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End-to-End Relation Extraction using LSTMs on Sequences and Tree StructuresJan 05 2016Jun 08 2016We present a novel end-to-end neural model to extract entities and relations between them. Our recurrent neural network based model captures both word sequence and dependency tree substructure information by stacking bidirectional tree-structured LSTM-RNNs ... More

Enhancing Drug-Drug Interaction Extraction from Texts by Molecular Structure InformationMay 15 2018We propose a novel neural method to extract drug-drug interactions (DDIs) from texts using external drug molecular structure information. We encode textual drug pairs with convolutional neural networks and their molecular pairs with graph convolutional ... More

A Walk-based Model on Entity Graphs for Relation ExtractionFeb 19 2019We present a novel graph-based neural network model for relation extraction. Our model treats multiple pairs in a sentence simultaneously and considers interactions among them. All the entities in a sentence are placed as nodes in a fully-connected graph ... More

Geometrically incompressible non-orientable closed surfaces in lens spacesMar 26 2009Apr 20 2009We consider non-orientable closed surfaces of minimum crosscap number in the $(p,q)$-lens space $L(p,q) \cong V_1 \cup_{\partial} V_2$, where $V_1$ and $V_2$ are solid tori. Bredon and Wood gave a formula for calculating the minimum crosscap number. Rubinstein ... More

Task-Oriented Learning of Word Embeddings for Semantic Relation ClassificationFeb 28 2015Jun 22 2015We present a novel learning method for word embeddings designed for relation classification. Our word embeddings are trained by predicting words between noun pairs using lexical relation-specific features on a large unlabeled corpus. This allows us to ... More

Bib2vec: An Embedding-based Search System for Bibliographic InformationJun 16 2017Apr 05 2018We propose a novel embedding model that represents relationships among several elements in bibliographic information with high representation ability and flexibility. Based on this model, we present a novel search system that shows the relationships among ... More

Inter-sentence Relation Extraction with Document-level Graph Convolutional Neural NetworkJun 11 2019Inter-sentence relation extraction deals with a number of complex semantic relationships in documents, which require local, non-local, syntactic and semantic dependencies. Existing methods do not fully exploit such dependencies. We present a novel inter-sentence ... More

Non-orientable fundamental surfaces in lens spacesSep 10 2008We give a concrete example of an infinite sequence of $(p_n, q_n)$-lens spaces $L(p_n, q_n)$ with natural triangulations $T(p_n, q_n)$ with $p_n$ taterahedra such that $L(p_n, q_n)$ contains a certain non-orientable closed surface which is fundamental ... More

Q-fundamental surfaces in lens spacesSep 09 2008We determine all the Q-fundamental surfaces in $(p,1)$-lens spaces and $(p,2)$-lens spaces with respect to natural triangulations with $p$ tetrahedra. For general $(p,q)$-lens spaces, we give an upper bound for elements of vectors which represent Q-fundamental ... More

Zeros and poles of quantum current operators and the condition of quantum integrabilityAug 01 1996Aug 29 1996For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we study the zeros and poles of the quantum current operators and present a condition ... More

QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regimeJan 25 1996An integral solution to the quantum Knizhnik-Zamolodchikov ($q$KZ) equation with $|q|=1$ is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ model in the gapless regime. The validity of this conjecture ... More

The Monodromy Matrices of the XXZ Model in the Infinite Volume LimitJun 12 1997We consider the XXZ model in the infinite volume limit with spin half quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain $U_q(\hat{sl_2})$ ... More

Evolution of the Relativistic Plasmoid-Chain in the Poynting-Dominated PlasmaJul 22 2013In this paper, we investigate the evolution of the plasmoid-chain in a Poynting-dominated plasma. We model the relativistic current sheet with cold background plasma using the relativistic resistive magnetohydrodynamic approximation, and solve its temporal ... More

Nonnegative solutions to stochastic heat equation with nonlinear driftJun 27 2013We consider one-dimensional stochastic heat equation with nonlinear drift, $\displaystyle \partial_t u=\frac{1}{2}\Delta u+b(u)u+\sigma(u)\dot{W}(t,x)$, where $b:\mathbb{R}_{+}\to \mathbb{R}$ is a continuous function and $\sigma:\mathbb{R}_{+}\to \mathbb{R}$ ... More

