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Higgs inflation scenario in a radiative seesaw model and its testability at the ILCMay 22 2014The Higgs inflation scenario is an approach to realize the cosmic inflation, where the Higgs boson plays a role of the inflaton. In the minimal model, it would be difficult to satisfy theoretical constraints from vacuum stability and perturbative unitarity. ... More

Testability of the Higgs inflation scenario in a radiative seesaw modelMay 01 2013The Higgs inflation scenario is an approach to realize the inflation, in which the Higgs boson plays a role of the inflaton without introducing a new particle. We investigate a Higgs inflation scenario in the so-called radiative seesaw model proposed ... More

Neutrino Mass and Dark Matter from Gauged B$-$L BreakingMay 29 2015We discuss a new radiative seesaw model with the gauged B$-$L symmetry which is spontaneously broken. We improve the previous model by using the anomaly-free condition without introducing too many fermions. In our model, dark matter, tiny neutrino masses ... More

Gravitational waves as a probe of extended scalar sectors with the first order electroweak phase transitionSep 28 2015Dec 13 2015We discuss spectra of gravitational waves which are originated by the strongly first order phase transition at the electroweak symmetry breaking, which is required for a successful scenario of electroweak baryogenesis. Such spectra are numerically evaluated ... More

Loop Suppression of Dirac Neutrino Mass in the Neutrinophilic Two Higgs Doublet ModelMay 20 2013Nov 10 2013We extend the scalar sector of the neutrinophilic two Higgs doublet model, where small masses of Dirac neutrinos are obtained via a small vacuum expectation value v_nu of the neutrinophilic SU(2)_L-doublet scalar field which has a Yukawa interaction with ... More

Higgs inflation in a radiative seesaw modelNov 19 2012Apr 13 2013We investigate a simple model to explain inflation, neutrino masses and dark matter simultaneously. This is based on the so-called radiative seesaw model proposed by Ma in order to explain neutrino masses and dark matter by introducing a $Z_2$-odd isospin ... More

Neutrino Mass and Dark Matter from Gauged $U(1)_{B-L}$ BreakingMay 08 2014Jul 09 2014We propose a new model where the Dirac mass term for neutrinos, the Majorana mass term for right-handed neutrinos, and the other new fermion masses arise via the spontaneous breakdown of the $U(1)_{B-L}$ gauge symmetry. The anomaly-free condition gives ... More

Algorithms for integrals of holonomic functions over domains defined by polynomial inequalitiesAug 24 2011Oct 29 2011We present an algorithm for computing a holonomic system for a definite integral of a holonomic function over a domain defined by polynomial inequalities. If the integrand satisfies a holonomic difference-differential system including parameters, then ... More

Operational calculus for holonomic distributions in the framework of D-module theoryApr 02 2016Let $f$ be a real polynomial of $x = (x_1,\dots,x_n)$ and $\varphi$ be a locally integrable function of $x$ which satisfies a holonomic system of linear differential equations. We study the distribution $f_+^\lambda\varphi$ with a meromorphic parameter ... More

Annihilators of Laurent coefficients of the complex power for normal crossing singularitySep 05 2015Let $f$ be a real-valued real analytic function defined on an open set of $\mathbb{R}^n$. Then the complex power $f_+^\lambda$ is defined as a distribution with a holomorphic parameter $\lambda$. We determine the annihilator (in the ring of differential ... More

Localization, local cohomology, and the b-function of a D-module with respect to a polynomialSep 15 2016Given a $D$-module $M$ generated by a single element, and a polynomial $f$, one can construct several $D$-modules attached to $M$ and $f$ and can define the notion of the (generalized) $b$-function following M. Kashiwara. These modules are closely related ... More

Length and multiplicity of the local cohomology with support in a hyperplane arrangementSep 06 2015Let $R$ be the polynomial ring in $n$ variables with coefficients in a field $K$ of characteristic zero. Let $D_n$ be the $n$-th Weyl algebra over $K$. Suppose that $f \in R$ defines a hyperplane arrangement in the affine space $K^n$. Then the length ... More

