Department of Mathematics

Research Output 1978 2019

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2007
73 Citations (Scopus)

Anisotropic hölder and sobolev spaces for hyperbolic diffeomorphisms

Baladi, V. & Tsujii, M., Jan 1 2007, In : Annales de l'Institut Fourier. 57, 1, p. 127-154 28 p.

Research output: Contribution to journalArticle

Transfer Operator
Diffeomorphisms
Sobolev Spaces
Generalized Sobolev Spaces
Hyperbolicity
5 Citations (Scopus)

Asymptotics of the colored Jones polynomial and the A-polynomial

Hikami, K., Jul 2 2007, In : Nuclear Physics B. 773, 3, p. 184-202 19 p.

Research output: Contribution to journalArticle

polynomials
18 Citations (Scopus)

Boson-fermion duality in SU (m | n) supersymmetric Haldane-Shastry spin chain

Basu-Mallick, B., Bondyopadhaya, N., Hikami, K. & Sen, D., Oct 22 2007, In : Nuclear Physics B. 782, 3, p. 276-295 20 p.

Research output: Contribution to journalArticle

bosons
fermions
symmetry
partitions
polynomials
11 Citations (Scopus)

Fiber Hamiltonians in non-relativistic quantum electrodynamics

Hiroshima, F., Nov 1 2007, In : Journal of Functional Analysis. 252, 1, p. 314-355 42 p.

Research output: Contribution to journalArticle

Electrodynamics
Fiber
Ground State
Rotation Invariance
Functional Integral
46 Citations (Scopus)
Neumann function
Classical Limit
A-polynomial
Potential Function
Partition Function
8 Citations (Scopus)
Mock theta Functions
Higher Order
Invariant
Ramanujan
Colored Jones Polynomial
8 Citations (Scopus)

Lusternik-schnirelmann category of spin(9)

Iwase, N. & Kono, A., Apr 1 2007, In : Transactions of the American Mathematical Society. 359, 4, p. 1517-1526 10 p.

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Compact Group
Cones
Bundle
Cone

Lusternik-Schnirelmann category of stunted quasi-projective spaces

Iwase, N. & Miyauchi, T., Jan 1 2007, In : Kyoto Journal of Mathematics. 47, 2, p. 321-326 6 p.

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Projective Space
3 Citations (Scopus)

Mass renormalization in non-relativistic quantum electrodynamics with spin 1/2

Hiroshima, F. & Ito, K. R., May 1 2007, In : Reviews in Mathematical Physics. 19, 4, p. 405-454 50 p.

Research output: Contribution to journalArticle

Electrodynamics
quantum electrodynamics
Renormalization
Effective Mass
Diverge
4 Citations (Scopus)

Multiple q-Mahler measures and zeta functions

Gon, Y., Kurokawa, N. & Oyanagi, H., Jun 1 2007, In : Journal of Number Theory. 124, 2, p. 328-345 18 p.

Research output: Contribution to journalArticle

Mahler Measure
Q-analogue
Riemann zeta function
Calculate

On an extension of the derivation relation for multiple zeta values

Kaneko, M., 2007, In : World Scientific. p. 89-94 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On doubling construction for real unitary dual pairs

Konno, T. & Konno, K., Jun 7 2007, In : Kyushu Journal of Mathematics. 61, 1, p. 35-85 51 p.

Research output: Contribution to journalArticle

Doubling
Correspondence
Unitary group
Duality
Weil Representation
16 Citations (Scopus)

On extremal quasimodular forms

Kaneko, M. & Koike, M., May 10 2007, In : Kyushu Journal of Mathematics. 60, 2, p. 457-470 14 p.

Research output: Contribution to journalArticle

Fourier coefficients
Positivity
Orthogonal Polynomials
Differential equation
Form
1 Citation (Scopus)

On ordinary primes for modular forms and the theta operator

Chida, M. & Kaneko, M., Apr 1 2007, In : Proceedings of the American Mathematical Society. 135, 4, p. 1001-1005 5 p.