Why do we need instantons in strangeness hadron physics?Nov 24 2004Roles of instantons in strangeness hadron physics are discussed. After introducing general features of instantons, hadron spectroscopy under the influence of instanton-quark effective interactions is discussed. Emphases are on the H dibaryon, spin-orbit ... More

QCD Sum Rules of PentaquarksSep 25 2004QCD sum rule is applied to the pentaquark spectroscopy. It is concluded that no positive parity state is seen in low energy region, while there may exist negative parity states at around 1.5 GeV. Choice of interpolating local operators and relation to ... More

Models of the Nonmesonic Weak DecayMar 15 2004I review the current status of understanding the mechanism of the nonmesonic weak decays (NMWD) of hypernuclei. Long standing problem on the Gamma_n/Gamma_p ratio has been solved by considering short-range weak interactions properly. This leaves a few ... More

$π^+$ Emission from Hypernuclei and the Weak $ΔI=3/2$ TransitionsNov 25 1997Jan 05 1999Low energy $\pi^+$ emission in hypernuclear weak decays is studied in the soft pion limit. It is found that the $\pi^+$ decay amplitude is dominated by the $\Delta I=3/2$ part of nonmesonic weak decays according to the soft pion theorem. The ratios, $R(\pi^+/soft ... More

Theoretical Overview of the Pentaquark BaryonsJun 21 2004A review is given of the theoretical ideas concerning the mysterious pentaquark baryons proposed during the first year after its discovery. We focus on the difficulties involved with the constituent quark models and the discrepancy between the QCD predictions ... More

Direct Quark Mechanism for Weak $\Lam N \leftrightarrow NN$ ProcessesJan 16 1998Two body weak processes $\Lambda N \leftrightarrow NN$ are studied from the viewpoint of quark substructure of baryons.They can be studied in nonmesonic weak decays of hypernuclei and also hyperon production in the $NN$ scattering. The direct quark mechanism ... More

Roles of Quark Degrees of Freedom in HypernucleiJul 31 1997The quark model description of the hyperon nucleon forces, especially the antisymmetric spin-orbit forces, is studied from the spin-flavor SU(6) and the flavor SU(3) symmetry point of view. It is pointed out that the quark exchange interaction predicts ... More

Clustering Analysis of Periodic Point Vortices with the $L$ FunctionAug 28 2006Mar 01 2007A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with ... More

Bifurcations and Chaos in the Six-Dimensional Turbulence Model of GledzerMay 19 2006May 26 2006The cascade-shell model of turbulence with six real variables originated by Gledzer is studied numerically using Mathematica 5.1. Periodic, doubly-periodic and chaotic solutions and the routes to chaos via both frequency-locking and period-doubling are ... More

Determinantal Martingales and Interacting Particle SystemsJul 09 2013Determinantal process is a dynamical extension of a determinantal point process such that any spatio-temporal correlation function is given by a determinant specified by a single continuous function called the correlation kernel. Noncolliding diffusion ... More

Bessel process, Schramm-Loewner evolution, and Dyson modelMar 24 2011Bessel process is defined as the radial part of the Brownian motion (BM) in the $D$-dimensional space, and is considered as a one-parameter family of one-dimensional diffusion processes indexed by $D$, BES$^{(D)}$. It is well-known that $D_{\rm c}=2$ ... More

Survival probability of mutually killing Brownian motions and the O'Connell processDec 17 2011Mar 23 2012Recently O'Connell introduced an interacting diffusive particle system in order to study a directed polymer model in 1+1 dimensions. The infinitesimal generator of the process is a harmonic transform of the quantum Toda-lattice Hamiltonian by the Whittaker ... More

The singularity problem in string theoryAug 24 2001Dec 26 2001We review the current status of the singularity problem in string theory for non-experts. After the problem is discussed from the point of view of supergravity, we discuss classic examples and recent examples of singularity resolution in string theory. ... More

Closed incompressible surfaces of genus two in 3-bridge knot complementsFeb 28 2007In this paper, we characterize closed incompressible surfaces of genus two in the complements of 3-bridge knots and links. This characterization includes that of essential 2-string tangle decompositions for 3-bridge knots and links.

