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Autocomplete Textures for 3D PrintingMar 16 2017Texture is an essential property of physical objects that affects aesthetics, usability, and functionality. However, designing and applying textures to 3D objects with existing tools remains difficult and time-consuming; it requires proficient 3D modeling ... More

On the hyperfine interaction in rare-earth Van Vleck paramagnets at high magnetic fieldsDec 09 2002An influence of high magnetic fields on hyperfine interaction in the rare-earth ions with non-magnetic ground state (Van Vleck ions) is theoretically investigated for the case of $Tm^{3+}$ ion in axial symmetrical crystal electric field (ethylsulphate ... More

Symmetries of the Coefficients of Three Term Relations for the Hypergeometric FunctionsMay 06 2016Any three hypergeometric functions whose respective parameters $(a, b, c)$ differ by integers satisfy a linear relation with coefficients which are rational functions of $a, b, c$ and the variable $x$. These relations are called three term relations. ... More

Two dimensional adelic analysis and cuspidal automorphic representations of GL(2)May 29 2008Two dimensional adelic objects were introduced by I. Fesenko in his study of the Hasse zeta function associated to a regular model $\mathcal E$ of the elliptic curve $E$. The Hasse-Weil $L$-function $L(E,s)$ of $E$ appears in the denominator of the Hasse ... More

Integral operators arising from the Riemann zeta functionJul 17 2019In this paper we have two issues coming from the same background. The first one is to describe a certain ratio of Fredholm determinants of integral operators arising from the Riemann zeta function by using the solution of a single integral equation. The ... More

An improvement of the duality formalism of the rational etale siteFeb 10 2019Jul 17 2019We improve the arithmetic duality formalism of the rational etale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously established duality theorems ... More

Epimorphisms between $2$-bridge knot groups and their crossing numbersJun 15 2016Dec 04 2016Suppose that there exists an epimorphism from the knot group of a $2$-bridge knot $K$ onto that of another knot $K'$. In this paper, we study the relationship between their crossing numbers $c(K)$ and $c(K')$. Especially it is shown that $c(K)$ is greater ... More

Neron models of 1-motives and dualityJun 20 2018Mar 22 2019In this paper, we propose a definition of Neron models of arbitrary Deligne 1-motives over Dedekind schemes, extending Neron models of semi-abelian varieties. The key property of our Neron models is that they satisfy a generalization of Grothendieck's ... More

The set of common fixed points of an n-parameter continuous semigroup of mappingsJun 11 2004In this paper, using Kronecker's theorem, we discuss the set of common fixed points of an n-parameter continuous semigroup of mappings. We also discuss convergence theorems to a common fixed point of an n-parameter nonexpansive semigroup.

An inverse problem for a class of diagonal HamiltoniansJul 18 2019Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system consisting of ordinary ... More

Non-amenable tight squeezes by Kirchberg algebrasAug 08 2019We provide a constructive ambient Kirchberg algebra of the reduced free group C*-algebra ${\mathrm C}^\ast_{\mathrm r}(\mathbb{F}_\infty)$ without intermediate C*-algebras. Moreover we show that every Kirchberg algebra is KK-equivalently sandwiched by ... More

Testing the direct CP violation of the Standard Model without knowing strong phasesAug 19 1999Aug 24 1999Reference to recent papers and experimental feasibility are added. The paper will not be published in a hard-copy journal.

Long-distance final-state interactions and J/psi decayJan 13 1998To understand the short-distance vs long-distance final-state interactions, we have performed a detailed amplitude analysis for the two-body decay, J/psi into vector and pseudoscalar mesons. The current data favor a large relative phase nearly 90 degrees ... More

Information Geometry and Statistical ManifoldOct 09 2014We review basic notions in the field of information geometry such as Fisher metric on statistical manifold, $\alpha$-connection and corresponding curvature following Amari's work . We show application of information geometry to asymptotic statistical ... More

