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Poisson kernel and Green function of the ball in real hyperbolic spacesDec 14 2005Let $(X_t)_{t\geq0}$ be the $n$-dimensional hyperbolic Brownian motion, that is the diffusion on the real hyperbolic space $\D^n$ having the Laplace-Beltrami operator as its generator. The aim of the paper is to derive the formulas for the Gegenbauer ... More

Hitting distributions of geometric Brownian motionMar 03 2005Let $\tau$ be the first hitting time of the point 1 by the geometric Brownian motion $X(t)= x \exp(B(t)-2\mu t)$ with drift $\mu \geq 0$ starting from $x>1$. Here $B(t)$ is the Brownian motion starting from 0 with $E^0 B^2(t) = 2t$. We provide an integral ... More

Hitting half-spaces by Bessel-Brownian diffusionsApr 11 2009The purpose of the paper is to find explicit formulas describing the joint distributions of the first hitting time and place for half-spaces of codimension one for a diffusion in $\R^{n+1}$, composed of one-dimensional Bessel process and independent n-dimensional ... More

Hitting distributions of planar Brownian motionMar 14 2019The purpose of the paper is to find the joint distribution of the hitting time and place of two-dimensional Brownian motion hitting the negative horizontal axis. We provide various formulas for Green functions as well as for the conditional distributions. ... More

Bessel Potentials, Hitting Distributions and Green FunctionsDec 07 2006The purpose of this paper is to find explicit formulas for basic objects pertaining the local potential theory of the operator $(I-\Delta)^{\alpha/2}$, $0<\alpha<2$. The potential theory of this operator is based on Bessel potentials $J_{\alpha}=(I-\Delta)^{-\alpha/2}$. ... More

Poisson kernels of half-spaces in real hyperbolic spacesMar 17 2005We provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kernel. Our starting point is the formula for its Fourier transform. When $n=3$, ... More

Hitting half-spaces or spheres by the Ornstein-Uhlenbeck type diffusionsSep 01 2011Nov 03 2011The purpose of the paper is to provide a general method for computing hitting distributions of some regular subsets D for Ornstein-Uhlenbeck type operators of the form 1/2\Delta + F\cdot\nabla, with F bounded and orthogonal to the boundary of D. As an ... More

Regularization inequalites for one-dimensional Cauchy-type measuresSep 21 2018In the paper we investigate various inequalities for the one-dimensional Cauchy measure. We also consider analogous properties for one-dimensional sections of multidimensional isotropic Cauchy measure. The paper is a continuation of our previous investigations ... More

Hitting times of Bessel processesSep 17 2010Jun 06 2011Let $T_1^{(\mu)}$ be the first hitting time of the point 1 by the Bessel process with index $\mu\in \R$ starting from $x>1$. Using an integral formula for the density $q_x^{(\mu)}(t)$ of $T_1^{(\mu)}$, obtained in Byczkowski, Ryznar (Studia Math., 173(1):19-38, ... More

Sharp estimates of Green function of hyperbolic Brownian MotionFeb 03 2015The main objective of the work is to provide sharp two-sided estimates of $\lambda$-Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtained by K. Bogus and J. Malecki [3], regarding precise estimates of ... More

Lattice QCD study of $g_A^{N^*N^*}$ with two flavors of dynamical quarksNov 13 2007We report the first lattice QCD result of the axial charge of N(1535), $g_A^{N^*N^*}$. The measurement is performed with two flavors of dynamical quarks employing the renormalization-group improved gauge action at $\beta$=1.95 and the mean-field improved ... More

Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac linesApr 21 2016Jun 27 2016Three-dimensional topological semimetals come in different variants, either containing Weyl points or Dirac lines. Here we describe a more complicated momentum-space topological defect where several separate Dirac lines connect with each other, forming ... More

Quantum transitions induced by the third cumulant of current fluctuationsJun 23 2005Oct 14 2005We investigate the transitions induced by external current fluctuations on a small probe quantum system. The rates for the transitions between the energy states are calculated using the real-time Keldysh formalism for the density matrix evolution. We ... More

Topological stability of Majorana zero-modes in superconductor-topological insulator systemsNov 13 2009Jan 29 2010We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more generic models ... More

Discovery of a Faint Old Stellar System at 150 kpcOct 29 2006We report the detection of a faint old stellar system at $(\alpha,\delta)=(194.29^\circ,~34.32^\circ)$ (SDSS J1257+3419), based on the spatial distribution of bright red-giant branch stars in the Sloan Digital Sky Survey Data Release 4. SDSS J1257+3419 ... More

