l Joint Research / Invited
• [Presentation] High-dimensional spaces in metric measure geometry (2017)
  • Author(s): Takashi Shioya
  • Organizer: Geometric Analysis on smooth and non-smooth spaces
  • Int'l Joint Research / Invited
• [Presentation] Convergence of random walks for trap models on disordered media (2017)
  • Author(s): Takashi Kumagai
  • Organizer: Dynamics, aging and universality in complex systems
  • Int'l Joint Research / Invited
• [Presentation] Potential theory for symmetric jump processes and applications (2017)
  • Author(s): Takashi Kumagai
  • Organizer: SPA 2017 in Moscow
  • Int'l Joint Research / Invited
• [Presentation] Quantum walks defined by periodic unitary transition operators (2017)
  • Author(s): Tatsuya Tate
  • Organizer: GEOQUANT 2017 Conference
  • Int'l Joint Research / Invited
• [Presentation] Mathematical Challenge to Understanding of Material (2017)
  • Author(s): Motoko Kotani
  • Organizer: International Conference on Research and Education in Mathematics 2017 (ICREM8)
  • 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
  • Invited
• [Presentation] Convergence of random walks for trap models on disordered media (2017)
  • Author(s): Takashi Kumagai
  • Organizer: German-Japanese Open Conference on Stochastic Analysis 2017
  • Int'l Joint Research / Invited
• [Presentation] Soft isoperimetric rigidity (2017)
  • Author(s): Takashi Shioya
  • Organizer: Metric Measure Spaces and Ricci Curvature
  • Int'l Joint Research / Invited
• [Presentation] Discrete surface theory for trivalent graphs and its application to materials science (2017)
  • Author(s): Motoko Kotani
  • Organizer: Geometry Workshop in Obergurgl 2017
  • Int'l Joint Research / Invited
• [Presentation] Potential theory for symmetric jump processes and applications (2017)
  • Author(s): Takashi Kumagai
  • Organizer: Colloquium at Shanghai Jiao Tong University
  • Int'l Joint Research / Invited
• [Presentation] Convergence of random walks for trap models on disordered media (2017)
  • Author(s): Takashi Kumagai
  • Organizer: International Conference on Spatial Probability and Statistical Physics
  • Int'l Joint Research / Invited
• [Presentation] 複雑な空間の上の熱の伝わり方を探る (2017)
  • Author(s): 熊谷 隆
  • Organizer: 第35回（平成29年度）大阪科学賞記念講演
  • 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）
  • 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」
  • Invited
• [Presentation] Mathematical challenge for materials science (2017)
  • Author(s): Motoko Kotani
  • Organizer: 2017 Dasan Conference Mathematical Challenges and Industrial Problem Solving
  • Int'l Joint Research / Invited
• [Presentation] Figure Materials (2016)
  • Author(s): Motoko Kotani
  • Organizer: 16th International Conference Computational and Mathematical Methods in Science and Engineering
  • Place of Presentation: BARCELO COSTA BALLENA HOTEL ( Cadiz, Spain)
  • Year and Date: 2016-07-05
  • Int'l Joint Research / Invited
• [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces (2016)
  • Author(s): Takashi Kumagai
  • Organizer: The 1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
  • Place of Presentation: Hong Kong University of Science and Technology (香港)
  • Year and Date: 2016-03-22
  • Int'l Joint Research / Invited
• [Presentation] Mathematical Challenge to a New Phase of Materials Science (2016)
  • Author(s): Motoko Kotani
  • Organizer: Japanese Swiss Energy Materials Workshop
  • Place of Presentation: EMPA (スイス)
  • Year and Date: 2016-03-08
  • Int'l Joint Research / Invited
• [Presentation] recent topics on random conductance model (2016)
  • Author(s): Takashi Kumagai
  • Organizer: 2016 Spring Probability Workshop at Academia Sinica
  • Place of Presentation: Academia Sinica(台湾)
  • Year and Date: 2016-03-07
  • Int'l Joint Research / Invited
• [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces (2016)
  • Author(s): Takashi Kumagai
  • Organizer: Probability Seminar
  • Place of Presentation: Stanford University(California, US)
  • Year and Date: 2016-02-22
  • Int'l Joint Research / Invited
• [Presentation] Convergence of metric measure spaces (2016)
  • Author(s): Takashi Shioya
  • Organizer: Metric Geometry and Its Applications
  • Place of Presentation: 復旦大学（上海）
