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

• 2002

  Invariant measures and asymptotics for some skew products

  Aaronson, J., Nakada, H., Sarig, O. & Solomyak, R., 2002 1月 1, In: Israel Journal of Mathematics. 128, p. 93-134 42 p., BF02785420.

  研究成果: Article › 査読

  • Group Extension 100%
  • Skew Product 97%
  • Invariant Measure 74%
  • Ergodic Theorem 45%
  • Ergodicity 41%
  22 被引用数 (Scopus)

• Nilpotent orbits and Whittaker functions for derived functor modules of Sp(2, ℝ)

  Miyazaki, T., 2002 8月, In: Canadian Journal of Mathematics. 54, 4, p. 769-794 26 p.

  研究成果: Article › 査読

  • Whittaker Function 100%
  • Nilpotent Orbits 98%
  • Generalized Functions 70%
  • Functor 63%
  • Character 56%
  1 被引用数 (Scopus)

• On 3-coloring of plane triangulations

  Nakamoto, A., Ota, K. & Watanabe, M., 2002 7月 1, In: Electronic Notes in Discrete Mathematics. 11, p. 519-524 6 p.

  研究成果: Article › 査読

  • Coloring 100%
  • Vertex Coloring 99%
  • Triangulation 94%
  • Divides 81%
  • Colouring 72%

• On a hamiltonian cycle in which specified vertices are not isolated

  Kaneko, A., Kawarabayashi, K. I., Ota, K. & Yoshimoto, K., 2002 12月 6, In: Discrete Mathematics. 258, 1-3, p. X85-91

  研究成果: Article › 査読

  Open Access

  • Hamiltonian circuit 100%
  • Vertex of a graph 51%
  • Vertex Degree 49%
  • Minimum Degree 46%
  • Adjacent 37%
  1 被引用数 (Scopus)

• On deficiencies of small functions for Painlevé transcendents of the fourth kind

  Shimomura, S., 2002 11月 1, In: Annales Academiae Scientiarum Fennicae Mathematica. 27, 1, p. 109-120 12 p.

  研究成果: Article › 査読

  • Small Function 100%
  • Meromorphic Solution 98%
  • Rational Solutions 92%
  • Deficiency 83%
  • Transcendental 82%
  7 被引用数 (Scopus)

• On separable self-complementary graphs

  Kawarabayashi, K. I., Nakamoto, A., Oda, Y., Ota, K., Tazawa, S. & Watanabe, M., 2002 11月 6, In: Discrete Mathematics. 257, 1, p. 165-168 4 p.

  研究成果: Article › 査読

  Open Access

  • Self-complementary Graph 100%
  1 被引用数 (Scopus)

• Some metric properties of α-continued fractions

  Nakada, H. & Natsui, R., 2002 12月 1, In: Journal of Number Theory. 97, 2, p. 287-300 14 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Metric 64%
  • Integer 51%
  • Continued Fraction Expansion 39%
  • Theorem 13%
  8 被引用数 (Scopus)

• The diameters of some transition graphs constructed from Hamilton cycles

  Hagita, M., Oda, Y. & Ota, K., 2002, In: Graphs and Combinatorics. 18, 1, p. 105-117 13 p.

  研究成果: Article › 査読

  • Hamilton Cycle 100%
  • Graph in graph theory 36%
  • Undirected Graph 25%
  • Complete Graph 24%
  • Adjacent 21%
  1 被引用数 (Scopus)

• Transcendence of the values of certain series with Hadamard's gaps

  Tanaka, T. A., 2002 3月 1, In: Archiv der Mathematik. 78, 3, p. 202-209 8 p.

  研究成果: Article › 査読

  • Transcendence 100%
  • Series 48%
  • Algebraic number 45%
  • Imply 25%
  • Integer 20%
  3 被引用数 (Scopus)
• 2003

  2-connected 7-coverings of 3-connected graphs on surfaces

  Kawarabayashi, K. I., Nakamoto, A. & Ota, K., 2003 5月, In: Journal of Graph Theory. 43, 1, p. 26-36 11 p.

