研究成果 1978 2019

2003
4 引用 (Scopus)

Lusternik-Schnirelmann category of a sphere-bundle over a sphere

Iwase, N., 5 1 2003, : : Topology. 42, 3, p. 701-713 13 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Bundle
Necessary Conditions
Sufficient Conditions
Submanifolds
2 引用 (Scopus)

Metric tensor estimates, geometric convergence, and inverse boundary problems

Anderson, M., Katsuda, A., Kurylev, Y., Lassas, M. & Taylor, M., 9 2 2003, : : Electronic Research Announcements of the American Mathematical Society. 9, 9, p. 69-79 11 p.

研究成果: ジャーナルへの寄稿記事

Geometric Convergence
Boundary Problem
Inverse Problem
Tensor
Injectivity
4 引用 (Scopus)

On coefficients of Yablonskii-Vorob'ev polynomials

Kaneko, M. & Ochiai, H., 1 1 2003, : : Journal of the Mathematical Society of Japan. 55, 4, p. 985-993 9 p.

研究成果: ジャーナルへの寄稿記事

Polynomial
Coefficient
Prime number
Modulo
31 引用 (Scopus)

On Modular Forms Arising from a Differential Equation of Hypergeometric Type

Kaneko, M. & Koike, M., 3 1 2003, : : Ramanujan Journal. 7, 1-3, p. 145-164 20 p.

研究成果: ジャーナルへの寄稿記事

Modular Forms
Fourier coefficients
Half-plane
Second order differential equation
Positivity
15 引用 (Scopus)

On the algebra of fluctuation in quantum spin chains

Matsui, T., 5 6 2003, : : Annales Henri Poincare. 4, 1, p. 63-83 21 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin Chain
Central limit theorem
algebra
theorems
Fluctuations
5 引用 (Scopus)

On the cellular decomposition and the Lusternik-Schnirelmann category of Spin(7)

Iwase, N., Mimura, M. & Nishimoto, T., 9 1 2003, : : Topology and its Applications. 133, 1, p. 1-14 14 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Decompose
Analytic group

Quasimodular forms as solutions to a differential equation of hypergeometric type

Kaneko, M. & Koike, M., 2003, : : Galois Theory and Modular Forms. p. 329-336 8 p.

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

The kappa function

Kaneko, M. & Yoshida, M., 11 1 2003, : : International Journal of Mathematics. 14, 9, p. 1003-1013 11 p.

研究成果: ジャーナルへの寄稿記事

Modular Functions
Fourier Expansion
Elliptic function
10 引用 (Scopus)

Topics in quantum integrable systems

Hikami, K. & Wadati, M., 8 1 2003, : : Journal of Mathematical Physics. 44, 8, p. 3569-3594 26 p.

研究成果: ジャーナルへの寄稿記事

Quantum Integrable Systems
polynomials
Dunkl Operators
Macdonald Polynomials
Yang-Baxter Equation
20 引用 (Scopus)

Torus knot and minimal model

Hikami, K. & Kirillov, A. N., 11 27 2003, : : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 575, 3-4, p. 343-348 6 p.

研究成果: ジャーナルへの寄稿記事

integers
unity
polynomials
6 引用 (Scopus)

Variational principle for non-equilibrium steady states of the XX model

Matsui, T. & Ogata, Y., 10 1 2003, : : Reviews in Mathematical Physics. 15, 8, p. 905-923 19 p.

研究成果: ジャーナルへの寄稿記事

C*-dynamical System
KMS States
Nonequilibrium Steady State
Long-range Interactions
variational principles
5 引用 (Scopus)

Vicious walkers and hook Young tableaux

Hikami, K. & Imamura, T., 3 28 2003, : : Journal of Physics A: Mathematical and General. 36, 12 SPEC. ISS., p. 3033-3048 16 p.

