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

• 360 Article
• 34 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

• 2007

  Bayesian prediction and model selection for locally asymptotically mixed normal models

  Sei, T. & Komaki, F., 2007 7月 1, In: Journal of Statistical Planning and Inference. 137, 7, p. 2523-2534 12 p.

  研究成果: Article › 査読

  • Model Selection 100%
  • Bayesian Prediction 91%
  • Bayesian Model 74%
  • Prediction 54%
  • Normality 37%
  6 被引用数 (Scopus)

• Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls

  Sakagawa, H., 2007 11月, In: Journal of Statistical Physics. 129, 3, p. 537-553 17 p.

  研究成果: Article › 査読

  • High-dimensional 100%
  • infinity 61%
  • Precise Asymptotics 51%
  • Asymptotic Behavior 28%
  • Infinity 27%
  2 被引用数 (Scopus)

• Independence number and vertex-disjoint cycles

  Egawa, Y., Enomoto, H., Jendrol, S., Ota, K. & Schiermeyer, I., 2007 5月 28, In: Discrete Mathematics. 307, 11-12, p. 1493-1498 6 p.

  研究成果: Article › 査読

  • Independence number 100%
  • Disjoint 68%
  • Cycle 60%
  • Vertex of a graph 49%
  • Graph in graph theory 26%
  8 被引用数 (Scopus)

• Some ergodic properties of the negative slope algorithm

  Ishimura, K. & Nakada, H., 2007 9月 1, In: Osaka Journal of Mathematics. 44, 3, p. 667-683 17 p.

  研究成果: Article › 査読

  • Slope 100%
  • Absolutely Continuous Invariant Measure 97%
  • Interval Exchange Transformation 50%
  • Natural Extension 35%
  • Marginal Distribution 35%
  4 被引用数 (Scopus)
• 2008

  Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers

  Elsner, C., Shimomura, S. & Shiokawa, I., 2008, In: Molecular Neurodegeneration. 3, 1, p. 429-446 18 p.

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

• A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds

  Atsuji, A., 2008 4月, In: Journal of the Mathematical Society of Japan. 60, 2, p. 471-493 23 p.

  研究成果: Article › 査読

  • Nevanlinna Theory 100%
  • Meromorphic Function 69%
  • Theorem 28%
  • Imply 14%
  6 被引用数 (Scopus)

• A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in Cⁿ

  Atsuji, A., 2008 9月, In: Potential Analysis. 29, 2, p. 119-138 20 p.

  研究成果: Article › 査読

  • Nevanlinna Theory 100%
  • Error term 70%
  • Meromorphic Function 69%
  • Submanifolds 63%
  • Ricci Curvature 37%

• Forbidden subgraphs and the existence of paths and cycles passing through specified vertices

  Fujisawa, J., Ota, K., Sugiyama, T. & Tsugaki, M., 2008 12月 28, In: Discrete Mathematics. 308, 24, p. 6111-6114 4 p.

  研究成果: Article › 査読

  • Forbidden Subgraph 100%
  • Connected graph 61%
  • Claw 53%
  • Cycle 53%
  • Path 52%
  2 被引用数 (Scopus)

• Information geometry of small diffusions

  Sei, T. & Komaki, F., 2008 6月 1, In: Statistical Inference for Stochastic Processes. 11, 2, p. 123-141 19 p.

  研究成果: Article › 査読

  • Information Geometry 100%
  • Diffusion Model 83%
  • Identically distributed 68%
  • Connection Coefficients 52%
  • Asymptotic Theory 39%

• K_{1, 3}-factors in graphs

  Egawa, Y., Fujita, S. & Ota, K., 2008 12月 28, In: Discrete Mathematics. 308, 24, p. 5965-5973 9 p.

  研究成果: Article › 査読

  • Minimum Degree 100%
  • Disjoint 76%
  • Odd 69%
  • Vertex of a graph 54%
  • Integer 50%
  3 被引用数 (Scopus)

• On 2-Factors in r-Connected (K_{1, k}, P₄)-Free Graphs

  Egawa, Y., Fujisawa, J., Fujita, S. & Ota, K., 2008, In: Tokyo Journal of Mathematics. 31, 2, p. 415-420 6 p.