  研究成果: Article › 査読

  • Graphs on Surfaces 100%
  • Covering 55%
  • Connected graph 54%
  • Euler 38%
  • Genus 36%
  6 被引用数 (Scopus)

• Diagonal Flips in Hamiltonian Triangulations on the Sphere

  Mori, R., Nakamoto, A. & Ota, K., 2003 11月 10, In: Graphs and Combinatorics. 19, 3, p. 413-418 6 p.

  研究成果: Article › 査読

  • Flip 100%
  • Triangulation 83%
  • Hamilton Cycle 55%
  • Transform 32%
  24 被引用数 (Scopus)

• Entropic repulsion for a Gaussian lattice field with certain finite range interaction

  Sakagawa, H., 2003 7月 1, In: Journal of Mathematical Physics. 44, 7, p. 2939-2951 13 p.

  研究成果: Article › 査読

  • Entropic Repulsion 100%
  • Interaction 41%
  • Discrete Laplacian 40%
  • Gaussian Fields 37%
  • Range of data 35%
  20 被引用数 (Scopus)

• Growth of the first, the second and the fourth Painlevé transcendents

  Shimomura, S., 2003 3月, In: Mathematical Proceedings of the Cambridge Philosophical Society. 134, 2, p. 259-269 11 p.

  研究成果: Article › 査読

  • Meromorphic Solution 100%
  • Auxiliary Function 92%
  • Estimate 35%
  17 被引用数 (Scopus)

• Lower Estimates for the Growth of Painlevé Transcendents

  Shimomura, S., 2003, In: Funkcialaj Ekvacioj. 46, 2, p. 287-295 9 p.

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

• On metric Diophantine approximation in positive characteristic

  Inoue, K. & Nakada, H., 2003, In: Acta Arithmetica. 110, 3, p. 205-218 14 p.

  研究成果: Article › 査読

  Open Access
  13 被引用数 (Scopus)

• On the Metrical Theory of Continued Fraction Mixing Fibred Systems and Its Application to Jacobi-Perron Algorithm

  Nakada, H. & Natsui, R., 2003 4月 1, In: Monatshefte fur Mathematik. 138, 4, p. 267-288 22 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Jacobi 92%
  • Limit Distribution 35%
  • Stationary Process 32%
  • Stochastic Processes 27%
  12 被引用数 (Scopus)

• Proofs of the Painlevé property for all Painlevé equations

  Shimomura, S., 2003, In: Japanese Journal of Mathematics. 29, 2, p. 159-180 22 p.

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

• Semisimple extensions of irrational rotations

  Lemańczyk, M., Mentzen, M. K. & Nakada, H., 2003, In: Studia Mathematica. 156, 1, p. 31-57 27 p.

  研究成果: Article › 査読

  Open Access

  • Semisimple 100%
  • Cocycle 53%
  • Abelian group 44%
  • Automorphism 40%
  9 被引用数 (Scopus)

• Subgraphs of graphs on surfaces with high representativity

  Kawarabayashi, K. I., Nakamoto, A. & Ota, K., 2003 11月, In: Journal of Combinatorial Theory. Series B. 89, 2, p. 207-229 23 p.

  研究成果: Article › 査読

  • Graphs on Surfaces 100%
  • Subgraph 55%
  • Covering 55%
  • Connected graph 54%
  • Klein bottle 44%
  15 被引用数 (Scopus)
• 2004

  Algebraic independence of power series generated by linearly independent positive numbers

  Tanaka, T., 2004 11月 1, In: Results in Mathematics. 46, 3-4, p. 367-380 14 p.

  研究成果: Article › 査読

  • Algebraic Independence 100%
  • Power series 67%
  • Linearly 57%
  • Decimal expansion 29%
  • Theorem 29%
  2 被引用数 (Scopus)

• Algebraic independence of the values of Mahler functions associated with a certain continued fraction expansion

  Tanaka, T. A., 2004 3月, In: Journal of Number Theory. 105, 1, p. 38-48 11 p.

