研究成果 1978 2019

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記事
1978

The Paley-Wiener type theorem for finite covering groups of SU(1,1)

Nomura, T., 1978, : : Journal of Mathematics of Kyoto University. p. 273-304

研究成果: ジャーナルへの寄稿記事

1980

Harmonic analysis on the universal covering group of certain semidirect product lie group

Nomura, T., 1 1 1980, : : Japanese journal of mathematics. New series. 6, 1, p. 129-145 17 p.

研究成果: ジャーナルへの寄稿記事

Harmonic Analysis
Covering
1982

The Paley-Wiener type theorem for the oscillator group

Nomura, T., 1982, : : Journal of Mathematics of Kyoto University. 22, p. 71-96

研究成果: ジャーナルへの寄稿記事

1984

Fisher's inequality revisited

Hara, T. & Tasaki, H., 1 16 1984, : : Physics Letters A. 100, 3, p. 166-168 3 p.

研究成果: ジャーナルへの寄稿記事

exponents
1985
34 引用 (Scopus)

Gromov’s convergence theorem and its application

Katsuda, A., 12 1985, : : Nagoya Mathematical Journal. 100, p. 11-48 38 p.

研究成果: ジャーナルへの寄稿記事

Convergence Theorem
33 引用 (Scopus)

Ground states of the XY-model

Araki, H. & Matsui, T., 6 1 1985, : : Communications in Mathematical Physics. 101, 2, p. 213-245 33 p.

研究成果: ジャーナルへの寄稿記事

XY Model
Ground State
ground state
Nonuniqueness
uniqueness
5 引用 (Scopus)

Skeleton inequalities and mean field properties for lattice spin systems

Hara, T., Hattori, T. & Tasaki, H., 1 1 1985, : : Journal of Mathematical Physics. 26, 11, p. 2922-2929 8 p.

研究成果: ジャーナルへの寄稿記事

Lattice System
Spin Systems
Skeleton
musculoskeletal system
Mean Field
1986
5 引用 (Scopus)

Analyticity of ground states of the XY-model

Araki, H. & Matsui, T., 1 1 1986, : : Letters in Mathematical Physics. 11, 1, p. 87-94 8 p.

研究成果: ジャーナルへの寄稿記事

XY Model
Analyticity
Ground State
ground state
Line
5 引用 (Scopus)

Homology of closed geodesics in certain riemannian manifolds

Katsuda, A. & Unada, T., 4 1986, : : Proceedings of the American Mathematical Society. 96, 4, p. 657-660 4 p.

研究成果: ジャーナルへの寄稿記事

Locally Symmetric Spaces
Geodesies
Closed Geodesics
Trace Formula
Riemannian Manifold

On conjugacy classes of the pro-l braid group of degree 2

Kaneko, M., 1986, : : Proceedings of the Japan Academy Series A: Mathematical Sciences. 62, 7, p. 274-277 4 p.

研究成果: ジャーナルへの寄稿記事

1987
25 引用 (Scopus)
Critical Phenomena
Spin Systems
Renormalization Group
Critical point
Logarithmic
34 引用 (Scopus)
Critical Phenomena
Spin Systems
Correlation Length
Critical Behavior
Mean Field
7 引用 (Scopus)

Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions

Kondo, K. I. & Hara, T., 1 1 1987, : : Journal of Mathematical Physics. 28, 5, p. 1206-1208 3 p.

研究成果: ジャーナルへの寄稿記事

Ferromagnet
Susceptibility
Critical Exponents
exponents
magnetic permeability

Existence of a non-inductive linear form on certain solvable Lie algebras

Nomura, T., 10 1987, : : Journal of the Mathematical Society of Japan. 39, 4, p. 668-675 8 p.

研究成果: ジャーナルへの寄稿記事

Solvable Lie Algebra
Linear Forms

On some properties of the universal power series for Jacobi sums

Ihara, Y., Kaneko, M. & Yukinari, A., 1987, : : Advanced Studies in Pure mathematics. 12, p. 65-86 22 p.

研究成果: ジャーナルへの寄稿記事

On the automorphism group of some pro-l fundamental groups

Asada, M. & Kaneko, M., 1987, : : Advanced Studies in Pure mathematics. 12, p. 137-159 23 p.

研究成果: ジャーナルへの寄稿記事

On the implementability of non*Bogoliubov automorphisms of CAR algebras on fock spaces

Matsui, T., 11 1 1987, : : Letters in Mathematical Physics. 14, 4, p. 363-369 7 p.

研究成果: ジャーナルへの寄稿記事

Projective Representation
automorphisms
Loop Groups
Fock Space
Automorphisms
2 引用 (Scopus)

On the Splitting of Mapping Spaces between Classifying Spaces I

Iwase, N., 1 1 1987, : : Publications of the Research Institute for Mathematical Sciences. 23, 3, p. 445-453 9 p.