Edge number of knots and linksMay 30 2007We introduce a new numerical invariant of knots and links made from the partitioned diagrams. It measures the complexity of knots and links.

Hasse principle for character group of finitely generated field over the rational number fieldOct 16 2012In this paper, we show the Hasse principle for the character group of a finitely generated field over the rational number field. By applying this result, we obtain an algebraic proof of unramified class field theory of arithmetical schemes.

Global existence problem in $T^3$-Gowdy symmetric IIB superstring cosmologyOct 22 2003We show global existence theorems for Gowdy symmetric spacetimes with type IIB stringy matter. The areal and constant mean curvature time coordinates are used. Before coming to that, it is shown that a wave map describes the evolution of this system.

Comment on "Reaction-Limited Island Nucleation in Molecular Beam Epitaxy of Compound Semiconductors"Jan 14 2002Jan 18 2002A Comment on the Letter by P. Kratzer and M. Scheffler, Phys. Rev. Lett. 88, 036102 (2002).

Determinantal Martingales and Noncolliding Diffusion ProcessesMay 19 2013Jul 09 2014Two aspects of noncolliding diffusion processes have been extensively studied. One of them is the fact that they are realized as harmonic Doob transforms of absorbing particle systems in the Weyl chambers. Another aspect is integrability in the sense ... More

Slope equality of plane curve fibrations and its application to Durfee's conjectureApr 28 2017Apr 17 2018We give a slope equality for fibered surfaces whose general fiber is a smooth plane curve. As a corollary, we prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities ... More

Mixed anomalies of chiral algebras compactified to smooth quasi-projective surfacesDec 14 2007Feb 25 2015Some time ago, the chiral algebra theory of Beilinson-Drinfeld was expected to play a central role in the convergence of divergence in mathematical physics of superstring theory for quantization of gauge theory and gravity. Naively, this algebra plays ... More

Closed incompressible surfaces in the complements of positive knotsApr 24 2001We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splitability and the primeness of positive ... More

AdS/CFT Duality User GuideSep 11 2014Aug 31 2016This is the draft/updated version of a textbook on "real-world" applications of the AdS/CFT duality for beginning graduate students in particle physics and for researchers in the other fields. The aim of this book is to provide background materials such ... More

Critical phenomena in the AdS/CFT dualityJun 25 2010We review black holes with second-order phase transition in string theory (R-charged black holes and holographic superconductors) and review their static and dynamic critical phenomena. Holographic superconductors have conventional mean-field values for ... More

Monodromy of Gauss-Manin connection for deformation by group cocyclesJul 28 2012We consider the 2-cocycle deformation of algebras graded by discrete groups. The action of the Maurer-Cartan form is shown to be cohomologous to the cup product action of the group cocycle. This allows us to compute the monodromy of the Gauss-Manin connection ... More

Turbulence in quantum fluidsNov 30 2013Jan 07 2014This paper reviews briefly the recent important developments in the physics of quantum turbulence (QT) in superfluid helium and atomic Bose-Einstain condensates (BECs). After giving basics of quantum hydrodynamics, we discuss energy spectrum, QT created ... More

Hydrodynamic Instability and Turbulence in Quantum FluidsJul 16 2012Superfluid turbulence consisting of quantized vortices is called quantum turbulence (QT). Quantum turbulence and quantized vortices were discovered in superfluid $^4$He about 50 years ago, but innovation has occurred recently in this field. One is in ... More

Almost sure central limit theorem for branching random walks in random environmentJan 06 2011We consider the branching random walks in $d$-dimensional integer lattice with time--space i.i.d. offspring distributions. Then the normalization of the total population is a nonnegative martingale and it almost surely converges to a certain random variable. ... More