  研究成果: Article › 査読

  • Generalized Fibonacci numbers 100%
  • Algebraic Independence 94%
  • Continued Fraction Expansion 81%
  • Algebraic number 78%
  • Continued fraction 69%
  2 被引用数 (Scopus)

• A new adaptive restart for GMRES(m) method

  Zhang, L. & Nodera, T., 2004 12月 1, In: ANZIAM Journal. 46, 5 ELECTRONIC SUPPL., p. C409-C425

  研究成果: Article › 査読

  • Restart 100%
  • GMRES 93%
  • Ritz Values 57%
  • Nonsymmetric Linear Systems 52%
  • Krylov Subspace Methods 46%
  9 被引用数 (Scopus)

• Chromatic numbers and cycle parities of quadrangulations on nonorientable closed surfaces

  Nakamoto, A., Negami, S. & Ota, K., 2004 8月 6, In: Discrete Mathematics. 285, 1-3, p. 211-218 8 p.

  研究成果: Article › 査読

  • Quadrangulation 100%
  • Parity 72%
  • Chromatic number 69%
  • Cycle 50%
  • Closed 41%
  10 被引用数 (Scopus)

• Computing the preconditioner for the Schur complement

  Moriya, K. & Nodera, T., 2004 12月 1, In: ANZIAM Journal. 46, 5 ELECTRONIC SUPPL., p. C394-C408

  研究成果: Article › 査読

  • Schur Complement 100%
  • Preconditioner 79%
  • Matrix Product 63%
  • Computing 51%
  • Costs 40%
  1 被引用数 (Scopus)

• Entropic repulsion for two dimensional multi-layered harmonic crystals

  Sakagawa, H., 2004 1月, In: Journal of Statistical Physics. 114, 1-2, p. 37-49 13 p.

  研究成果: Article › 査読

  • Entropic Repulsion 100%
  • Crystal 59%
  • Harmonic 48%
  • harmonics 39%
  • crystals 27%
  4 被引用数 (Scopus)

• Growth of modified Painlevé transcendents of the fifth and the third kind

  Shimomura, S., 2004 1月 1, In: Forum Mathematicum. 16, 2, p. 231-247 17 p.

  研究成果: Article › 査読

  • Meromorphic 100%
  • Proximity 97%
  • Estimate 42%
  7 被引用数 (Scopus)

• Lower estimates for the growth of the fourth and the second painlevé transcendents

  Shimomura, S., 2004 2月, In: Proceedings of the Edinburgh Mathematical Society. 47, 1, p. 231-249 19 p.

  研究成果: Article › 査読

  • Transcendental 100%
  • Immediately 92%
  • Pole 83%
  • Arbitrary 48%
  • Estimate 42%
  6 被引用数 (Scopus)

• Mod 2 normal numbers and skew products

  Choe, G. H., Hamachi, T. & Nakada, H., 2004, In: Studia Mathematica. 165, 1, p. 53-60 8 p.

  研究成果: Article › 査読

  Open Access

  • Normal number 100%
  • Skew Product 86%
  • Interval 41%
  • Fractional Parts 30%
  • Unit 16%
  1 被引用数 (Scopus)

• On Saito-Kurokawa lifting to cohomological Siegel modular forms

  Miyazaki, T., 2004 6月, In: Manuscripta Mathematica. 114, 2, p. 139-163 25 p.

  研究成果: Article › 査読

  • Siegel Modular Forms 100%
  • Constant term 46%
  • Automorphic Forms 46%
  • Fourier Expansion 43%
  • Cusp Form 42%
  8 被引用数 (Scopus)

• Parabolicity, projective volume and finiteness of total curvature of minimal surfaces

  Atsuji, A., 2004, In: Kodai Mathematical Journal. 27, 3, p. 227-236 10 p.

  研究成果: Article › 査読

  • Total curvature 100%
  • Minimal surface 95%
  • Finiteness 87%
  • Stochastic Calculus 55%
  • Genus 35%
  1 被引用数 (Scopus)

• Planar triangulations which quadrangulate other surfaces

  Nakamoto, A., Negami, S., Ota, K. & Širáň, J., 2004 8月, In: European Journal of Combinatorics. 25, 6, p. 817-833 17 p.

