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Ubiquitous Talker: Spoken Language Interaction with Real World ObjectsMay 23 1995Augmented reality is a research area that tries to embody an electronic information space within the real world, through computational devices. A crucial issue within this area, is the recognition of real world objects or situations. In natural language ... More

wavEMS: Improving Signal Variation Freedom of Electrical Muscle StimulationFeb 08 2019There has been a long history in electrical muscle stimulation (EMS), which has been used for medical and interaction purposes. Human-computer interaction (HCI) researchers are now working on various applications, including virtual reality (VR), notification, ... More

Post-Data Augmentation to Improve Deep Pose Estimation of Extreme and Wild MotionsFeb 12 2019Contributions of recent deep-neural-network (DNN) based techniques have been playing a significant role in human-computer interaction (HCI) and user interface (UI) domains. One of the commonly used DNNs is human pose estimation. This kind of technique ... More

Fairy Lights in Femtoseconds: Aerial and Volumetric Graphics Rendered by Focused Femtosecond Laser Combined with Computational Holographic FieldsJun 22 2015We present a method of rendering aerial and volumetric graphics using femtosecond lasers. A high-intensity laser excites a physical matter to emit light at an arbitrary 3D position. Popular applications can then be explored especially since plasma induced ... More

Ishikawa iteration process on CAT(K) spacesMar 26 2013In this paper, we establish $\Delta$-convergence results for Ishikawa iterations in complete CAT(K) spaces.

Duality in interacting particle systems and boson representationSep 29 2009Dec 10 2009In the context of Markov processes, we show a new scheme to derive dual processes and a duality function based on a boson representation. This scheme is applicable to a case in which a generator is expressed by boson creation and annihilation operators. ... More

Algebraic probability, classical stochastic processes, and counting statisticsOct 25 2012We study a connection between the algebraic probability and classical stochastic processes described by master equations. Introducing a definition of a state which has not been used for quantum cases, the classical stochastic processes can be reformulated ... More

Counting statistics for genetic switches based on effective interaction approximationSep 11 2012Applicability of counting statistics for a system with an infinite number of states is investigated. The counting statistics has been studied a lot for a system with a finite number of states. While it is possible to use the scheme in order to count specific ... More

Note on Nonlinear Schrödinger Equation, KdV Equation and 2D Topological Yang-Mills-Higgs TheoryNov 14 2016In this paper we discuss the relation between the (1+1)D nonlinear Schr\"odinger equation and the KdV equation. By applying the boson/vortex duality, we can map the classical nonlinear Schr\"odinger equation into the classical KdV equation in the small ... More

The Ground State Energy of Dilute Bose Gas in Potentials with Positive Scattering LengthAug 29 2008The leading term of the ground state energy/particle of a dilute gas of bosons with mass $m$ in the thermodynamic limit is $2\pi \hbar^2 a \rho/m$ when the density of the gas is $\rho$, the interaction potential is non-negative and the scattering length ... More

Regularity in the two-phase free boundary problems under non-standard growth conditionsSep 23 2018In this paper, we prove several regularity results for the heterogeneous, two-phase free boundary problems $\mathcal {J}_{\gamma}(u)=\int_{\Omega}\big(f(x,\nabla u)+\lambda_{+} (u^{+})^{\gamma}+\lambda_{-}(u^{-})^{\gamma}+gu\big)\text{d}x\rightarrow \text{min}$ ... More

Parameter estimation of qubit states with unknown phase parameterNov 15 2014Feb 24 2015We discuss a problem of parameter estimation for quantum two-level system, qubit system, in presence of unknown phase parameter. We analyze trade-off relations for mean-square errors when estimating relevant parameters with separable measurements based ... More

2MASS photometry and age estimate of globular clusters in the outer halo of M31Nov 11 2011We present the first photometric results in J, H, and K_s from 2MASS imaging of 10 classical globular clusters in the far outer regions of M31. Combined with the V and I photometric data from previous literature, we constructed the color-color diagram ... More

Colour Dependence of the Distribution of IRAS Galaxies revealed by Multifractal MeasuresApr 11 2006Jul 04 2006Multifractal measures are applied to three IRAS galaxy subsamples selected by colour from the PSCz catalogue. As shown by generalised dimension spectrum, hot IRAS galaxies are found less clustered than cold galaxies, but the difference is very weak. An ... More

p-cyclic persistent homology and Hofer distanceMay 24 2016In this paper, we generalize the result from L. Polterovich and E. Shelukhin's paper stating that Hofer distance from time-dependent Hamiltonian diffeomorphism to the set of p-th power Hamiltonian diffeomorphism can be arbitrarily large to hold in the ... More

Maximal abelian subgroups of compact simple Lie groups of type EMar 11 2014We classify closed abelian subgroups of a compact simple Lie group of adjoint type and of type E having centralizer of the same dimension as the dimension of the subgroup and describe Weyl groups of maximal abelian subgroups.

