Department of Mathematics

Research Output 1978 2019

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2015
6 Citations (Scopus)

Prequantum transfer operator for symplectic anosov diffeomorphism

Faure, F. & Masato, T., Jan 1 2015, In : Asterisque. 2015-January, 375, p. 1-237 237 p.

Research output: Contribution to journalArticle

Anosov Diffeomorphism
Transfer Operator
Ring or annulus
Trace Formula
Spectral Properties
5 Citations (Scopus)

Realization of homogeneous cones through oriented graphs

Yamasaki, T. & Nomura, T., Jan 1 2015, In : Kyushu Journal of Mathematics. 69, 1, p. 11-48 38 p.

Research output: Contribution to journalArticle

Oriented Graph
Cone
Symmetric matrix
Positive definite
1 Citation (Scopus)

Self-adjointness of the semi-relativistic Pauli-Fierz Hamiltonian

Hidaka, T. & Hiroshima, F., Aug 19 2015, In : Reviews in Mathematical Physics. 27, 7, 1550015.

Research output: Contribution to journalArticle

Essential Self-adjointness
Self-adjointness
Momentum
momentum
Fock Space
1 Citation (Scopus)
Seiberg-Witten Invariants
Four-manifolds
Connected Sum
Betti numbers
Refinement
10 Citations (Scopus)

Torus knots and quantum modular forms

Hikami, K. & Lovejoy, J., Dec 1 2015, In : Research in Mathematical Sciences. 2, 1, 2.

Research output: Contribution to journalArticle

Torus knot
Q-series
Modular Forms
Colored Jones Polynomial
Left handed

書評 黒川信重: 現代三角関数論

権寧魯, 2015, In : 数学. 67, 3, p. 329-333 5 p.

Research output: Contribution to journalArticle

2014
3 Downloads (Pure)

Basic relative invariants on the dual clans obtained by representations of Euclidean Jordan algebras

Nomura, T. & Nakashima, H., 2014, In : Revue Roumaine de Mathématiques Pures et Appliquées. 59, p. 443-451

Research output: Contribution to journalArticle

File
8 Citations (Scopus)

Braiding operator via quantum cluster algebra

Hikami, K. & Inoue, R., Nov 28 2014, In : Journal of Physics A: Mathematical and Theoretical. 47, 47, 474006.

Research output: Contribution to journalArticle

Cluster Algebra
Quantum Algebra
Algebra
Mathematical operators
algebra
7 Citations (Scopus)

Cluster algebra and complex volume of once-punctured torus bundles and 2-bridge links

Hikami, K. & Inoue, R., Jan 1 2014, In : Journal of Knot Theory and its Ramifications. 23, 1, 1450006.

Research output: Contribution to journalArticle

Cluster Algebra
Bundle
Torus
Complement
Canonical Decomposition

Co-H-Spaces and Almost Localization

Costoya, C. & Iwase, N., Oct 27 2014, In : Proceedings of the Edinburgh Mathematical Society. 58, 2, p. 323-332 10 p.

Research output: Contribution to journalArticle

H-space
Coaction
Converse
Covering
8 Citations (Scopus)

Functional integral approach to semi-relativistic Pauli-Fierz models

Hiroshima, F., Jul 10 2014, In : Advances in Mathematics. 259, p. 784-840 57 p.

Research output: Contribution to journalArticle

Functional Integral
Ground State
Functional Integration
Self-adjointness
Self-adjoint Extension
10 Citations (Scopus)

Multi-poly-bernoulli numbers and finite multiple zeta values

Imatomi, K., Kaneko, M. & Takeda, E., Feb 17 2014, In : Journal of Integer Sequences. 17, 4, p. 1-12 12 p., 14.4.5.

Research output: Contribution to journalArticle

Multiple zeta Values
Bernoulli numbers
3 Citations (Scopus)

Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing

Hiroshima, F. & Sasaki, I., Jul 15 2014, In : Journal of Mathematical Analysis and Applications. 415, 2, p. 595-609 15 p.

