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Journal Name Extraction from Japanese Scientific News ArticlesJun 11 2019In Japanese scientific news articles, although the research results are described clearly, the article's sources tend to be uncited. This makes it difficult for readers to know the details of the research. In this paper, we address the task of extracting ... More

Enhancement of the Transition Magnetic Moments of a Neutrino by Degenerate ElectronsOct 18 1995The one-loop induced magnetic dipole moments of a neutrino are examined in a background of degenerate electrons in the standard model. For the nonrelativistic neutrino, they are enhanced by a factor \( (8\pF/3\mnu) \), where \pF\ is the electron Fermi ... More

Spin Connections for Nonrelativistic Electrons on Curves and SurfacesApr 27 2018May 24 2018We propose a basic theory of nonrelativistic spinful electrons on curves and surfaces. In particular, we discuss the presence and effects of spin connections, which describe how spinors and vectors couple to the geometry of curves and surfaces. We derive ... More

Symmetries in the third Painlevé equation arising from the modified Pohlmeyer-Lund-Regge hierarchyMar 31 2011We propose a modification of the AKNS hierarchy that includes the "modified" Pohlmeyer-Lund-Regge (mPLR) equation. Similarity reductions of this hierarchy give the second, third, and fourth Painlev\'e equations. Especially, we present a new Lax representation ... More

A solution to the mu problem in the supersymmetric unparticle physicsDec 24 2008Dec 25 2008Recently, conceptually new physics beyond the Standard Model has been proposed by Georgi, where a new physics sector becomes conformal and provides "unparticle" which couples to the Standard Model sector through higher dimensional operators in low energy ... More

CFTs on curved spacesFeb 19 2019Apr 23 2019We study conformal field theories (CFTs) on curved spaces including both orientable and unorientable manifolds possibly with boundaries. We first review conformal transformations on curved manifolds. We then compute the identity components of conformal ... More

A proposal to first principles electronic structure calculation: Symbolic-Numeric methodSep 23 2012Feb 25 2013This study proposes an approach toward the first principles electronic structure calculation with the aid of symbolic-numeric solving. The symbolic computation enables us to express the Hartree-Fock-Roothaan equation and the molecular integrals in analytic ... More

CFTs on curved spacesFeb 19 2019We study conformal field theories (CFTs) on curved spaces including both orientable and unorientable manifolds possibly with boundaries. We first review conformal transformations on curved manifolds. We then compute the identity components of conformal ... More

A solution to the little hierarchy problem in a partly N=2 extension of the MSSMDec 13 2008We extend a model of the Dirac gauginos, which originate from N=2 supersymmetry (SUSY) for the gauge sector, such that the N=2 SUSY is imposed also to the sfermion sector but only for the 3rd generation squarks and sleptons. In addition to the N=2 supersymmetry, ... More

Restoration of Lorentz Symmetry for Lifshitz-Type Scalar TheoryNov 25 2011Mar 14 2012The purpose of this paper is to present our study on the restoration of the Lorentz symmetry for a Lifshitz-type scalar theory in the infrared region by using nonperturbative methods. We apply the Wegner-Houghton equation, which is one of the exact renormalization ... More

Exploring extended Higgs sectors by radiative corrections with future precision coupling measurementsJun 22 2015In non-minimal Higgs sectors, coupling constants of the discovered Higgs boson can deviate from the predictions in the Standard Model by effects of additional scalar bosons. The pattern of the deviations in various Higgs boson couplings largely depends ... More

Radiative corrections to the Yukawa couplings in two Higgs doublet modelsJun 09 2014A pattern of deviations in coupling constants of Standard Model (SM)-like Higgs boson from their SM predictions indicates characteristics of an extended Higgs sector. In particular, Yukawa coupling constants can deviate in different patterns in four types ... More

Bosonic Seesaw in the Unparticle PhysicsDec 22 2008Dec 25 2008Recently, conceptually new physics beyond the Standard Model has been proposed by Georgi, where a new physics sector becomes conformal and provides "unparticle" which couples to the Standard Model sector through higher dimensional operators in low energy ... More

Soft Leptogenesis without singletOct 13 2008Feb 22 2009This paper has been withdrawn by the author due to crucial errors.