Optimizations with Reconfigurable Intelligent Surfaces (RISs) in 6G Wireless Networks: Power Control, Quality of Service, Max-Min Fair Beamforming for Unicast, Broadcast, and Multicast with Multi-antenna Mobile Users and Multiple RISsAug 11 2019Reconfigurable intelligent surfaces (RISs) have received much attention recently and are envisioned to promote 6G communication networks. In this paper, for wireless communication aided by RIS units, we formulate optimization problems for power control ... More

$p$-adic Mahler measure and $\mathbb{Z}$-covers of linksFeb 13 2017Mar 20 2018Let $p$ be a prime number. We develop a theory of $p$-adic Mahler measure of polynomials and apply it to the study of $\mathbb{Z}$-covers of rational homology 3-spheres branched over links. We obtain a $p$-adic analogue of the asymptotic formula of the ... More

(-2,3,7)-pretzel knot and Reebless foliationMar 26 2003If p/q > 18, p is odd, and $p/q \ne 37/2$, (p,q)-Dehn surgery for the (-2,3,7)-pretzel knot produces a 3-manifold without Reebless foliation.

Fibered Cusp b-Pseudodifferential Operators and its ApplicationsJul 12 2019Let $X$ be a smooth compact manifold with corners which has two embedded boundary hypersurfaces $\partial_0 X , \partial_1 X$, and a fiber bundle $\phi:\partial_0 X \to Y$ is given. By using the method of blowing up, we define a pseudodifferential culculus ... More

Categories of operators and actions of group operadsJul 05 2018We propose a new model for multicategories with symmetries with respect to Zhang's group operads. The fully faithful embedding of the category of group operads into that of crossed interval groups is made use of, and it is shown that every multicategory ... More

Association schemes and HypergroupsJul 18 2016Apr 21 2017In this paper, we investigate hypergroups which arise from association schemes in a canonical way; this class of hypergroups is called realizable. We first study basic algebraic properties of realizable hypergroups. Then we prove that two interesting ... More

Weighted partition of a compact metrizable space, its hyperbolicity and Ahlfors regular conformal dimensionJun 18 2018Nov 19 2018Successive divisions of compact metric spaces appear in many different areas of mathematics such as the construction of self-similar sets, Markov partitions associated with hyperbolic dynamical systems, dyadic cubes associated with a doubling metric space. ... More

On a generalization of Dipper--James--Murphy's ConjectureFeb 14 2009Jan 16 2010Let $K$ be a field and $q\in K^{\times}$. Let $e$ be the multiplicative order of $q$; or 0 if $q$ is not a root of unity. Let $\bQ:=(q^{v_1},...,q^{v_r})$. Let ${K}_r(n)$ be the set of Kleshchev $r$-multipartitions with respect to $(e;\bQ)$. In this paper, ... More

Acceptable compact Lie groupsJun 17 2018Jul 31 2018This paper contributes to the goal of classifying acceptable groups. We show that for a connected compact semisimple Lie group to be acceptable it is necessary and sufficient that it is isomorphic to a direct product of the groups $SU(n)$, $Sp(n)$, $SO(2n+1)$, ... More

Twisted root system of a (*)-subgroupMay 16 2018Jul 20 2018We classify (*)-subgroups of compact Lie groups of adjoint type, and associate a twisted root system to every (*)-subgroup. We study the structure of twisted root system in several aspects: properties of the small Weyl group W_{small} and its normal subgroups ... More

Sparse Range-constrained Learning and Its Application for Medical Image GradingJul 11 2018Sparse learning has been shown to be effective in solving many real-world problems. Finding sparse representations is a fundamentally important topic in many fields of science including signal processing, computer vision, genome study and medical imaging. ... More

Zero dimensional Donaldson-Thomas invariants of threefoldsApr 23 2006Mar 03 2009Using a homotopy approach, we prove in this paper a conjecture of Maulik, Nekrasov, Okounkov and Pandharipande on the dimension zero Donaldson-Thomas invariants of all smooth complex threefolds.