Research output: Contribution to journalArticle

Modular Forms
Ramanujan
Operator

On the Alexander stratification in the deformation space of Galois characters

Morishita, M., May 10 2007, In : Kyushu Journal of Mathematics. 60, 2, p. 405-414 10 p.

Research output: Contribution to journalArticle

Character Variety
Knot Group
Galois
Stratification
Knot
2 Citations (Scopus)

Regularities of ground states of quantum field models

Arai, A., Hirokawa, M. & Hiroshima, F., Jan 1 2007, In : Kyushu Journal of Mathematics. 61, 2, p. 321-372 52 p.

Research output: Contribution to journalArticle

Quantum Fields
Ground State
Regularity
Annihilation
Vanish
2 Citations (Scopus)

Volume of truncated fundamental domains

Kim, H. H. & Weng, L., Jun 1 2007, In : Proceedings of the American Mathematical Society. 135, 6, p. 1681-1688 8 p.

Research output: Contribution to journalArticle

Fundamental Domain
2006
7 Citations (Scopus)

BEC of free bosons on networks

Matsui, T., Mar 1 2006, In : Infinite Dimensional Analysis, Quantum Probability and Related Topics. 9, 1, p. 1-26 26 p.

Research output: Contribution to journalArticle

Bose-Einstein condensation
Bose-Einstein Condensation
Bosons
bosons
condensation

Derivation and double shuffle relations for multiple zeta values

Ihara, K., Kaneko, M. & Zagier, D., 2006, In : Compositio Mathematica. 142-02, p. 307-338 12 p.

Research output: Contribution to journalArticle

Multiple zeta Values
Shuffle
Algebraic Structure
135 Citations (Scopus)

Derivation and double shuffle relations for multiple zeta values

Ihara, K., Kaneko, M. & Zagier, D., Dec 21 2006, In : Compositio Mathematica. 142, 2, p. 307-338 32 p.

Research output: Contribution to journalArticle

Multiple zeta Values
Shuffle
Algebraic Structure
18 Citations (Scopus)

Entanglement, haag-duality and type properties of infinite quantum spin chains

Keyl, M., Matsui, T., Schlingemann, D. & Werner, R. F., Oct 1 2006, In : Reviews in Mathematical Physics. 18, 9, p. 935-970 36 p.

Research output: Contribution to journalArticle

Quantum Spin Chain
Entanglement
Duality
Hilbert space
Density Operator

Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

Hikami, K. & Kirillov, A. N., Jan 1 2006, In : St. Petersburg Mathematical Journal. 17, 1, p. 143-156 14 p.

Research output: Contribution to journalArticle

Quantum Invariants
Hypergeometric Functions
Generating Function
Torus knot
Q-series
10 Citations (Scopus)

Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel

Deng, J. & Nii, S., Jun 1 2006, In : Journal of Differential Equations. 225, 1, p. 57-89 33 p.

Research output: Contribution to journalArticle

Evans Function
Solitons
Elliptic Problems
Eigenvalue Problem
Solitary Waves

On some properties of polynomials related to hypergeometric modular forms

Kaneko, M. & Niiho, N., Dec 1 2006, In : Ramanujan Journal. 12, 3, p. 321-325 5 p.

Research output: Contribution to journalArticle

Hypergeometric Polynomials
Irreducibility
Modular Forms
Galois group
Discriminant
12 Citations (Scopus)

On the quantum invariants for the spherical Seifert manifolds

Hikami, K., Dec 1 2006, In : Communications in Mathematical Physics. 268, 2, p. 285-319 35 p.

Research output: Contribution to journalArticle

Seifert Manifold
Quantum Invariants
Modular Forms
Invariant
Invariant Polynomials
13 Citations (Scopus)

Q-Series and L-functions related to half-derivatives of the Andrews-Gordon identity

Hikami, K., Apr 1 2006, In : Ramanujan Journal. 11, 2, p. 175-197 23 p.