Leptogenesis in a perturbative SO(10) modelFeb 23 2008Sep 03 2008We consider a phenomenologically viable SO(10) grand unification model which allows perturbative calculations up to the Planck scale or the string scale. We use a set of Higgs superfields {10 + 16bar + 16 + 45}. In this framework, the data fitting of ... More

Using Conservative Estimation for Conditional Probability instead of Ignoring Infrequent CaseSep 25 2017There are several estimators of conditional probability from observed frequencies of features. In this paper, we propose using the lower limit of confidence interval on posterior distribution determined by the observed frequencies to ascertain conditional ... More

Finding Association Rules by Direct Estimation of Likelihood RatiosSep 25 2017In this paper, we propose a cost function that corresponds to the mean square errors between estimated values and true values of conditional probability in a discrete distribution. We then obtain the values that minimize the cost function. This minimization ... More

Confidence Interval of Probability Estimator of Laplace SmoothingSep 25 2017Sometimes, we do not use a maximum likelihood estimator of a probability but it's a smoothed estimator in order to cope with the zero frequency problem. This is often the case when we use the Naive Bayes classifier. Laplace smoothing is a popular choice ... More

Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensorJul 21 2016Oct 10 2016We investigate the static and spherically-symmetric solutions in a class of the generalized Proca theory with the nonminimal coupling to the Einstein tensor. First, we show that the solutions in the scalar-tensor theory with the nonminimal derivative ... More

Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocyclesFeb 12 2015Dec 08 2015We prove that every homomorphism from the elementary Chevalley group over a finitely generated unital commutative ring associated with reduced irreducible classical root system of rank at least 2, and ME analogues of such groups, into acylindrically hyperbolic ... More

de Sitter Thin Brane ModelAug 26 2015Jul 28 2016We discuss the large mass hierarchy problem in a braneworld model which represents our acceleratively expanding universe. The Randall-Sundrum (RS) model with warped one extra dimension added to flat 4-dimensional space-time cannot describe our expanding ... More

Characteristic Matrices and Trellis Reduction for Tail-Biting Convolutional CodesMay 11 2017May 23 2017Basic properties of a characteristic matrix for a tail-biting convolutional code are investigated. A tail-biting convolutional code can be regarded as a linear block code. Since the corresponding scalar generator matrix Gt has a kind of cyclic structure, ... More

Investigation of transition frequencies of two acoustically coupled bubbles using a direct numerical simulation techniqueNov 16 2001Oct 08 2004The theoretical results regarding the ``transition frequencies'' of two acoustically interacting bubbles have been verified numerically. The theory provided by Ida [Phys. Lett. A 297 (2002) 210] predicted the existence of three transition frequencies ... More

Non-Linear Estimation of Convolutionally Encoded SequencesJun 06 2019Suppose that a convolutionally encoded sequence is transmitted symbol by symbol over an AWGN channel using BPSK modulation. In this case, pairs of the signal (i.e., code symbol) and observation are not jointly Gaussian and therefore, a linear estimation ... More

Contact Anosov flows and the FBI transformOct 03 2010Jun 22 2011This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radius of the transfer operators acting on the so-called anisotropic Sobolev space exactly in terms of dynamical exponents. ... More

Bruhat order and graph structures of lower intervals in Coxeter groupsDec 15 2018We show that any lower Bruhat interval in a Coxeter group is a disjoint union of certain two-sided cosets as a consequence of Lifting Property and Subword Property. Furthermore, we describe these details in terms of Bruhat graphs, graded posets, and two-sided ... More

Weighted counting of inversions on alternating sign matricesApr 03 2019Apr 11 2019We extend the author's formula (2011) of weighted counting of inversions on permutations to the one on alternating sign matrices. The proof is based on the sequential construction of alternating sign matrices from the unit matrix recently shown by Brualdi-Schroeder ... More

Enumerative combinatorics on determinants and signed bigrassmannian polynomialsFeb 17 2019As an application of linear algebra for enumerative combinatorics, we introduce two new ideas, signed bigrassmannian polynomials and bigrassmannian determinant. First, a signed bigrassmannian polynomial is a variant of the statistic given by the number ... More

Inequalities on Bruhat graphs, R- and Kazhdan-Lusztig polynomialsNov 19 2012From a combinatorial perspective, we establish three inequalities on coefficients of $R$- and Kazhdan-Lusztig polynomials for crystallographic Coxeter groups: (1) Nonnegativity of $(q-1)$-coefficients of $R$-polynomials, (2) a new criterion of rational ... More