Varying Cu-Ti hybridization near the Fermi energy in Cu$_{x}$TiSe$_{2}$: Results from supercell calculationsDec 05 2006The properties of Cu$_{x}$TiSe$_{2}$ are studied by band structure calculation based on the density functional theory for supercells. The density-of-states (DOS) for $x$=0 has a sharply raising shoulder in the neighborhood of the Fermi energy, $E_F$, ... More

Deeply-bound $K^- pp$ state in the $^3$He(in-flight $K^-$, $n$) spectrum and its moving pole near the $πΣN$ thresholdJun 19 2009Nov 06 2009The formation of a deeply-bound $K^- pp$ state with $I=1/2$, $J^\pi=0^-$ by the $^3$He(in-flight $K^-$, $n$) reaction is theoretically investigated in a distorted-wave impulse approximation using the Green's function method. The expected inclusive and ... More

A Calculation on the Self-field of a Point Charge and the Unruh EffectNov 01 1999Jul 24 2000Within the context of quantum field theory in curved spacetimes, Hacyan and Sarmiento defined the vacuum stress-energy tensor with respect to the accelerated observer. They calculated it for uniform acceleration and circular motion, and derived that the ... More

A Framework to Prevent QR Code Based Phishing AttacksJan 30 2016Though the rapid development and spread of Information and Communication Technology (ICT) making people's life much more easier, on the other hand it causing some serious threats to the society. Phishing is one of the most common cyber threat, that most ... More

Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary TopologyJul 30 1996Aug 13 1997All global solutions of arbitrary topology of the most general 1+1 dimensional dilaton gravity models are obtained. We show that for a generic model there are globally smooth solutions on any non-compact 2-surface. The solution space is parametrized explicitly ... More

Precritical Chiral Fluctuations in NucleiJan 11 1999Spectral enhancement near 2 m_{\pi} threshold in the I=J=0 channel in nuclei is shown to be a distinct signal of the partial restoration of chiral symmetry. The relevance of this phenomenon with possible detection of 2\pi^{0} and 2\gamma in hadron-nucleus ... More

Computing nonlinear force free coronal magnetic fieldsJan 21 2008Knowledge of the structure of the coronal magnetic field is important for our understanding of many solar activity phenomena, e.g. flares and CMEs. However, the direct measurement of coronal magnetic fields is not possible with present methods, and therefore ... More

Cochlear-bone wave can yield a hearing sensation as well as otoacoustic emissionAug 10 2014A hearing sensation arises when the elastic basilar membrane inside the cochlea vibrates. The basilar membrane is typically set into motion through airborne sound that displaces the middle ear and induces a pressure difference across the membrane. A second, ... More

Non-empirical nuclear energy functionals, pairing gaps and odd-even mass differencesJul 06 2009First, we briefly outline some aspects of the starting project to design non-empirical energy functionals based on low-momentum vacuum interactions and many-body perturbation theory. Second, we present results obtained within an approximation of such ... More

Non-empirical pairing functionalNov 27 2007Dec 07 2007The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the effects of Coulomb ... More

A Solution to the Polonyi Problem in the Minimum SUSY-GUTMar 16 1994We show that the Polonyi problem is solved in the minimum SUSY-GUT model in which a self-coupling strength for a heavy Higgs $\Sigma$, $\lambda\Sigma^{3}$, is very small $\lambda\sim 10^{-6}$. It is stressed that with this small $\lambda$ the mass of ... More

Spin physics in deep inelastic scattering: SummaryFeb 02 1999The problem of our understanding of the spin structure of the nucleon has been with us since the publication of the EMC measurements of the polarised structure function of the proton in 1987. In this talk a review of the results presented in Working Group ... More

Strong-coupling effects in the relaxation dynamics of ultracold neutral plasmasMar 01 2005We describe a hybrid molecular dynamics approach for the description of ultracold neutral plasmas, based on an adiabatic treatment of the electron gas and a full molecular dynamics simulation of the ions, which allows us to follow the long-time evolution ... More

Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensionsSep 09 2016We rederive the spectral asymmetry of the Wilson-Dirac model in external fields, paying attention to the Chern number due to the Berry connection. We interpret the smooth part of the spectral asymmetry as the Streda formula which is originally derived ... More

Towards a Generic Parametrisation of "New Physics" in Quark-Flavour MixingJun 05 2003We consider a special class of dimension-six operators which are assumed to be induced by some new physics with typical scales of order \Lambda. This special class are the operators with two quarks which can mediate transitions between quark flavours. ... More

Lie algebras and degenerate Affine Hecke Algebras of type AOct 30 1997Apr 21 1998We construct a family of exact functors from the BGG category of representations of the Lie algebra sl to the category of finite-dimensional representations of the degenerate (or graded) affine Hecke algebra H of GL. These functors transform Verma modules ... More

Comment on a Paper by Kuo, Parusinski and Paunescu On Jacobian ConjectureDec 22 2005The said paper entitled "A Proof Of The Plane Jacobian Conjecture" is not true.