  研究成果: Article › 査読

  • Triangulation 100%
  • Quadrangulation 48%
  • Closed 40%
  6 被引用数 (Scopus)

• Vertex-disjoint cycles containing specified vertices in a bipartite graph

  Chen, G., Enomoto, H., Kawarabayashi, K. I., Ota, K., Lou, D. & Saito, A., 2004 7月, In: Journal of Graph Theory. 46, 3, p. 145-166 22 p.

  研究成果: Article › 査読

  • Degree Condition 100%
  • Minimum Degree 79%
  • Bipartite Graph 70%
  • Disjoint 60%
  • Cycle 53%
  4 被引用数 (Scopus)
• 2005

  Acute triangles in 4-connected maximal plane graphs

  Kawarabayashi, K. I., Nakamoto, A., Oda, Y. & Watanabe, M., 2005 3月 28, In: Discrete Mathematics. 292, 1-3, p. 95-106 12 p.

  研究成果: Article › 査読

  • Acute triangle 100%
  • Octahedron 85%
  • Plane Graph 71%
  3 被引用数 (Scopus)

• Algebraic independence of the values of power series, lambert series, and infinite products generated by linear recurrences

  Tanaka, T. A., 2005 6月 1, In: Osaka Journal of Mathematics. 42, 2, p. 487-497 11 p.

  研究成果: Article › 査読

  • Lambert Series 100%
  • Algebraic Independence 89%
  • Linear Recurrence 80%
  • Infinite product 75%
  • Power series 60%
  1 被引用数 (Scopus)

• A semidefinite programming relaxation for the generalized stable set problem

  Fujie, T. & Tamura, A., 2005, In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E88-A, 5, p. 1122-1128 7 p.

  研究成果: Article › 査読

  • Semidefinite Programming Relaxation 100%
  • Stable Set 85%
  • Relaxation 67%
  • Convex Sets 53%
  • Polynomials 37%

• A σ_k type condition for heavy cycles in weighted graphs

  Enomoto, H., Fujisawa, J. & Ota, K., 2005 7月 1, In: Ars Combinatoria. 76, p. 225-232 8 p.

  研究成果: Article › 査読

  • Weighted Graph 100%
  • Cycle 66%
  • Degree Sum 17%
  • Hamilton Cycle 17%
  • Vertex of a graph 15%
  4 被引用数 (Scopus)

• Discrete fixed point theorem reconsidered

  Iimura, T., Murota, K. & Tamura, A., 2005 12月, In: Journal of Mathematical Economics. 41, 8, p. 1030-1036 7 p.

  研究成果: Article › 査読

  • Fixed Point Theorem 100%
  • Fixed point theorem 50%
  • Mathematical Economics 44%
  • Economics 40%
  • Convex Sets 28%
  32 被引用数 (Scopus)

• On 3-coloring of plane triangulations

  Nakamoto, A., Ota, K. & Watanabe, M., 2005 4月, In: Ars Combinatoria. 75, p. 157-162 6 p.

  研究成果: Article › 査読

  • Triangulation 100%
  • Colouring 89%
  • Vertex Coloring 41%
  • Infinite series 36%
  • Color 28%

• On the central limit theorem for non-archimedean diophantine approximations

  Deligero, E. & Nakada, H., 2005 5月 1, In: Manuscripta Mathematica. 117, 1, p. 51-64 14 p.

  研究成果: Article › 査読

  • Diophantine Inequalities 100%
  • Diophantine Approximation 80%
  • Central limit theorem 62%
  • Laurent Series 41%
  • Number of Solutions 36%
  3 被引用数 (Scopus)

• Ore-type degree condition for heavy paths in weighted graphs

  Enomoto, H., Fujisawa, J. & Ota, K., 2005 9月 6, In: Discrete Mathematics. 300, 1-3, p. 100-109 10 p.

  研究成果: Article › 査読

  • Degree Condition 100%
  • Weighted Graph 80%
  • Path 52%
  • Hamilton Path 22%
  • Join 14%
  1 被引用数 (Scopus)

• Parabolicity, the divergence theorem for δ-subharmonic functions and applications to the liouville theorems for harmonic maps

  Atsuji, A., 2005, In: Tohoku Mathematical Journal. 57, 3, p. 353-373 21 p.