A canonical system of differential equations arising from the Riemann zeta-functionApr 09 2012Sep 23 2016This paper has two main results, which relate to a criteria for the Riemann hypothesis via the family of functions $\Theta_\omega(z)=\xi(1/2-\omega-iz)/\xi(1/2+\omega-iz)$, where $\omega>0$ is a real parameter and $\xi(s)$ is the Riemann xi-function. ... More

Inelastic final-state interactionOct 29 2007Apr 15 2008The final-state interaction in multichannel decay processes is sytematically studied with application to B decay in mind. Since the final-state inteaction is intrinsically interwoven with the decay interaction in this case, no simple phase theorem like ... More

The X(3872) boson: Molecule or charmoniumAug 24 2005Nov 19 2005It has been argued that the mystery boson X(3872) is a molecule state consisting of primarily D0-D0*bar + D0bar-D*0. In contrast, apparent puzzles and potential difficulties have been pointed out for the charmonium assignment of X(3872). We examine several ... More

Axial-vector meson mixing in orthocharmonium decaysSep 25 1996The new BES measurement on the two-body decays of J/psi and psi' into an axial-vector meson and a pseudoscalar meson is analyzed with the axial-K mixing including the one-photon annihilation contribution. A somewhat puzzling pattern of the K_1^+ K^- decay ... More

Topologically nontrivial time-dependent chiral condensatesJul 18 1996Topologically nontrivial time-dependent solutions of the classical nonlinear sigma model are studied as candidates of the disoriented chiral condensate (DCC) in 3+1 dimensions. Unlike the analytic solutions so far discussed, these solutions cannot be ... More

Composite gauge-bosons made of fermionsMar 24 2016Jul 11 2016We construct a class of Abelian and non-Abelian local gauge theories that consist only of matter fields of fermions. The Lagrangian is compact and local without containing an auxiliary vector field nor a subsidiary condition on the matter fields. Because ... More

On the Long-Term Modulation of Solar Differential RotationJul 22 2014Long-term modulation of solar differential rotation was studied with data from Mt. Wilson and our original observations during Solar Cycles 16 through 23. The results are: i) The global B-value (i.e. latitudinal gradient of differential rotation), is ... More

Irreversibility and Entropy Production in Transport Phenomena IMar 10 2011Mar 30 2011*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von Neumann equation. ... More

Epimorphisms between $2$-bridge knot groups and their crossing numbersJun 15 2016Suppose that there exists an epimorphism from the knot group of a $2$-bridge knot $K$ onto that of another knot $K'$. In this paper, we study the relationship between their crossing numbers $c(K)$ and $c(K')$. Especially it is shown that $c(K)$ is greater ... More

Refined Counting of Necklaces in One-loop $\mathcal{N}=4$ SYMMar 16 2017Jun 06 2017We compute the grand partition function of $\mathcal{N}=4$ SYM at one-loop in the $SU(2)$ sector with general chemical potentials, extending the results of P\'olya's theorem. We make use of finite group theory, applicable to all orders of $1/N_c$ expansion. ... More

Contour deformation trick in hybrid NLIEFeb 17 2012Jun 15 2012The hybrid NLIE of AdS_5 x S^5 is applied to a wider class of states. We find that the Konishi state of the orbifold AdS_5 x (S^5/Z_S) satisfies A_1 NLIE with the source terms which are derived from contour deformation trick. For general states, we construct ... More

Giant Magnons on CP^3 by Dressing MethodFeb 19 2009May 18 2009We consider classical string spectrum of R x CP^3, and construct a family of solutions with residual SU(2) symmetry by the dressing method on SU(4)/U(3) sigma model. All of them obey the square-root type dispersion relation, as is expected from the su(2|2) ... More

Duality for cohomology of curves with coefficients in abelian varietiesMar 25 2018Jan 02 2019In this paper, we formulate and prove a duality for cohomology of curves over perfect fields of positive characteristic with coefficients in Neron models of abelian varieties. This is a global function field version of the author's previous work on local ... More