Construction of double coset system of a Coxeter group and its applications to Bruhat graphsJul 26 2019We develop combinatorics of parabolic double cosets in finite Coxeter groups as a follow-up of recent articles by Billey-Konvalinka-Petersen-Slofstra-Tenner and Petersen. (1) We construct a double coset system as a generalization of a two-sided analogue ... More

Simple security proof of quantum key distribution via uncertainty principleMay 14 2005We present an approach to the unconditional security of quantum key distribution protocols based on the uncertainty principle. The approach applies to every case that has been treated via the argument by Shor and Preskill, and relieve them from the constraints ... More

Unconditional security of coherent-state quantum key distribution with strong phase-reference pulseMar 18 2004We prove the unconditional security of a quantum key distribution protocol in which bit values are encoded in the phase of a weak coherent-state pulse relative to a strong reference pulse. In contrast to implementations in which a weak pulse is used as ... More

Seiberg Duality, 5d SCFTs and Nekrasov Partition FunctionsJan 28 2014It is known that a 4d N = 1 SCFT lives on D3-branes probing a local del Pezzo Calabi-Yau singularity. The Seiberg (or toric) duality of this SCFT arises from the Picard-Lefshetz transformation of the affine E_N 7-brane background that is associated with ... More

Unitary Matrix Models and Phase TransitionMay 16 1997Jul 23 1997We study the unitary matrix model with a topological term. We call the topological term the theta term. In the symmetric model there is the phase transition between the strong and weak coupling regime at $\lambda_{c}=2$. If the Wilson term is bigger than ... More

Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equationMay 09 2016Jun 19 2016In this paper, we consider the approximating KPZ equation introduced by Funaki and Quastel [2], which is suitable for studying invariant measures. They showed that the stationary solution of the approximating equation converges to the Cole-Hopf solution ... More

Algebraic Construction of Tail-Biting Trellises for Linear Block CodesDec 09 2015May 25 2017In this paper, we present an algebraic construction of tail-biting trellises. The proposed method is based on the state space expressions, i.e., the state space is the image of the set of information sequences under the associated state matrix. Then combining ... More

Cosmological solutions for model with a $1/H^{2}$ termNov 07 2006Mar 14 2007We drive the cosmological solutions of five-dimensional model with $1/H^{2}$ term $(H^{2}\equiv H_{MNPQ}H^{MNPQ})$, where $H_{MNPQ}$ is 4-form field strength. The behaviors of the scale factors and the scalar potential in effective theory are examined.As ... More

Pseudo Evolution of Galaxy-Cluster Masses and Its Impact on Mass Density ProfileMay 20 2019A mass of galaxy cluster is commonly defined by a spherical over-density (SO) mass with respect to a reference density, whereas the time evolution of SO mass can be affected by redshift evolution of the reference density, as well as physical mass accretion ... More

Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fieldsDec 18 2000This is an introduction to the author theory of cyclic p-extensions of an absolutely unramified complete discrete valuation field K with arbitrary residue field of characteristic p. In this theory a homomorphism is constructed from the p-part of the group ... More

Existence of Crystal Bases for Kirillov-Reshetikhin Modules of Type DOct 28 2006Nov 14 2006We show that a crystal base exists for any Kirillov-Reshetikhin module of type $D_n^{(1)}$, generalizing the result of [(KMN)^2] for the end nodes of the Dynkin diagram of $D_n$.

Global well-posedness of complex Ginzburg-Landau equation with a space-time white noiseApr 14 2017We show the global-in-time well-posedness of the complex Ginzburg-Landau (CGL) equation with a space-time white noise on the 3-dimensional torus. Our method is based on [14], where Mourrat and Weber showed the global well-posedness for the dynamical $\Phi_3^4$ ... More

Constructing families of elliptic curves with prescribed mod 3 representation via Hessian and Cayleyan curvesDec 29 2011Sep 18 2012For a given elliptic curve $E_0$ defined over a number field $k$, we construct two families of elliptic curves whose mod 3 representations are isomorphic to that of $E_0$. The isomorphisms in the first family are symplectic, and those in the second family ... More

A directed graph structure of alternating sign matricesMar 20 2019We introduce a new directed graph structure into the set of alternating sign matrices. This includes Bruhat graph (Bruhat order) of the symmetric groups as a subgraph (subposet). Drake-Gerrish-Skandera (2004, 2006) gave characterizations of Bruhat order ... More