  研究成果: Article › 査読

  • Divergence theorem 100%
  • Subharmonic Function 89%
  • Liouville's theorem 87%
  • Harmonic Maps 76%
  • Stochastic Calculus 42%
  1 被引用数 (Scopus)
• 2006

  A family of solutions of a higher order PVI equation near a regular singularity

  Shimomura, S., 2006 9月 29, In: Journal of Physics A: Mathematical and General. 39, 39, p. 12153-12165 13 p., S09.

  研究成果: Article › 査読

  • Higher order equation 100%
  • iteration 81%
  • constrictions 75%
  • Differential equations 75%
  • differential equations 68%

• A general two-sided matching market with discrete concave utility functions

  Fujishige, S. & Tamura, A., 2006 4月 15, In: Discrete Applied Mathematics. 154, 6, p. 950-970 21 p.

  研究成果: Article › 査読

  • Utility Function 100%
  • Concave function 95%
  • Market 85%
  • Hybrid Model 28%
  • Model 27%
  20 被引用数 (Scopus)

• A pair of forbidden subgraphs and perfect matchings

  Fujita, S., Kawarabayashi, K. I., Leonardo Lucchesi, C., Ota, K., Plummer, M. D. & Saito, A., 2006 5月, In: Journal of Combinatorial Theory. Series B. 96, 3, p. 315-324 10 p.

  研究成果: Article › 査読

  • Forbidden Subgraph 100%
  • Perfect Matching 80%
  • Graph in graph theory 34%
  • Odd 15%
  • Triangle-free 14%
  27 被引用数 (Scopus)

• Entropic repulsion for the high dimensional Gaussian lattice field between two walls

  Sakagawa, H., 2006 9月, In: Journal of Statistical Physics. 124, 5, p. 1255-1274 20 p.

  研究成果: Article › 査読

  • Entropic Repulsion 100%
  • High-dimensional 46%
  3 被引用数 (Scopus)

• Operator semi-self-similar processes and their space-scaling matrices

  Saigo, T. & Tamura, Y., 2006 4月 1, In: Statistics and Probability Letters. 76, 7, p. 675-681 7 p.

  研究成果: Article › 査読

  • Self-similar Processes 100%
  • Scaling 89%
  • Operator 67%
  • Matrix 66%
  • Self-similarity 43%

• Weighted Ramsey problem

  Fujisawa, J. & Ota, K., 2006 12月 1, In: Australasian Journal of Combinatorics. 34, p. 331-342 12 p.

  研究成果: Article › 査読

  • Weighted Graph 100%
  • Subgraph 78%
  • Edge-colored Graph 60%
  • Complete Graph 43%
  • Non-negative 32%
  1 被引用数 (Scopus)
• 2007

  A long wave approximation for capillary-gravity waves and an effect of the bottom

  Iguchi, T., 2007 1月, In: Communications in Partial Differential Equations. 32, 1, p. 37-85 49 p.

  研究成果: Article › 査読

  • Korteweg-de Vries equation 100%
  • Gravity waves 87%
  • Capillary-gravity Waves 85%
  • Korteweg-de Vries Equation 38%
  • Water waves 36%
  21 被引用数 (Scopus)

• A mathematical justification of the forced Korteweg-de Vries equation for capillary-gravity waves

  Iguchi, T., 2007 5月 10, In: Kyushu Journal of Mathematics. 60, 2, p. 267-303 37 p.

  研究成果: Article › 査読

  • Capillary-gravity Waves 100%
  • Korteweg-de Vries Equation 68%
  • Justification 67%
  • Propagation Speed 22%
  • Forcing Term 19%
  11 被引用数 (Scopus)

• A two-sided discrete-concave market with possibly bounded side payments: An approach by discrete convex analysis

  Fujishige, S. & Tamura, A., 2007 2月, In: Mathematics of Operations Research. 32, 1, p. 136-155 20 p.

  研究成果: Article › 査読

  • Convex Analysis 100%
  • Side Payments 83%
  • Market 63%
  • Two-sided Matching 36%
  • Matching Markets 34%
  36 被引用数 (Scopus)