An algorithm to compute the differential equations for the logarithm of a polynomialJan 16 2012We present an algorithm to compute the annihilator of (i.e., the linear differential equations for) the logarithm of a polynomial in the ring of differential operators with polynomial coefficients. The algorithm consists of differentiation with respect ... More

On delta invariants and indices of idealsMay 15 2017Let R be a Cohen-Macaulay local ring with a canonical module. We consider Auslander's (higher) delta invariants of powers of certain ideals of R. Firstly, we shall provide some conditions for an ideal to be a parameter ideal in terms of delta invarints. ... More

On a question of Buchweitz about ranks of syzygies of modules of finite lengthJan 18 2017Let R be a local ring of dimension d. Buchweitz asks if the rank of the d-th syzygy of a module of finite lengh is greater than or equal to the rank of the d-th syzygy of the residue field, unless the module has finite projective dimension. Assuming that ... More

Synergy between measurements of the gravitational wave and the triple Higgs coupling in probing first order phase transitionApr 07 2016Jul 20 2016Probing the Higgs potential and new physics behind the electroweak symmetry breaking is one of the most important issues of particle physics. In particular, nature of electroweak phase transition is essential for understanding physics at the early Universe, ... More

Gravitational waves and Higgs boson couplings for exploring first order phase transition in the model with a singlet scalar fieldSep 01 2016We calculate the spectrum of gravitational waves originated from strongly first order electroweak phase transition in the extended Higgs model with a real singlet field. In order to calculate the bubble nucleation rate, we perform a two-field analysis ... More

Indirect reach of heavy MSSM Higgs bosons by precision measurements at future lepton collidersMay 14 2015Sep 11 2015In the Minimal Supersymmetric Standard Model (MSSM), the bottom Yukawa coupling of the Higgs boson can considerably deviate from its Standard Model prediction due to non-decoupling effects. We point out that the ratio of the Higgs boson decay branching ... More

Gravitational waves from first order electroweak phase transition in models with the $U(1)_X^{}$ gauge symmetryFeb 08 2018We consider a standard model extension equipped with a dark sector where the $U(1)_X^{}$ Abelian gauge symmetry is spontaneously broken by the dark Higgs mechanism. In this framework, we investigate patterns of the electroweak phase transition as well ... More

Algorithm for computing local Bernstein-Sato idealsJun 30 2008Given $p$ polynomials of $n$ variables over a field $k$ of characteristic 0 and a point $a \in k^n$, we propose an algorithm computing the local Bernstein-Sato ideal at $a$. Moreover with the same algorithm we compute a constructible stratification of ... More

Algorithms for D-modules --- restriction, tensor product, localization, and local cohomology groupsMay 02 1998We describe algorithms for computing various functors for algebraic D-modules, i.e. systems of linear partial differential equations with polynomial coefficients. We will give algorithms for restriction, tensor product, localization, and local cohomology ... More

Boundary bound states in the SUSY sine-Gordon model with Dirichlet boundary conditionsMay 04 2012We analyze the ground state structure of the supersymmetric sine-Gordon model via the lattice regularization. The nonlinear integral equations are derived for any values of the boundary parameters by the analytic continuation and showed three different ... More

The structure of preenvelopes with respect to maximal Cohen-Macaulay modulesApr 30 2015This paper studies the structure of special preenvelopes and envelopes with respect to maximal Cohen-Macaulay modules. We investigate the structure of them in terms of their kernels and cokernels. Moreover, using this result, we also study the structure ... More

Spinon excitations in the spin-1 XXZ chain and hidden supersymmetryJul 14 2016Sep 20 2016We study spinon excitations of the integrable spin-1 (Fateev-Zamolodchikov; FZ) chain and their relation to the hidden supersymmetry. Using the notion of the supercharges earlier introduced to the spin chains, which change the system length by one, we ... More