Comment on a Paper by Yucai Su On Jacobian Conjecture (Dec 30, 2005Apr 03 2006The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.

The additivity of the pseudo-additive conditional entropy for a proper Tsallis' entropic indexOct 02 2001For Tsallis' entropic analysis to the time evolutions of standard logistic map at the Feigenbaum critical point, it is known that there exists a unique value $q^*$ of the entropic index such that the asymptotic rate $K_q \equiv \lim_{t \to \infty} \{S_q(t)-S_q(0)\} ... More

Anisotropy of Low Energy Direct Photons in Relativistic Heavy Ion CollisionsMay 17 2016Jul 19 2016We investigate the behavior of low energy photons radiated by the deceleration processes of two colliding nuclei in relativistic heavy ion collisions using the Wigner function approach for electromagnetic radiation fields. The angular distribution reveals ... More

The Configuration Space of Low-dimensional Yang-Mills TheoriesJan 26 1998We discuss the construction of the physical configuration space for Yang-Mills quantum mechanics and Yang-Mills theory on a cylinder. We explicitly eliminate the redundant degrees of freedom by either fixing a gauge or introducing gauge invariant variables. ... More

A Global View of Kinks in 1+1 GravityJul 25 1997Following Finkelstein and Misner, kinks are non-trivial field configurations of a field theory, and different kink-numbers correspond to different disconnected components of the space of allowed field configurations for a given topology of the base manifold. ... More

Complete Classification of 1+1 Gravity SolutionsNov 25 1997A classification of the maximally extended solutions for 1+1 gravity models (comprising e.g. generalized dilaton gravity as well as models with non-trivial torsion) is presented. No restrictions are placed on the topology of the arising solutions, and ... More

The $σ$-meson and $π$-$π$ Correlation in Hot/Dense Medium: soft modes for chiral transition in QCDDec 11 2001After a brief overview of the realization of chiral symmetry in hot and/or dense medium, the implications of the existence of a light scalar-isoscalar meson (which we call $\sigma$ throughout this report) are discussed in the vacuum and in the medium. ... More

Geometric Origin of Large Lepton Mixing in a Higher Dimensional SpacetimeMay 09 2002Aug 02 2002The large mixing in the lepton sector observed in the recent neutrino-oscillation experiments strongly suggest that nature of left-handed lepton doublets is very different from that of left-handed quark doublets. This means that there is a big disparity ... More

Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and LeptonsJan 11 2002May 09 2002In a (0,1) supersymmetric (SUSY) six-dimensional gauge theory, a gauge fermion gives rise to box anomalies. These anomalies are completely canceled by assuming a vector multiplet of (1,1) SUSY. With a T^2/Z_3 orbifold compactification of the extra two ... More

N = 2 Supersymmetry in a Hybrid Inflation ModelNov 30 2000The slow roll inflation requires an extremely flat inflaton potential. The supersymmetry (SUSY) is not only motivated from the gauge hierarchy problem, but also from stabilizing that flatness of the inflaton potential against radiative corrections. However, ... More

Polarized light flavor sea-quark asymmetry in polarized semi-inclusive processesMay 11 1999Oct 08 1999We propose new formulas for extracting a difference of the polarized light sea-quark density, $\Delta\bar d(x)-\Delta\bar u(x)$, from polarized deep-inelastic semi-inclusive data. We have estimated the value of it from the present experimental data measured ... More

Z$_2$ index theorem for Majorana zero modes in a class D topological superconductorSep 14 2010Oct 28 2010We propose a Z$_2$ index theorem for a generic topological superconductor in class D. Introducing a particle-hole symmetry breaking term depending on a parameter and regarding it as a coordinate of an extra dimension, we define the index of the zero modes ... More