研究成果: ジャーナルへの寄稿記事

Tracy-Widom Distribution
Saddle Point Method
Young Tableaux
Young Diagram
hooks
17 引用 (Scopus)

Volume conjecture and asymptotic expansion of q-series

Hikami, K., 1 1 2003, : : Experimental Mathematics. 12, 3, p. 319-337 19 p.

研究成果: ジャーナルへの寄稿記事

Q-series
Asymptotic Expansion
Knot
Invariant
Borromean rings
20 引用 (Scopus)

Weakly expanding skew-products of quadratic maps

Buzzi, J., Sester, O. & Tsujii, M., 10 1 2003, : : Ergodic Theory and Dynamical Systems. 23, 5, p. 1401-1414 14 p.

研究成果: ジャーナルへの寄稿記事

Quadratic Map
Skew Product
Circle
Expanding Maps
Doubling
2002

A symmetry characterization for homogeneous Siegel domains related to Berezin transforms

Nomura, T., 2002, Banach Center Publications. Institute of Mathematics, Polish Academy of Sciences, 巻 55. p. 323-334

研究成果: 著書/レポートタイプへの貢献会議での発言

17 引用 (Scopus)

A-method in Lusternik-Schnirelmann category

Iwase, N., 4 3 2002, : : Topology. 41, 4, p. 695-723 29 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Hopf Invariant
Homotopy
Closed
Associativity
13 引用 (Scopus)

Bosonic central limit theorem for the one-dimensional XY model

Matsui, T., 7 2002, : : Reviews in Mathematical Physics. 14, 7-8, p. 675-700 26 p.

研究成果: ジャーナルへの寄稿記事

Gibbs States
XY Model
One-dimensional Model
Central limit theorem
integers

Cayley transforms and symmetry conditions for homogeneous Siegel domains

Nomura, T., 2002, Advanced Studies in Pure Mathematics. 巻 37. p. 253-265

研究成果: 著書/レポートタイプへの貢献会議での発言

26 引用 (Scopus)

Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach

Betz, V., Hiroshima, F., Lorinczi, J., Minlos, R. A. & Spohn, H., 8 26 2002, : : Reviews in Mathematical Physics. 14, 2, p. 173-198 26 p.

研究成果: ジャーナルへの寄稿記事

Gibbs Measure
Ground State
ground state
functional integration
Functional Integration

HomologyとConley Index 入門

Nii, S., 2002, : : 物性研究. 78, p. 144-158

研究成果: ジャーナルへの寄稿評論記事

Hypergeometric modular forms and supersingular elliptic curves

Kaneko, M. & Todaka, N., 2002, : : CRM Proceedings and Lecture Notes. 30, p. 79-83 5 p.

研究成果: ジャーナルへの寄稿記事

Modular Forms
Elliptic Curves
38 引用 (Scopus)

Kashaev's conjecture and the chern-simons invariants of knots and links

Murakami, H., Murakami, J., Okamoto, M., Takata, T. & Yokota, Y., 1 1 2002, : : Experimental Mathematics. 11, 3, p. 427-435 9 p.

研究成果: ジャーナルへの寄稿記事

Hyperbolic Volume
Colored Jones Polynomial
Knot
Link Invariants
Complexification
24 引用 (Scopus)

On certain analogies between knots and primes

Morishita, M., 12 1 2002, : : Journal fur die Reine und Angewandte Mathematik. 550, p. 141-167 27 p.

研究成果: ジャーナルへの寄稿記事

Knot
Analogy
Ramification
Galois group
Number field
19 引用 (Scopus)

Quasi-classical descendants of disordered vertex models with boundaries

Di Lorenzo, A., Amico, L., Hikami, K., Osterloh, A. & Giaquinta, G., 11 18 2002, : : Nuclear Physics B. 644, 3, p. 409-432 24 p.

研究成果: ジャーナルへの寄稿記事

apexes
fermions
spin-spin coupling
boundary conditions
operators

Reviews in Mathematical Physics: Editorial

Buchholz, D., Izumi, M. & Matsui, T., 7 1 2002, : : Reviews in Mathematical Physics. 14, 7-8, 1 p.