研究成果: ジャーナルへの寄稿記事

Classifying Space
9 引用 (Scopus)

The index of scattering operators of Dirac equations

Matsui, T., 12 1 1987, : : Communications in Mathematical Physics. 110, 4, p. 553-571 19 p.

研究成果: ジャーナルへの寄稿記事

Scattering Operator
Dirac Equation
Dirac equation
operators
Michael Francis Atiyah
1988
5 引用 (Scopus)

The isometry groups of compact manifolds with negative ricci curvature

Katsuda, A., 10 1 1988, : : Proceedings of the American Mathematical Society. 104, 2, p. 587-588 2 p.

研究成果: ジャーナルへの寄稿記事

Isometry Group
Negative Curvature
Ricci Curvature
Compact Manifold
Injectivity
1989

A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary

Nomura, T., 1 1989, : : Journal of Functional Analysis. 82, 1, p. 1-37 37 p.

研究成果: ジャーナルへの寄稿記事

Series Representation
Vector-valued Functions
Hardy Space
Half-plane
Fourier transform
9 引用 (Scopus)

Algebraically independent generators of invariant differential operators on a symmetric cone

Nomura, T., 1 1 1989, : : Journal fur die Reine und Angewandte Mathematik. 1989, 400, p. 122-133 12 p.

研究成果: ジャーナルへの寄稿記事

Symmetric Cone
Invariant Differential Operators
Mathematical operators
Cones
Generator
33 引用 (Scopus)

A new version of differentiable sphere theorem

Otsu, Y., Shiohama, K. & Yamaguchi, T., 6 1 1989, : : Inventiones Mathematicae. 98, 2, p. 219-228 10 p.

研究成果: ジャーナルへの寄稿記事

Sphere Theorem
Differentiable
3 引用 (Scopus)

A pinching problem for locally homogeneous spaces

Katsuda, A., 1 1 1989, : : Journal of the Mathematical Society of Japan. 41, 1, p. 59-74 16 p.

研究成果: ジャーナルへの寄稿記事

Homogeneous Space

Certain automorphism groups of pro-l fundamental groups of punctured Riemann surfaces

Kaneko, M., 1989, : : Journal of The Faculty of Science. 36, p. 363-372 10 p.

研究成果: ジャーナルへの寄稿記事

2 引用 (Scopus)

Dynamical L-functions and homology of closed orbits

Katsuda, A. & Sunada, T., 1 1989, : : Bulletin of the American Mathematical Society. 20, 1, p. 73-77 5 p.

研究成果: ジャーナルへの寄稿記事

Closed Orbit
L-function
Homology
Orbits
1 引用 (Scopus)

Homotopy associativity of sphere extensions

Iwase, N., 10 1989, : : Proceedings of the Edinburgh Mathematical Society. 32, 3, p. 459-472 14 p.

研究成果: ジャーナルへの寄稿記事

Associativity
Homotopy
4 引用 (Scopus)

H-Spaces With Generating Subspaces

Iwase, N., 1 1 1989, : : Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 111, 3-4, p. 199-211 13 p.

研究成果: ジャーナルへの寄稿記事

H-space
Subspace
Polynomial Algebra
Homotopy Theory
K-space
11 引用 (Scopus)

Supersingular j-invariants as singular moduli mod p

Kaneko, M., 1 1 1989, : : Osaka Journal of Mathematics. 26, 4, p. 849-855 7 p.

研究成果: ジャーナルへの寄稿記事

Modulus
Invariant
3 引用 (Scopus)

The triangle condition for percolation

Hara, T. & Slade, G., 10 1989, : : Bulletin of the American Mathematical Society. 21, 2, p. 269-273 5 p.

研究成果: ジャーナルへの寄稿記事

Triangle
Nearest Neighbor
Lace Expansion
Self-avoiding Walk
Mean Field
1990
4 引用 (Scopus)

A continuous localization and completion

Iwase, N., 7 1990, : : Transactions of the American Mathematical Society. 320, 1, p. 77-90 14 p.

研究成果: ジャーナルへの寄稿記事

Lie groups
Completion
CW-complex
Compact Lie Group
Homomorphism
1 引用 (Scopus)

A remark on the gromov convergence theorem

Otsu, Y., 2 1990, : : Proceedings of the American Mathematical Society. 108, 2, p. 491-494 4 p.

研究成果: ジャーナルへの寄稿記事

Convergence Theorem
Riemannian Manifold
Theorem
Concepts
46 引用 (Scopus)

Closed orbits in homology classes

Katsuda, A. & Sunada, T., 12 1 1990, : : Publications Mathématiques de L'Institut des Hautes Scientifiques. 71, 1, p. 5-32 28 p.