Non-Central Limit Theorem for Quadratic Functionals of Hermite-Driven Long Memory Moving Average ProcessesJul 27 2016Let $(Z_t^{(q, H)})_{t \geq 0}$ denote a Hermite process of order $q \geq 1$ and self-similarity parameter $H \in (\frac{1}{2}, 1)$. Consider the Hermite-driven moving average process $$X_t^{(q, H)} = \int_0^t x(t-u) dZ^{(q, H)}(u), \qquad t \geq 0.$$ ... More

Simulation Study of Solar Plasma Eruptions Caused by Interactions between Emerging Flux and Coronal Arcade FieldsOct 01 2014We investigate the triggering mechanisms of plasma eruptions in the solar atmosphere due to interactions between emerging flux and coronal arcade fields by using two-dimensional MHD simulations. We perform parameter surveys with respect to arcade field ... More

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limitNov 30 2009We study the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_t+6uu_x+\epsilon^{2}u_{xxx}=0$ in a critical scaling regime where $x$ approaches the trailing edge of the region where the KdV solution shows oscillatory behavior. Using the ... More

Painleve II asymptotics near the leading edge of the oscillatory zone for the Korteweg-de Vries equation in the small dispersion limitDec 22 2008In the small dispersion limit, solutions to the Korteweg-de Vries equation develop an interval of fast oscillations after a certain time. We obtain a universal asymptotic expansion for the Korteweg-de Vries solution near the leading edge of the oscillatory ... More

Relativistic generalization of Brownian MotionOct 10 2007The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution ... More

Theory of Stochastic Shock Drift Acceleration for Electrons in the Shock Transition RegionMar 06 2019We propose a novel electron acceleration mechanism, which we call stochastic shock drift acceleration (SSDA), that extends the standard shock drift acceleration (SDA) for low-energy electrons at a quasi-perpendicular shock to include the effect of stochastic ... More

Orthogonal polynomials in several non-commuting variables. IIDec 29 2004In this paper we continue to investigate a certain class of Hankel-like positive definite kernels using their associated orthogonal polynomials. The main result of this paper is about the structure of this kind of kernels.

Supersymmetric Grand Unification Model with the Orbifold Symmetry Breaking in the Six Dimensional SupergravityAug 19 2001We construct supersymmetric (SUSY) grand unification (GUT) models in the six dimensional space-time where the GUT symmetry is broken down to the standard-model gauge group by a simple orbifolding T^2/Z_4 or T^2/Z_6 and a pair of massless Higgs doublets ... More

Semi-Simple Unification on T^6/Z_12 Orientifold in the Type IIB SupergravityAug 06 2001The semi-simple unification model based on SU(5)_GUT \times U(3)_H gauge group is an interesting extension of the minimal SU(5)_GUT grand unification theory (GUT), since it solves the two serious problems in the standard GUT: the triplet-doublet splitting ... More

Small Violation of Universal Yukawa Coupling and Neutrino Large MixingSep 15 2000We assume the universal Yukawa coupling (democratic mass matrix) with small violations for quarks, charged leptons and neutrinos masses. We could reproduce the mass hierarchy for quark masses and V_{CKM} matrix elements precisely. We adopt the see-saw ... More

Dynamics of a tagged particle in the asymmetric exclusion process with the step initial conditionFeb 02 2007Jul 06 2007The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial condition. Calculated is the multi-time joint distribution function of ... More

Polynuclear growth model, GOE$^2$ and random matrix with deterministic sourceNov 17 2004We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources. It is shown that the distribution, GOE$^2$, which is defined as the square ... More

Fluctuations of a one-dimensional polynuclear growth model in a half spaceJul 01 2003We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a determinantal process, ... More

Quark beta decay in an inhomogeneous chiral phase and cooling of hybrid starsSep 28 2012We discuss the cooling of hybrid stars by considering the neutrino emission from quark matter. As a current topic the appearance of various inhomogeneous chiral phases have been studied near the chiral transition. Here we consider the dual-chiral-density-wave ... More

Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensionsSep 09 2016Nov 29 2016We rederive the spectral asymmetry of the Wilson-Dirac model in external fields, paying attention to the Chern number due to the Berry connection. We interpret the smooth part of the spectral asymmetry as the Streda formula that is originally derived ... More

Intelligent Unmanned Explorer for Deep Space ExplorationApr 30 2008asteroids or comets have received remarkable attention in the world. In small body explorations, especially, detailed in-situ surface exploration by tiny rover is one of effective and fruitful means and is expected to make strong contributions towards ... More