Hyperon-Nucleon Interaction in a Quark ModelOct 13 1993A lecture given at the International School Seminar on {\sl Hadrons and Nuclei from QCD}, Tsuruga-Vladivostok-Sapporo, August-September, 1993. A realistic hyperon ($Y$)-nucleon ($N$) interaction based on the quark model and the one-boson-exchange potential ... More

On the nonrelativistic limit of a semilinear field equation in a uniform and isotropic spaceDec 26 2015The nonrelativistic limit of a semilinear field equation is considered in a uniform and isotropic space.The scale-function of the space is constructed based on the Einstein equation.The Cauchy problem of the limit-equation is considered,and global and ... More

Topological Aspects of an Antisymmetric Background Field on OrbifoldsJan 14 1993We study string theory on orbifolds in the presence of an antisymmetric constant background field in detail and discuss some of new aspects of the theory. It is pointed out that the term with the antisymmetric background field can be regarded as a topological ... More

Elliptic Bessel processes and elliptic Dyson models realized as temporally inhomogeneous processesMay 10 2016Sep 22 2016The Bessel process with parameter $D>1$ and the Dyson model of interacting Brownian motions with coupling constant $\beta >0$ are extended to the processes in which the drift term and the interaction terms are given by the logarithmic derivatives of Jacobi's ... More

Clustering of point vortices in a periodic boxOct 31 2007The Monte Carlo simulation of $N$ point vortices with square periodic boundary conditions is performed where $N$ is order of 100. The clustering property is examined by computing the $L$ function familiar in the field of spatial ecology. The case of a ... More

A note on Gersten's conjecture for étale cohomology over two-dimensional henselian regular local ringsMar 05 2019We show the Gersten's conjecture for \'etale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As application, we obtain the local-global principle for Galois cohomology over mixed characteristic two-dimensional ... More

On the Hasse Principle for the Brauer group of a purely transcendental extension field in one variable over an arbitrary fieldJan 11 2012In this paper we show the Hasse principle for the Brauer group of a purely transcendental extension field in one variable over an arbitrary field.

A property of diagrams of the trivial knotJun 13 2006Apr 04 2007In this paper, we give a necessary condition for a diagram to represent the trivial knot.

Morse position of knots and closed incompressible surfacesMar 18 2005Nov 13 2006In this paper, we study on knots and closed incompressible surfaces in the 3-sphere via Morse functions. We show that both of knots and closed incompressible surfaces can be isotoped into a "related Morse position" simultaneously. As an application, we ... More

Irrationality of special values of formal Laurent series represented by the formal Mellin transform of $G$-functionsDec 28 2016Jan 04 2018Let $p$ be a prime number and $\mathbb{C}_p$ the completion of algebraic closure of $\mathbb{Q}_p$. Let $K$ be an algebraic number field. We fix an embedding $\iota_p:\overline{\mathbb{Q}}\hookrightarrow \mathbb{C}_p$ and denote $K_p$ the completion of ... More

Auto-correlation Functions and Quantum Fluctuations of the Transverse Ising Chain by the Quantum Transfer Matrix MethodSep 01 2010The Quantum Transfer Matrix method based on the Suzuki-Trotter formulation is extended to dynamical problems. The auto-correlation functions of the Transverse Ising chain are derived by this method. It is shown that the Trotter-directional correlation ... More

Non-triviality of generalized alternating knotsApr 01 2005Apr 07 2005In this article, we consider alternating knots on a closed surface in the 3-sphere, and show that these are not parallel to any closed surface disjoint from the prescribed one.

Memristor Circuits for Simulating Nonlinear Dynamics and Their Periodic ForcingFeb 21 2019In this paper, we show that the dynamics of a wide variety of nonlinear systems such as engineering, physical, chemical, biological, and ecological systems, can be simulated or modeled by the dynamics of memristor circuits. It has the advantage that we ... More

Index character associated to the projective Dirac operatorJul 15 2011We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the projective Dirac operator by Mathai--Melrose--Singer.

