数理科学科

研究成果

年別の研究成果 1977 2008 2010 2011 2012 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023

• 369 Article
• 38 Conference contribution
• 8 Conference article
• 3 Chapter
• 9 その他
  • 3 Comment/debate
  • 3 Editorial
  • 2 Paper
  • 1 Review article

年別の研究成果

年別の研究成果

検索結果

• 2012

  Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

  Kurihara, M., 2012 4月, In: Proceedings of the London Mathematical Society. 104, 4, p. 728-769 42 p.

  研究成果: Article › 査読

  • CM-field 100%
  • Iwasawa Theory 99%
  • Ideal Class Group 94%
  • Gauss Sums 91%
  • Refinement 61%
  9 被引用数 (Scopus)

• Shifted fourth moment of the Riemann zeta-function

  Shimomura, S., 2012 9月, In: Acta Mathematica Hungarica. 137, 1-2, p. 104-129 26 p.

  研究成果: Article › 査読

  • Riemann zeta function 100%
  • Asymptotic Formula 99%
  • Moment 73%
  • Line 70%
  • Range of data 65%
  1 被引用数 (Scopus)

• Solvability of an initial-boundary value problem for a second order parabolic system with a third order dispersion term

  Aiki, M. & Iguchi, T., 2012, In: SIAM Journal on Mathematical Analysis. 44, 5, p. 3388-3411 24 p.

  研究成果: Article › 査読

  • Vortex Filament 100%
  • Second-order Systems 76%
  • Boundary value problems 76%
  • Parabolic Systems 74%
  • Initial-boundary-value Problem 60%
  1 被引用数 (Scopus)

• Spanning trees in 3-connected K _3,t-minor-free graphs

  Ota, K. & Ozeki, K., 2012 9月, In: Journal of Combinatorial Theory. Series B. 102, 5, p. 1179-1188 10 p.

  研究成果: Article › 査読

  • Spanning tree 100%
  • Minor 90%
  • Maximum Degree 46%
  • Graph in graph theory 45%
  • Connected graph 39%
  5 被引用数 (Scopus)

• Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope

  Iimura, T., Murota, K. & Tamura, A., 2012 3月, In: Discrete Applied Mathematics. 160, 4-5, p. 588-592 5 p.

  研究成果: Article › 査読

  • Sperner's Lemma 100%
  • Zero Point 78%
  • Economic Model 41%
  • Economics 40%
  • Game 25%

• Spontaneous flash communication of females in an Asian firefly

  Takatsu, H., Minami, M., Tainaka, K. I. & Yoshimura, J., 2012 9月, In: Journal of Ethology. 30, 3, p. 355-360 6 p.

  研究成果: Article › 査読

  • Lampyridae 100%
  • advertisement 24%
  • bioluminescence 11%
  • duration 10%
  • parameter 9%
  3 被引用数 (Scopus)
• 2011

  A mathematical analysis of tsunami generation in shallow water due to seabed deformation

  Iguchi, T., 2011 6月, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 141, 3, p. 551-608 58 p.

  研究成果: Article › 査読

  • Tsunami 100%
  • Shallow Water 77%
  • Mathematical Analysis 62%
  • Velocity Field 32%
  • Earthquake 20%
  10 被引用数 (Scopus)

• A structural model on a hypercube represented by optimal transport

  Sei, T., 2011 7月, In: Statistica Sinica. 21, 3, p. 1291-1314 24 p.

  研究成果: Article › 査読

  • Structural Model 100%
  • Optimal Transport 93%
  • Hypercube 74%
  • Gradient 57%
  • Model 24%

• Construction of Hamilton Path Tournament Designs

  Ikebe, Y. T. & Tamura, A., 2011 9月 1, In: Graphs and Combinatorics. 27, 5, p. 703-711 9 p.

  研究成果: Article › 査読

  • Hamilton Path 100%
  • Tournament 74%
  • Design 42%
  • Schedule 17%
  • Divisible 17%

• Forbidden induced subgraphs for star-free graphs

  Fujisawa, J., Ota, K., Ozeki, K. & Sueiro, G., 2011 11月 6, In: Discrete Mathematics. 311, 21, p. 2475-2484 10 p.