Novel Effect Induced by Spacetime Curvature in Quantum HydrodynamicsNov 02 2018Apr 26 2019The interplay between quantum fluctuation and spacetime curvature is shown to induce an additional quantum-curvature (QC) term in the energy-momentum tensor of fluid using the generalized framework of the stochastic variational method (SVM). The QC term ... More

Transport Coefficients of Non-Newtonian Fluid and Causal Dissipative HydrodynamicsJun 23 2008Oct 20 2008A new formula to calculate the transport coefficients of the causal dissipative hydrodynamics is derived by using the projection operator method (Mori-Zwanzig formalism) in [T. Koide, Phys. Rev. E75, 060103(R) (2007)]. This is an extension of the Green-Kubo-Nakano ... More

Variational Principle of Hydrodynamics and Quantization by Stochastic ProcessDec 19 2014Jan 05 2015The well-known hydrodynamical representation of the Schr\"{o}dinger equation is reformulated by extending the idea of Nelson-Yasue's stochastic variational method. The fluid flow is composed by the two stochastic processes from the past and the future, ... More

Thermodynamic Laws and Equipartition Theorem in Relativistic Brownian MotionFeb 16 2011Apr 27 2011We extend the stochastic energetics to a relativistic system. The thermodynamic laws and equipartition theorem are discussed for a relativistic Brownian particle and the first and the second law of thermodynamics in this formalism are derived. The relation ... More

Lattice QCD Study of the Pentaquark BaryonsOct 19 2004Oct 25 2004We study the spin $\frac12$ hadronic state in quenched lattice QCD to search for a possible $S=+1$ pentaquark resonance. Simulations are carried out on $8^3\times 24$, $10^3\times 24$, $12^3\times 24$ and $16^3\times 24$ lattices at $\beta$=5.7 at the ... More

Explicit Global Coordinates for Schwarzschild and Reissner-NordstroemJul 05 1995Mar 16 1996We construct coordinate systems that cover all of the Reissner-Nordstroem solution with m>|q| and m=|q|, respectively. This is possible by means of elementary analytical functions. The limit of vanishing charge q provides an alternative to Kruskal which, ... More

Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying ApproachAug 08 1995Aug 11 1997We provide a concise approach to generalized dilaton theories with and without torsion and coupling to Yang-Mills fields. Transformations on the space of fields are used to trivialize the field equations locally. In this way their solution becomes accessible ... More

QCD Phenomenology based on a Chiral Effective LagrangianJan 23 1994We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of hadrons, flavor mixing ... More

Perturbative calculation of the spin-wave dispersion in a disordered double-exchange modelJun 05 2004We study the spin-wave dispersion of localized spins in a disordered double-exchange model using the perturbation theory with respect to the strength of the disorder potential. We calculate the dispersion upto the next-leading order, and extensively examine ... More

A Solution to the Doublet-Triplet Splitting Problem in the Type IIB SupergravityAug 11 2002The doublet--triplet mass splitting problem is one of the most serious problems in supersymmetric grand unified theories (GUTs). A class of models based on a product gauge group, such as the SU(5)_{GUT} times U(3)_H or the SU(5)_{GUT} times U(2)_H, realize ... More

Correlation function of the Schur process with a fixed final partitionApr 25 2008May 08 2008We consider a generalization of the Schur process in which a partition evolves from the empty partition into an arbitrary fixed final partition. We obtain a double integral representation of the correlation kernel. For a special final partition with only ... More

Fluctuations of the one-dimensional polynuclear growth model with external sourcesJun 01 2004The one-dimensional polynuclear growth model with external sources at edges is studied. The height fluctuation at the origin is known to be given by either the Gaussian, the GUE Tracy-Widom distribution, or certain distributions called GOE$^2$ and $F_0$, ... More

Solving the Gravitino Problem by AxinoJun 19 2000Oct 11 2000In a large class of supersymmetric (SUSY) axion model the mass of axino $\axino$ (a fermionic superpartner of the axion) is predicted as $m_{\axino} \lesssim {\cal O}(1)$ keV. Thus, the axino is the lightest SUSY particle (LSP). We pointed out that such ... More

Semiclassical ionization dynamics of the hydrogen molecular ion in an electric field of arbitrary orientationOct 12 2004Quasi-static models of barrier suppression have played a major role in our understanding of the ionization of atoms and molecules in strong laser fields. Despite their success, in the case of diatomic molecules these studies have so far been restricted ... More