A new refinement of Euler numbers on counting alternating permutationsAug 02 2019In mathematics, we often encounter surprising interactions with two topics from seemingly different areas. At a crossroads of calculus and combinatorics, the generating function of secant and tangent numbers (Euler numbers) provides enumeration of alternating ... More

KPZ Equation and Surface Growth ModelDec 04 1998We consider the ultra-discrete Burgers equation. All variables of the equation are discrete. We classify the equation into five regions in the parameter space. We discuss behavior of solutions. Using this equation we construct the deterministic surface ... More

The Davey Stewartson system and the Bäcklund TransformationsApr 09 1998Apr 14 1998We consider the (coupled) Davey-Stewartson (DS) system and its B\"{a}cklund transformations (BT). Relations among the DS system, the double Kadomtsev-Petviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are established. The DS hierarchy and ... More

Exponential mixing for generic volume-preserving Anosov flows in dimension threeJan 01 2016Oct 25 2016Let $M$ be a closed $3$-dimensional Riemann manifold and let $3\le r\le \infty$. We prove that there exists an open dense subset in the space of $C^r$ volume-preserving Anosov flows on $M$ such that all the flows in it are exponentially mixing.

An Innovations Approach to Viterbi Decoding of Convolutional CodesOct 31 2017Nov 04 2018We introduce the notion of innovations for Viterbi decoding of convolutional codes. First we define a kind of innovation corresponding to the received data, i.e., the input to a Viterbi decoder. Then the structure of a Scarce-State-Transition (SST) Viterbi ... More

Lambert W function and hanging chain revisitedSep 19 2018Jan 18 2019In classical physics, calculating the slack of a hanging chain is a problem that has attracted interest. This study aims to solve this problem through experiment and theory. When the length and distance of both the ends of a hanging chain are given, the ... More

Cosmological constant and curved 5D geometryJun 17 2002We study the value of cosmological constant in de Sitter brane embedded in five dimensions with positive, vanishing and negative bulk cosmological constant. In the case of negative bulk cosmological constant, we show that not zero but tiny four-dimensional ... More

The $μ$-Problem and Seesaw-type Mechanism in the Higgs SectorNov 01 2000Aug 08 2001We explore a new solution to the $\mu$-problem. In the scenario of SUSY-breaking mediation through anti-generation fields, we find that the $B\mu$ term has its origin in a seesaw-type mechanism as well as in a loop diagram through gauge interactions. ... More

An extreme counterexample to the Lubotzky--Weiss conjectureSep 24 2018Apr 25 2019In 1993, Lubotzky and Weiss conjectured that if a compact group admits two finitely generated dense subgroups, one of which is amenable and the other has Kazhdan's property (T), then it would be finite. This conjecture was resolved in the negative by ... More

The Pseudo Evolution of Galaxy-Cluster Masses and Its Connection to Mass Density ProfileMay 20 2019Aug 06 2019A mass of dark matter halo is commonly defined as the spherical over-density (SO) mass with respect to a reference density, whereas the time evolution of an SO mass can be affected by the redshift evolution of the reference density as well as the physical ... More

Physical measures for partially hyperbolic surface endomorphismsJan 22 2003Dec 20 2003We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical ... More

Decay of correlations in suspension semi-flows of angle-multiplying mapsNov 14 2005Apr 25 2007We consider suspension semi-flows of angle-multiplying maps on the circle. Under a $C^r$generic condition on the ceiling function, we show that there exists an anisotropic Sobolev space contained in the $L^2$ space such that the Perron-Frobenius operator ... More

Enumeration of bigrassmannian permutations below a permutation in Bruhat orderMay 18 2010In theory of Coxeter groups, bigrassmannian elements are well known as elements which have precisely one left descent and precisely one right descent. In this article, we prove formulas on enumeration of bigrassmannian permutations weakly below a permutation ... More

A conservative semi-Lagrangian method for oscillation-free computation of advection processesOct 10 2001Nov 20 2001The semi-Lagrangian method using the hybrid-cubic-rational interpolation function [M. Ida, Comput. Fluid Dyn. J. 10 (2001) 159] is modified to a conservative method by incorporating the concept discussed in [R. Tanaka et al., Comput. Phys. Commun. 126 ... More