  研究成果: Article › 査読

  • Minimum Degree 100%
  • Proposition 97%
  • Graph in graph theory 66%
  3 被引用数 (Scopus)

• On a labor allocation model with possibly bounded salaries

  Farooq, R., Ikebe, Y. T. & Tamura, A., 2008 6月, In: Journal of the Operations Research Society of Japan. 51, 2, p. 136-154 19 p.

  研究成果: Article › 査読

  Open Access

  • Pairwise Stability 100%
  • Labour Allocation 83%
  • Salary 53%
  • Assignment Model 40%
  • Marriage 31%
  2 被引用数 (Scopus)

• On the existence of sports schedules with multiple venues

  Ikebe, Y. T. & Tamura, A., 2008 5月 28, In: Discrete Applied Mathematics. 156, 10, p. 1694-1710 17 p.

  研究成果: Article › 査読

  • Sports 100%
  • Schedule 79%
  • Even number 28%
  • Game 20%
  • Arbitrary 12%
  5 被引用数 (Scopus)

• Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation

  Greither, C. & Kurihara, M., 2008 12月, In: Mathematische Zeitschrift. 260, 4, p. 905-930 26 p.

  研究成果: Article › 査読

  • CM-field 100%
  • Dualization 98%
  • Class Group 81%
  • Projective Limit 31%
  • Evidence 19%
  17 被引用数 (Scopus)

• The adaptive augmented GMRES method for solving ill-posed problems

  Kuroiwa, N. & Nodera, T., 2008 12月 1, In: ANZIAM Journal. 50, SUPPL., p. C654-C667

  研究成果: Article › 査読

  • GMRES Method 100%
  • Ill-posed Problem 77%
  • Augmentation 51%
  • Krylov Subspace 35%
  • Subspace 20%
  4 被引用数 (Scopus)

• The non-monotonicity of the entropy of α-continued fraction transformations

  Nakada, H. & Natsui, R., 2008 6月 1, In: Nonlinearity. 21, 6, p. 1207-1225 19 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Entropy 82%
  • entropy 71%
  • Tend 55%
  • Vary 42%
  23 被引用数 (Scopus)

• Ultragraph C*-algebras via topological quivers

  Katsura, T., Muhly, P. S., Sims, A. & Tomforde, M., 2008, In: Studia Mathematica. 187, 2, p. 137-155 19 p.

  研究成果: Article › 査読

  • C*-algebra 100%
  • Graph C*-algebra 82%
  • K-theory 57%
  • Gauge 56%
  • Object 36%
  10 被引用数 (Scopus)

• Usage of the convergence test of the residual norm in the Tsuno-Nodera version of the GMRES algorithm

  Moriya, K. & Nodera, T., 2008, In: ANZIAM Journal. 49, 2, p. 293-308 16 p.

  研究成果: Article › 査読

  • GMRES 100%
  • Norm 48%
  • Restart 30%
  • Test for convergence 18%
  • Distribution of Zeros 14%
  1 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)

• Asymptotic representations for fibonacci reciprocal sums and euler’s formulas for zeta values

  Elsner, C., Shimomura, S. & Shiokawa, I., 2009, In: Journal de Theorie des Nombres de Bordeaux. 21, 1, p. 145-157 13 p.

  研究成果: Article › 査読

  • Lucas numbers 100%
  • Asymptotic Representation 98%
  • Lame number 89%
  • Riemann zeta function 74%
  • Critical value 72%
  1 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%
  3 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)

• Twisted mellin transforms of a real analytic residue of siegeleisenstein series of degree 2

  Hasegawa, Y. & Miyazaki, T., 2009 8月, In: International Journal of Mathematics. 20, 8, p. 1011-1027 17 p.

  研究成果: Article › 査読

  • Mellin Transform 100%
  • Series 50%
  • Waveform 50%
  • Series Representation 46%
  • Meromorphic 45%
  2 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%
  15 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%
  4 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%
  27 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%
  8 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%
  26 被引用数 (Scopus)
• 2011

  Algebraic independence results for reciprocal sums of Fibonacci numbers

  Elsner, C., Shimomura, S. & Shiokawa, I., 2011, In: Acta Arithmetica. 148, 3, p. 205-223 19 p.

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

• 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%
  9 被引用数 (Scopus)