  研究成果: Article › 査読

  • Forbidden Induced Subgraph 100%
  • Star 67%
  • Connected graph 48%
  • Claw 42%
  • Family 35%
  6 被引用数 (Scopus)

• Forbidden triples for perfect matchings

  Ota, K., Plummer, M. D. & Saito, A., 2011 7月, In: Journal of Graph Theory. 67, 3, p. 250-259 10 p.

  研究成果: Article › 査読

  • Perfect Matching 100%
  • Induced Subgraph 47%
  • Graph theory 45%
  • Graph in graph theory 43%
  • Connected graph 38%
  6 被引用数 (Scopus)

• Metric inhomogeneous Diophantine approximation on the field of formal Laurent series

  Kim, D. H. & Nakada, H., 2011, In: Acta Arithmetica. 150, 2, p. 129-142 14 p.

  研究成果: Article › 査読
  11 被引用数 (Scopus)

• N-flips in even triangulations on the torus and Dehn twists preserving monodromies

  Higuchi, Y., Nakamoto, A., Ota, K. & Sakuma, T., 2011 7月 6, In: Discrete Mathematics. 311, 13, p. 1128-1135 8 p.

  研究成果: Article › 査読

  • Dehn Twist 100%
  • Flip 80%
  • Triangulation 67%
  • Torus 57%
  • Isotopy 42%
  7 被引用数 (Scopus)

• On Bessel integrals for reducible degenerate principal series representations

  Miyazaki, T., 2011 5月 1, In: Journal of Functional Analysis. 260, 9, p. 2579-2597 19 p.

  研究成果: Article › 査読

  • Series Representation 100%
  • Friedrich Wilhelm Bessel 98%
  • Character 69%
  • Symmetric matrix 43%
  • Signature 43%
  1 被引用数 (Scopus)

• On Schweiger's problems on fully subtractive algorithms

  Fokkink, R., Kraaikamp, C. & Nakada, H., 2011 11月, In: Israel Journal of Mathematics. 186, 1, p. 285-296 12 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  6 被引用数 (Scopus)

• On Siegel-Eisenstein series attached to certain cohomological representations

  Miyazaki, T., 2011, In: Journal of the Mathematical Society of Japan. 63, 2, p. 599-646 48 p.

  研究成果: Article › 査読

  • Eisenstein Series 100%
  • Harmonic Polynomials 56%
  • Confluent Hypergeometric Function 54%
  • Waveform 50%
  • Mellin Transform 50%
  1 被引用数 (Scopus)

• Spanning trees with bounded total excess

  Enomoto, H., Ohnishi, Y. & Ota, K., 2011 10月 1, In: Ars Combinatoria. 102, p. 289-295 7 p.

  研究成果: Article › 査読

  • Excess 100%
  • Spanning tree 95%
  • Connected graph 45%
  • Number of Components 21%
  • Subset 21%
  2 被引用数 (Scopus)

• Spectral Gap for Multi-species Exclusion Processes

  Nagahata, Y. & Sasada, M., 2011 4月, In: Journal of Statistical Physics. 143, 2, p. 381-398 18 p.

  研究成果: Article › 査読

  • hyperplanes 100%
  • Exclusion Process 91%
  • Spectral Gap 74%
  • exclusion 71%
  • eigenvalues 55%
  5 被引用数 (Scopus)

• Stickelberger ideals and Fitting ideals of class groups for abelian number fields

  Kurihara, M. & Miura, T., 2011 7月, In: Mathematische Annalen. 350, 3, p. 549-575 27 p.

  研究成果: Article › 査読

  • Class Group 100%
  • Number field 80%
  • Wiles 65%
  • CM-field 61%
  • Ideal Class Group 58%
  7 被引用数 (Scopus)

• The existence of a 2-factor in K_{1, n}-free graphs with large connectivity and large edge-connectivity

  Aldred, R. E. L., Egawa, Y., Fujisawa, J., Ota, K. & Saito, A., 2011 9月, In: Journal of Graph Theory. 68, 1, p. 77-89 13 p.