  • Year and Date: 2016-02-22
  • Int'l Joint Research / Invited
• [Presentation] 等径超曲面のガウス像のハミルトン交叉とフレアホモロジー (2016)
  • Author(s): 宮岡 礼子
  • Organizer: 日本数学会東北支部会
  • Place of Presentation: 弘前大学（青森県）
  • Year and Date: 2016-02-13
  • Invited
• [Presentation] マルチスケール材料開発のための幾何学的手法 (2016)
  • Author(s): 小谷 元子
  • Organizer: 先端化学・材料技術部会 コンピュータケミストリ分科会講演会「マルチスケール材料開発のための幾何学的手法」
  • Place of Presentation: （公社）新化学技術推進協会（東京）
  • Year and Date: 2016-01-14
  • Invited
• [Presentation] Localization for periodic unitary transition operators (2016)
  • Author(s): Tatsuya Tate
  • Organizer: 2016 Joint Mathematics Meetings, AMS Special Session on "Quantum Walks, Quantum Markov Chains, Quantum Computation and Related Topics''
  • Place of Presentation: Washington state convention center, Seattle, USA
  • Year and Date: 2016-01-08
  • Int'l Joint Research
• [Presentation] Mathematical Challenge to a New Phase of Materials Science (2016)
  • Author(s): 小谷 元子
  • Organizer: Workshop on nonlinear partial differential equations and related topics
  • Invited
• [Presentation] Time changes of stochastic processes on fractals (2016)
  • Author(s): Takashi Kumagai
  • Organizer: Fractality and Fractionality
  • Int'l Joint Research / Invited
• [Presentation] Time changes of stochastic processes associated with resistance forms (2016)
  • Author(s): Kumagai Takashi
  • Organizer: Random Structures in High Dimensions: CMO-BIRS workshop at Oaxaca
  • Int'l Joint Research / Invited
• [Presentation] High-dimensional spaces in metric measure geometry (2016)
  • Author(s): Takashi Shioya
  • Organizer: Workshop on Perspectives in Geometric Analysis (Part A)
  • Int'l Joint Research / Invited
• [Presentation] Mathematical challenge for materials research at AIMR (2016)
  • Author(s): Motoko Kotani
  • Organizer: International Conference on Mathematics and Mathematics Education (ICMME) 2016
  • Int'l Joint Research / Invited
• [Presentation] Structure understanding of materials by discrete geometric analysis (2016)
  • Author(s): 小谷 元子
  • Organizer: 2016居禮夫人高中化學營
  • Int'l Joint Research / Invited
• [Presentation] 数学と材料科学の連携のもたらす未来―東北大学原子分子材料科学高等研究機構（AIMR）における実験― (2016)
  • Author(s): 小谷 元子
  • Organizer: 俯瞰ワークショップ ナノテクノロジー・材料分野領域別分科会 全体会議「研究開発力強化に向けた施策間連携」
  • Invited
• [Presentation] 複雑な系の上の異常拡散現象の解析 (2016)
  • Author(s): 熊谷 隆
  • Organizer: 日本数学会秋季総合分科会
  • Invited
• [Presentation] Topology in Materials (2016)
  • Author(s): Motoko Kotani
  • Organizer: IGA/AMSI Workshop Topological Matter, Strings, K-theory and related areas
  • Int'l Joint Research / Invited
• [Presentation] Metric measure geometry and concentration of measure (2016)
  • Author(s): Takashi Shioya
  • Organizer: 5th Japanese-German University Presidents' Conference (HeKKSaGOn)
  • Int'l Joint Research / Invited
• [Presentation] High-dimensional spaces in metric measure geometry (2016)
  • Author(s): Takashi Shioya
  • Organizer: HeKKSaGOn Mini-Workshop 2016
  • Int'l Joint Research / Invited
• [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces (2016)
  • Author(s): Kumagai Takashi
  • Organizer: Stochastic Partial Differential Equations and Related Fields
  • Int'l Joint Research / Invited
• [Presentation] A mathematical challenge to material (2016)
  • Author(s): Motoko Kotani
  • Organizer: GEMS 2016：Geometry and Materials Science
  • Int'l Joint Research / Invited
• [Presentation] 異分野融合への挑戦 (2016)
  • Author(s): 小谷 元子
  • Organizer: 第８回九州・沖縄アイランド女性研究者支援シンポジウムin沖縄
  • Invited
• [Presentation] A challenge to a new paradigm by math-mate collaboration at AIMR (2016)
  • Author(s): 小谷 元子
  • Organizer: 第14回I2CNERセミナー・シリーズ
  • Invited
• [Presentation] Lamplighter random walks on fractals (2016)
  • Author(s): Takashi Kumagai
  • Organizer: 3rd Workshop on Probability Theory and its Applications
  • Int'l Joint Research / Invited
• [Presentation] Hamiltonian non-displaceability of Gauss images of isoparametric (2015)
  • Author(s): 宮岡 礼子
  • Organizer: 中央大学数学科談話会
  • Place of Presentation: 中央大学（東京）
  • Year and Date: 2015-12-18
  • Invited
• [Presentation] Mathematical challenge to structural understanding of materials (2015)
  • Author(s): Motoko Kotani
  • Organizer: YHMA（Yau’s High School Mathematical Award)
  • Place of Presentation: Tsinghua University(北京,中国)