Research output: Contribution to journalArticle

Spectral Analysis
Harmonic Oscillator
Spectrum analysis
Lowest
Eigenvalue
5 Citations (Scopus)

Spin-boson model through a Poisson-driven stochastic process

Hirokawa, M., Hiroshima, F. & Lőrinczi, J., Jan 1 2014, In : Mathematische Zeitschrift. 277, 3-4, p. 1165-1198 34 p.

Research output: Contribution to journalArticle

Bosons
Stochastic Processes
Siméon Denis Poisson
Ground State
Poisson Point Process
7 Citations (Scopus)

Ultraviolet renormalization of the Nelson Hamiltonian through functional integration

Gubinelli, M., Hiroshima, F. & Lorinczi, J., Nov 1 2014, In : Journal of Functional Analysis. 267, 9, p. 3125-3153 29 p.

Research output: Contribution to journalArticle

Functional Integration
Ultraviolet
Renormalization
Gibbs Measure
Weak Coupling
2013
6 Citations (Scopus)
Newton Polyhedron
Oscillatory Integrals
Asymptotic Analysis
Riemann zeta function
Pole
23 Citations (Scopus)

Band structure of the Ruelle spectrum of contact Anosov flows

Faure, F. & Masato, T., May 1 2013, In : Comptes Rendus Mathematique. 351, 9-10, p. 385-391 7 p.

Research output: Contribution to journalArticle

Anosov Flow
Band Structure
Contact
Eigenvalue
Vertical
6 Citations (Scopus)

Boundedness of entanglement entropy and split property of quantum spin chains

Matsui, T., Oct 1 2013, In : Reviews in Mathematical Physics. 25, 9, 1350017.

Research output: Contribution to journalArticle

Quantum Spin Chain
Entanglement
Boundedness
Subsystem
Entropy
3 Citations (Scopus)

Clans defined by representations of euclidean Jordan algebras and the associated basic relative invariants

Nakashima, H. & Nomura, T., Jul 25 2013, In : Kyushu Journal of Mathematics. 67, 1, p. 163-202 40 p.

Research output: Contribution to journalArticle

Euclidean Jordan Algebra
Quadratic Map
Adjunction
Jordan Algebra
Multiplication Operator
8 Citations (Scopus)

Double zeta values, double Eisenstein series, and modular forms of level 2

Kaneko, M. & Tasaka, K., Nov 1 2013, In : Mathematische Annalen. 357, 3, p. 1091-1118 28 p.

Research output: Contribution to journalArticle

Eisenstein Series
Shuffle
Modular Forms
8 Citations (Scopus)

Enriques moonshine

Eguchi, T. & Hikami, K., Aug 9 2013, In : Journal of Physics A: Mathematical and Theoretical. 46, 31, 312001.

Research output: Contribution to journalArticle

Elliptic Genus
Symmetry Group
symmetry
2 Citations (Scopus)

Instanton Floer homology for lens spaces

Sasahira, H., Jan 1 2013, In : Mathematische Zeitschrift. 273, 1-2, p. 237-281 45 p.

Research output: Contribution to journalArticle

Floer Homology
Lens Space
Instantons
Homology
Four-manifolds
10 Citations (Scopus)

Modular Forms and Second Order Ordinary Differential Equations: Applications to Vertex Operator Algebras

Kaneko, M., Nagatomo, K. & Sakai, Y., Jan 1 2013, In : Letters in Mathematical Physics. 103, 4, p. 439-453 15 p.

Research output: Contribution to journalArticle

Vertex Operator Algebras
Second-order Ordinary Differential Equations
Modular Forms
algebra
apexes
4 Citations (Scopus)

Multiplicity of the lowest eigenvalue of non-commutative harmonic oscillators

Hiroshima, F. & Sasaki, I., Dec 2 2013, In : Kyushu Journal of Mathematics. 67, 2, p. 355-366 12 p.

Research output: Contribution to journalArticle

Harmonic Oscillator
Lowest
Multiplicity
Eigenvalue

Nilpotent class field theory for manifolds

Kim, J., Kodani, H. & Morishita, M., Jan 1 2013, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 89, 1, p. 15-19 5 p.