研究成果: ジャーナルへの寄稿編集

Physics
physics
Review
46 引用 (Scopus)

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Hiroshima, F., 12 3 2002, : : Annales Henri Poincare. 3, 1, p. 171-201 31 p.

研究成果: ジャーナルへの寄稿記事

Self-adjointness
radiation distribution
Radiation
Electron
Essential Self-adjointness

The resolvent trace formula for rank one Lie groups

Gon, Y. & Tsuzuki, M., 2002, : : Asian Journal of Mathematics. 6, 2, p. 227-252

研究成果: ジャーナルへの寄稿記事

THE RESOLVENT TRACE FORMULA FOR RANK ONE LIE GROUPS (Automorphic Forms and their Dirichlet series)

Gon, Y. & Tsuzuki, M., 8 2002, : : RIMS Kokyuroku. 1281, p. 77-89 13 p.

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

Twisted endoscopy and the generic packet conjecture

Konno, T., 1 1 2002, : : Israel Journal of Mathematics. 129, p. 253-289 37 p.

研究成果: ジャーナルへの寄稿記事

Endoscopy
Classical Groups
Analogue
Imply
4 引用 (Scopus)

When is a polygonal pyramid number again polygonal?

Kaneko, M. & Tachibana, K., 1 1 2002, : : Rocky Mountain Journal of Mathematics. 32, 1, p. 149-165 17 p.

研究成果: ジャーナルへの寄稿記事

Polygonal number
Pyramid
Square-based pyramid
Parametric Solutions
Elliptic Surfaces
2001
35 引用 (Scopus)

Absolutely continuous invariant measures for expanding piecewise linear maps

Masato, T., 1 1 2001, : : Inventiones Mathematicae. 143, 2, p. 349-373 25 p.

研究成果: ジャーナルへの寄稿記事

Piecewise Linear Map
Absolutely Continuous Invariant Measure
Euclidean space
Arbitrary
1 引用 (Scopus)

Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces

To, W. K. & Weng, L., 2 2001, : : Pacific Journal of Mathematics. 197, 2, p. 441-489 49 p.

研究成果: ジャーナルへの寄稿記事

Line Bundle
Riemann Surface
Metric
Family
Necessary Conditions
6 引用 (Scopus)

A theory of genera for cyclic coverings of links

Morishita, M., 1 1 2001, : : Proceedings of the Japan Academy Series A: Mathematical Sciences. 77, 7, p. 115-118 4 p.

研究成果: ジャーナルへの寄稿記事

Genus
Covering
Number field
Analogue
Knot Theory
5 引用 (Scopus)

Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

Nomura, T., 7 1 2001, : : Differential Geometry and its Application. 15, 1, p. 91-106 16 p.

研究成果: ジャーナルへの寄稿記事

Berezin Transform
Laplace-Beltrami Operator
Commutativity
Symmetry
3 引用 (Scopus)

Co-H-spaces and the Ganea conjecture

Iwase, N., 3 1 2001, : : Topology. 40, 2, p. 223-234 12 p.

研究成果: ジャーナルへの寄稿記事

H-space
Coaction
Homotopy
Homology
Circle
24 引用 (Scopus)

Enhanced binding through coupling to a quantum field

Hiroshima, F. & Spohn, H., 12 1 2001, : : Annales Henri Poincare. 2, 6, p. 1159-1187 29 p.

研究成果: ジャーナルへの寄稿記事

Quantum Fields
radiation distribution
Ground State
Radiation
ground state
45 引用 (Scopus)

Fat solenoidal attractors

Tsujii, M., 9 1 2001, : : Nonlinearity. 14, 5, p. 1011-1027 17 p.

研究成果: ジャーナルへの寄稿記事

Skew Product
fats
Absolutely Continuous
Oils and fats
dynamical systems
23 引用 (Scopus)

Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

Hiroshima, F. & Spohn, H., 11 2001, : : Advances in Theoretical and Mathematical Physics. 5, 6, p. 1091-1104 14 p.