On error term estimates à la Walfisz for mean values of arithmetic functionsNov 06 2018Dec 12 2018Walfisz (1963) proved the asymptotic formula \[ \sum_{n\le x}\varphi(n) = \frac{3}{\pi^2}x^2+O(x(\log x)^{\frac{2}{3}}(\log\log x)^{\frac{4}{3}}), \] which improved the error term estimate of Mertens (1874) and had been the best possible estimate for ... More

On the sum of a prime power and a power in short intervalsJul 26 2018Dec 12 2018Let $R_{k,\ell}(N)$ be the representation function for the sum of the $k$-th power of a prime and the $\ell$-th power of a positive integer. Languasco and Zaccagnini (2017) proved an asymptotic formula for the average of $R_{1,2}(N)$ over short intervals ... More

Aging dynamics in reentrant ferromagnet: Cu$_{0.2}$Co$_{0.8}$Cl$_{2}$-FeCl$_{3}$ graphite bi-intercalation compoundJun 21 2004Aging dynamics of a reentrant ferromagnet Cu$_{0.2}$Co$_{0.8}$Cl$_{2}$-FeCl$_{3}$ graphite bi-intercalation compound has been studied using AC and DC magnetic susceptibility. This compound undergoes successive transitions at the transition temperatures ... More

An f-chromatic spanning forest of edge-colored complete bipartite graphsJun 13 2011In 2001, Brualdi and Hollingsworth proved that an edge-colored balanced complete bipartite graph Kn,n with a color set C = {1,2,3,..., 2n-1} has a heterochromatic spanning tree if the number of edges colored with colors in R is more than |R|^2 /4 for ... More

Convergence of Brownian motions on RCD(K,infty) spacesMar 29 2016Jan 26 2018Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '13) of X_n is equivalent to the weak convergence of the laws of Brownian ... More

Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension ConditionsMar 21 2017Jan 31 2018We show that the pointed measured Gromov convergence of the underlying spaces implies (or under some condition, is equivalent to) the weak convergence of Brownian motions under Riemannian Curvature-Dimension (RCD) conditions.

A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painleve systemMay 21 2011Jun 16 2014In this article, we propose a q-analogue of the Drinfeld-Sokolov hierarchy of type A. We also discuss its relationship with the q-Painleve VI equation and the q-hypergeometric function.

Birational superrigidity and K-stability of projectively normal Fano manifolds of index oneOct 17 2018In this paper, we prove that every projectively normal Fano manifold in $\mathbb{P}^{n+r}$ of index $1$, codimension $r$ and dimension $n\geq 10r$ is birationally superrigid and K-stable. This result was previously proved by Zhuang under the complete ... More

Higher order minimal families of rational curves and Fano manifolds with nef Chern charactersJun 30 2016Aug 31 2016In this paper, we investigate higher order minimal families $H_i$ of rational curves associated to Fano manifolds $X$. We prove that $H_i$ is also a Fano manifold if the Chern characters of $X$ satisfy some positivity conditions. We also provide a sufficient ... More

A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function ${}_{n+1}F_n$Apr 01 2010Oct 07 2010In a recent work, we proposed the coupled Painlev\'e VI system with $A^{(1)}_{2n+1}$-symmetry, which is a higher order generalization of the sixth Painlev\'e equation ($P_{\rm VI}$). In this article, we present its particular solution expressed in terms ... More

On amicable tuplesNov 18 2017For an integer $k\ge2$, a tuple of $k$ positive integers $(M_i)_{i=1}^{k}$ is called an amicable $k$-tuple if the equation \[ \sigma(M_1)=\cdots=\sigma(M_k)=M_1+\cdots+M_k \] holds. This is a generalization of amicable pairs. An amicable pair is a pair ... More

A Solution to Yamakami's Problem on Advised Context-free LanguagesFeb 02 2015Yamakami [2011, Theoret. Comput. Sci.] studies context-free languages with advice functions. Here, the length of an advice is assumed to be the same as that of an input. Let CFL and CFL/n denote the class of all context-free languages and that with advice ... More