Dynamical supersymmetry on the XXX spin chainApr 22 2015Apr 30 2015We show the XXX model has the N = 2 dynamical supersymmetry. Using the supercharges defined by the Jordan-Wigner fermions, it was found that the anti-commutation relation of the supercharges gives the Hamiltonian of the XXX model with magnetic field. ... More

Multi-state asymmetric simple exclusion processesNov 29 2013Dec 08 2014It is known that the Markov matrix of the asymmetric simple exclusion process (ASEP) is invariant under the Uq(sl2) algebra. This is the result of the fact that the Markov matrix of the ASEP coincides with the generator of the Temperley-Lieb (TL) algebra, ... More

Log-convexity and the cycle index polynomials with relation to compound Poisson distributionsSep 22 2016We extend the exponential formula by Bender and Canfield (1996), which relates log-concavity and the cycle index polynomials. The extension clarifies the log-convexity relation. The proof is by noticing the property of a compound Poisson distribution ... More

Classifying dense (co)resolving subcategories of exact categories via Grothendieck groupsAug 02 2016Nov 06 2016Classification problems of subcategories have been deeply considered so far. In this paper, we discuss classifying dense (co)resolving subcategories of exact categories via their Grothendieck groups. This study is motivated by the classification of dense ... More

Quadratic regression for functional response modelsFeb 07 2017Jul 02 2018We consider the problem of constructing a regression model with a functional predictor and a functional response. We extend the functional linear model to the quadratic model, where the quadratic term also takes the interaction between the argument of ... More

A characterization of ARMA and Fractional ARIMA models with infinitely divisible innovationsMar 25 2007Apr 27 2015The object of this paper is to study the asymptotic dependence structure of the linear time series models with infinitely divisible innovations by the use of their characteristic functions. Autoregressive moving-average (ARMA) models and fractional autoregressive ... More

Boundary conditions for the Stokes problem and a pressure-Poisson problemDec 26 2018We consider a boundary value problem for the stationary Stokes problem and the corresponding pressure-Poisson equation. We propose a new formulation for the pressure-Poisson problem with an appropriate additional boundary condition. We establish error ... More

Log-convexity and the cycle index polynomials with relation to compound Poisson distributionsSep 22 2016Jul 28 2017We extend the exponential formula by Bender and Canfield (1996), which relates log-concavity and the cycle index polynomials. The extension clarifies the log-convexity relation. The proof is by noticing the property of a compound Poisson distribution ... More

Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approachApr 15 2014Jun 19 2014We discussed subspaces of the N=1 supersymmetric sine-Gordon model with Dirichlet boundaries through light-cone lattice regularization. In this paper, we showed, unlike the periodic boundary case, both of Neveu-Schwarz (NS) and Ramond (R) sectors of a ... More

Boundary effects on the lattice/continuum correspondence: the spin-1/2 XXZ chain and the sine-Gordon modelDec 08 2014We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully treat the oscillating ... More

Spacetime Instability and the Problems with Low Energy Quantum GravityJan 25 2019Feb 06 2019In this paper we discuss spacetime instability problems in effective field theories of the quantum gravity (QG). The effective action of the gravity requires higher-derivative curvature terms $R^{2}, { R }_{ \mu \nu }{ R }^{ \mu \nu }, R_{\mu\nu\kappa\lambda} ... More

Prediction of components in random sumsApr 27 2015Jul 10 2015We consider predictions of the random number and the magnitude of each iid component in a random sum based on its distributional structure, where only a total value of the sum is available and where iid random components are non-negative. The problem ... More

Model selection criteria for nonlinear mixed effects modelingFeb 24 2014We consider constructing model selection criteria for evaluating nonlinear mixed effects models via basis expansions. Mean functions and random functions in the mixed effects model are expressed by basis expansions, then they are estimated by the maximum ... More