  • Year and Date: 2015-12-12
  • Int'l Joint Research / Invited
• [Presentation] Mathematical challenge to structural understanding of materials (2015)
  • Author(s): Motoko Kotani
  • Organizer: 2nd International Symposium on Frontiers in Materials Science (FMS)
  • Place of Presentation: Waseda University, Tokyo, Japan
  • Year and Date: 2015-11-21
  • Int'l Joint Research / Invited
• [Presentation] 等径超曲面のガウス像のHamilton non-displaceabilityについて (2015)
  • Author(s): 宮岡礼子
  • Organizer: 部分多様体論・湯沢2015
  • Place of Presentation: 湯沢町・湯沢グランドホテル（新潟県）
  • Year and Date: 2015-11-20
• [Presentation] Anomalous random walks and diffusions in random media (2015)
  • Author(s): Takashi Kumagai
  • Organizer: International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
  • Place of Presentation: 早稲田大学（東京都）
  • Year and Date: 2015-11-12
  • Int'l Joint Research / Invited
• [Presentation] Mathematical challenge to structural understanding of Materials (2015)
  • Author(s): Motoko Kotani
  • Organizer: Geometric analysis in geometry and topology 2015
  • Place of Presentation: 東京理科大学（神楽坂），森戸記念館
  • Year and Date: 2015-11-10
  • Int'l Joint Research / Invited
• [Presentation] Quantum walks in one dimension (2015)
  • Author(s): Tatsuya Tate
  • Organizer: Colloquium at Shanghai Mathematical Center
  • Place of Presentation: Fudan University, Shanghai, China
  • Year and Date: 2015-11-05
  • Invited
• [Presentation] Hamiltonian non-displaceability of the Gauss image of isoparametric hypersurfaces (2015)
  • Author(s): 宮岡礼子
  • Organizer: 学習院・早稲田 幾何学セミナー（GWGS）
  • Place of Presentation: 早稲田大学（東京）
  • Year and Date: 2015-10-26
  • Invited
• [Presentation] Harnack inequalities and local CLT for the polynomial lower tail random conductance model (2015)
  • Author(s): Takashi Kumagai
  • Organizer: RIMS workshop “Stochastic Analysis”
  • Place of Presentation: 京都大学（京都市）
  • Year and Date: 2015-09-10
  • Int'l Joint Research / Invited
• [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces (2015)
  • Author(s): Takashi Kumagai
  • Organizer: International Conference on Stochastic Analysis and Related Topics
  • Place of Presentation: Wuhan University (China)
  • Year and Date: 2015-08-05
  • Int'l Joint Research / Invited
• [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces (2015)
  • Author(s): Takashi Kumagai
  • Organizer: SPA 2015 Oxford
  • Place of Presentation: University of Oxford(UK)
  • Year and Date: 2015-07-15
  • Int'l Joint Research / Invited
• [Presentation] Mathematical challenge to structural understanding and structure of materials (2015)
  • Author(s): Motoko KOTANI
  • Organizer: 15th International Conference Computational and Mathematical Methods in Science and Engineerin
  • Place of Presentation: Costa Ballena, Cadiz, Spain
  • Year and Date: 2015-07-07
  • Int'l Joint Research / Invited
• [Presentation] Quantum walks in one dimension (2015)
  • Author(s): Tatsuya Tate
  • Organizer: XXXIV Workshop on Geometric Method in Physics
  • Place of Presentation: Bialowieza, Poland
  • Year and Date: 2015-07-01
  • Int'l Joint Research / Invited
• [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero (2015)
  • Author(s): Takashi Kumagai
  • Organizer: University of Bath Probability Seminar
  • Place of Presentation: University of BATH (Bath, UK)
  • Year and Date: 2015-06-08
  • Int'l Joint Research / Invited
• [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero (2015)
  • Author(s): Takashi Kumagai
  • Organizer: University of Bristol Probability seminar
  • Place of Presentation: University of BRISTOL（Bristol, UK）
  • Year and Date: 2015-06-05
  • Int'l Joint Research / Invited
• [Presentation] Convergence of metric measure spaces (2015)
  • Author(s): Takashi Shioya
  • Organizer: Workshop on Analysis and Geometry in Metric Spaces
  • Place of Presentation: ICMAT, Campus de Cantoblanco (Madrid, Spain)
  • Year and Date: 2015-06-04
  • Int'l Joint Research / Invited
• [Presentation] Mathematical Challenge to Structural Understandingof Materials (2015)
  • Author(s): Motoko Kotani
  • Organizer: Mathematics of NovelMaterials
  • Place of Presentation: Mittag-Leffler Institute, Djursholm, Sweden
  • Year and Date: 2015-06-01
  • Int'l Joint Research / Invited
