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

• 2015

  Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

  Kaneko, H., Tachiya, Y., Kurosawa, T. & Tanaka, T. A., 2015, In: Acta Arithmetica. 168, 2, p. 161-186 26 p.

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

• From Normal Diffusion to Superdiffusion of Energy in the Evanescent Flip Noise Limit

  Bernardin, C., Gonçalves, P., Jara, M., Sasada, M. & Simon, M., 2015 6月 28, In: Journal of Statistical Physics. 159, 6, p. 1327-1368 42 p.

  研究成果: Article › 査読

  • Superdiffusion 100%
  • Flip 79%
  • Energy 47%
  • Heat Equation 32%
  • Scaling 30%
  11 被引用数 (Scopus)

• Hadwiger's conjecture for degree sequences

  Chen, G. & Ota, K., 2015 9月 1, In: Journal of Combinatorial Theory. Series B. 114, p. 247-249 3 p.

  研究成果: Article › 査読

  • Hadwiger's Conjecture 100%
  • Degree Sequence 77%
  • Minor 40%
  • Graph in graph theory 30%
  • Chromatic number 21%
  1 被引用数 (Scopus)

• Nonseparable UHF algebras II: Classification

  Farah, I. & Katsura, T., 2015, In: Mathematica Scandinavica. 117, 1, p. 105-125 21 p.

  研究成果: Article › 査読

  • Nonseparable 100%
  • Algebra 48%
  • Character 44%
  • Uncountable 30%
  • Semigroup 21%
  9 被引用数 (Scopus)

• p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas

  Bannai, K., Furusho, H. & Kobayashi, S., 2015, In: Nagoya Mathematical Journal. 219, 1, p. 269-302 34 p.

  研究成果: Article › 査読

  Open Access

  • P-adic 100%
  • Elliptic Curves 96%
  • Series 63%
  • Analogue 45%
  • Complex multiplication 44%

• Persistence probability for a class of Gaussian processes related to random interface models

  Sakagawa, H., 2015 3月 1, In: Advances in Applied Probability. 47, 1, p. 146-163 18 p.

  研究成果: Article › 査読

  • Persistence 100%
  • Gaussian Process 98%
  • Model 32%
  • Exceed 30%
  • Class 29%
  2 被引用数 (Scopus)

• Recurrence of the Brownian Motion in Multidimensional Semi-selfsimilar Environments and Gaussian Environments

  Kusuoka, S., Takahashi, H. & Tamura, Y., 2015 11月 1, In: Potential Analysis. 43, 4, p. 695-705 11 p.

  研究成果: Article › 査読

  • Recurrence 100%
  • Brownian motion 92%
  • Random Environment 80%
  • Correlation Function 36%
  • Sufficient Conditions 34%
  3 被引用数 (Scopus)

• Series expansions of painlevé transcendents near the point at infinity

  Shimomura, S., 2015 8月 13, In: Funkcialaj Ekvacioj. 58, 2, p. 277-319 43 p.

  研究成果: Article › 査読

  • Asymptotic series 100%
  • Series Expansion 80%
  • Infinity 54%
  • Asymptotic Solution 44%
  • Term 42%
  5 被引用数 (Scopus)

• Solvability of the initial value problem to a model system for water waves

  Murakami, Y. & Iguchi, T., 2015 7月 11, In: Kodai Mathematical Journal. 38, 2, p. 470-491 22 p.

  研究成果: Article › 査読

  Open Access

  • Water Waves 100%
  • Initial Value Problem 73%
  • Solvability 72%
  • Nonlinear Dispersive Equations 31%
  • Model 28%
  5 被引用数 (Scopus)

• Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

  Sasada, M., 2015, In: Annals of Probability. 43, 4, p. 1663-1711 49 p.

  研究成果: Article › 査読

  • Rate Function 100%
  • Spectral Gap 99%
  • Energy 66%
  • Lower bound 34%
  • Model 28%
  9 被引用数 (Scopus)

• Stability and competitive equilibria in multi-unit trading networks with discrete concave utility functions

  Ikebe, Y. T., Sekiguchi, Y., Shioura, A. & Tamura, A., 2015 7月 28, In: Japan Journal of Industrial and Applied Mathematics. 32, 2, p. 373-410 38 p.