  研究成果: Article › 査読

  • Edge-connectivity 100%
  • Connectivity 75%
  • Minimum Degree 64%
  • Graph in graph theory 38%
  • Degree Condition 27%
  10 被引用数 (Scopus)

• Toughness of K_a,t-minor-free graphs

  Chen, G., Egawa, Y., Kawarabayashi, K. I., Mohar, B. & Ota, K., 2011, In: Electronic Journal of Combinatorics. 18, 1

  研究成果: Article › 査読

  Open Access

  • Toughness 100%
  • Minor 65%
  • Planar graph 38%
  • Connected graph 34%
  • Graph in graph theory 32%
  4 被引用数 (Scopus)

• Truncated solutions of the fifth Painlevé equation

  Shimomura, S., 2011 11月 30, In: Funkcialaj Ekvacioj. 54, 3, p. 451-471 21 p.

  研究成果: Article › 査読

  • Sector 100%
  • Pole 43%
  • Infinity 32%
  • Family 22%
  7 被引用数 (Scopus)
• 2010

  A GMRES(m) method with two stage deflated preconditioners

  Shiroishi, J. & Nodera, T., 2010 12月 1, In: ANZIAM Journal. 52, p. C222-C236

  研究成果: Article › 査読

  • GMRES 100%
  • Smallest Eigenvalue 92%
  • Preconditioner 76%
  • Deflation 53%
  • Sparse Linear Systems 53%
  1 被引用数 (Scopus)

• Algebraic independence results for the sixteen families of q-series

  Elsner, C., Shimomura, S., Shiokawa, I. & Tachiya, Y., 2010 4月 29, In: Ramanujan Journal. 22, 3, p. 315-344 30 p.

  研究成果: Article › 査読

  • Independence Results 100%
  • Algebraic Independence 97%
  • Q-series 92%
  • Family 32%
  • Jacobian Elliptic Function 19%
  2 被引用数 (Scopus)

• Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

  Elsner, C., Shimomura, S. H. & Shiokawa, I., 2010 12月 1, In: Fundamental and Applied Mathematics. 16, 5, p. 173-200 28 p.

  研究成果: Article › 査読

  • Lame number 100%
  • Algebraic Independence 60%
  • Term 47%

• Algebraic theta functions and the p-adic interpolation of eisenstein-kronecker numbers

  Bannai, K. & Kobayashi, S., 2010 6月, In: Duke Mathematical Journal. 153, 2, p. 229-295 67 p.

  研究成果: Article › 査読

  • Algebraic function 100%
  • Theta Functions 86%
  • L-function 85%
  • P-adic 78%
  • Complex multiplication 69%
  12 被引用数 (Scopus)

• A remark on Nesterenko's theorem for Ramanujan functions

  Elsner, C., Shimomura, S. & Shiokawa, I., 2010 1月, In: Ramanujan Journal. 21, 2, p. 211-221 11 p.

  研究成果: Article › 査読

  • Q-series 100%
  • Ramanujan 79%
  • Algebraic Independence 52%
  • Theorem 30%
  • Distinct 26%
  4 被引用数 (Scopus)

• Exploratory analysis of spatial-temporal patterns in length-frequency data: An example of distributional regression trees

  Lennert-Cody, C. E., Minami, M., Tomlinson, P. K. & Maunder, M. N., 2010 3月, In: Fisheries Research. 102, 3, p. 323-326 4 p.

  研究成果: Article › 査読

  • fishery 100%
  • fisheries 79%
  • Thunnus albacares 61%
  • temporal distribution 60%
  • divergence 54%
  9 被引用数 (Scopus)

• Forbidden subgraphs and the existence of spanning k-trees

  Ota, K. & Sugiyama, T., 2010 12月 28, In: Discrete Mathematics. 310, 24, p. 3506-3511 6 p.

  研究成果: Article › 査読

  • K-tree 100%
  • Forbidden Subgraph 95%
  • Hamiltonian path 29%
  • Hamiltonian circuit 26%
  • Maximum Degree 22%
  1 被引用数 (Scopus)

• Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence

  Katsura, T., Muhly, P. S., Sims, A. & Tomforde, M., 2010 3月, In: Journal fur die Reine und Angewandte Mathematik. 640, p. 135-165 31 p.

  研究成果: Article › 査読

  • Graph Algebra 100%
  • Morita Equivalence 92%
  • Algebra 74%
  • Real Rank Zero 20%
  • Gauge 15%
  16 被引用数 (Scopus)

• K₆-minors in triangulations on the nonorientable surface of genus 3

  Mukae, R., Nakamoto, A., Oda, Y. & Suzuki, Y., 2010 7月, In: Graphs and Combinatorics. 26, 4, p. 559-570 12 p.