Similarity and Kirillov-Schilling-Shimozono bijectionApr 10 2015The behavior of the Kirillov-Schilling-Shimozono bijection is examined under the similarity map on Kirillov-Reshetikhin crystals. It enables us to define this bijection over $\mathbb{Q}$. Conjectures on the extension to $\mathbb{R}$ is also presented. ... More

Weighted counting of Bruhat paths by shifted $R$-polynomialsJul 26 2019We revisit $R$-polynomials with introducing the new idea ``shifted $R$-polynomials" (or Bruhat weight) for all Bruhat intervals in finite Coxeter groups. Then, we apply these polynomials to weighted counting of Bruhat paths. Further, we prove a new criterion ... More

DNA toroid condensation as analytic solutionsJan 30 2007It now becomes apparent that condensed DNA toroid which emerges in a poor solvent condition can be realised in the framework of the non-linear sigma model on a line segment. In fact, the classical solutions of the model, i.e., of the bending potential ... More

Emergence of cooperative bistability and robustness of gene regulatory networksJul 28 2019Gene regulatory networks (GRNs) are complex systems in which many genes mutually regulate their expressions for changing the cell state adaptively to the environmental conditions. Besides the functions, the GRNs utilized by living systems possess several ... More

Unparticle Dark MatterNov 09 2007Jun 06 2008Once a parity is introduced in unparticle physics, under which unparticle provided in a hidden conformal sector is odd while all Standard Model particles are even, unparticle can be a suitable candidate for the cold dark matter (CDM) in the present universe ... More

Radiative Breaking Scenario for the GUT gauge symmetryFeb 07 2005Mar 08 2006The origin of the GUT scale from the top down perspective is explored. The GUT gauge symmetry is broken by the renormalization group effects, which is an extension of the radiative electroweak symmetry breaking scenario to the GUT models. That is, in ... More

Affine Lie group approach to a derivative nonlinear Schrödinger equatoin and its similarity reductionMar 01 2004Apr 15 2004The generalized Drinfel'd-Sokolov hierarchies studied by de Groot-Hollowood-Miramontes are extended from the viewpoint of Sato-Wilson dressing method. In the A_1^(1) case, we obtain the hierarchy that include the derivative nonlinear Schr\"odinger equation. ... More

Hungry Volterra equation, multi boson KP hierarchy and Two Matrix ModelsJul 01 1998We consider the hungry Volterra hierarchy from the view point of the multi boson KP hierarchy. We construct the hungry Volterra equation as the B\"{a}cklund transformations (BT) which are not the ordinary ones. We call them ``fractional '' BT. We also ... More

Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability)Jan 31 1997Apr 11 1997We consider the relation between the discrete coupled nonlinear Schr\"{o}dinger equation and Toda equation. Introducing complex times we can show the intergability of the discrete coupled nonlinear Schr\"{o}dinger equation. In the same way we can show ... More

Complementarity, distillable secret key, and distillable entanglementApr 27 2007We consider controllability of two conjugate observables Z and X by two parties with classical communication. The ability is specified by two alternative tasks, (i) agreement on Z and (ii) preparation of an eigenstate of X with use of an extra communication ... More

Security of quantum key distribution with discrete rotational symmetryJul 16 2005We prove the unconditional security of quantum key distribution protocols using attenuated laser pulses with M different linear polarizations. When M=4, the proof covers the so-called SARG04 protocol [V.~Scarani et al., Phys. Rev.\ Lett. {\bf 92}, 057901 ... More

Statistical connection of peak counts to power spectrum and moments in weak lensing fieldOct 04 2016The number density of local maxima of weak lensing field, referred to as weak-lensing peak counts, can be used as a cosmological probe. However, its relevant cosmological information is still unclear. We study the relationship between the peak counts ... More

Scalar potential from de Sitter brane in 5D and effective cosmological constantNov 02 2003Jun 01 2004We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant $\Lambda$. The scalar potential for a scalar field canonically normalized is given by the sum of exponential ... More

On the solutions to accelerating cosmologiesMay 15 2003Jul 22 2003Motivated by recent accelerating cosmological model, we derive the solutions to vacuum Einstein equation in $(d+1)$-dimensional Minkowski space with $n$-dimensional hyperbolic manifold. The conditions of accelerating expansion are given in such a set ... More