  研究成果: Article › 査読

  • Competitive Equilibrium 100%
  • Utility Function 73%
  • Concave function 70%
  • Substitute 55%
  • Unit 43%
  5 被引用数 (Scopus)

• Stability in supply chain networks: An approach by discrete convex analysis

  Ikebe, Y. T. & Tamura, A., 2015 7月, In: Journal of the Operations Research Society of Japan. 58, 3, p. 271-290 20 p.

  研究成果: Article › 査読

  • Convex Analysis 100%
  • Complementarity 70%
  • Supply Chain Network 68%
  • Substitutability 67%
  • Value Function 44%
  2 被引用数 (Scopus)

• The sixth painlevé transcendents and the associated schlesinger equation

  Shimqmura, S., 2015 8月 28, In: Publications of the Research Institute for Mathematical Sciences. 51, 3, p. 417-463 47 p.

  研究成果: Article › 査読

  • Logarithmic 100%
  • Pole 71%
  • Critical point 70%
  • Critical Behavior 52%
  • Analytic Continuation 44%
  6 被引用数 (Scopus)
• 2014

  Algebraic independence results for the values of certain Mahler functions and their application to infinite products

  Kurosawa, T., Tachiya, Y. & Tanaka, T. A., 2014 5月, In: Monatshefte fur Mathematik. 174, 1, p. 77-104 28 p.

  研究成果: Article › 査読

  • Independence Results 100%
  • Algebraic Independence 97%
  • Infinite product 81%
  • Linear Recurrence 43%
  • Entire Function 34%
  1 被引用数 (Scopus)

• Arithmetic properties of solutions of certain functional equations with transformations represented by matrices including a negative entry

  Tanaka, T. A., 2014 6月 1, In: Tokyo Journal of Mathematics. 37, 1, p. 211-223 13 p.

  研究成果: Article › 査読

  • Functional equation 100%
  • Algebraic Independence 78%
  • Independence Results 40%
  • Several Variables 29%
  • Linear Combination 24%

• Equilibrium measures for the Hénon map at the first bifurcation: Uniqueness and geometric/statistical properties

  Senti, S. & Takahasi, H., 2014 11月 17, In: Ergodic Theory and Dynamical Systems. 760, p. 215-255 41 p.

  研究成果: Article › 査読

  • Equilibrium Measure 100%
  • Free energy 91%
  • Statistical property 75%
  • Thermodynamics 66%
  • Bifurcation 59%
  9 被引用数 (Scopus)

• Equivariant version of Rochlin-type congruences

  Furuta, M. & Kametani, Y., 2014, In: Journal of the Mathematical Society of Japan. 66, 1, p. 205-221 17 p.

  研究成果: Article › 査読

  • G-manifolds 100%
  • Equivariant 98%
  • Congruence 92%
  • Congruence Relation 45%
  • High-dimensional 28%
  1 被引用数 (Scopus)

• Farey maps, Diophantine approximation and Bruhat-Tits tree

  Kim, D. H., Lim, S., Nakada, H. & Natsui, R., 2014 11月, In: Finite Fields and their Applications. 30, p. 14-32 19 p.

  研究成果: Article › 査読

  • Diophantine Approximation 100%
  • Gauss Map 41%
  • Geodesic Flow 39%
  • Ergodic Measure 20%
  • Formal Power Series 18%
  2 被引用数 (Scopus)

• Identifying AF-algebras that are graph C^*-algebras

  Eilers, S., Katsura, T., Ruiz, E. & Tomforde, M., 2014 3月 15, In: Journal of Functional Analysis. 266, 6, p. 3968-3996 29 p.

  研究成果: Article › 査読

  • Graph C*-algebra 100%
  • Unital 55%
  • Algebra 36%
  • Quotient 35%
  • If and only if 22%
  2 被引用数 (Scopus)

• Maximal cycles in graphs of large girth

  Fujisawa, J. & Ota, K., 2014, In: SUT Journal of Mathematics. 50, 2, p. 427-438 12 p.