On the Picard number of Fano 6-folds with a non-small contractionMar 22 2017A generalization of S. Mukai's conjecture says that if $X$ is a Fano $n$-fold with Picard number $\rho_X$ and pseudo-index $i_X$, then $\rho_X(i_X-1) \leq n$, with equality if and only if $X \cong (\mathbb{P}^{i_X-1})^{\rho_X}$. In this paper, we prove ... More

The Hannan-Quinn Proposition for Linear RegressionDec 20 2010We consider the variable selection problem in linear regression. Suppose that we have a set of random variables $X_1,...,X_m,Y,\epsilon$ such that $Y=\sum_{k\in \pi}\alpha_kX_k+\epsilon$ with $\pi\subseteq \{1,...,m\}$ and $\alpha_k\in {\mathbb R}$ unknown, ... More

Achievement of 35 MV/m in the Superconducting Nine-Cell Cavities for TESLAJan 27 2004Feb 23 2004The Tera Electronvolt Superconducting Linear Accelerator TESLA is the only linear electron-positron collider project based on superconductor technology for particle acceleration. In the first stage with 500 GeV center-of-mass energy an accelerating field ... More

All-Optical Switch and Transistor Gated by One Stored PhotonJan 14 2014The realization of an all-optical transistor where one 'gate' photon controls a 'source' light beam, is a long-standing goal in optics. By stopping a light pulse in an atomic ensemble contained inside an optical resonator, we realize a device in which ... More

Electrical transport and ferromagnetism in Ga1-xMnxAs synthesized by ion implantation and pulsed-laser meltingApr 10 2008We present a detailed investigation of the magnetic and magnetotransport properties of thin films of ferromagnetic Ga1-xMnxAs synthesized using ion implantation and pulsed-laser melting (II-PLM). The field and temperature-dependent magnetization, magnetic ... More

TraceDiff: Debugging Unexpected Code Behavior Using Trace DivergencesAug 12 2017Recent advances in program synthesis offer means to automatically debug student submissions and generate personalized feedback in massive programming classrooms. When automatically generating feedback for programming assignments, a key challenge is designing ... More

ShapeBots: Shape-changing Swarm RobotsSep 08 2019We introduce shape-changing swarm robots. A swarm of self-transformable robots can both individually and collectively change their configuration to display information, actuate objects, act as tangible controllers, visualize data, and provide physical ... More

Catastrophic Fermi surface reconstruction in the shape-memory alloy AuZnJan 06 2005AuZn undergoes a shape-memory transition at 67 K. The de Haas van Alphen effect persists to 100 K enabling the observation of a change in the quantum oscillation spectrum indicative of a catastrophic Fermi surface reconstruction at the transition. Coexistence ... More

Magnetic Ordering of CoCl_{2}-GIC: a Spin Ceramic -Hierarchical Successive Transitions and the Intermediate Glassy Phase-Sep 07 2006Stage-2 CoCl$_{2}$-GIC is a spin ceramic and shows hierarchical successive transitions at $T_{cu}$ (= 8.9 K) and $T_{cl}$ (= 7.0 K) from the paramagnetic phase into an intra-cluster (two-dimensional ferromagnetic) order with inter-cluster disorder and ... More

Spikes and diffusion waves in one-dimensional model of chemotaxisJul 30 2010We consider the one-dimensional initial value problem for the viscous transport equation with nonlocal velocity $u_t = u_{xx} - \left(u (K^\prime \ast u)\right)_{x}$ with a given kernel $K'\in L^1(\R)$. We show the existence of global-in-time nonnegative ... More

Some minimal elements for a partial order of prime knotsDec 10 2014A partial order on the set of prime knots can be defined by the existence of an epimorphism between knot groups. We prove that all the prime knots with up to $6$ crossings are minimal. We also show that each fibered knot with the irreducible Alexander ... More

