研究成果 1978 2019

フィルター
記事
2003
56 引用 (Scopus)

Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models

Hara, T., Van der Hofstad, R. & Slade, G., 1 1 2003, : : Annals of Probability. 31, 1, p. 349-408 60 p.

研究成果: ジャーナルへの寄稿記事

Lace Expansion
Self-avoiding Walk
Lattice Animals
High-dimensional
Critical Dimension
9 引用 (Scopus)

Family of Cayley transforms of a homogeneous Siegel domain parameterized by admissible linear forms

Nomura, T., 1 1 2003, : : Differential Geometry and its Application. 18, 1, p. 55-78 24 p.

研究成果: ジャーナルへの寄稿記事

Cayley Transform
Linear Forms
Vector spaces
Vector space
Bounded Domain
62 引用 (Scopus)

Iwasawa theory for elliptic curves at supersingular primes

Kobayashi, S., 7 4 2003, : : Inventiones Mathematicae. 152, 1, p. 1-36 36 p.

研究成果: ジャーナルへの寄稿記事

Iwasawa Theory
Elliptic Curves
Selmer Group
P-adic L-function
Euler System
6 引用 (Scopus)

Localization of the number of photons of ground states in nonrelativistic QED

Hiroshima, F., 5 1 2003, : : Reviews in Mathematical Physics. 15, 3, p. 271-312 42 p.

研究成果: ジャーナルへの寄稿記事

radiation distribution
Ground State
Photon
Radiation
Electron
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
2002
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
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

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
23 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
45 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
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

Masato, T., 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., 1 1 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
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
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
8 引用 (Scopus)

Triviality of hierarchical Ising model in four dimensions

Hara, T., Hattori, T. & Watanabe, H., 6 1 2001, : : Communications in Mathematical Physics. 220, 1, p. 13-40 28 p.

研究成果: ジャーナルへの寄稿記事

Hierarchical Model
Ising model
Ising Model
Fixed point
Renormalization Group
34 引用 (Scopus)

Ground states of a model in nonrelativistic quantum electrodynamics. II

Hiroshima, F., 1 1 2000, : : Journal of Mathematical Physics. 41, 2, p. 661-674 14 p.

研究成果: ジャーナルへの寄稿記事

Electrodynamics
quantum electrodynamics
Ground State
Ground State Energy
ground state
4 引用 (Scopus)

On the multiplicities of the zeros of laguerre-pólya functions

Kamimoto, J., Ki, H. & Kim, Y. O., 12 1 2000, : : Proceedings of the American Mathematical Society. 128, 1, p. 189-194 6 p.

研究成果: ジャーナルへの寄稿記事

Laguerre Functions
Multiplicity
Zero
Fourier transform
Fourier transforms
17 引用 (Scopus)

Piecewise expanding maps on the plane with singular ergodic properties

Masato, T., 1 1 2000, : : Ergodic Theory and Dynamical Systems. 20, 6, p. 1851-1857 7 p.

研究成果: ジャーナルへの寄稿記事

Expanding Maps
Converge
Empirical Measures
Open set
6 引用 (Scopus)

Supersymmetric extension of the integrable box-ball system

Hikami, K. & Inoue, R., 6 9 2000, : : Journal of Physics A: Mathematical and General. 33, 22, p. 4081-4094 14 p.

研究成果: ジャーナルへの寄稿記事

Crystal Bases
Time Operator
Evolution Operator
Lie Superalgebra
Soliton Solution
16 引用 (Scopus)

The Akiyama-Tanigawa algorithm for Bernoulli numbers

Kaneko, M., 12 1 2000, : : Journal of Integer Sequences. 3, 2, p. 1-7 7 p.

研究成果: ジャーナルへの寄稿記事

Bernoulli numbers
Stirling numbers
Closed
Computing