Singular equivalences of commutative noetherian rings and reconstruction of singular lociSep 22 2017May 14 2018Two left noetherian rings $R$ and $S$ are said to be {\it singularly equivalent} if their singularity categories are equivalent as triangulated categories. The aim of this paper is to give a necessary condition for two commutative noetherian rings to ... More

Decoding a Class of Affine Variety Codes with Fast DFTSep 29 2012An efficient procedure for error-value calculations based on fast discrete Fourier transforms (DFT) in conjunction with Berlekamp-Massey-Sakata algorithm for a class of affine variety codes is proposed. Our procedure is achieved by multidimensional DFT ... More

Fisher Information Matrix of General Stable Distributions Close to the Normal DistributionFeb 26 2005We investigate behavior of the Fisher information matrix of general stable distributions. DuMouchel (1975, 1983) proved that the Fisher information of characteristic exponent \alpha diverges to infinity as \alpha approaches 2. Nagaev and Shkol'nik (1988) ... More

Asymptotics of maximum likelihood estimation for stable law with $(M)$ parameterizationJan 27 2019Feb 04 2019Asymptotics of maximum likelihood estimation for $\alpha$-stable law are analytically investigated with $(M)$ parameterization. The consistency and asymptotic normality are shown on the interior of the whole parameter space. Although these asymptotics ... More

On Spectral Gap,U(1) Symmetry and Split Property in Quantum Spin ChainsAug 11 2008We consider a class of ground states for quantum spin chains on an integer lattice. First we show that presence of the spectral gap between the ground state energy and the rest of spectrum implies the split property of certain subsystems.As a corollary, ... More

BEC of Free Bosons on NetworksSep 02 2005We consider free Bosons hopping on a network(infinite graph). The condition for Bose-Einstein condensation is given in terms of the random walk on a graph. In case of periodic lattices, we also consider Boson moving in an external periodic potential and ... More

Arrival times of Cox process with independent increment with application to prediction problemsJul 01 2017Dec 06 2017Properties of arrival times are studied for a Cox process with independent (and stationary) increments. Under a reasonable setting the directing random measure is shown to take over independent (and stationary) increments of the process, from which the ... More

Selection of variables and decision boundaries for functional data via bi-level selectionFeb 07 2017Feb 13 2017Sparsity-inducing penalties are useful tools for variable selection and they are also effective for regression settings where the data are functions. We consider the problem of selecting not only variables but also decision boundaries in logistic regression ... More

Prediction in a non-homogeneous Poisson cluster modelJul 19 2013Nov 28 2013A non-homogeneous Poisson cluster model is studied, motivated by insurance applications. The Poisson center process which expresses arrival times of claims, triggers off cluster member processes which correspond to number or amount of payments. The cluster ... More

Classifying dense (co)resolving subcategories of exact categories via Grothendieck groupsAug 02 2016Classification problems of subcategories have been deeply considered so far. In this paper, we discuss classifying dense (co)resolving subcategories of exact categories via their Grothendieck groups. This study is motivated by the classification of dense ... More

Lemma for Linear Feedback Shift Registers and DFTs Applied to Affine Variety CodesNov 20 2012Jan 20 2014In this paper, we establish a lemma in algebraic coding theory that frequently appears in the encoding and decoding of, e.g., Reed-Solomon codes, algebraic geometry codes, and affine variety codes. Our lemma corresponds to the non-systematic encoding ... More

Fast Erasure-and-Error Decoding and Systematic Encoding of a Class of Affine Variety CodesAug 27 2012In this paper, a lemma in algebraic coding theory is established, which is frequently appeared in the encoding and decoding for algebraic codes such as Reed-Solomon codes and algebraic geometry codes. This lemma states that two vector spaces, one corresponds ... More

Boundedness of Entanglement Entropy,and Split Property of Quantum Spin ChainsSep 27 2011We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between the ground state ... More