  研究成果: Article › 査読

  • Non-orientable Surface 100%
  • Triangulation 73%
  • Minor 70%
  • Genus 61%
  • Characterization 26%
  5 被引用数 (Scopus)

• Large deviation for stochastic line integrals as L^p-currents

  Kusuoka, S., Kuwada, K. & Tamura, Y., 2010 7月, In: Probability Theory and Related Fields. 147, 3, p. 649-667 19 p.

  研究成果: Article › 査読

  • Large Deviations 100%
  • Stochastic Integral 82%
  • Curvilinear integral 82%
  • Sobolev Spaces 64%
  • Integral 62%
  7 被引用数 (Scopus)

• Nonseparable UHF algebras I: Dixmier's problem

  Farah, I. & Katsura, T., 2010 10月, In: Advances in Mathematics. 225, 3, p. 1399-1430 32 p.

  研究成果: Article › 査読

  • Nonseparable 100%
  • Axiom 50%
  • Algebra 48%
  • C*-algebra 26%
  • Counterexample 24%
  29 被引用数 (Scopus)

• On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves

  Bannai, K., Kobayashi, S. & Tsuji, T., 2010, In: Annales Scientifiques de l'Ecole Normale Superieure. 43, 2, p. 185-234 50 p.

  研究成果: Article › 査読

  Open Access

  • Polylogarithms 100%
  • P-adic 71%
  • Elliptic Curves 69%
  • P-adic L-function 20%
  • Torsion Points 19%
  9 被引用数 (Scopus)

• On the number of omitted values by a meromorphic function of finite energy and heat diffusions

  Atsuji, A., 2010 10月, In: Journal of Geometric Analysis. 20, 4, p. 1008-1025 18 p.

  研究成果: Article › 査読

  • Heat Diffusion 100%
  • Meromorphic Function 73%
  • Energy 49%
  • Algebraic Variety 26%
  • Ricci Curvature 26%
  5 被引用数 (Scopus)

• P-adic elliptic polylogarithm, p-adic eisenstein series and Katz measure

  Bannai, K. & Kings, G., 2010 12月 1, In: American Journal of Mathematics. 132, 6, p. 1609-1654 46 p.

  研究成果: Article › 査読

  • Polylogarithms 100%
  • Eisenstein Series 89%
  • P-adic 71%
  • Modular Curves 37%
  • Modular Forms 31%
  6 被引用数 (Scopus)

• Robust extraction of local structures by the minimum β-divergence method

  Nurul Haque Mollah, M., Sultana, N., Minami, M. & Eguchi, S., 2010 3月, In: Neural Networks. 23, 2, p. 226-238 13 p.

  研究成果: Article › 査読

  • Principal component analysis 100%
  • Principal Component Analysis 75%
  • Tuning 41%
  • Learning algorithms 22%
  • Learning 13%
  27 被引用数 (Scopus)
• 2009

  3-trees with few vertices of degree 3 in circuit graphs

  Nakamoto, A., Oda, Y. & Ota, K., 2009 3月 6, In: Discrete Mathematics. 309, 4, p. 666-672 7 p.

  研究成果: Article › 査読

  • Connected graph 100%
  • Disjoint Paths 73%
  • Plane Graph 71%
  • Euler Characteristic 67%
  • Spanning tree 63%
  12 被引用数 (Scopus)

• An approximate matrix inversion procedure by parallelization of the sherman-morrison formula

  Moriya, K., Zhang, L. & Nodera, T., 2009 7月, In: ANZIAM Journal. 51, 1, p. 1-9 9 p.

  研究成果: Article › 査読

  • Sherman-Morrison Formula 100%
  • Matrix Inversion 83%
  • Parallelization 80%
  • Preconditioner 62%
  • Matrix Factorization 61%
  1 被引用数 (Scopus)

• A note on the GMRES method for linear discrete ill-posed problems

  Kuroiwa, N. & Nodera, T., 2009 12月 1, In: Advances in Applied Mathematics and Mechanics. 1, 6, p. 816-829 14 p.