The first two Betti numbers of the moduli spaces of vector bundles on surfacesApr 16 1995We determined the first two Betti numbers of the moduli of rank two stable sheaves on an arbitrary algebraic surface

Continuous Optimization of Adaptive Quadtree StructuresDec 12 2017May 22 2018We present a novel continuous optimization method to the discrete problem of quadtree optimization. The optimization aims at achieving a quadtree structure with the highest mechanical stiffness, where the edges in the quadtree are interpreted as structural ... More

Probing light-quark Yukawa couplings via hadronic event shapes at lepton collidersAug 05 2016Jan 11 2018We propose a novel idea for probing the Higgs boson couplings through the measurement of hadronic event shape distributions in the decay of the Higgs boson at lepton colliders. The method provides a unique test of the Higgs boson couplings and of QCD ... More

Differentiating the production mechanisms of the Higgs-like resonance using inclusive observables at hadron collidersAug 25 2013Feb 20 2014We present a study on differentiating direct production mechanisms of the newly discovered Higgs-like boson at the LHC based on several inclusive observables. The ratios introduced reveal the parton constituents or initial state radiations involved in ... More

Higgs boson decay into four bottom quarks in the SM and beyondMay 13 2019May 17 2019We present predictions for the Higgs boson decay into four bottom quarks in the standard model and via light exotic scalars retaining full bottom-quark mass dependence. In the SM the decay can be induced either by the Yukawa couplings of bottom quarks ... More

A smoothed dissipative particle dynamics methodology for wall-bounded domainsAug 01 2017This work presents the mathematical and computational aspects of a smooth dissipative particle dynamics with dynamic virtual particle allocation method (SDPD-DV) for modeling and simulation of mesoscopic fluids in wall-bounded domains. The SDPD-DV method ... More

A Projective Representations of the Thompson Group F and Its Lifting ProblemDec 04 2018Dec 05 2018The Thompson group $F$ has a canonical unitary representation on $H=L^2[0,1]$. With a special projection, we construct a projective unitary representation on a Fermionic Fock space associated with $H$. This comes from the representation of the CAR algebra ... More

From colored Jones invariants to logarithmic invariantsJun 05 2014Mar 16 2015In this work, we give a formula for the logarithmic invariant of knots in terms of certain derivatives of the colored Jones invariant. This invariant is related to the logarithmic conformal field theory, and was defined by using the centers in the radical ... More

On the decomposition numbers of the Hecke algebra of type $D_n$ when $n$ is evenSep 09 2008Dec 17 2008Let $n\geq 4$ be an even integer. Let $K$ be a field with $\cha K\neq 2$ and $q$ an invertible element in $K$ such that $\prod_{i=1}^{n-1}(1+q^i)\neq 0$. In this paper, we study the decomposition numbers over $K$ of the Iwahori--Hecke algebra $\HH_q(D_n)$ ... More

On the Iwasawa invariants for links and Kida's formulaMay 29 2016Aug 12 2016Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M.~Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida's formula on $\lambda$-invariants in ... More

Learning to imitate stochastic time series in a compositional way by chaosMay 13 2008This study shows that a mixture of RNN experts model can acquire the ability to generate sequences combining multiple primitive patterns by means of self-organizing chaos. By training of the model, each expert learns a primitive sequence pattern, and ... More

A model for learning to segment temporal sequences, utilizing a mixture of RNN experts together with adaptive varianceJun 09 2007Jun 17 2008This paper proposes a novel learning method for a mixture of recurrent neural network (RNN) experts model, which can acquire the ability to generate desired sequences by dynamically switching between experts. Our method is based on maximum likelihood ... More

Chaotic itinerancy and power-law residence time distribution in stochastic dynamical systemOct 15 2004Feb 23 2005To study a chaotic itinerant motion among varieties of ordered states, we propose a stochastic model based on the mechanism of chaotic itinerancy. The model consists of a random walk on a half-line, and a Markov chain with a transition probability matrix. ... More

Mullineux involution and twisted affine Lie algebrasDec 05 2005Apr 02 2006We use Naito-Sagaki's work [S. Naito & D. Sagaki, J. Algebra 245 (2001) 395--412, J. Algebra 251 (2002) 461--474] on Lakshmibai-Seshadri paths fixed by diagram automorphisms to study the partitions fixed by Mullineux involution. We characterize the set ... More