• [Presentation] Mathematical Challenge to understanding of Materials (2015)
  • Author(s): Motoko Kotani
  • Organizer: WE-Heraeus Seminar
  • Place of Presentation: Physikzentrum Bad Honnef (ドイツ)
  • Year and Date: 2015-04-28
  • Int'l Joint Research / Invited
• [Presentation] What is going on in metric measure geometry? (2015)
  • Author(s): 塩谷隆
  • Organizer: HeKKSaGOn会議
  • Place of Presentation: 東北大学川井ホール
  • Year and Date: 2015-04-18
  • Int'l Joint Research
• [Presentation] Concentration, convergence and dissipation of spaces (2015)
  • Author(s): Takashi Shioya
  • Organizer: Mini-workshop on Differential Geometry
  • Place of Presentation: Kawai hall, Graduate school of Sciences, Tohoku University
  • Year and Date: 2015-03-19
  • Int'l Joint Research / Invited
• [Presentation] Concentration, convergence and dissipation of spaces (2015)
  • Author(s): Takashi Shioya
  • Organizer: New Trends in Optimal Transport
  • Place of Presentation: ボン大学（ボン, ドイツ）
  • Year and Date: 2015-03-04
  • Int'l Joint Research / Invited
• [Presentation] Mathematical challenge to structural understanding of materials (2015)
  • Author(s): Motoko KOTANI
  • Organizer: 2015 East Asian Core Doctorial Forum on Mthematics
  • Place of Presentation: Department of Mathematics, National Taiwan University, Taipei, Taiwan
  • Year and Date: 2015-01-19
  • Int'l Joint Research / Invited
• [Presentation] Powers of certain quantum walks (2015)
  • Author(s): Tatsuya Tate
  • Organizer: 2015 Joint Mathematics Meetings
  • Place of Presentation: Henry B. Gonzalez Convention Center,San Antonio,TX,USA
  • Year and Date: 2015-01-13
  • Int'l Joint Research / Invited
• [Presentation] Localization, eigenvalues and absolute continuity for periodic unitary transition operators (2014)
  • Author(s): Tatsuya Tate
  • Organizer: Quantum Simulation and Quantum Walks 2014
  • Place of Presentation: Durban, South Africa
  • Year and Date: 2014-11-28
  • Int'l Joint Research / Invited
• [Presentation] A test case at AIMR -Collaboration between mathematics and materials science (2014)
  • Author(s): Motoko Kotani
  • Organizer: Mathematics of Fluid Dynamics and Material Science
  • Place of Presentation: International Convention Center Jeju, Korea
  • Year and Date: 2014-11-23
  • Int'l Joint Research
• [Presentation] グローバーウォークのベキ乗の明示公式 (2014)
  • Author(s): 楯辰哉
  • Organizer: 3rd Yokohama Workshop on Quantum Walks
  • Place of Presentation: 横浜国立大学理学研究棟
  • Year and Date: 2014-11-19
  • Invited
• [Presentation] Structural Understanding of Materials-Collaboration Between Mathematics and Materials Science (2014)
  • Author(s): Motoko KOTANI
  • Organizer: 150 years of beautiful structures and defects
  • Place of Presentation: Vietnam National University, Ho Chi Minh City
  • Year and Date: 2014-11-16
  • Int'l Joint Research / Invited
• [Presentation] Anomalous random walks and their scaling limits: From fractals to random media (2014)
  • Author(s): Takashi Kumagai
  • Organizer: Colloquium at Humboldt University
  • Place of Presentation: Humboldt University of Berlin, Germany
  • Year and Date: 2014-10-29
  • Int'l Joint Research / Invited
• [Presentation] Metric measure limits of spheres and complex projective spaces (2014)
  • Author(s): Takashi Shioya
  • Organizer: ERC conference on Optimal Transportation and Applications
  • Place of Presentation: Centro De Giorgi, Scuola Normale Superiore（ピサ，イタリア）
  • Year and Date: 2014-10-29
  • Int'l Joint Research / Invited
• [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero (2014)
  • Author(s): Takashi Kumagai
  • Organizer: 1st PAJAKO Workshop
  • Place of Presentation: ドレスデン工科大学（ドイツ）
  • Year and Date: 2014-10-27
  • Int'l Joint Research / Invited
• [Presentation] Quenched Invariance Principle for a class of random conductance mod- els with long-range jumps (2014)
  • Author(s): Takashi Kumagai
  • Organizer: Dirichlet Form Theory and its Applications
  • Place of Presentation: Mathematisches Forschungsinstitut Oberwolfach, Germany
  • Year and Date: 2014-10-21
  • Int'l Joint Research / Invited
• [Presentation] Discrete geometric analysis applied to structural understanding of materials (2014)
  • Author(s): Motoko Kotani
  • Organizer: Inverse Problems and Spectral Theory