  研究成果: Article › 査読

  • Girth 100%
  • Cycle 66%
  • Circumference 60%
  • Weighted Graph 49%
  • Graph in graph theory 43%

• Motion of a vortex filament with axial flow in the half space

  Aiki, M. & Iguchi, T., 2014 11月 1, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 31, 6, p. 1311-1335 25 p.

  研究成果: Article › 査読

  • Vortex Filament 100%
  • vortex filaments 98%
  • Tornadoes 96%
  • axial flow 87%
  • Axial flow 82%

• On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2

  Miyazaki, T., 2014 4月, In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 84, 1, p. 85-122 38 p.

  研究成果: Article › 査読

  • Eisenstein Series 100%
  • Jacobi 78%
  • Fourier series 52%
  • Jacobi Forms 38%
  • Siegel Modular Forms 37%
  1 被引用数 (Scopus)

• On the equivalence relations of α-continued fractions

  Nakada, H. & Natsui, R., 2014 6月 27, In: Indagationes Mathematicae. 25, 4, p. 800-815 16 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Continued Fraction Expansion 58%
  • Sharing 51%
  • Orbit 37%
  2 被引用数 (Scopus)

• On the invariant uniform Roe algebra

  Katsura, T. & Uuye, O., 2014, In: Journal of Operator Theory. 72, 2, p. 549-556 8 p.

  研究成果: Article › 査読

  • Uniform Algebra 100%
  • Invariant 40%
  • Group C*-algebra 25%
  • Slice 19%
  • Discrete Group 19%
  1 被引用数 (Scopus)

• Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras

  Arklint, S. E., Bentmann, R. & Katsura, T., 2014 7月 8, In: Journal of K-Theory. 14, 3, p. 570-613 44 p.

  研究成果: Article › 査読

  • Cuntz-Krieger Algebra 100%
  • K-theory 73%
  • Primitive Ideal 46%
  • Characterization 36%
  • Real Rank Zero 24%
  7 被引用数 (Scopus)

• The K-theoretical range of Cuntz-Krieger algebras

  Arklint, S. E., Bentmann, R. & Katsura, T., 2014 4月 15, In: Journal of Functional Analysis. 266, 8, p. 5448-5466 19 p.

  研究成果: Article › 査読

  • Cuntz-Krieger Algebra 100%
  • Range of data 42%
  • Graph C*-algebra 42%
  • Unital 27%
  • Invariant 7%
  9 被引用数 (Scopus)

• Theti Fixed-point property of random quotients by plain words

  Izeki, H., 2014, In: Groups, Geometry, and Dynamics. 8, 4, p. 1101-1140 40 p.

  研究成果: Article › 査読

  • Fixed Point Property 100%
  • Quotient 62%
  • Presentation 45%
  • Generating Set 30%
  • Singularity 19%
• 2013

  Algebraic relations with the infinite products generated by Fibonacci numbers

  Kurosawa, T., Tachiya, Y. & Tanaka, T. A., 2013, In: Annales Mathematicae et Informaticae. 41, p. 107-119 13 p.

  研究成果: Article › 査読

  • Infinite product 100%
  • Lame number 97%
  • Subscript 39%
  • Geometric progression 38%
  • Lucas numbers 36%
  3 被引用数 (Scopus)

• Controlling the diffusion profile of electroactive species for selective anodic stripping voltammetry of cadmium at boron-doped diamond electrodes

  Sugitani, A., Watanabe, T., Ivandini, T. A., Iguchi, T. & Einaga, Y., 2013 1月 7, In: Physical Chemistry Chemical Physics. 15, 1, p. 142-147 6 p.

  研究成果: Article › 査読

  • anodic stripping 100%
  • Anodic Stripping Voltammetry 74%
  • cadmium 62%
  • Diamond 55%
  • boron 49%
  12 被引用数 (Scopus)

• Defining population spatial units: Simultaneous analysis of frequency distributions and time series

  Lennert-Cody, C. E., Maunder, M. N., Aires-da-Silva, A. & Minami, M., 2013 3月, In: Fisheries Research. 139, p. 85-92 8 p.

  研究成果: Article › 査読

  • time series analysis 100%
  • Thunnus obesus 95%
  • frequency distribution 92%
  • time series 61%
  • longline fisheries 45%
  4 被引用数 (Scopus)

• Dynamical systems of type (m,n) and their C*-algebras

  Ara, P., Exel, R. & Katsura, T., 2013 10月, In: Ergodic Theory and Dynamical Systems. 33, 5, p. 1291-1325 35 p.