Renormalization of Yang-Mills fields in the light-front without non-local termsMar 14 2003May 25 2011The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this happened because ... More

Duality theories for p-primary etale cohomology IIIOct 04 2018May 07 2019This paper is Part III of the series of work by the first named author on duality theories for p-primary etale cohomology, whose Parts I and II were published in 1986 and 1987, respectively. In this Part III, we study a duality for p-primary etale nearby ... More

Topology-changing horizons at large D as Ricci flowsMay 03 2019Jul 22 2019The topology-changing transition between black strings and black holes localized in a Kaluza-Klein circle is investigated in an expansion in the inverse of the number of dimensions D. Performing a new kind of large-D scaling reduces the problem to a Ricci ... More

Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$Jul 12 2018We give a characterization of all matrices $A,B,C \in \mathbb{F}_{2}^{m \times m}$ which generate a $(0,m,3)$-net in base $2$ and a characterization of all matrices $B,C\in\mathbb{F}_{2}^{\mathbb{N}\times\mathbb{N}}$ which generate a $(0,2)$-sequence ... More

Non-separability of the Lipschitz distanceDec 10 2014Mar 06 2015Let $X$ be a compact metric space and $\mathcal M_X$ be the set of isometry classes of compact metric spaces $Y$ such that the Lipschitz distance $d_L(X,Y)$ is finite. We show that $(\mathcal M_X, d_L)$ is not separable when $X$ is a closed interval, ... More

An easily verifiable proof of the Brouwer fixed point theoremSep 17 2011We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

Blow up analysis for Boltzmann-Poisson equation in Onsager's theory for point vortices with multi-intensitiesMar 03 2018In this paper we consider the minimizing sequence for some energy functional of an elliptic equation associated with the mean field limit of the point vortex distribution one-sided Borel probability measure. If such a sequence blows up, we derive some ... More

A New Symmetric Expression of Weyl OrderingApr 13 2003Feb 26 2004For the creation operator $\adag $ and the annihilation operator $a$ of a harmonic oscillator, we consider Weyl ordering expression of $(\adag a)^n$ and obtain a new symmetric expression of Weyl ordering w.r.t. $\adag a \equiv N$ and $a\adag =N+1$ where ... More

Rotating Wave Approximation of the Law's Effective Hamiltonian on the Dynamical Casimir EffectDec 07 2012May 08 2013In this paper we treat the Law's effective Hamiltonian of the Dynamical Casimir Effect in a cavity and construct an analytic approximate solution of the time-dependent Schr{\"o}dinger equation under the general setting through a kind of rotating wave ... More

Massless two-loop "master" and three-loop two point function in NDIMAug 18 2014NDIM (Negative Dimensional Integration Method) is a technique for evaluating Feynman integrals based on the concept of analytic continuation. The method has been successfully applied to many diagrams in covariant and noncovariant gauge field interactions ... More

Negative dimensional approach to evaluating real integralsJun 19 2008In solving the differential equation for a non damped harmonic oscillator one meets, after subjecting the equation to a Fourier transformation, an integration in the complex $\omega$ plane. In most cases such an integral is evaluated by calculating residues ... More

Analytic result for the one-loop massless triangle Feynman diagramJun 07 2007Aug 12 2008Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent hypergeometric functions $F_4$. In this paper I work out the diagram and show that that ... More

Evaluating residues and integrals through Negative Dimensional Integration Method (NDIM)Jul 15 2004The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based on the negative dimensional integration ... More

On Asymptotic Behaviors of Graph CNNs from Dynamical Systems PerspectiveMay 27 2019Graph Convolutional Neural Networks (graph CNNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up more layers and ... More

Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxesDec 16 2016For a positive integer $d$, the $d$-dimensional Chebyshev-Frolov lattice is the $\mathbb{Z}$-lattice in $\mathbb{R}^d$ generated by the Vandermonde matrix associated to the roots of the $d$-dimensional Chebyshev polynomial. It is important to enumerate ... More