  • Place of Presentation: Texas A&M University , College Station, TX
  • Year and Date: 2014-10-17
  • Int'l Joint Research / Invited
• [Presentation] ユニタリ推移作用素の固有値と局在化についての一考察 (2014)
  • Author(s): 楯辰哉
  • Organizer: 量子系の数理と物質制御への展開 -- 量子ウォークを架け橋に --
  • Place of Presentation: 東北大学情報科学研究科 (仙台市)
  • Year and Date: 2014-09-18
  • Invited
• [Presentation] Mathematical challenge for structural understanding of materials (2014)
  • Author(s): Motoko Kotani
  • Organizer: ICWM2014
  • Place of Presentation: Ewha Womans University(ソウル, 韓国)
  • Year and Date: 2014-08-12
  • Int'l Joint Research / Invited
• [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero (2014)
  • Author(s): Takashi Kumagai
  • Organizer: 7th ICSAA
  • Place of Presentation: Mugunghwa hall in Samsung Convention Center,Seoul, Korea
  • Year and Date: 2014-08-06
  • Int'l Joint Research / Invited
• [Presentation] 材料科学へのトポロジーの応用 (2014)
  • Author(s): 小谷元子
  • Organizer: 幾何学とインターネットの数理2014
  • Place of Presentation: 東京大学玉原国際セミナーハウス
  • Year and Date: 2014-07-20
  • Invited
• [Presentation] Powers of certain quantum walks (2014)
  • Author(s): Tatsuya Tate
  • Organizer: 16th Workshop: Non-commutative harmonic analysis
  • Place of Presentation: Bedlewo, Poland
  • Year and Date: 2014-07-10
  • Int'l Joint Research / Invited
• [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero (2014)
  • Author(s): T. Kumagai
  • Organizer: ASC-IMS 2014 Annual Meeting at Sydney
  • Place of Presentation: Australian Technology Park, Sydney, Australia
  • Year and Date: 2014-07-07
  • Int'l Joint Research / Invited
• [Presentation] Simple random walk on the two-dimensional uniform spanning tree and its scaling limits (2014)
  • Author(s): Takashi Kumagai
  • Organizer: 5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
  • Place of Presentation: Cornell University, New York, USA
  • Year and Date: 2014-06-11
  • Int'l Joint Research / Invited
• [Presentation] Simple random walk on the two-dimensional uniform spanning tree and its scaling limits (2014)
  • Author(s): T. Kumagai
  • Organizer: Warwick EPSRC Symposium on Statistical Mechanics: Gradient random fields
  • Place of Presentation: University of Warwick(United Kingdom)
  • Year and Date: 2014-05-27
  • Int'l Joint Research / Invited
• [Presentation] Singular Riemannian foliations and Transnormal systems (2014)
  • Author(s): R.Miyaoka
  • Organizer: Conference on Geometry
  • Place of Presentation: Galatasaray Univ. Istanbul, Turkey
  • Year and Date: 2014-03-21
  • Invited
• [Presentation] 複雑な系の上の確率過程：フラクタルからランダムメディアへ (2014)
  • Author(s): T. Kumagai
  • Organizer: RIMS研究集会「確率解析」
  • Place of Presentation: 京都大学数理解析研究所(京都府京都市)
  • Year and Date: 2014-03-19
  • Invited
• [Presentation] 一次元・二次元の量子ウォーク (2014)
  • Author(s): 楯 辰哉
  • Organizer: 2014 年日本数学会年会
  • Place of Presentation: 学習院大学（東京都豊島区）
  • Year and Date: 2014-03-17
  • Invited
• [Presentation] Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree (2014)
  • Author(s): T. Kumagai
  • Organizer: Spring probability workshop in 2014, NCTS
  • Place of Presentation: National Tsing Hua University, Taiwan(新竹市,台湾)
  • Year and Date: 2014-03-11
  • Invited
• [Presentation] Simple random walk on the two-dimensional uniform spanning tree and the scaling limits (2014)
  • Author(s): T. Kumagai
  • Organizer: UCLA Probability Seminar
  • Place of Presentation: UCLA（ロサンゼルス,アメリカ合衆国）
  • Year and Date: 2014-02-19
  • Invited
• [Presentation] Stability of minimal Lagrangian submanifolds and L2 harmonic 1-forms (2014)
  • Author(s): R.Miyaoka
  • Organizer: 第２回スペイン日本幾何学研究集会
  • Place of Presentation: 東京工業大学（東京都目黒区）
  • Year and Date: 2014-02-08
  • Invited
• [Presentation] A new class of quantum walks in two dimension (2014)
  • Author(s): 楯 辰哉
  • Organizer: International Joint Research Week on ``Non-Commutative Stochastic Systems: Analysis, Modelling, and Applications''
  • Place of Presentation: 東北大学情報科学研究科（宮城県仙台市）
  • Year and Date: 2014-02-05
• [Presentation] Asymptotics of one-dimensional quantum walks (2014)
  • Author(s): 楯 辰哉
  • Organizer: 2014 Joint Mathematics Meetings, AMS Special Session on ``Quantum Walks, Quantum Computation, and Related Topics''
  • Place of Presentation: USA, Baltimore, Baltimore Convention Center.