Casimir Energies due to Matter Fields in $T^{2}$ and $T^{2}/Z_{2}$ CompactificationsJan 20 2003Jun 18 2003We calculate the Casimir energies due to matter fields with various boundary conditions along two compact directions in $T^{2}$ compactification. We discuss whether the Casimir energies generate attractive or repulsive forces. On the theories with extra ... More

Five-Dimensional Warped Geometry with a Bulk Scalar FieldSep 05 2001Dec 05 2001We explore the diversity of warped metric function in five-dimensional gravity including a scalar field and a 3-brane. We point out that the form of the function is determined by a parameter introduced here. For a particular value of the parameter, the ... More

An improved unified solver for compressible and incompressible fluids involving free surfaces. II. Multi-time-step integration and applicationsMar 26 2002Dec 25 2002An improved numerical solver for the unified solution of compressible and incompressible fluids involving interfaces is proposed. The present method is based on the CIP-CUP (Cubic Interpolated Propagation / Combined, Unified Procedure) method, which is ... More

Eigenfrequencies of two mutually interacting gas bubbles in an acoustic fieldAug 30 2001Apr 25 2002Eigenfrequencies of two mutually interacting gas bubbles in an acoustic field are discussed theoretically and numerically. It is shown by a linear theory that a bubble interacting with a neighboring bubble has three eigenfrequencies that change with the ... More

Invitation to higher local fields, Part I, section 9: Exponential maps and explicit formulasDec 18 2000An exponential homomorphism for a complete discrete valuation field of characteristic zero which relates differential forms and the Milnor K-groups of the field is studied. An application to explicit formulas is included.

The structure of Selmer groups of elliptic curves and modular symbolsJul 09 2014For an elliptic curve over the rational number field and a prime number $p$, we study the structure of the classical Selmer group of $p$-power torsion points. In our previous paper \cite{Ku6}, assuming the main conjecture and the non-degeneracy of the ... More

The error term of the prime orbit theorem for expanding semiflowsFeb 02 2015May 18 2015We consider suspension semiflows of an angle multiplying map on the circle and study the distributions of periods of their periodic orbits. Under generic conditions on the roof function, we give an asymptotic formula on the number $\pi(T)$ of prime periodic ... More

KPZ equation with fractional derivatives of white noiseFeb 15 2016In this paper, we consider the KPZ equation driven by space-time white noise replaced with its fractional derivatives of order $\gamma>0$ in spatial variable. A well-posedness theory for the KPZ equation is established by Hairer [3] as an application ... More

Simplicity and similarity of Kirillov-Reshetikhin crystalsDec 03 2012We show that the Kirillov-Reshetikhin crystal B^{r,s} for nonexceptional affine types is simple and have the similarity property. As a corollary of the first fact we can derive that the tensor product of KR crystals is connected. Variations of the second ... More

Efficient quantum key distribution with practical sources and detectorsSep 23 2006We consider the security of a system of quantum key distribution (QKD) using only practical devices. Currently, attenuated laser pulses are widely used and considered to be the most practical light source. For the receiver of photons, threshold (or on/off) ... More

An alternative proof of Kazhdan property for elementary groupsNov 01 2016In 2010, Invent. Math., Ershov and Jaikin--Zapirain proved Kazhdan's property (T) for elementary groups. This expository article focuses on presenting an alternative simpler proof. Unlike the original one, our proof supplies no estimate of Kazhdan constants. ... More

Unitary Matrix Models with a topological term and discrete time Toda equationNov 22 1996We study the full unitary matrix models. Introducing a new term $l log U$, l plays the role of the discrete time. On the other hand, the full unitary matrix model contains a topological term. In the continuous limit it gives rise to a phase transition ... More

Five-Dimensional Gauge Theories and Whitham-Toda EquationApr 11 1997Jun 17 1997The five-dimensional supersymmetric SU(N) gauge theory is studied in the framework of the relativistic Toda chain. This equation can be embedded in two-dimensional Toda lattice hierarchy. This system has the conjugate structure. This conjugate structure ... More

Unitary Matrix Models and Painlevé IIISep 27 1996Nov 14 1996We discussed the full unitary matrix models from the view points of integrable equations and string equations. Coupling the Toda equations and the string equations, we derive a special case of the Painlev\'{e} III equation. From the Virasoro constrains, ... More

On Quasi-homomorphisms and Commutators in the Special Linear Group over a Euclidean RingNov 06 2009Feb 16 2010We prove that for any euclidean ring R and n at least 6, Gamma=SL_n(R) has no unbounded quasi-homomorphisms. From Bavard's duality theorem, this means that the stable commutator length vanishes on Gamma. The result is particularly interesting for R = ... More

Holographic dark energy model with non-minimal couplingMay 31 2004Aug 02 2005We find that holographic dark energy model with non-minimally coupled scalar field gives rise to an accelerating universe by choosing Hubble scale as IR cutoff. We show viable range of a non-minimal coupling parameter in the framework of this model.