Iteration Algebras for UnQL Graphs and Completeness for BisimulationSep 17 2015This paper shows an application of Bloom and Esik's iteration algebras to model graph data in a graph database query language. About twenty years ago, Buneman et al. developed a graph database query language UnQL on the top of a functional meta-language ... More

A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimensionJun 18 2014We consider the behavior of the quantity $p(\beta)$; the free energy of directed polymers in random environment in $1+2$ dimension, where $\beta$ is inverse temperature. We know that the free energy is strictly negative when $\beta$ is not zero. In this ... More

Spectroscopy of Pentaquark BaryonsSep 07 2005A review is given to pentaquark mass predictions in quark models and QCD. It is pointed out that no successful quark model prediction is available for low-lying pentaquark states. Some new results of direct application of QCD, QCD sum rules and lattice ... More

On the derivation of several second order partial differential equations from a generalization of the Einstein equationMar 15 2016A generalization of the Einstein equation is considered for complex line elements. Several second order semilinear partial differential equations are derived from it as semilinear field equations in uniform and isotropic spaces. The nonrelativistic limits ... More

Double Periodicity and Frequency-Locking in the Langford EquationJul 05 2007The bifurcation structure of the Langford equation is studied numerically in detail. Periodic, doubly-periodic, and chaotic solutions and the routes to chaos via coexistence of double periodicity and period-doubling bifurcations are found by the Poincar\'e ... More

System of Complex Brownian Motions Associated with the O'Connell ProcessJun 11 2012Sep 15 2012The O'Connell process is a softened version (a geometric lifting with a parameter $a>0$) of the noncolliding Brownian motion such that neighboring particles can change the order of positions in one dimension within the characteristic length $a$. This ... More

Non-colliding system of Brownian particles as Pfaffian processJun 10 2005In the paper [7] we studied the temporally inhomogeneous system of non-colliding Brownian motions and proved that multi-time correlation functions are generally given by the quaternion determinants in the sense of Dyson and Mehta. In this report we give ... More

Thermodynamic potential of interacting Bose-Einstein gas confined in harmonic potentialFeb 15 2001We investigate the interaction effect between atoms and the finite size effect of a Bose-Einstein gas at finite temperature. Using a mean field approach, we derive the thermodynamic potential on finite systems and obtain the condensate fraction, the chemical ... More

String theory implications on causal hydrodynamicsJul 09 2008Aug 21 2008We summarize the main lessons for causal hydrodynamics/second order hydrodynamics/Israel-Stewart theory from string theory.

Causal hydrodynamics and the membrane paradigmJul 09 2008Sep 24 2008We obtain the relaxation time for the shear viscous stress for various geometries using the "membrane paradigm" formula proposed recently. We consider the generic Schwarzschild-AdS black holes (SAdS), the generic Dp-brane, the Klebanov-Tseytlin (KT) geometry, ... More

String theory and quark-gluon plasmaJan 24 2007Feb 28 2007We review the AdS/CFT description of gauge theory plasmas for non-experts. We discuss the low shear viscosity, jet quenching, and J/psi-suppression, which are three major signatures for the quark-gluon plasma observed at RHIC experiments.

The five-dimensional Kaluza-Klein electric dipole and brane -- anti-brane pairsMay 26 1999May 31 1999This paper has been withdrawn for revision, due to misinterpretations of the results.

Quantum TurbulenceJun 17 2008Jun 19 2008The present article reviews the recent developments in the physics of quantum turbulence. Quantum turbulence (QT) was discovered in superfluid $^4$He in the 1950s, and the research has tended toward a new direction since the mid 90s. The similarities ... More

Linear independence of values of logarithms revisitedApr 03 2019Let $m\ge 2$ be an integer, $K$ an algebraic number field and $\alpha\in K\setminus \{0,-1\}$ with sufficiently small absolute value. In this article, we provide a new lower bound for linear form in $1,{\rm{log}}(1+\alpha),\ldots,{\rm{log}}^{m-1}(1+\alpha)$ ... More

Unknotting submanifolds of the 3-sphere by twistingsSep 21 2016Feb 06 2019By the Fox's re-embedding theorem, any compact submanifold of the 3-sphere can be re-embedded in the 3-sphere so that it is unknotted. It is unknown whether the Fox's re-embedding can be replaced with twistings. In this paper, we will show that any closed ... More