Fano 3-folds of index 2Nov 28 2006We study Fano 3-folds with Fano index 2: that is, 3-folds X with rank Pic(X) = 1, Q-factorial terminal singularities and -K_X = 2A for an ample Weil divisor A. We give a first classification of all possible Hilbert series of such polarised varieties X,A ... More

A Clark-Ocone type formula via Ito calculus and its application to financeJun 16 2019An explicit martingale representation for random variables described as a functional of a Levy process will be given. The Clark-Ocone theorem shows that integrands appeared in a martingale representation are given by conditional expectations of Malliavin ... More

Equilibrium Points of an AND-OR Tree: under Constraints on ProbabilityJan 31 2014Mar 04 2015We study a probability distribution d on the truth assignments to a uniform binary AND-OR tree. Liu and Tanaka [2007, Inform. Process. Lett.] showed the following: If d achieves the equilibrium among independent distributions (ID) then d is an independent ... More

Indication of a strange tribaryon S^+ from the ^4He(stopped K^-,n) reactionOct 17 2003Nov 16 2004We measured the neutron time-of-flight spectrum in the ^4He(stopped K^-, n) reaction by stopping negative kaons in a superfluid helium target. A clear enhancement was observed in the neutron spectrum, which indicates the formation of a strange tribaryon ... More

Theory of Skyrmionic Diffusion: Hidden Diffusion Coeffcients and Breathing DiffusionJul 16 2019Time evolution of the position-velocity correlation functions (PVCF) plays a key role in a new formalism of Brownian motion. A system of differential equations, which governs PVCF, is derived for magnetic Skyrmions on a 2-dimensional magnetic thin film ... More

Rank-1 lattices and higher-order exponential splitting for the time-dependent Schrödinger equationMay 16 2019May 17 2019In this paper, we propose a numerical method to approximate the solution of the time-dependent Schr\"odinger equation with periodic boundary condition in a high-dimensional setting. We discretize space by using the Fourier pseudo-spectral method on rank-$1$ ... More

A search for deeply bound kaonic nuclear statesJan 18 2005We have measured proton and neutron energy spectra by stopping negative kaons on liquid helium4. Two distinct peak structures were found on both spectra, which were assigned to the formation of new kinds of strange stribaryons. In this paper, we summarize ... More

Phonon and Magnetic Excitations in Superconducting Ca$_{10}$Pt$_4$As$_8$(Fe$_{1-x}$Pt$_x$As)$_{10}$Apr 30 2015May 01 2015Inelastic neutron scattering studies have been carried out on selected phonons and magnetic excitations of a crystal of superconducting (SC) Ca$_{10}$Pt$_4$As$_8$(Fe$_{1-x}$Pt$_x$As)$_{10}$ with the onset transition temperature $T_{\rm c}^{\rm onset} ... More

Optimization Study for the Experimental Configuration of CMB-S4Feb 24 2017May 28 2017The CMB Stage 4 (CMB-S4) experiment is a next-generation, ground-based experiment that will measure the cosmic microwave background (CMB) polarization to unprecedented accuracy, probing the signature of inflation, the nature of cosmic neutrinos, relativistic ... More

Electric dipole response of $^6$He: Halo-neutron and core excitationsMay 24 2014Electric dipole ($E1$) response of $^{6}$He is studied with a fully microscopic six-body calculation. The wave functions for the ground and excited states are expressed as a superposition of explicitly correlated Gaussians (CG). Final state interactions ... More

Ribbon polymers in poor solvents: layering transitions in annular and tubular condensatesNov 04 2008Nov 05 2008We study the structures of a ribbon or ladder polymer immersed in poor solvents. The anisotropic bending rigidity coupled with the surface tension leads ribbon polymers to spontaneous formation of highly anisotropic condensates in poor solvents. Unlike ... More

Green's function method for strength function in three-body continuumDec 10 2009Feb 10 2010Practical methods to compute dipole strengths for a three-body system by using a discretized continuum are analyzed. New techniques involving Green's function are developed, either by correcting the tail of the approximate wave function in a direct calculation ... More