  • Year and Date: 2014-01-18
• [Presentation] Discrete Geometric Analysis applied to structural understanding of Materials (2013)
  • Author(s): M. Kotani
  • Organizer: Tsinghua Sanya International Mathematics Forum
  • Place of Presentation: Mathematical Sciences Center, Sanya, China
  • Year and Date: 2013-12-18 – 2013-12-22
  • Invited
• [Presentation] Discrete Geometric Analysis applied to structural understanding of Materials (2013)
  • Author(s): M. Kotani
  • Organizer: Tohoku University Forum at UCL
  • Place of Presentation: University College London, London, UK
  • Year and Date: 2013-11-21 – 2013-11-23
  • Invited
• [Presentation] Various aspects of one-dimensional quantum walks (2013)
  • Author(s): 楯 辰哉
  • Organizer: JSPS-DST Asian Academic Seminar 2013, Special Session on ``Analysis of graphs and graph algorithms''
  • Place of Presentation: 東京大学（東京都目黒区）
  • Year and Date: 2013-11-04
  • Invited
• [Presentation] Riemannian singular foliations and Transnormal func- tions (2013)
  • Author(s): R.Miyaoka
  • Organizer: Geometry and Something
  • Place of Presentation: 福岡大学（福岡県福岡市）
  • Year and Date: 2013-11-03
  • Invited
• [Presentation] Discrete Geometric Analysis applied to structural understanding of Materials (2013)
  • Author(s): M. Kotani
  • Organizer: CAMP opening symposium
  • Place of Presentation: CAMP, NIMS, Daejeon, Korea
  • Year and Date: 2013-11-01
  • Invited
• [Presentation] On the precise Gaussian heat kernel lower bounds (2013)
  • Author(s): T. Kumagai
  • Organizer: Evolutionary problems’ at Mittag-Leffler Institute
  • Place of Presentation: ユルスホルム,スウェーデン
  • Year and Date: 2013-10-03
  • Invited
• [Presentation] Transnormal functions and transnormal systems (2013)
  • Author(s): R.Miyaoka
  • Organizer: The 17th International Workshop on Differential Geometry&Related Fields
  • Place of Presentation: NIMS (Deajeon, Korea)
  • Year and Date: 2013-10-02
  • Invited
• [Presentation] Biased random walk on critical Galton-Watson trees conditioned to survive (2013)
  • Author(s): T. Kumagai
  • Organizer: Random media
  • Place of Presentation: ベルリン工科大学（ベルリン,ドイツ）
  • Year and Date: 2013-09-16 – 2013-09-17
  • Invited
• [Presentation] On the precise Gaussian heat kernel lower bounds (2013)
  • Author(s): T. Kumagai
  • Organizer: Workshop on Geometric aspects in probability and analysis at Jena
  • Place of Presentation: フリードリヒ・シラー大学（イェーナ,ドイツ）
  • Year and Date: 2013-09-14
  • Invited
• [Presentation] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary (2013)
  • Author(s): T. Kumagai
  • Organizer: 日独研究集会
  • Place of Presentation: ライプツィヒ大学（ライプツィヒ,ドイツ）
  • Year and Date: 2013-09-10
  • Invited
• [Presentation] 一次元量子ウォークの諸相 (2013)
  • Author(s): 楯 辰哉
  • Organizer: 第 60 回幾何学シンポジウム
  • Place of Presentation: 東京工業大学（東京都目黒区）
  • Year and Date: 2013-08-27
  • Invited
• [Presentation] The Hamiltonians generating one-dimensional discrete-time quantum walks (2013)
  • Author(s): 楯 辰哉
  • Organizer: International Workshop on ``Noncommutative Analysis and its Future Prospects''
  • Place of Presentation: 北海道大学（北海道札幌市）
  • Year and Date: 2013-08-07
  • Invited
• [Presentation] A mathematical challenge to a new phase of materials science (2013)
  • Author(s): M. Kotani
  • Organizer: Connections 2013 Symposium: Crossing Boundaries with Informatics &#8211; from Basic Science to Social Infrastructure
  • Place of Presentation: Cosmos Club, Washington DC, USA
  • Year and Date: 2013-07-09
  • Invited
• [Presentation] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary (2013)
  • Author(s): T. Kumagai
  • Organizer: SPA2013
  • Place of Presentation: コロラド大学（ボールダー,アメリカ合衆国）
  • Year and Date: 2013-06-30
• [Presentation] Discrete Geometric Analysis applied to structural understanding of Materials (2013)
  • Author(s): M. Kotani
  • Organizer: Joint International Meeting of the AMS and the Romanian Mathematical Society
  • Place of Presentation: University of Alba Iulia, Rumania
  • Year and Date: 2013-06-27 – 2013-06-30
  • Invited
• [Presentation] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary (2013)
  • Author(s): T. Kumagai
  • Organizer: The Sec- ond Pacic Rim Mathematical Association (PRIMA)
  • Place of Presentation: 上海交通大学 （上海，中国）
  • Year and Date: 2013-06-25
  • Invited
• [Presentation] Isoparametric hypersurfaces with (g,m)=(6,2) (2013)
  • Author(s): R.Miyaoka
  • Organizer: The Sec- ond Pacic Rim Mathematical Association (PRIMA)
  • Place of Presentation: 上海交通大学 （上海，中国）
  • Year and Date: 2013-06-24
  • Invited