Asymptotics of maximum likelihood estimation for stable law with continuous parameterizationJan 27 2019Feb 28 2019Asymptotics of maximum likelihood estimation for $\alpha$-stable law are analytically investigated with a continuous parameterization. The consistency and asymptotic normality are shown on the interior of the whole parameter space. Although these asymptotics ... More

On the evaluation of form factors and correlation functions for the integrable spin-s XXZ chains via the fusion methodMar 22 2011Revising the derivation of the previous papers, for the integrable spin-$s$ XXZ chain we express any form factor in terms of a single sum over scalar products of the spin-1/2 XXZ chain. With the revised method we express the spin-$s$ XXZ correlation function ... More

Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion methodJul 03 2009Nov 19 2009For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula expressing it by ... More

Phase coexistence phenomena in an extreme case of the misanthrope process with open boundariesMay 03 2016Jul 27 2016The misanthrope process is a class of stochastic interacting particle systems, generalizing the simple exclusion process. It allows each site of the lattice to accommodate more than one particle. We consider a special case of the one dimensional misanthrope ... More

The Ξ_Q - Ξ_Q' Mixing and Heavy Baryon MassesMay 13 1996Sep 26 1996We examine the $\Xi_Q - \Xi'_Q$ mixing and heavy baryon masses in the heavy quark effective theory with the $\mq$ corrections. In the conventional baryon assignment, we obtain the mixing angle $\cos^2 \theta = 0.87\pm 0.03$ in virtue of the Gell-Mann-Okubo ... More

Quark-hadron phase transition in a three flavor PNJL modelSep 30 2013We study the quark-hadron phase transition by using a three flavor Nambu-Jona-Lasinio model with the Polyakov loop at zero chemical potential, extending our previous work with two flavor model. We show that the equation of state at low temperatures is ... More

Gravitational wave background from kink-kink collisions on infinite cosmic stringsFeb 25 2019We calculate the power spectrum of the stochastic gravitational wave (GW) background expected from kink-kink collisions on infinite cosmic strings. Intersections in the cosmic string network continuously generate kinks, which emit GW bursts by their propagation ... More

A geometric degree formula for $A$-discriminants and Euler obstructions of toric varietiesJul 20 2008Dec 14 2008We give explicit formulas for the dimensions and the degrees of $A$-discriminant varieties introduced by Gelfand-Kapranov-Zelevinsky. Our formulas can be applied also to the case where the $A$-discriminant varieties are higher-codimensional and their ... More

Integral representations of one dimensional projections for multivariate stable densitiesAug 23 2006We consider the numerical evaluation of one dimensional projections of general multivariate stable densities introduced by Abdul-Hamid and Nolan (1998). In their approach higher order derivatives of one dimensional densities are used, which seem to be ... More

Construction of spectra of triangulated categories without tensor structure and applications to commutative ringsNov 15 2018In this paper, as an analogue of the spectrum of a tensor triangulated category introduced by Balmer, we define a spectrum of a triangulated category which does not necessarily admit a tensor structure. We apply it for some triangulated categories associated ... More

Microlocal study of Lefschetz fixed point formulas for higher-dimensional fixed point setsDec 24 2008We introduce new Lagrangian cycles which encode local contributions of Lefschetz numbers of constructible sheaves into geometric objects. We study their functorial properties and apply them to Lefschetz fixed point formulas with higher-dimensional fixed ... More

The extremogram and the cross-extremogram for a bivariate GARCH(1,1) processMay 20 2015In this paper, we derive some asymptotic theory for the extremogram and cross-extremogram of a bivariate GARCH(1,1) process. We show that the tails of the components of a bivariate GARCH(1,1) process may exhibit power law behavior but, depending on the ... More

Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine SpacesDec 14 2014Dec 08 2015A projective Reed-Muller (PRM) code, obtained by modifying a (classical) Reed-Muller code with respect to a projective space, is a doubly extended Reed-Solomon code when the dimension of the related projective space is equal to 1. The minimum distance ... More