Branching rules for Hecke Algebras of Type $D_{n}$Dec 09 2005In this paper we study the branching problems for Hecke algebra $\H(D_n)$ of type $D_n$. We explicitly describe the decompositions of the socle of the restriction of each irreducible $\H(D_n)$-representation to $\H(D_{n-1})$ into irreducible modules by ... More

A general method to construct cube-like categories and applications to homotopy theoryFeb 26 2015In this paper, we introduce a method to construct new categories which look like "cubes", and discuss model structures on the presheaf categories over them. First, we introduce a notion of thin-powered structure on small categories, which provides a generalized ... More

Extended duality relations between birth-death processes and partial differential equationsApr 15 2013Sep 03 2013Duality relations between continuous-state and discrete-state stochastic processes with continuous-time have already been studied and used in various research fields. We propose extended duality relations, which enable us to derive discrete-state stochastic ... More

On dualities for SSEP and ASEP with open boundary conditionsJun 17 2016Duality relations for simple exclusion processes with general open boundaries are discussed. It is shown that a combination of spin operators and bosonic operators enables us to have an unified discussion for the duality relations with the open boundaries. ... More

Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series dataJul 04 2011Dec 12 2011A scheme is developed for estimating state-dependent drift and diffusion coefficients in a stochastic differential equation from time-series data. The scheme does not require to specify parametric forms for the drift and diffusion coefficients in advance. ... More

Superspace Formulation of N=4 Super Yang-Mills Theory with a Central ChargeDec 19 2005A superspace formulation using superconnections and supercurvatures is specifically constructed for N=4 extended super Yang-Mills theory with a central charge in four dimensions, first proposed by Sohnius, Stelle and West long ago. We find that the constraints, ... More

A phenomenology for multiple phases in the heavy fermion skutterudite superconductor PrOs4Sb12Dec 04 2002Apr 15 2003The two superconducting phases recently discovered in skutterudite PrOs4Sb12 are discussed by using the phenomenological Ginzburg-Landau theory in the cubic (tetrahedral) crystal symmetry T_h. Building on experimental imput coming from the recent thermal ... More

A new family of efficient conforming mixed finite elements on both rectangular and cuboid meshes for linear elasticity in the symmetric formulationNov 19 2013Jan 21 2015A new family of mixed finite elements is proposed for solving the classical Hellinger-Reissner mixed problem of the elasticity equations. For two dimensions, the normal stress of the matrix-valued stress field is approximated by an enriched Brezzi-Douglas-Fortin-Marini ... More

Valuations of SemiringsMar 04 2015We develop a notion of valuations on a semiring. In particular, we classify valuations on the semifield $\mathbb{Q}_{max}$ and also valuations on the (suitably defined) `function field' $\mathbb{Q}_{max}(T)$ which are trivial on $\mathbb{Q}_{max}$. As ... More

The Dynamic Range of LZNov 01 2015Dec 31 2015The electronics of the LZ experiment, the 7-tonne dark matter detector to be installed at the Sanford Underground Research Facility (SURF), is designed to permit studies of physics where the energies deposited range from 1 keV of nuclear-recoil energy ... More

Inverse-Consistent Deep Networks for Unsupervised Deformable Image RegistrationSep 10 2018Deformable image registration is a fundamental task in medical image analysis, aiming to establish a dense and non-linear correspondence between a pair of images. Previous deep-learning studies usually employ supervised neural networks to directly learn ... More

Limits and colimits of crossed groupsFeb 19 2018Although the notion of crossed groups was originally introduced only in the simplicial case, the definition makes sense in the other categories. For instance, Batanin and Markl studied crossed interval groups to investigate symmetries on the Hochschild ... More

Classification and characterization of quantum parametric models in quantum estimation theoryJul 18 2018In this paper, we characterize quantum parametric models into different classes based on the estimation error bound, known as the Holevo bound. These classes are given by the classical, quasi-classical, D-invariant, and asymptotically classical models. ... More

Explicit formula for the Holevo bound for two-parameter qubit estimation problemMay 24 2015Mar 28 2016The main contribution of this paper is to derive an explicit expression for the fundamental precision bound, the Holevo bound, for estimating any two-parameter family of qubit mixed-states in terms of quantum versions of Fisher information. The obtained ... More