Research output: Contribution to journalArticle

Class Field Theory
Lie Algebra
Topological manifold
Lower Central Series
Local Field
9 Citations (Scopus)
Bound States
Operator
Magnetic Field
Martingale Method
Subordinator
1 Citation (Scopus)

The Ramanujan-serre differential operators and certain elliptic curves

Kaneko, M. & Sakai, Y., Aug 1 2013, In : Proceedings of the American Mathematical Society. 141, 10, p. 3421-3429 9 p.

Research output: Contribution to journalArticle

Ramanujan
Elliptic Curves
Differential operator
Differential equations
Congruence Subgroups
44 Citations (Scopus)

Time scales in the approach to equilibrium of macroscopic quantum systems

Goldstein, S., Hara, T. & Tasaki, H., Oct 1 2013, In : Physical Review Letters. 111, 14, 140401.

Research output: Contribution to journalArticle

theorems
2012
3 Citations (Scopus)

Absence of ground state for the Nelson model on static space-times

Gérard, C., Hiroshima, F., Panati, A. & Suzuki, A., Jan 1 2012, In : Journal of Functional Analysis. 262, 1, p. 273-299 27 p.

Research output: Contribution to journalArticle

Ground State
Space-time
Bosons
Infinity
Path Space
2 Citations (Scopus)

A probabilistic representation of the ground state expectation of fractional powers of the boson number operator

Hiroshima, F., Lorinczi, J. & Takaesu, T., Nov 15 2012, In : Journal of Mathematical Analysis and Applications. 395, 2, p. 437-447 11 p.

Research output: Contribution to journalArticle

Bosons
Fractional Powers
Ground state
Ground State
Polaron
24 Citations (Scopus)

Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform

Masato, T., Dec 1 2012, In : Ergodic Theory and Dynamical Systems. 32, 6, p. 2083-2118 36 p.

Research output: Contribution to journalArticle

Anosov Flow
Transfer Operator
Mathematical operators
Contact
Transform

Kakutani Dichotomy on Free States

Matsui, T. & Yamagami, S., Oct 1 2012, In : Letters in Mathematical Physics. 102, 3, p. 285-295 11 p.

Research output: Contribution to journalArticle

dichotomies
Dichotomy
Disjoint
algebra
Algebra
7 Citations (Scopus)

N=2 moonshine

Eguchi, T. & Hikami, K., Oct 22 2012, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 717, 1-3, p. 266-273 8 p.

Research output: Contribution to journalArticle

algebra
2 Citations (Scopus)

On fourier coefficients of some meromorphic modular forms

Honda, Y. & Kaneko, M., Dec 1 2012, In : Bulletin of the Korean Mathematical Society. 49, 6, p. 1349-1357 9 p.

Research output: Contribution to journalArticle

Meromorphic
Modular Forms
Fourier coefficients
Congruence
Modulo
21 Citations (Scopus)

Path integral representation for schrödinger operators with bernstein functions of the laplacian

Hiroshima, F., Ichinose, T. & Lrinczi, J., Jul 1 2012, In : Reviews in Mathematical Physics. 24, 6, 1250013.

Research output: Contribution to journalArticle

Bernstein Function
Curvilinear integral
Integral Representation
operators
integers
3 Citations (Scopus)

Removal of UV Cutoff for the Nelson Model with Variable Coefficients

Gérard, C., Hiroshima, F., Panati, A. & Suzuki, A., Sep 1 2012, In : Letters in Mathematical Physics. 101, 3, p. 305-322 18 p.

Research output: Contribution to journalArticle

Variable Coefficients
cut-off
coefficients
Metric
Ultraviolet
2 Citations (Scopus)
Real Quadratic Fields
Modular Group
Meromorphic
Riemann zeta function
Hilbert
1 Citation (Scopus)

The Milnor-stasheff filtration on spaces and generalized cyclic maps

Iwase, N., Mimura, M., Oda, N. & Yoon, Y. S., Aug 29 2012, In : Canadian Mathematical Bulletin. 55, 3, p. 523-536 14 p.