Non-adiabatic dynamics in 10Be with the microscopic alpha+alpha+N+N modelAug 17 2005Mar 02 2006The alpha+6He low-energy reactions and the structural changes of 10Be in the microscopic alpha+alpha+N+N model are studied by the generalized two-center cluster model with the Kohn-Hulthen-Kato variation method. It is found that, in the inelastic scattering ... More

Durfee-type inequality for complete intersection surface singularitiesMay 14 2018We prove that the signature of the Milnor fiber of smoothings of a $2$-dimensional isolated complete intersection singularity does not exceed the negative number determined by the geometric genus, the embedding dimension and the number of irreducible ... More

Branching random walks in random environment and super-Brownian motion in random environmentApr 23 2013Jun 27 2013We focus on the existence and characterization of the limit for a certain critical branching random walks in time-space random environment in one dimension which was introduced by M. Birnkenr et.al. Each particle performs simple random walk on $\mathbb{Z}$ ... More

Mixing property and pseudo random sequencesAug 10 2006We will give a summary about the relations between the spectra of the Perron--Frobenius operator and pseudo random sequences for 1-dimensional cases.

Baryon-Baryon Interaction in the Quark Cluster ModelJun 19 2003The quark cluster model approach to the baryon-baryon interaction is reviewed and recent application to the charge symmetry breaking in nuclear force is discussed.

Summary of the YITP-RCNP Workshop on Chiral Restoration in Nuclear MediumJun 19 2003This is a personal summary of the workshop. I overview the topics of the workshop and itemize what we learned at the workshop.

Strong and Weak Interactions of Strange HadronsFeb 15 1995I review hadronic processes involving strange hadrons, especially hyperons from the quark structure point of view. The strong interaction of quarks expects several important new features when the strangeness is introduced upon the non-strange degrees ... More

Dynamics of Multiquark Systems: Mass, Width and ExoticsOct 27 2006Exotic multi-quark states are examined in the quark model and in QCD. Current status of theoretical studies of the pentaquark Theta^+ is reported. We show recent analyses of multi-quark components of baryons. A novel method to extract a compact excited ... More

Chiral Symmetry and Weak Decay of HypernucleiJun 15 1999The weak decays of hyperons and hypernuclei are studied from the chiral symmetry viewpoint. The soft pion relations are useful in understanding the isospin properties of the weak hyperon decays. Recent development on the short-range part of the $\Lam ... More

Unknotting submanifolds of the 3-sphere by twistingsSep 21 2016By the Fox's re-embedding theorem, any compact submanifold of the 3-sphere can be re-embedded in the 3-sphere so that it is unknotted. It is unknown whether the Fox's re-embedding can be replaced with twistings. In this paper, we will show that any closed ... More

Ground state property of Bose-Einstein gas for arbitrary power low interactionJan 16 2002We study Bose-Einstein gas for an arbitrary power low interaction $C_{\alpha}r^{-\alpha}$. This is done by the Hartree Fock Bogoliubov (HFB) approach at $T \le T_{c}$ and the mean field approach at $T>T_{c}$. Especially, we investigate the ground state ... More

On the Probability Distribution of Velocity Circulation in Three-Dimensional TurbulenceJul 23 1993The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the standard deviation ... More

Reciprocal Time Relation of Noncolliding Brownian Motion with DriftApr 25 2012Jun 15 2012We consider an $N$-particle system of noncolliding Brownian motion starting from $x_1 \leq x_2 \leq ... \leq x_N$ with drift coefficients $\nu_j, 1 \leq j \leq N$ satisfying $\nu_1 \leq \nu_2 \leq ... \leq \nu_N$. When all of the initial points are degenerated ... More

Elliptic Determinantal Process of Type ANov 17 2013Sep 29 2014We introduce an elliptic extension of Dyson's Brownian motion model, which is a temporally inhomogeneous diffusion process of noncolliding particles defined on a circle. Using elliptic determinant evaluations related to the reduced affine root system ... More

Coexistence of coiled surfaces and spanning surfaces for knots and linksNov 26 2012It is a well-known procedure for constructing a torus knot or link that first we prepare an unknotted torus and meridian disks in the complementary solid tori of it, and second smooth the intersections of the boundary of meridian disks uniformly. Then ... More