研究成果: ジャーナルへの寄稿記事

Closed Orbit
Homology
Class
6 引用 (Scopus)

Gibbs measure as quantum ground states

Matsui, T., 12 1 1990, : : Communications in Mathematical Physics. 135, 1, p. 79-89 11 p.

研究成果: ジャーナルへの寄稿記事

Stochastic Ising Model
Quantum Spin System
Quantum Invariants
Gibbs Measure
Ising model
18 引用 (Scopus)

Mean-field critical behaviour for correlation length for percolation in high dimensions

Hara, T., 9 1 1990, : : Probability Theory and Related Fields. 86, 3, p. 337-385 49 p.

研究成果: ジャーナルへの寄稿記事

Correlation Length
Critical Behavior
Mean Field
Higher Dimensions
Nearest Neighbor
5 引用 (Scopus)

The index of scattering operators of Dirac equations, II

Matsui, T., 1 1 1990, : : Journal of Functional Analysis. 94, 1, p. 93-109 17 p.

研究成果: ジャーナルへの寄稿記事

Scattering Operator
Dirac Equation
Gauge
Energy
Class
26 引用 (Scopus)

Uniqueness of the translationally invariant ground state in quantum spin systems

Matsui, T., 1 1 1990, : : Communications in Mathematical Physics. 126, 3, p. 453-467 15 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin System
uniqueness
External Field
Ground State
Uniqueness
1991

Critical behaviour of self-avoiding walk in five or more dimensions.

Hara, T. & Slade, G., 1991, : : Bulletin of the American Mathematical Society. 25, p. 417-423

研究成果: ジャーナルへの寄稿記事

Self-avoiding Walk
Brownian movement
Critical Behavior
Lace Expansion
Convergence in Distribution
5 引用 (Scopus)

On Ground State Degeneracy of Z2 Symmetric Quantum Spin Models

Matsui, T., 1 1 1991, : : Publications of the Research Institute for Mathematical Sciences. 27, 4, p. 657-679 23 p.

研究成果: ジャーナルへの寄稿記事

Spin Models
Degeneracy
Ground State
Heisenberg Model
Pure State
26 引用 (Scopus)

On manifolds of positive Ricci curvature with large diameter

Otsu, Y., 1 1 1991, : : Mathematische Zeitschrift. 206, 1, p. 255-264 10 p.

研究成果: ジャーナルへの寄稿記事

Positive Curvature
Ricci Curvature
6 引用 (Scopus)

Regular points for ergodic sinai measures

Masato, T., 1 1 1991, : : Transactions of the American Mathematical Society. 328, 2, p. 747-766 20 p.

研究成果: ジャーナルへの寄稿記事

Ergodic Measure
Lyapunov Exponent
Dynamical systems
Lebesgue Measure
Absolutely Continuous
1992
35 引用 (Scopus)

Construction of Integrable Spin Systems with Long-Range Interactions

Hikami, K., Kulish, P. P. & Wadati, M., 12 1992, : : journal of the physical society of japan. 61, 9, p. 3071-3076 6 p.

研究成果: ジャーナルへの寄稿記事

interactions
41 引用 (Scopus)

Integrability of the Quantum Calogero-Moser Model

Ujino, H., Hikami, K. & Wadati, M., 10 1992, : : journal of the physical society of japan. 61, 10, p. 3425-3427 3 p.

研究成果: ジャーナルへの寄稿記事

operators
inverse scattering
10 引用 (Scopus)

Integrable spin systems with long-range interactions

Hikami, K., Kulish, P. P. & Wadati, M., 1 1 1992, : : Chaos, solitons and fractals. 2, 5, p. 543-550 8 p.

研究成果: ジャーナルへの寄稿記事

Long-range Interactions
Spin Systems
Integrable Systems
Quantum Spin Chain
Spin Chains
2 引用 (Scopus)
Quantum Groups
Invariant
Linear Representation
Ising Model
Algebra
9 引用 (Scopus)

Pro-l pure braid groups of Riemann surfaces and Galois representations

Ihara, Y. & Kaneko, M., 3 1992, : : Osaka Journal of Mathematics. 29, 1, p. 1-29 29 p.

研究成果: ジャーナルへの寄稿記事

Galois Representations
Braid Group
Riemann Surface
91 引用 (Scopus)

Self-avoiding walk in five or more dimensions I. The critical behaviour

Hara, T. & Slade, G., 6 1 1992, : : Communications in Mathematical Physics. 147, 1, p. 101-136 36 p.

研究成果: ジャーナルへの寄稿記事

Lace Expansion
Self-avoiding Walk
Critical Behavior
expansion
Convergence in Distribution

The lace expansion for self-avoiding walk in five or more dimensions.

Hara, T. & Slade, G., 1992, : : Reviews in Mathematical Physics. 4, p. 235-327

研究成果: ジャーナルへの寄稿記事

Lace Expansion
Self-avoiding Walk
Simple Random Walk
expansion
random walk