  研究成果: Article › 査読

  • GMRES Method 100%
  • Ill-posed Problem 77%
  • Norm 44%
  • Update 35%
  • Stabilization 31%
  1 被引用数 (Scopus)

• A shallow water approximation for water waves: Dedicated to the late professor Alexandre V. Kazhikhov

  Iguchi, T., 2009, In: Kyoto Journal of Mathematics. 49, 1, p. 13-55 43 p.

  研究成果: Article › 査読

  Open Access
  23 被引用数 (Scopus)

• A two-phase problem for capillary-gravity waves and the Benjamin-Ono equation

  Ohi, K. & Iguchi, T., 2009 4月, In: Discrete and Continuous Dynamical Systems. 23, 4, p. 1205-1240 36 p.

  研究成果: Article › 査読

  • Gravity waves 100%
  • Capillary-gravity Waves 97%
  • Benjamin-Ono Equation 94%
  • Free Boundary Problem 46%
  • Stratified Fluid 29%
  8 被引用数 (Scopus)

• Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences

  Tanaka, T. A., 2009 12月, In: Journal of Number Theory. 129, 12, p. 3081-3093 13 p.

  研究成果: Article › 査読

  • Algebraic Independence 100%
  • Linear Recurrence 90%
  • Continued fraction 73%
  • Corollary 55%
  • Distinct 50%
  1 被引用数 (Scopus)

• Confinement of the two dimensional discrete Gaussian free field between two hard walls

  Sakagawa, H., 2009 1月 1, In: Electronic Journal of Probability. 14, p. 2310-2327 18 p.

  研究成果: Article › 査読

  Open Access

  • Asymptotic Behavior 100%
  • Fluctuations 40%
  • Precise Asymptotics 23%
  • High-dimensional 15%
  • Infinity 13%
  1 被引用数 (Scopus)

• Cuntz-Krieger algebras and C ^*-algebras of topological graphs

  Katsura, T., 2009 12月, In: Acta Applicandae Mathematicae. 108, 3, p. 617-624 8 p.

  研究成果: Article › 査読

  • Cuntz-Krieger Algebra 100%
  • Chain Graph 97%
  • Topological Graph 97%
  • Algebra 71%
  • Markov chains 67%
  5 被引用数 (Scopus)

• Entropic repulsion of the massless field with a class of self-potentials

  Sakagawa, H., 2009 5月, In: Journal of Statistical Physics. 135, 3, p. 467-481 15 p.

  研究成果: Article › 査読

  • Entropic Repulsion 100%
  • Gaussian Fields 75%
  • Interaction 41%
  • Gradient 21%
  • Model 18%
  1 被引用数 (Scopus)

• Meromorphic solutions of difference Painlevé equations

  Shimomura, S., 2009 11月 20, In: Journal of Physics A: Mathematical and Theoretical. 42, 31, 315213.

  研究成果: Article › 査読

  • Meromorphic Solution 100%
  • difference equations 97%
  • Difference equations 96%
  • Asymptotics of Solutions 86%
  • Linear systems 69%
  2 被引用数 (Scopus)

• Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras

  Katsura, T., Sims, A. & Tomforde, M., 2009 9月 1, In: Journal of Functional Analysis. 257, 5, p. 1589-1620 32 p.

  研究成果: Article › 査読

  • Graph Algebra 100%
  • Graph C*-algebra 46%
  • Algebra 39%
  • C*-algebra 18%
  • Finite Graph 10%
  7 被引用数 (Scopus)

• Some estimates for logarithmic derivatives of meromorphic functions

  Shimomura, S., 2009 1月 1, In: Results in Mathematics. 54, 1-2, p. 173-182 10 p.

  研究成果: Article › 査読

  • Logarithmic Derivative 100%
  • Meromorphic Function 77%
  • Derivatives 63%
  • Estimate 35%

• Spanning trees in 3-connected K_3,t-minor-free graphs

  Ota, K. & Ozeki, K., 2009 8月 1, In: Electronic Notes in Discrete Mathematics. 34, p. 145-149 5 p.

  研究成果: Article › 査読

  • Spanning tree 100%
  • Minor 90%
  • Planar graph 59%
  • Graph in graph theory 45%
  • Maximum Degree 31%
  2 被引用数 (Scopus)