Effects of Minor Mergers on Coalescence of a Supermassive Black Hole BinaryDec 24 2008Dec 25 2008We study the possibility that minor mergers resolve the loss cone depletion problem, which is the difficulty occured in the coalescence process of the supermassive black hole (SMBH) binary, by performing numerical simulations with a highly accurate $N$-body ... More

Quark-hadron phase transition in a three flavor PNJL model for interacting quarksOct 18 2013We extend our previous study of the quark-hadron phase transition at finite temperatures with zero net baryon density by two flavor Nambu-Jona-Lasinio model with Polyakov loop to the three flavor case in a scheme which incorporates flavor nonet pseudo ... More

An Equivariant Liapunov Stability Test and the Energy-Momentum-Casimir MethodJul 12 2001Feb 11 2002We present an equivariant Liapunov stability criterion for dynamical systems with symmetry. This result yields a simple proof of the energy-momentum-Casimir stability analysis of relative equilibria of equivariant Hamiltonian systems.

Asymptotic analysis of an $\varepsilon$-Stokes problem connecting Stokes and pressure-Poisson problemsDec 07 2017In this Note, we prepare an $\varepsilon$-Stokes problem connecting the Stokes problem and the corresponding pressure-Poisson equation using one parameter $\varepsilon>0$. We prove that the solution to the $\varepsilon$-Stokes problem, convergences as ... More

Higgs vacuum metastability in primordial inflation, preheating, and reheatingFeb 05 2016Mar 02 2016Current measurements of the Higgs boson mass and top Yukawa coupling suggest that the effective Higgs potential develops an instability below the Planck scale. If the energy scale of inflation is as high as the GUT scale, inflationary quantum fluctuations ... More

Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetryJul 11 2008Sep 04 2008We derive exactly scalar products and form factors for integrable higher-spin XXZ chains through the algebraic Bethe-ansatz method. Here spin values are arbitrary and different spins can be mixed. We show the affine quantum-group symmetry, $U_q(\hat{sl_2})$, ... More

Higgs vacuum metastability in primordial inflation, preheating, and reheatingFeb 05 2016Nov 16 2016Current measurements of the Higgs boson mass and top Yukawa coupling suggest that the effective Higgs potential develops an instability below the Planck scale. If the energy scale of inflation is as high as the GUT scale, inflationary quantum fluctuations ... More

Molecular dynamics investigation of dislocation pinning by a nanovoid in copperDec 27 2004Jun 14 2005Interactions between an edge dislocation and a void in copper are investigated by means of molecular dynamics simulation. The depinning stresses of the leading partial and of the trailing partial show qualitatively different behaviors. The depinning stress ... More

Some improvements in numerical evaluation of symmetric stable density and its derivativesAug 24 2004Aug 25 2004We propose improvements in numerical evaluation of symmetric stable density and its partial derivatives with respect to the parameters. They are useful for more reliable evaluation of maximum likelihood estimator and its standard error. Numerical values ... More

Eternal Inflation and Swampland ConjecturesJul 31 2018Jan 21 2019We study if eternal inflation is realized while satisfying the recently proposed string Swampland criteria concerning the range of scalar field excursion, $|\Delta \phi| < \mathcal{D} \cdot M_{\rm P}$, and the potential gradient, $|\nabla V| > c \cdot ... More

Approximation Algorithm for Cycle-Star Hub Network Design Problems and Cycle-Metric Labeling ProblemsDec 09 2016We consider a single allocation hub-and-spoke network design problem which allocates each non-hub node to exactly one of given hub nodes so as to minimize the total transportation cost. This paper deals with a case in which the hubs are located in a cycle, ... More

Prethick subcateogries of modules and characterizations of local ringsDec 27 2014Jun 04 2015This paper studies characterizing local rings in terms of homological dimensions. The key tool is the notion of a prethick subcategory which we introduce in this paper. Our methods recover the theorems of Salarian, Sather-Wagstaff and Yassemi.