Coulomb corrected eikonal description of the breakup of halo nucleiOct 15 2008The eikonal description of breakup reactions diverges because of the Coulomb interaction between the projectile and the target. This divergence is due to the adiabatic, or sudden, approximation usually made, which is incompatible with the infinite range ... More

Finite temperature phase transition in lattice QCD with N_f=2 nonperturbatively improved Wilson fermions at N_t=8Jan 07 2003The finite temperature lattice QCD with N_f=2 nonperturbatively improved Wilson fermions is studied on 16^3 8 lattice. Using abelian projection after fixing to MA gauge we determine the transition temperature for m_{\pi}/m_{\rho} \sim 0.8.

Dynamics of solitons for nonlinear quantum walksAug 08 2018Feb 18 2019We present some numerical results for nonlinear quantum walks (NLQWs) studied by the authors analytically \cite{MSSSS18DCDS, MSSSS18QIP}. It was shown that if the nonlinearity is weak, then the long time behavior of NLQWs are approximated by linear quantum ... More

On nonlinear scattering for quantum walksNov 02 2017Nov 07 2017We study large time behavior of quantum walks (QW) with self-dependent coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak nonlinear regime. The proof is based on space-time estimate of (linear) ... More

Delayed versus accelerated quarkonium formation in a magnetic fieldOct 31 2016Sep 09 2017Formation time of heavy quarkonia in a homogeneous magnetic field is analyzed by using a phenomenological ansatz of the vector current correlator. Because the existence of a magnetic field mixes vector quarkonia ($J/\psi$, $\psi^\prime$) and their pseudoscalar ... More

Effects of Coulomb interaction on photon-assisted current noises through a quantum dotNov 13 2014We study photon-assisted transport in a single-level quantum dot system under a periodically oscillating field. Photon-assisted current noises in the presence of the Coulomb interaction are calculated based on a gauge-invariant formulation of time-dependent ... More

Some Exact Formulas on Long-Range Correlation Functions of the Rectangular Ising LatticeDec 18 2003Feb 25 2004We study long-range correlation functions of the rectangular Ising lattice with cyclic boundary conditions. Specifically, we consider the situation in which two spins are on the same column, and at least one spin is on or near free boundaries. The low-temperature ... More

A possible way to relate the "covariantization" and the negative dimensional integration methods in the light cone gaugeMay 02 2001Sep 26 2001In this work we present a possible way to relate the method of covariantizing the gauge dependent pole and the negative dimensional integration method for computing Feynman integrals pertinent to the light-cone gauge fields. Both techniques are applicable ... More

On the distribution of products of two primesAug 26 2019For a real parameter $r$, the RSA integers are integers which can be written as the product of two primes $pq$ with $p<q\leq rp$, which are named after the importance of products of two primes in the RSA-cryptography. Several authors obtained the asymptotic ... More

Coronae of Zero/Low-Metal Low-Mass StarsMar 25 2019Recent theoretical studies suggest the existence of low-mass zero-metal stars in the current universe. In order to study the basic properties of the atmosphere of low-mass first stars, we performed one dimensional magnetohydrodynamical simulations for ... More

A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fieldsDec 10 2018We give a reformulation of the Birch and Swinnerton-Dyer conjecture over global function fields in terms of Weil-etale cohomology of the curve with coefficients in the Neron model, and show that it holds under the assumption of finiteness of the Tate-Shafarevich ... More

An Automated Singularity-Capturing Scheme for Fractional Differential EquationsOct 26 2018Solutions to fractional models inherently exhibit non-smooth behavior, which significantly deteriorates the accuracy and therefore efficiency of existing numerical methods. We develop a two-stage data-infused computational framework for accurate time-integration ... More