研究成果: ジャーナルへの寄稿記事

Degeneracy
Ground State
momentum
ground state
Momentum
17 引用 (Scopus)

Ground states and spectrum of quantum electrodynamics of nonrelativistic particles

Hiroshima, F., 12 1 2001, : : Transactions of the American Mathematical Society. 353, 11, p. 4497-4528 32 p.

研究成果: ジャーナルへの寄稿記事

Hamiltonians
Electrodynamics
Ground state
Ground State
Radiation
9 引用 (Scopus)

Hyperbolicity of partition function and quantum gravity

Hikami, K., 11 26 2001, : : Nuclear Physics B. 616, 3, p. 537-548 12 p.

研究成果: ジャーナルへの寄稿記事

partitions
gravitation
tetrahedrons
strings
geometry
28 引用 (Scopus)

Hyperbolic structure arising from a knot invariant

Hikami, K., 7 30 2001, : : International Journal of Modern Physics A. 16, 19, p. 3309-3333 25 p.

研究成果: ジャーナルへの寄稿記事

saddle points
polyhedrons
analogs

Invariant Berezin transforms

Nomura, T., 2001, Harmonic analysis and integral geometry. Chapman & Hall, 巻 422. p. 19-40

研究成果: 著書/レポートタイプへの貢献会議での発言

3 引用 (Scopus)

Mesoscopic Fluctuations in Superconducting Wires

Imamura, T. & Hikami, K., 11 1 2001, : : journal of the physical society of japan. 70, 11, p. 3312-3321 10 p.

研究成果: ジャーナルへの寄稿記事

shot noise
quantum wires
transport properties
wire
moments
1 引用 (Scopus)

Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ2

Kamimoto, J., 1 1 2001, : : Mathematische Zeitschrift. 236, 3, p. 585-603 19 p.

研究成果: ジャーナルへの寄稿記事

Pseudoconvex
Tube
kernel
Bergman Kernel
4 引用 (Scopus)

On non-commutative Ruelle transfer operator

Matsui, T., 10 1 2001, : : Reviews in Mathematical Physics. 13, 10, p. 1183-1201 19 p.

研究成果: ジャーナルへの寄稿記事

Ruelle Operator
Frobenius-Perron Operator
Transfer Operator
algebra
analogs

Symmetry of integrable cellular automaton

Hikami, K. & Inoue, R., 3 23 2001, : : Journal of Physics A: Mathematical and General. 34, 11, p. 2467-2476 10 p.

研究成果: ジャーナルへの寄稿記事

cellular automata
Cellular automata
Difference equations
Cellular Automata
boxes
74 引用 (Scopus)

The A(1)M automata related to crystals of symmetric tensors

Hatayama, G., Hikami, K., Inoue, R., Kuniba, A., Takagi, T. & Tokihiro, T., 1 1 2001, : : Journal of Mathematical Physics. 42, 1, p. 274-308 35 p.

研究成果: ジャーナルへの寄稿記事

Soliton Solution
Automata
Solitons
Crystal
Tensor
10 引用 (Scopus)

The Baxter equation for quantum discrete Boussinesq equation

Hikami, K., 6 25 2001, : : Nuclear Physics B. 604, 3, p. 580-602 23 p.

研究成果: ジャーナルへの寄稿記事

operators
difference equations
15 引用 (Scopus)

The split property and the symmetry breaking of the quantum spin chain

Matsui, T., 4 1 2001, : : Communications in Mathematical Physics. 218, 2, p. 393-416 24 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin Chain
Pure State
Symmetry Breaking
broken symmetry
dichotomies

Topological methods in stability analysis of travelling waves

Nii, S., 2001, Amer. Math. Soc. Transl. 巻 204. p. 45-62

研究成果: 著書/レポートタイプへの貢献章 (査読済み)