Research output: Contribution to journalArticle

Q-series
L-function
Generating Function
Quantum Invariants
Torus knot
6 Citations (Scopus)

Quantum invariants, modular forms, and lattice points II

Hikami, K., Nov 8 2006, In : Journal of Mathematical Physics. 47, 10, 102301.

Research output: Contribution to journalArticle

Quantum Invariants
Modular Lattice
Lattice Points
Modular Forms
Invariant
15 Citations (Scopus)

Smoothness of solenoidal attractors

Avila, A., Gouëzel, S. & Masato, T., Jan 1 2006, In : Discrete and Continuous Dynamical Systems. 15, 1, p. 21-35 15 p.

Research output: Contribution to journalArticle

Sobolev spaces
Skew Product
Real Line
Sobolev Spaces
Byproducts

Spherical Fourier transforms of the Berezin kernels on symmetric Siegel domains

Nomura, T. & Ishi, H., 2006, In : RIMS Kokyuroku. 1487, p. 69-78

Research output: Contribution to journalArticle

17 Citations (Scopus)

Transformation formula of the "second" order mock theta function

Hikami, K., Jan 1 2006, In : Letters in Mathematical Physics. 75, 1, p. 93-98 6 p.

Research output: Contribution to journalArticle

Seifert Manifold
Mock theta Functions
Quantum Invariants
Transformation Formula
2005
4 Citations (Scopus)

A characterization of symmetric cones through pseudoinverse maps

Kai, C. & Nomura, T., Jan 1 2005, In : Journal of the Mathematical Society of Japan. 57, 1, p. 195-215 21 p.

Research output: Contribution to journalArticle

Symmetric Cone
Pseudo-inverse
Tube
Convex Cone
3 Citations (Scopus)

A characterization of symmetric tube domains by convexity of Cayley transform images

Kai, C. & Nomura, T., Jul 1 2005, In : Differential Geometry and its Application. 23, 1, p. 38-54 17 p.

Research output: Contribution to journalArticle

Cayley Transform
Algebra
Convexity
Tube
Jordan Algebra
18 Citations (Scopus)

Ground state for point particles interacting through a massless scalar Bose field

Hirokawa, M., Hiroshima, F. & Spohn, H., Mar 1 2005, In : Advances in Mathematics. 191, 2, p. 339-392 54 p.

Research output: Contribution to journalArticle

Ground State
Scalar
Ultraviolet
Infrared
Charge
8 Citations (Scopus)

Higher arithmetic K-theory

Takeda, Y., Sep 2005, In : Publications of the Research Institute for Mathematical Sciences. 41, 3, p. 599-681 83 p.

Research output: Contribution to journalArticle

K-theory
14 Citations (Scopus)

Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist

Amico, L. & Hikami, K., Feb 1 2005, In : European Physical Journal B. 43, 3, p. 387-391 5 p.

Research output: Contribution to journalArticle

Bosons
bosons
Boundary conditions
interactions
boundary conditions
11 Citations (Scopus)

Lusternik-Schnirelmann category of non-simply connected compact simple Lie groups

Iwase, N., Mimura, M. & Nishimoto, T., May 14 2005, In : Topology and its Applications. 150, 1-3, p. 111-123 13 p.

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Simple group
Analytic group
Compatibility Conditions
Fiber Bundle
13 Citations (Scopus)

Multiplicity of ground states in quantum field models: Applications of asymptotic fields

Hiroshima, F., Jul 15 2005, In : Journal of Functional Analysis. 224, 2, p. 431-470 40 p.

Research output: Contribution to journalArticle

Quantum Fields
Ground State
Multiplicity
Essential Spectrum
Asymptotic Theory
2 Citations (Scopus)

Non-abelian zeta functions for function fields

Weng, L., Jan 1 2005, In : American Journal of Mathematics. 127, 5, p. 973-1017 45 p.