Chemical evolution of the Galactic bulge as traced by microlensed dwarf and subgiant stars. II. Ages, metallicities, detailed elemental abundances, and connections to the Galactic thick discNov 26 2009Jan 06 2010The Bulge is the least understood major stellar population of the Milky Way. Most of what we know about the formation and evolution of the Bulge comes from bright giant stars. The underlying assumption that giants represent all the stars, and accurately ... More

The Composite Spectrum of BOSS Quasars Selected for Studies of the Lyman-alpha ForestMar 29 2016Apr 30 2016The Baryon Oscillation Spectroscopic Survey (BOSS) has collected more than 150,000 $2.1 \leq z \leq 3.5$ quasar spectra since 2009. Using this unprecedented sample, we create a composite spectrum in the rest-frame of 102,150 quasar spectra from 800 \AA\ ... More

Absolute Energy Calibration of X-ray TESs with 0.04 eV Uncertainty at 6.4 keV in a Hadron-Beam EnvironmentJan 13 2016A performance evaluation of superconducting transition-edge sensors (TESs) in the environment of a pion beam line at a particle accelerator is presented. Averaged across the 209 functioning sensors in the array, the achieved energy resolution is 5.2 eV ... More

$Λd$ correlations from the $^4$He(stopped-$K^-$,$d$) reactionSep 07 2007Dec 22 2007We have observed an intense high-energy component in an inclusive $^4$He(stopped $K^-$, $d$) spectrum. For back-to-back $\Lambda d$ pairs a prominent event cluster has been found just below the $m_{^4\textrm{He}}+m_{K^-}-m_{n}$ mass threshold in the $\Lambda ... More

Three- and four-nucleon absorption processes observed in the $K^-$-$^4$He reaction at restSep 26 2010Correlations of back-to-back coincident $\Lambda d$ and $\Lambda t$ pairs from the stopped $K^-$ reaction on $^4$He had been investigated, thereby $\Lambda d$ and $\Lambda t$ branches of non-mesonic three- and four-nucleon absorption processes of antikaon ... More

$ΛN$ correlations from the stopped $K^-$ reaction on ${}^4$HeNov 30 2007We have investigated correlations of coincident $\Lambda N$ pairs from the stopped $K^-$ reaction on ${}^4$He, and clearly observed $\Lambda p$ and $\Lambda n$ branches of the two-nucleon absorption process in the $\Lambda N$ invariant mass spectra. In ... More

Search for strange tribaryon states in the inclusive ^4He(K^{-}_{stopped}, p) reactionAug 22 2007A search for tribaryon states was performed at KEK-PS. We adopted the $^4$He($K^-_{stopped}, p)$ reaction to populate the states with strangeness -1, charge 0 and isospin 1. No significant narrow structure was observed in the mass region from 3000 to ... More

Search for a kaonic nuclear state via $^4$He$(K^-, N)$Jun 03 2007Very recently, we have performed a couple of experiments, {\it{KEK PS-E549/E570}}, for the detailed study of the strange tribaryon $S^0(3115)$ obtained in {\it{KEK PS-E471}}. These experiments were performed to accumulate much higher statistics with improved ... More

Is the Bohr's quantization hypothesis necessary ?Jun 06 2005Aug 23 2005We deduce the quantization of Bohr's hydrogen's atomic orbit without using his hypothesis of angular momentum quantization. We show that his hypothesis is nothing more than a consequence of the Planck's energy quantization.

Observed Effects of a Changing Step-Edge Density on Thin-Film Growth DynamicsAug 31 2004We grew SrTiO3 on SrTiO3 [001] by pulsed laser deposition, while observing x-ray diffraction at the (0 0 .5) position. The drop dI in the x-ray intensity following a laser pulse contains information about plume-surface interactions. Kinematic theory predicts ... More

MOA-2011-BLG-293Lb: A test of pure survey microlensing planet detectionsJan 04 2012Jul 03 2012Because of the development of large-format, wide-field cameras, microlensing surveys are now able to monitor millions of stars with sufficient cadence to detect planets. These new discoveries will span the full range of significance levels including planetary ... More