Critical Velocities for Energy Dissipation from Periodic Motions of Impurity in Bose-Einstein CondensatesMay 18 2006A phenomenon of energy dissipation in Bose-Einstein condensates is studied based on a microscopic model for the motion of impurity. Critical velocities for onset of energy dissipation are obtained for periodic motions, such as a dipole-like oscillation ... More

Effective mass anomalies in strained Si thin films and crystalsJan 16 2007Effective mass anomalies due to the geometrical effects are investigated in silicon nanostructures using first-principles calculations for the first time. In \{111\} and \{110\} biaxially strained Si, it is found that longitudinal effective mass is extraordinarily ... More

Successive-Cancellation Decoding of Linear Source CodeMar 28 2019Apr 10 2019This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding, and 3) stochastic ... More

Free Energies of Dilute Bose gases: upper boundJun 07 2009Dec 19 2010We derive a upper bound on the free energy of a Bose gas system at density $\rho$ and temperature $T$. In combination with the lower bound derived previously by Seiringer \cite{RS1}, our result proves that in the low density limit, i.e., when $a^3\rho\ll ... More

Submodular Mini-Batch Training in Generative Moment Matching NetworksJul 18 2017Aug 03 2017This article was withdrawn because (1) it was uploaded without the co-authors' knowledge or consent, and (2) there are allegations of plagiarism.

Structural Parameters for 10 Halo Globular Clusters in M33Mar 09 2015In this paper, we present the properties of 10 halo globular clusters with luminosities $L\simeq 5-7\times 10^5{L_\odot}$ in the Local Group galaxy M33 using the images of {\it Hubble Space Telescope} Wide Field Planetary Camera 2 in the F555W and F814W ... More

Maximal abelian subgroups of compact matrix groupsMar 11 2014We classify closed abelian subgroups of the automorphism group of any compact classical simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup, and describe Weyl groups of maximal abelian subgroups.

Maximal abelian subgroups of compact simple Lie groupsOct 31 2012We classify abelian subgroups of the automorphism group of any compact simple Lie algebra whose centralizer has the same dimension as the dimension of the subgroup. This leads to a classification of the maximal abelian subgroups of compact simple groups ... More

A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci CurvatureJun 07 2004Dec 08 2004We give a new estimate on the lower bound for the first Dirichlet eigenvalue for a compact manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature. The result improves the previous estimates.

Subsonic Flows for the Full Euler Equations in Half PlaneOct 19 2007We study the subsonic flows governed by full Euler equations in the half plane bounded below by a piecewise smooth curve asymptotically approaching x1-axis. Nonconstant conditions in the far field are prescribed to ensure the real Euler flows. The Euler ... More

Reconstruction of inflation model from tensor-to-scalar ratioApr 08 2019We reconstruct the potential of minimally coupling inflation model which produces small value of the tensor-scalar ratio. In these inflation models, tensor-scalar ratio is proportional to 1/N^2 scalar spectral index is in good agreement with recent cosmological ... More

Human Factors in Agile Software DevelopmentFeb 14 2015Through our four years experiments on students' Scrum based agile software development (ASD) process, we have gained deep understanding into the human factors of agile methodology. We designed an agile project management tool - the HASE collaboration ... More

Estimates on the Lower Bound of the First GapApr 22 2004Jan 04 2005We give a new lower bound for the first gap $\lambda_2 - \lambda_1$ of the Dirichlet eigenvalues of the Schr{\"o}dinger operator on a bounded convex domain $\Omega$ in R$^n$ or S$^n$ and greatly sharpens the previous estimates. The new bound is explicit ... More

Modern SetJun 18 2008In this paper, we intend to generalize the classical set theory as much as possible. we will do this by freeing sets from the regular properties of classical sets; e.g., the law of excluded middle, the law of non-contradiction, the distributive law, the ... More

A Comparison Theorem and A Sharp Bound via the Ricci FlowOct 13 2007Dec 15 2009We prove a comparison theorem for the compact surfaces with negative Euler characteristic via the Ricci flow.