Accelerating Universe from Modified Kasner Model in Extra DimensionsDec 23 2008Mar 11 2009This paper has been withdrawn by the author.

Correction terms to Newton law due to induced gravity in AdS backgroundNov 27 2002Jan 12 2003We calculate small correction terms to gravitational potential on Randall-Sundrum brane with an induced Einstein term. The behaviors of the correction terms depend on the magnitudes of $AdS$ radius $k^{-1}$ and a characteristic length scale $\l$ of model. ... More

Localized gravity on de Sitter brane in five dimensionsApr 14 2002Oct 25 2003We consider a single brane embedded in five dimensions with vanishing and positive bulk cosmological constant. In this setup, the existence of $dS_{4}$ brane is allowed. We explore the gravitational fluctuations on the brane, and we point out that the ... More

Linearized gravity in flat braneworlds with anisotropic brane tensionFeb 25 2002Oct 29 2002We study the four-dimensional gravitational fluctuation on anisotropic brane tension embedded in braneworlds with vanishing bulk cosmological constant. In this setup, warp factors have two types (A and B) and we point out that the two types correspond ... More

Various Types of Five-Dimensional Warp Factor and Effective Planck ScaleSep 19 2001Nov 10 2001Based on the assumption that the warp factor of four-dimensional spacetime and the one of fifth dimension are tied through a parameter $\alpha$, we consider five-dimensional gravity with a 3-brane coupled to a bulk scalar field. For arbitrary value of ... More

Avoided crossings in three coupled oscillators as a model system of acoustic bubblesJun 09 2005Oct 27 2005The resonance frequencies and oscillation phases of three acoustically coupled bubbles are examined to show that avoided crossings can appear in a multibubble system. Via a simple coupled oscillator model, we show that if at least three bubbles exist, ... More

Invitation to higher local fields, Part I, section 12: Two types of complete discrete valuation fieldsDec 18 2000This work sketches the author classification of complete discrete valuation fields K of characteristic 0 with residue field of characteristic p into two classes depending on the behaviour of the torsion part of a differential module. For each of these ... More

Invitation to higher local fields, Part I, section 5: Kato's higher local class field theoryDec 18 2000This is a presentation of main ingredients of Kato's higher local class field theory.

Fixed point properties and second bounded cohomology of universal lattices on Banach spaceApr 29 2009Dec 21 2010Let B be any Lp space for p in (1,infty) or any Banach space isomorphic to a Hilbert space, and k be a nonnegative integer. We show that if n is at least 4, then the universal lattice Gamma =SL_n (Z[x1,...,xk]) has property (F_B) in the sense of Bader--Furman--Gelander--Monod. ... More

Hybrid-Cubic-Rational Semi-Lagrangian Method with the Optimal MixingJul 04 2001A semi-Lagrangian method for advection equation with hybrid cubic-rational interpolation is introduced. In the present method, the spatial profile of physical quantities is interpolated with a combination of a cubic and a rational function. For achieving ... More

Fixed point property for universal lattice on Schatten classesOct 21 2010Jun 07 2011The special linear group G=SL_n(Z[x1,...,xk]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, p be any real number in (1,\infty). The main result is the following: any finite index subgroup of G has the fixed point property ... More

On cohomological theory of dynamical zeta functionsMay 30 2018We discuss about the conjectural cohomological theory of dynamical zeta functions in the case of general Anosov flows. Our aim is to provide a functional-analytic framework that enables us to justify the basic part of the theory rigorously. We show that ... More

Polymer drift in a solvent by force acting on one polymer endOct 09 2007We investigate the effect of hydrodynamic interactions on the non-equilibrium drift dynamics of an ideal flexible polymer pulled by a constant force applied at one end of the polymer using the perturbation theory and the renormalization group method. ... More