Quark-Hadron Phase Transition in the PNJL model for interacting quarksDec 26 2012Jan 29 2013We study quark-hadron phase transition at finite temperature with zero net baryon density by the Nambu-Jona-Lasinio model for interacting quarks in uniform background temporal color gauge fields. At low temperatures, unphysical thermal quark-antiquark ... More

Kakutani Dichotomy on Free StatesMar 15 2012Two quasi-free states on a CAR or CCR algebra are shown to generate quasi-equivalent representations unless they are disjoint.

Goodness-of-Fit Tests for Symmetric Stable Distributions -- Empirical Characteristic Function ApproachFeb 16 2006We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard symmetric stable ... More

Motivic Milnor fibers and Jordan normal forms of Milnor monodromiesFeb 23 2012By calculating the equivariant mixed Hodge numbers of motivic Milnor fibers introduced by Denef-Loeser, we obtain explicit formulas for the Jordan normal forms of Milnor monodromies. The numbers of the Jordan blocks will be described by the Newton polyhedron ... More

Singularity categories and singular equivalences for resolving subcategoriesDec 27 2014May 27 2016Let $\X$ be a resolving subcategory of an abelian category. In this paper we investigate the singularity category $\ds(\underline\X)=\db(\mod\underline\X)/\kb(\proj(\mod\underline\X))$ of the stable category $\underline\X$ of $\X$. We consider when the ... More

Double Counting in $2^t$-ary RSA Precomputation Reveals the Secret ExponentJul 28 2014A new fault attack, double counting attack (DCA), on the precomputation of $2^t$-ary modular exponentiation for a classical RSA digital signature (i.e., RSA without the Chinese remainder theorem) is proposed. The $2^t$-ary method is the most popular and ... More

Sympatric Speciation in a Simple Food WebFeb 11 2005Observations of the evolution of species groups in nature, such as well recognized Galapagos finches, have motivated much theoretical research aimed at understanding the processes associated with such radiations. The Penna model is one such model and ... More

Euler characteristic reciprocity for chromatic, flow and order polynomialsJan 03 2016Apr 06 2017The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardinality of a finite set. An advantage of semialgebraic sets is that we can define "negative sets" to be the sets with negative Euler characteristics. Applying ... More

Inverse-free Berlekamp-Massey-Sakata Algorithm and Small Decoders for Algebraic-Geometric CodesMay 02 2007This paper proposes a novel algorithm for finding error-locators of algebraic-geometric codes that can eliminate the division-calculations of finite fields from the Berlekamp-Massey-Sakata algorithm. This inverse-free algorithm provides full performance ... More

Thick tensor ideals of right bounded derived categoriesNov 09 2016Let R be a commutative noetherian ring. Denote by D^-(R) the derived category of cochain complexes X of finitely generated R-modules with H^i(X)=0 for i>>0. Then D^-(R) has the structure of a tensor triangulated category with tensor product \otimes_R^L ... More

Generalized fractional Ornstein-Uhlenbeck processesJul 14 2008We introduce an extended version of the fractional Ornstein-Uhlenbeck (FOU) process where the integrand is replaced by the exponential of an independent L\'evy process. We call the process the generalized fractional Ornstein-Uhlenbeck (GFOU) process. ... More

Fractional absolute moments of heavy tailed distributionsJan 21 2013Jun 03 2014Several convenient methods for calculation of fractional absolute moments are given with application to heavy tailed distributions. We use techniques of fractional differentiation to obtain formulae for $E[|X-\mu|^\gamma]$ with $1<\gamma<2$ and $\mu\in\mathbb{R}$. ... More

Monodromy zeta functions at infinity, Newton polyhedra and constructible sheavesSep 18 2008Dec 28 2009By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta ... More