Maximal antipodal sets in irreducible compact symmetric spacesMar 16 2018Jul 20 2018We give a method of classifying maximal antipodal sets of compact symmetric spaces. We show that any irreducible compact symmetric space is either a compact simple Lie group, or is of the form M=G/G^{\theta} for G a connected compact simple Lie group ... More

Multi-agent Reinforcement Learning Embedded Game for the Optimization of Building Energy Control and Power System PlanningJan 17 2019Most of the current game-theoretic demand-side management methods focus primarily on the scheduling of home appliances, and the related numerical experiments are analyzed under various scenarios to achieve the corresponding Nash-equilibrium (NE) and optimal ... More

A Degeneration formula of GW-invariantsOct 10 2001This is the second part of the paper "A degeneration of stable morphisms and relative stable morphisms", (math.AG/0009097). In this paper, we constructed the relative Gromov-Witten invariants of a pair of a smooth variety and a smooth divisor. We then ... More

Generalized Kashaev invariants for knots in three manifoldsDec 02 2013Dec 15 2013Kashaev's invariants for a knot in a three sphere are generalized to invariants of a knot in a three manifold. A relation between the newly constructed invariants and the hyperbolic volume of the knot complement is observed for some knots in lens spaces. ... More

Massive charged-current coefficient functions in deep-inelastic scattering at NNLO and impact on strange-quark distributionsOct 11 2017Mar 24 2018We present details on calculation of next-to-next-to-leading order QCD corrections to massive charged-current coefficient functions in deep-inelastic scattering. Especially we focus on the application to charm-quark production in neutrino scattering on ... More

BMW algebra, quantized coordinate algebra and type C Schur--Weyl dualityAug 22 2007Nov 17 2009We prove an integral version of the Schur--Weyl duality between the specialized Birman--Murakami--Wenzl algebra $B_n(-q^{2m+1},q)$ and the quantum algebra associated to the symplectic Lie algebra sp_{2m}. In particular, we deduce that this Schur--Weyl ... More

Random discretization of O'Hara knot energyMay 16 2019We considered random discrete approximation of O'Hara energy. O'Hara energy is the energy defined for a knot, and O'Hara energy was introduced for defining the standard shape for each knot class (equivalence class by ambient isotopy) by variational method. ... More

Power-law behavior and condensation phenomena in disordered urn modelsJun 07 2006Feb 27 2008We investigate equilibrium statistical properties of urn models with disorder. Two urn models are proposed; one belongs to the Ehrenfest class, and the other corresponds to the Monkey class. These models are introduced from the view point of the power-law ... More

Cross-modal subspace learning with Kernel correlation maximization and Discriminative structure preservingMar 26 2019The measure between heterogeneous data is still an open problem. Many research works have been developed to learn a common subspace where the similarity between different modalities can be calculated. However, most of existing works focus on learning ... More

Two ultracold atoms in a completely anisotropic trapMar 10 2008As a limiting case of ultracold atoms trapped in deep optical lattices, we consider two interacting atoms trapped in a general anisotropic harmonic oscillator potential, and obtain exact solutions of the Schrodinger equation for this system. The energy ... More

Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order caseSep 27 2014Apr 14 2015The design of mixed finite element methods in linear elasticity with symmetric stress approximations has been a longstanding open problem until Arnold and Winther designed the first family of mixed finite elements where the discrete stress space is the ... More

Intrinsic and extrinsic origins of the polar Kerr effect in a chiral p-wave superconductorJul 29 2008Apr 30 2010Recently, the measurement of the polar Kerr effect (PKE) in the quasi two-dimensional superconductor Sr2RuO4, which is motivated to observe the chirality of px + i py-wave pairing, has been reported. We clarify that the PKE has intrinsic and extrinsic ... More

Localization of Supersymmetric Chern-Simons-Matter Theory on a Squashed $S^3$ with $SU(2)\times U(1)$ IsometrySep 12 2013Jul 30 2014Localization of supersymmetric $\mathcal{N}=2$ Chern-Simons-Matter theory on a squashed $S^3$ with $SU(2)\times U(1)$ isometry has been studied by different groups of authors. In this paper, we localize the theory on a squashed $S^3$ with $SU(2)\times ... More

Association schemes and HypergroupsJul 18 2016We study a certain class of hypergroups (realizable hypergroups) which can be canonically obtained from association schemes. This paper consists of three parts. In the first part, we study algebraic aspects of realizable hypergroups. In the second part, ... More

Specific viscosity of neutron-rich nuclear matter from a relaxation time approachOct 02 2011Dec 05 2011The specific viscosity of neutron-rich nuclear matter is studied from the relaxation time approach using an isospin- and momentum-dependent interaction and the nucleon-nucleon cross sections taken as those from the experimental data modified by the in-medium ... More