• [Presentation] Discrete Geometric Analysis applied to structural understanding of Materials (2013)
  • Author(s): M. Kotani
  • Organizer: The 1st WPI workshop on materials science 10th France-Japan Workshop on Nanomaterials
  • Place of Presentation: 京都大学（京都府京都市）
  • Year and Date: 2013-06-06
  • Invited
• [Presentation] Hypersurface geometry and expression via the moment map (2013)
  • Author(s): R.Miyaoka
  • Organizer: Kobayashi Memorial
  • Place of Presentation: 東京大学（東京都目黒区）
  • Year and Date: 2013-05-23
  • Invited
• [Presentation] Homogeneity of isoparametric hyper surfaces with six principal curvatures (2013)
  • Author(s): R.Miyaoka
  • Organizer: Progress in surface theory
  • Place of Presentation: Oberwolfach（Germany）
  • Year and Date: 2013-05-02
  • Invited
• [Presentation] 超曲面論とその後 (2013)
  • Author(s): 宮岡礼子
  • Organizer: 談話会
  • Place of Presentation: 東北大学（宮城県仙台市）
  • Year and Date: 2013-04-15
  • Invited
• [Presentation] Random walks on graphs and applications to random media (2012)
  • Author(s): 熊谷 隆
  • Organizer: Spring School in Probability
  • Place of Presentation: Dubrovnik, Croatia
  • Invited
• [Presentation] Concentration of metric measure spaces (2012)
  • Author(s): T. Shioya
  • Organizer: Analysis and Geometry in Metric Measure Spaces
  • Place of Presentation: デ・ジョルジ研究所,Pisa, Italy
  • Invited
• [Presentation] Localization of quantum walks on spidernets (2012)
  • Author(s): N. Obata
  • Organizer: 15th Workshop on Non-Commutative Harmonic Analysis : Random Matrices, representation theory and free probability
  • Place of Presentation: Bedlewo, Poland
  • Invited
• [Presentation] Distance k-graphs of direct product graphs and their asymptotic spectral distributions QP 33 (2012)
  • Author(s): N. Obata
  • Organizer: Quantum Probabilities and Related Fields
  • Place of Presentation: Luminy, France
  • Invited
• [Presentation] Recent developments of quantum white noise calculus (2012)
  • Author(s): N. Obata
  • Organizer: Quantum stochastic derivatives and their applications
  • Place of Presentation: 京都大学数理解析研究所（京都府京都市）
  • Invited
• [Presentation] Asymptotic spectral distributions of distance k-graphs of Cartesian product graphs (2012)
  • Author(s): N. Obata
  • Organizer: International Conference in Honour of Sixtieth Birthday of Rajendra Bhatia : Matrices and Operators Indian Institute of Science
  • Place of Presentation: Bangalore, India
  • Invited
• [Presentation] 一次元量子酔歩に対する Plancherel-Rotach 型の漸近公式
  • Author(s): 楯 辰哉
  • Organizer: 応用数学連携フォーラム第 27 回ワークショップ
  • Place of Presentation: 東北大学情報科学研究科（宮城県仙台市）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: TOHOKU-FUDAN WORKSHOP ON THE OCCASION OF THE CENTENNIAL OF THE FACULTY OF SCIENCE
  • Place of Presentation: ホテル松島大観荘（宮城県松島町）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: Topology and Functional Analysis 2012
  • Place of Presentation: 復旦大学, 上海, 中国
  • Invited
• [Presentation] Random walk, quantum walk, and quantum probability
  • Author(s): N. Obata
  • Organizer: 6th Korean Mathematical Society Probability Workshop
  • Place of Presentation: Seoul National University, Korea
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: 理研研究会「物質科学の数学的手法と数理物理」
  • Place of Presentation: 理化学研究所仁科ホール（埼玉県和光市）
  • Invited
• [Presentation] 量子ウォークの数理
  • Author(s): 楯 辰哉
  • Organizer: 物質科学の数学的手法と数理物理
  • Place of Presentation: 理化学研究所 (埼玉県和光市)
  • Invited
• [Presentation] Hypersurface geometry and moment map
  • Author(s): R.Miyaoka
  • Organizer: KWMS 2012 Conference
  • Place of Presentation: 梨花女子大学,ソウル, 韓国
  • Invited
• [Presentation] Hypersurface geometry and moment map
  • Author(s): R.Miyaoka
  • Organizer: UK-Japan Math-ematical Forum
  • Place of Presentation: 慶応大学（東京都）
  • Invited
• [Presentation] 等径超曲面とモーメント写像
  • Author(s): 宮岡礼子
  • Organizer: 第58 回幾何学シンポジウム
  • Place of Presentation: 九州大学（福岡県福岡市）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: RIMS研究集会「Discrete Geometric Analysis」
  • Place of Presentation: 京都大学数理解析研究所（京都府京都市）
  • Invited
• [Presentation] スピン作用をもつ超曲面とモーメント写像
  • Author(s): 宮岡礼子
  • Organizer: Submanifold Geometry and Lie Group Action
  • Place of Presentation: 東京理科大（東京都）
  • Invited
• [Presentation] Expression of Cartan-Munzner Polynomials via moment map of the spin action
  • Author(s): R.Miyaoka
  • Organizer: 8-th Geometry Conference for the Friendship of China and Japan
  • Place of Presentation: 四川大学（成都、中国）
  • Invited
• [Presentation] Random walks on disordered media and their scaling limits
  • Author(s): 熊谷 隆