Tail indices for AX+B recursion with triangular matricesAug 29 2018Multivariate stochastic recurrence equations (SREs) are investigated when coefficients are triangular matrices. If coefficient matrices of SREs have all strictly positive elements, the Kesten's classical result yields solutions with regularly varying ... More

Amino acid precursors from a simulated lower atmosphere of Titan: Experiments of cosmic ray energy source with 13 C- and 18 O-stable isotope probing mass spectrometrySep 24 2013Sep 25 2013The organic haze of aerosols that shrouds the Saturnian moon Titan has previously been studied by both observations and laboratory simulation experiments. Here we report the abiotic formation of amino acid precursors in complex organic molecules during ... More

A Disk Galaxy of Old Stars at z ~ 2.5Dec 19 2003We describe observations of a galaxy in the field of the $z=2.483$ radio galaxy 4C 23.56, photometrically selected to have a spectral-energy distribution consistent with an old stellar population at the redshift of the radio galaxy. Exploration of redshift--stellar-population-reddening ... More

Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrumMar 08 2019We say that a Cohen-Macaulay local ring has finite $\operatorname{\mathsf{CM}}_+$-representation type if there exist only finitely many isomorphism classes of indecomposable maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum. ... More

Anomalous gauge theories revisitedDec 28 2004Feb 03 2005A possible formulation of chiral gauge theories with an anomalous fermion content is re-examined in light of the lattice framework based on the Ginsparg-Wilson relation. It is shown that the fermion sector of a wide class of anomalous non-abelian theories ... More

Electroweak Vacuum Instability and Renormalized Higgs Field Vacuum Fluctuations in the Inflationary UniverseJul 27 2016In this work, we investigated the electroweak vacuum instability during or after inflation. In the inflationary Universe, i.e., de Sitter space, the vacuum field fluctuations $\left< {\delta \phi }^{ 2 } \right>$ enlarge in proportion to the Hubble scale ... More

Higgs sector extension of the neutrino minimal standard model with thermal freeze-in production mechanismMar 04 2015Jul 07 2016The neutrino minimal Standard Model ({\nu}MSM) is the minimum extension of the standard model. In this model, the Dodelson-Widrow mechanism (DW) produces keV sterile neutrino dark matter (DM) and the degenerate GeV heavy Majorana neutrinos lead to leptogenesis. ... More

Encoding via Gröbner bases and discrete Fourier transforms for several types of algebraic codesMar 22 2007May 02 2007We propose a novel encoding scheme for algebraic codes such as codes on algebraic curves, multidimensional cyclic codes, and hyperbolic cascaded Reed-Solomon codes and present numerical examples. We employ the recurrence from the Gr\"obner basis of the ... More

Equation of state of a meson gas from the PNJL model for interacting quarksJun 21 2012Jan 18 2013We compute the equation of state of hadronic matter at finite temperature with zero net baryon density by the Nambu-Jona-Lasinio model for interacting quarks in uniform background temporal color gauge fields. In the low temperature confining phase, unphysical ... More

A constant-ratio approximation algorithm for a class of hub-and-spoke network design problems and metric labeling problems: star metric caseMar 16 2018Transportation networks frequently employ hub-and-spoke network architectures to route flows between many origin and destination pairs. Hub facilities work as switching points for flows in large networks. In this study, we deal with a problem, called ... More

On the sizes of the Jordan blocks of monodromies at infinityFeb 23 2012We obtain general upper bounds of the sizes and the numbers of Jordan blocks for the eigenvalues $\lambda \not= 1$ in the monodromies at infinity of polynomial maps.

Milnor fibers over singular toric varieties and nearby cycle sheavesSep 18 2008Dec 02 2008We propose a new sheaf-theoretical method for the calculation of the monodromy zeta functions of Milnor fibrations. As an application, classical formulas of Kushnirenko and Varchenko etc. concerning polynomials on $\CC^n$ will be generalized to polynomial ... More