Probing light-quark Yukawa couplings via hadronic event shapes at lepton collidersAug 05 2016We propose a novel idea for probing the Higgs boson couplings through the measurement of hadronic event shape distributions in the decay of the Higgs boson at lepton colliders. The method provides a unique test of the Higgs boson couplings and of QCD ... More

Two decay paths for calculation of nuclear matrix element of neutrinoless double-beta decay using quasiparticle random-phase approximationDec 24 2015It is possible to employ virtual decay paths, including two-particle transfer, to calculate the nuclear matrix element of neutrinoless double-beta decay under the closure approximation, in addition to the true double-beta path. In the quasiparticle random-phase ... More

Understanding spin parities of $P_c(4450)$ and $Y(4274)$ in hadronic molecular state pictureJul 12 2016Sep 05 2016The hidden-charmed pentaquark $P_c(4450)$ and the charmonium-like state $Y(4274)$ are investigated as a $\bar{D}^*\Sigma_c$ and a $D_s\bar{D}_{s0}(2317)$ molecular state, respectively. The spin parities of these two states can not be well understood if ... More

Approximation scheme based on effective interactions for stochastic gene regulationSep 16 2010Since gene regulatory systems contain sometimes only a small number of molecules, these systems are not described well by macroscopic rate equations; a master equation approach is needed for such cases. We develop an approximation scheme for dealing with ... More

The stochastic pump current and the non-adiabatic geometrical phaseDec 04 2007Feb 29 2008We calculate a pump current in a classical two-state stochastic chemical kinetics by means of the non-adiabatic geometrical phase interpretation. The two-state system is attached to two particle reservoirs, and under a periodic perturbation of the kinetic ... More

A field theoretic approach to master equations and a variational method beyond the Poisson ansatzAug 28 2007Sep 20 2007We develop a variational scheme in a field theoretic approach to a stochastic process. While various stochastic processes can be expressed using master equations, in general it is difficult to solve the master equations exactly, and it is also hard to ... More

$\bar{D}Σ^*_c$ and $\bar{D}^*Σ_c$ interactions and LHCb pentaquarksNov 22 2016Recently, LHCb collaboration reported the observation of two hidden-charmed resonances $P_c(4380)$ and $P_c(4450)$ consistent with hidden-charmed pentaquarks. We perform a dynamical investigation about the $\bar{D}\Sigma_c^*(2520)$ and $\bar{D}^*\Sigma_c(2455)$ ... More

Symplectic structure perturbations and continuity of symplectic invariantsOct 03 2016This paper studies how some symplectic invariants which are born from Hamiltonian Floer theory (e.g. spectral invariant, boundary depth, (partial) symplectic quasi-state) change with respect to symplectic structure perturbations, i.e., new symplectic ... More

Monodromies of Algebraic Connections on the Trivial BundleJun 25 2000In this note, we study monodromies of algebraic connections on the trivial vector bundle. We prove that on a smooth complex affine curve, any monodromy arises as the underlying local system of an algebraic connection on the trivial bundle. We give a generalization ... More

Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approachMar 28 2019Very recently, the LHCb Collaboration reported their new results about the pentaquarks at charmed energy region. Based on the new experimental results, we recalculate the molecular states composed of a $\Sigma_c^{(*)}$ baryon and a $\bar{D}^{(*)}$ meson. ... More

A Function obstruction to the Existence of Complex StructuresJan 05 2019We construct a function for almost-complex Riemannian manifolds. Non-vanishing of the function for the almost-complex structure implies the almost-complex structure is not integrable. Therefore the constructed function is an obstruction for the existence ... More

Chebotarev link is stably genericFeb 19 2019We discuss the relationship between two analogues in a 3-manifold of the set of prime ideals in a number field. We prove that if $(K_i)_{i\in \mathbb{N}_{>0}}$ is a sequence of knots obeying the Chebotarev law in the sense of Mazur and McMullen, then ... More

Successive-Cancellation Decoding of Linear Source CodeMar 28 2019This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding, and 3) stochastic ... More

Hyperprior on symmetric Dirichlet distributionAug 28 2017In this article we introduce how to put vague hyperprior on Dirichlet distribution, and we update the parameter of it by adaptive rejection sampling (ARS). Finally we analyze this hyperprior in an over-fitted mixture model by some synthetic experiments. ... More