  研究成果: Article › 査読

  • Partial Action 100%
  • Crossed Product 74%
  • Algebra 70%
  • C*-algebra 62%
  • Dynamical systems 54%
  16 被引用数 (Scopus)

• Equilibrium measures for the Hénon map at the first bifurcation

  Senti, S. & Takahasi, H., 2013 6月, In: Nonlinearity. 26, 6, p. 1719-1741 23 p.

  研究成果: Article › 査読

  • Equilibrium Measure 100%
  • Free energy 91%
  • Limit Set 87%
  • Hyperbolicity 85%
  • Free Energy 82%
  11 被引用数 (Scopus)

• Forbidden induced subgraphs for near perfect matchings

  Ota, K., Ozeki, K. & Sueiro, G., 2013, In: Discrete Mathematics. 313, 11, p. 1267-1280 14 p.

  研究成果: Article › 査読

  • Forbidden Induced Subgraph 100%
  • Perfect Matching 80%
  • Triangle-free 39%
  • Graph in graph theory 34%
  • Family 28%
  1 被引用数 (Scopus)

• Forbidden Induced Subgraphs for Perfect Matchings

  Ota, K. & Sueiro, G., 2013 1月 1, In: Graphs and Combinatorics. 29, 2, p. 289-299 11 p.

  研究成果: Article › 査読

  • Forbidden Induced Subgraph 100%
  • Perfect Matching 80%
  • Family 35%
  • Graph in graph theory 34%
  • Graph theory 29%
  4 被引用数 (Scopus)

• Forbidden induced subgraphs for toughness

  Ota, K. & Sueiro, G., 2013 6月, In: Journal of Graph Theory. 73, 2, p. 191-202 12 p.

  研究成果: Article › 査読

  • Toughness 100%
  • Forbidden Induced Subgraph 92%
  • Graph in graph theory 32%
  • Connected graph 28%
  • Forbidden Subgraph 23%
  2 被引用数 (Scopus)

• Large-time behavior of solutions to an outflow problem for a shallow water model

  Kwon, B., Suzuki, M. & Takayama, M., 2013 10月 1, In: Journal of Differential Equations. 255, 7, p. 1883-1904 22 p.

  研究成果: Article › 査読

  • Shallow Water 100%
  • Large Time Behavior 89%
  • Behavior of Solutions 81%
  • Boundary layers 74%
  • Boundary Layer 55%
  9 被引用数 (Scopus)
• 2012

  Algebraic independence of certain numbers related to modular functions

  Elsner, C., Shimomura, S. & Shiokawa, I., 2012, In: Functiones et Approximatio, Commentarii Mathematici. 47, 1, p. 121-141 21 p.

  研究成果: Article › 査読

  • Algebraic Independence 100%
  • Modular Functions 91%
  • Q-series 63%
  • Ramanujan 50%
  • Independence Results 34%

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

  Elsner, C., Shimomura, S. & Shiokawa, I., 2012 2月, In: Journal of Mathematical Sciences. 180, 5, p. 650-671 22 p.

  研究成果: Article › 査読

  • Rational functions 100%
  • Lame number 84%
  • Term 40%
  • Algebraic Independence 25%
  • Lucas numbers 23%
  4 被引用数 (Scopus)

• An efficient implementation of the block Gram,Schmidt method

  Matsuo, Y. & Nodera, T., 2012 12月 1, In: ANZIAM Journal. 54, SUPPL, p. C476-C491

  研究成果: Article › 査読

  • QR Factorization 100%
  • Efficient Implementation 87%
  • Numerical Experiment 26%
  • Dependent 24%
  • Computing 22%

• Anticipatory postural adjustments contribute to age-related changes in compensatory steps associated with unilateral perturbations

  Hyodo, M., Saito, M., Ushiba, J., Tomita, Y., Minami, M. & Masakado, Y., 2012 7月 1, In: Gait and Posture. 36, 3, p. 625-630 6 p.