Research output: Contribution to journalArticle

K-space
Filtration
If and only if
Lens Space
H-space
6 Citations (Scopus)

Twisted Elliptic Genus for K3 and Borcherds Product

Eguchi, T. & Hikami, K., Nov 1 2012, In : Letters in Mathematical Physics. 102, 2, p. 203-222 20 p.

Research output: Contribution to journalArticle

Elliptic Genus
K3 Surfaces
Conjugacy class
Siegel Modular Forms
products
2 Citations (Scopus)

Veronese arrangements of hyperplanes in real projective spaces

Cho, K. & Yoshida, M., May 1 2012, In : International Journal of Mathematics. 23, 5, 12500619.

Research output: Contribution to journalArticle

Arrangement of Hyperplanes
Projective Space
Arrangement
2011
2 Citations (Scopus)

Asymptotics of the Bergman function for semipositive holomorphic line bundles

Cho, K., Kamimoto, J. & Nose, T., Nov 12 2011, In : Kyushu Journal of Mathematics. 65, 2, p. 349-382 34 p.

Research output: Contribution to journalArticle

Line Bundle
Compact Manifold
High Power
Asymptotic Expansion
Metric
1 Citation (Scopus)

Baker-Akhiezer modules on the intersections of shifted theta divisors

Cho, K., Mironov, A. & Nakayashiki, A., Jun 28 2011, In : Publications of the Research Institute for Mathematical Sciences. 47, 2, p. 553-567 15 p.

Research output: Contribution to journalArticle

Theta Divisor
Intersection
Module
Evolution Equation
Ring of Differential Operators

CONGRUENCES MODULO 4 OF CALIBERS OF REAL QUADRATIC FIELDS

Kaneko, M. & Mori, K., 2011, In : Annales mathématiques du Québec. 35 No.2, p. 185-195 11 p.

Research output: Contribution to journalArticle

Real Quadratic Fields
Discriminant
Congruence
Modulo
Partial
2 Citations (Scopus)

Deligne pairing and determinant bundle

Biswas, I., Schumacher, G. & Weng, L., Dec 1 2011, In : Electronic Research Announcements in Mathematical Sciences. 18, p. 91-96 6 p.

Research output: Contribution to journalArticle

Line Bundle
Pairing
Bundle
Determinant
Morphism
1 Citation (Scopus)
Lame number
Symbolic Computation
Stochastic models
Elliptic Curves
Polynomials
6 Citations (Scopus)

Infrared Problem for the Nelson Model on Static Space-Times

Gérard, C., Hiroshima, F., Panati, A. & Suzuki, A., Dec 1 2011, In : Communications in Mathematical Physics. 308, 2, p. 543-566 24 p.

Research output: Contribution to journalArticle

Ground State
Infrared
Space-time
Bosons
infinity
58 Citations (Scopus)

Note on twisted elliptic genus of K3 surface

Eguchi, T. & Hikami, K., Jan 3 2011, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 694, 4-5, p. 446-455 10 p.

Research output: Contribution to journalArticle

proposals
decomposition
expansion
symmetry
coefficients
4 Citations (Scopus)

On Goncharov's regulator and higher arithmetic chow groups

Gil, J. I. B., Feliu, E. & Takeda, Y., Jan 5 2011, In : International Mathematics Research Notices. 2011, 1, p. 40-73 34 p.

Research output: Contribution to journalArticle

Arithmetic Groups
Chow Groups
Regulator
Algebraic Groups
Cohomology
8 Citations (Scopus)

On the modularity of the unified WRT invariants of certain Seifert manifolds

Bringmann, K., Hikami, K. & Lovejoy, J., Jan 1 2011, In : Advances in Applied Mathematics. 46, 1-4, p. 86-93 8 p.

Research output: Contribution to journalArticle

Seifert Manifold
Mock theta Functions
Modularity
Trefoil
Invariant

On the SO(N) and Sp(N) free energy of a rational homology three-sphere

Takata, T., Apr 1 2011, In : International Journal of Mathematics. 22, 4, p. 465-482 18 p.

Research output: Contribution to journalArticle

Free Energy
Homology
Genus
Lens Space
Term