  • Organizer: 日本数学会KMS-MSJ Joint Meeting 2012
  • Place of Presentation: 九州大学数理学研究院（福岡県福岡市）
  • Invited
• [Presentation] Theory of isoparametric hypersurfaces and related topics
  • Author(s): R.Miyaoka
  • Organizer: International Conference on Differential Geometry for Prof. Su Buqing
  • Place of Presentation: 復旦大学,上海,中国
  • Invited
• [Presentation] Quenched invariance principle for random walks and random divergence forms in random media on cones
  • Author(s): 熊谷 隆
  • Organizer: Stochastic Analysis and Applications
  • Place of Presentation: 岡山大学（岡山県岡山市）
  • Invited
• [Presentation] Asymptotic behavior of quantum walks on the line
  • Author(s): 楯 辰哉
  • Organizer: Geometry and Probability
  • Place of Presentation: 大学コンソーシアムやまがた ゆうキャンパスステーション（山形県山形市）
  • Invited
• [Presentation] Asymptotics of quantum walks on the line
  • Author(s): 楯 辰哉
  • Organizer: 確率解析とその周辺
  • Place of Presentation: 名古屋大学多元数理科学研究科（愛知県名古屋市）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: 第18回複素幾何シンポジウム
  • Place of Presentation: 信州菅平高原プチホテルゾンタック（長野県上田市）
  • Invited
• [Presentation] Isoparametric hypersurfaces and moment map
  • Author(s): R.Miyaoka
  • Organizer: The 16th International Workshop on Differential Geometry
  • Place of Presentation: 慶北大学,大邱,韓国
  • Invited
• [Presentation] 一次元量子ウォークに対する弱収束定理の簡単な証明
  • Author(s): 楯 辰哉
  • Organizer: 福岡大学微分幾何研究会「Geometry and Something」
  • Place of Presentation: 福岡大学セミナーハウス（福岡県福岡市）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: 2012 International Conference on Modeling, Analysis and Simulation「現象数理学の展開」（ICMAS）
  • Place of Presentation: 明治大学駿河台キャンパス紫紺館（東京都）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: Workshop on Stochastic Analysis and Related Topics
  • Place of Presentation: AMSS, Chinese Academy of Sciences, 北京, 中国
  • Invited
• [Presentation] Asymptotics of quantum walks on the line
  • Author(s): 楯 辰哉
  • Organizer: Workshop of "Quantum Dynamics and Quantum Walks”
  • Place of Presentation: 自然科学研究機構岡崎コンファレンスセンター（愛知県岡崎市）
  • Invited
• [Presentation] A mathematical challenge to materials science
  • Author(s): 小谷 元子
  • Organizer: The Seventh General Meeting of Asian Consortium on Computational Materials Science-Virtual Organization
  • Place of Presentation: ホテル松島大観荘（宮城県松島町）
  • Invited
• [Presentation] Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs
  • Author(s): 熊谷 隆
  • Organizer: 2012Advances on fractals and related topics
  • Place of Presentation: CUHK,香港,中国
  • Invited
• [Presentation] On the precise Gaussian heat kernel lower bounds
  • Author(s): 熊谷 隆
  • Organizer: IWPT2013
  • Place of Presentation: 北海道大学（北海道札幌市）
  • Invited
• [Presentation] One-dimensional quantum walks
  • Author(s): 楯 辰哉
  • Organizer: 第 8 回代数・解析・幾何学セミナー
  • Place of Presentation: 鹿児島大学（鹿児島県鹿児島市）
  • Invited
• [Presentation] Metric measure geometry for high-dimensional spaces
  • Author(s): 塩谷 隆
  • Organizer: リーマン幾何と幾何解析
  • Place of Presentation: 筑波大学（茨城県つくば市）
  • Invited
• [Presentation] Singular set of the mean curvature ow
  • Author(s): R.Miyaoka
  • Organizer: Informal geometry seminar
  • Place of Presentation: King's College London,ロンドン,イギリス）
  • Invited
• [Presentation] Metric measure geometry of high-dimensional spaces
  • Author(s): T. Shioya
  • Organizer: The 5th GCOE Internal Symposium on "Weaving Science Web beyond Particle-Matter Hierarchy
  • Place of Presentation: 東北大学理学部（宮城県仙台市）
  • Invited
• [Presentation] Singular set of the mean curvature flow
  • Author(s): 宮岡礼子
  • Organizer: GCOE 小研究集会-Minimal submanifolds and mean curvature flow-
  • Place of Presentation: KKR 蔵王白銀荘（宮城県蔵王町）
  • Invited
• [Book] Spectral Analysis of Growing Graphs---A Quantum Probability Point of View (2017)
  • Author(s): Nobuaki Obata
  • Publisher: Springer, Tokyo
  • ISBN: 9789811035050
• [Book] Gromov's theory of convergence and concentration of metrics and measures (2016)
  • Author(s): Shioya, Takashi
  • Total Pages: 194
  • Publisher: EMS Publishing House
• [Book] 現代幾何学への招待 (2016)
  • Author(s): 宮岡礼子
  • Total Pages: 144
  • Publisher: サイエンス社
• [Book] Random Walks on Disordered Media and their Scaling Limits. Lecture Notes in Mathematics, Vol. 2101, Ecole d Ete de Probabilites de Saint-Flour XL - 2010 (2014)
  • Author(s): T. Kumagai
  • Total Pages: 147
  • Publisher: Springer, New York
• [Remarks] Takashi Kumagai's Homepage
  • URL: http://www.kurims.kyoto-u.ac.jp/~kumagai/kumpre.html
• [Funded Workshop] RIMS workshop Stochastic Analysis (2015)
  • Place of Presentation: 京都大学理学研究科（京都市）
  • Year and Date: 2015-09-07