Research output: Contribution to journalArticle

Function Fields
Riemann zeta function
Galois field
Moduli Space
Curve
5 Citations (Scopus)

On the absence of non-periodic ground states for the antiferromagnetic XXZ model

Matsui, T., Feb 1 2005, In : Communications in Mathematical Physics. 253, 3, p. 585-609 25 p.

Research output: Contribution to journalArticle

Ising
Ground State
Anisotropy
anisotropy
ground state
28 Citations (Scopus)

Physical measures for partially hyperbolic surface endomorphisms

Masato, T., Jan 1 2005, In : Acta Mathematica. 194, 1, p. 37-132 96 p.

Research output: Contribution to journalArticle

Physical measure
Hyperbolic Surface
Endomorphisms
8 Citations (Scopus)

Quantum invariant, modular form, and lattice points

Hikami, K., Jan 18 2005, In : International Mathematics Research Notices. 3, p. 121-154 34 p.

Research output: Contribution to journalArticle

Quantum Invariants
Modular Lattice
Lattice Points
Modular Forms
1 Citation (Scopus)

Splitting off rational parts in homotopy types

Iwase, N. & Oda, N., Aug 1 2005, In : Topology and its Applications. 153, 1, p. 133-140 8 p.

Research output: Contribution to journalArticle

Homotopy Type
Abelian group
Rational Homotopy
Finiteness Conditions
Infinite Groups
2004
11 Citations (Scopus)

Behavior of the Bergman kernel at infinity

Chen, B. Y., Kamimoto, J. & Ohsawa, T., Dec 1 2004, In : Mathematische Zeitschrift. 248, 4, p. 695-708 14 p.

Research output: Contribution to journalArticle

Bergman Metric
Bergman Kernel
Convex polyhedron
Domain Model
Decay Rate
12 Citations (Scopus)

Blow-up profile of a solution for a nonlinear heat equation with small diffusion

Yagisita, H. & Kaneko, M., Jan 1 2004, In : Journal of the Mathematical Society of Japan. 56, 4, p. 993-1005 13 p.

Research output: Contribution to journalArticle

Blow-up Set
Nonlinear Heat Equation
Diffusion equation
Blow-up
Semilinear Equations
59 Citations (Scopus)

Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem

Anderson, M., Katsuda, A., Kurylev, Y., Lassas, M. & Taylor, M., Jan 1 2004, In : Inventiones Mathematicae. 158, 2, p. 261-321 61 p.

Research output: Contribution to journalArticle

Geometric Convergence
Boundary Regularity
Boundary Problem
Inverse Problem
Injectivity
2 Citations (Scopus)

Complexes of exact hermitian cubes and the Zagier conjecture

Takeda, Y., Jan 1 2004, In : Mathematische Annalen. 328, 1-2, p. 87-119 33 p.

Research output: Contribution to journalArticle

Regular hexahedron
Polylogarithms
Algebraic number Field
K-theory
Regulator
28 Citations (Scopus)

Difference equation of the colored Jones polynomial for torus knot

Hikami, K., Nov 1 2004, In : International Journal of Mathematics. 15, 9, p. 959-965 7 p.

Research output: Contribution to journalArticle

Colored Jones Polynomial
Torus knot
Difference equation
Second-order Difference Equations
A-polynomial
4 Citations (Scopus)

Generalized mahler measures and multiple sine functions

Gon, Y. & Oyanagi, H., Jul 1 2004, In : International Journal of Mathematics. 15, 5, p. 425-442 18 p.

Research output: Contribution to journalArticle

Multiple Sine Function
Mahler Measure
Dirichlet L-function
Logarithmic
Express

L 2-metrics, projective flatness and families of polarized abelian varieties

To, W. K. & Weng, L., Jul 1 2004, In : Transactions of the American Mathematical Society. 356, 7, p. 2685-2707 23 p.

Research output: Contribution to journalArticle

Abelian Variety
Flatness
Metric
Compact Manifold
Parameter Space
5 Citations (Scopus)
Bosons
Canonical Transformation
Infinitesimal Generator
Fock Space
generators