Quantum turbulence: From superfluid helium to atomic Bose-Einstein condensatesJan 29 2009This article reviews recent developments in quantum fluid dynamics and quantum turbulence (QT) for superfluid helium and atomic Bose-Einstein condensates. Quantum turbulence was discovered in superfluid $^4$He in the 1950s, but the field moved in a new ... More

Minuscule Schubert varieties and mirror symmetryJan 31 2013We study the mirror symmetry for smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties using their degenerations to Hibi toric varieties. Listing all these Calabi-Yau 3-folds up to deformation equivalences, we find a new example ... More

Free energy of directed polymers in random environment in $1+1$-dimension at high temperatureNov 15 2016We consider the free energy $F(\beta)$ of the directed polymers in random environment in $1+1$-dimension. It is known that $F(\beta)$ is of order $-\beta^4$ as $\beta\to 0$. In this paper, we will prove that under a certain condition of the potential, ... More

An estimation of the effective number of electrons contributing to the coordinate measurement with a TPC IIApr 03 2013Jan 31 2016For time projection chambers (TPCs) the accuracy in measurement of the track coordinates along the pad-row direction deteriorates with the drift distance (z): Resolution**2 = D**2 * z / N_eff, where D is the diffusion constant and N_eff is the effective ... More

Electric Dipole Moment of Magnetic MonopoleDec 26 2006Mar 07 2007The electric dipole moment of magnetic monopoles with spin is studied in the N=2 supersymmetric gauge theory. The dipole moments of the electric charge distributions, as well as the dipole moments due to the magnetic currents, are calculated. The contribution ... More

Rigid Singularity Theorem in Globally Hyperbolic SpacetimesAug 21 1998We show the rigid singularity theorem, that is, a globally hyperbolic spacetime satisfying the strong energy condition and containing past trapped sets, either is timelike geodesically incomplete or splits isometrically as space $\times$ time. This result ... More

A Beam Test of Prototype TPCs using Micro-Pattern Gas Detectors at KEKMar 14 2019We conducted a series of beam tests of prototype TPCs for the International Linear Collider (ILC) experiment, equipped with an MWPC, a MicroMEGAS, or GEMs as a readout device. The prototype operated successfully in a test beam at KEK under an axial magnetic ... More

Monodromy of the Gauss-Manin connection for deformation by group cocyclesJul 28 2012Mar 02 2017We consider the 2-cocycle deformation of algebras graded by discrete groups. The action of the Maurer-Cartan form on cyclic cohomology is shown to be cohomologous to the cup product action of the group cocycle. This allows us to compute the monodromy ... More

Gorenstein polytopes obtained from bipartite graphsMar 07 2008Mar 11 2008Beck et. al. characterized the grid graphs whose perfect matching polytopes are Gorenstein and they also showed that for some parameters, perfect matching polytopes of torus graphs are Gorenstein. In this paper, we complement their result, that is, we ... More

Connes-Landi Deformation of Spectral TriplesJun 23 2010We describe a way to deform spectral triples with a 2-torus action and a real deformation parameter, motivated by deformation of manifolds after Connes-Landi. Such deformations are shown to have naturally isomorphic $K$-theoretic invariants independent ... More

Durfee-type inequality for hypersurface surface singularitiesApr 28 2017May 14 2018We prove a "strong" Durfee-type inequality for isolated hypersurface surface singularities, which implies Durfee's strong conjecture for such singularities with non-negative topological Euler number of the exceptional set of the minimal resolution.

Strange examples of local signatures for fibered surfaces of small genusApr 28 2017We give examples of local signatures, completely different from the usual ones, for general fibrations of genus $2$ and genus $3$.

Slopes of Fibered Surfaces with a Finite Cyclic AutomorphismApr 16 2015Apr 17 2016We study slopes of finite cyclic covering fibrations of a fibered surface. We give the best possible lower bound of the slope of these fibrations. We also give the slope equality of finite cyclic covering fibrations of a ruled surface and observe the ... More