  研究成果: Article › 査読

  • Elderly 100%
  • Accidental Falls 67%
  • Foot 17%
  14 被引用数 (Scopus)

• Book embedding of toroidal bipartite graphs

  Nakamoto, A., Ota, K. & Ozeki, K., 2012, In: SIAM Journal on Discrete Mathematics. 26, 2, p. 661-669 9 p.

  研究成果: Article › 査読

  • Book Embedding 100%
  • Ring or annulus 69%
  • Bipartite Graph 59%
  • Torus 52%
  • Quadrangulation 45%
  4 被引用数 (Scopus)

• Continuous limit of the difference second Painlevé equation and its asymptotic solutions

  Shimomura, S., 2012, In: Journal of the Mathematical Society of Japan. 64, 3, p. 733-781 49 p.

  研究成果: Article › 査読

  • Asymptotic Solution 100%
  • Rational Solutions 36%
  • Difference equation 26%
  • Family 14%
  5 被引用数 (Scopus)

• Hamiltonian cycles with all small even chords

  Chen, G., Ota, K., Saito, A. & Zhao, Y., 2012 3月 28, In: Discrete Mathematics. 312, 6, p. 1226-1240 15 p.

  研究成果: Article › 査読

  • Hamiltonian circuit 100%
  • Chord or secant line 97%
  • Minimum Degree 18%
  • Regular Graph 17%
  • Graph in graph theory 16%
  2 被引用数 (Scopus)

• Ideal class groups of CM-fields with non-cyclic galois action

  Kurihara, M. & Miura, T., 2012 12月, In: Tokyo Journal of Mathematics. 35, 2, p. 411-439 29 p.

  研究成果: Article › 査読

  • CM-field 100%
  • Ideal Class Group 94%
  • Galois 73%
  • Annihilator 26%
  • Roots of Unity 24%
  3 被引用数 (Scopus)

• Matching with partially ordered contracts

  Farooq, R., Fleiner, T. & Tamura, A., 2012 10月, In: Japan Journal of Industrial and Applied Mathematics. 29, 3, p. 401-417 17 p.

  研究成果: Article › 査読

  • Fixed point theorem 100%
  • Many to many 98%
  • Model Matching 89%
  • Economic Model 82%
  • Market 63%
  4 被引用数 (Scopus)

• Maximal K₃'s and Hamiltonicity of 4-connected claw-free graphs

  Fujisawa, J. & Ota, K., 2012 5月, In: Journal of Graph Theory. 70, 1, p. 40-53 14 p.

  研究成果: Article › 査読

  • Hamiltonicity 100%
  • Claw-free Graphs 97%
  • Graph theory 76%
  • Connected graph 63%
  • Theorem 31%
  1 被引用数 (Scopus)

• Motion of a vortex filament in the half-space

  Aiki, M. & Iguchi, T., 2012 9月, In: Nonlinear Analysis, Theory, Methods and Applications. 75, 13, p. 5180-5185 6 p.

  研究成果: Article › 査読

  • Vortex Filament 100%
  • Half-space 64%
  • Vortex flow 59%
  • Motion 49%
  • Tornadoes 48%
  5 被引用数 (Scopus)

• N-step energy of maps and the fixed-point property of random groups

  Izeki, H., Kondo, T. & Nayatani, S., 2012, In: Groups, Geometry, and Dynamics. 6, 4, p. 701-736 36 p.

  研究成果: Article › 査読

  • Fixed Point Property 100%
  • CAT(0) Spaces 71%
  • Buildings 68%
  • Energy 54%
  • Euclidean 44%
  6 被引用数 (Scopus)

• On the Free Energy of a Gaussian Membrane Model with External Potentials

  Sakagawa, H., 2012 4月, In: Journal of Statistical Physics. 147, 1, p. 18-34 17 p.

  研究成果: Article › 査読

  • Free Energy 100%
  • Membrane 92%
  • free energy 75%
  • membranes 67%
  • Model 30%
  3 被引用数 (Scopus)

• Rational solutions of difference painlevé equations

  Shimomura, S., 2012 6月, In: Tokyo Journal of Mathematics. 35, 1, p. 85-95 11 p.

  研究成果: Article › 査読

  • Rational Solutions 100%
  • Difference equation 73%
  • Fixed point 14%
  1 被引用数 (Scopus)