Analysis of atmospheric neutrino oscillations in three-flavor neutrinosMar 06 2000We analyze the atmospheric neutrino experiments of Super-Kamiokande (830-920 live days) using the three-flavor neutrino framework with the mass hierarchy m_1 nearly equal m_2 << m_3. We study the sub-GeV, multi- GeV neutrinos and upward through-going ... More

Atmospheric neutrino oscillations in three-flavor neutrinosMay 20 1998We analyzed the atmospheric neutrino experiments of SuperKamiokande including zenith angle dependence's using the three-flavor neutrino framework with the hierarchy m^2_1 \approx m^2_2<<m^2_3. Taking into account the terrestrial, solar neutrino experimental ... More

Numerical Study of a Propagating Non-Thermal Microwave Feature in a Solar Flare LoopJun 02 2008Jun 24 2008We analytically and numerically study the motion of electrons along a magnetic loop, to compare with the observation of the propagating feature of the non-thermal microwave source in the 1999 August 28 solar flare reported by Yokoyama et al. (2002). We ... More

Stochastic Variational Method as Quantization Scheme I: Hamiltonian Form and Uncertainty RelationAug 01 2012Oct 07 2013Stochastic Variational Method (SVM) is the generalization of the variation method to the case with stochastic variables. In this series of papers, we investigate the applicability of SVM as an alternative quantization scheme. In Part I, we discuss the ... More

Asymptotic behavior for quadratic variations of non-Gaussian multiparameter Hermite random fieldsNov 11 2016Let $(Z^{q, H}_t)_{t \in [0, 1]^d}$ denote a $d$-parameter Hermite random field of order $q \geq 1$ and self-similarity parameter $H = (H_1, \ldots, H_d) \in (\frac{1}{2}, 1)^d$. This process is $H$-self-similar, has stationary increments and exhibits ... More

Isospin Properties of ($K^-$, $N$) Reactions for the Formation of Deeply-bound Antikaonic NucleiFeb 01 2008Mar 31 2008The formation of deeply-bound antikaonic $K^-/\bar{K}^0$ nuclear states by nuclear ($K^-$, $N$) reactions is investigated theoretically within a distorted-wave impulse approximation (DWIA), considering the isospin properties of the Fermi-averaged $K^-+ ... More

Calculation of the $^3$He(in-flight $K^-$,$n$) reaction for searching the deeply-bound $K^-pp$ stateMar 13 2007Jul 24 2007The formation of a deeply-bound $K^-pp$ state by the $^3$He(in-flight $K^-$,$n$) reaction is investigated theoretically in the distorted-wave impulse approximation using the Green's function method. The expected inclusive and semi-exclusive spectra at ... More

Broadband lasers for photo-ionization and repumping of trapped ionsJan 24 2019A frequency-stable, broadband laser is presented for experiments on trapped ions. Since the design is based on widely available semiconductor optical amplifier technology, similar lasers can be realized for virtually any wavelength in the near-infrared, ... More

The KdV hierarchy: universality and a Painleve transcendentJan 13 2011We study the Cauchy problem for the Korteweg-de Vries (KdV) hierarchy in the small dispersion limit where $\e\to 0$. For negative analytic initial data with a single negative hump, we prove that for small times, the solution is approximated by the solution ... More

Generalization of Uncertainty Relation for Quantum and Stochastic SystemsAug 01 2012Apr 04 2018The generalized uncertainty relation applicable to quantum and stochastic systems is derived within the stochastic variational method. This relation not only reproduces the well-known inequality in quantum mechanics but also is applicable to the Gross-Pitaevskii ... More

Navier-Stokes, Gross-Pitaevskii and Generalized Diffusion Equations using Stochastic Variational MethodJul 31 2011Aug 24 2011The stochastic variational method is applied to particle systems and continuum mediums. As the brief review of this method, we first discuss the application to particle Lagrangians and derive a diffusion-type equation and the Schr\"{o}dinger equation ... More

Statistical Mechanics for States with Complex Eigenvalues and Quasi-stable Semiclassical SystemsMay 15 2000Statistical mechanics for states with complex eigenvalues, which are described by Gel'fand triplet and represent unstable states like resonances, are discussed on the basis of principle of equal ${\it a priori}$ probability. A new entropy corresponding ... More

Non-Central Limit Theorem for Quadratic Functionals of Hermite-Driven Long Memory Moving Average ProcessesJul 27 2016May 18 2017Let $(Z_t^{(q, H)})_{t \geq 0}$ denote a Hermite process of order $q \geq 1$ and self-similarity parameter $H \in (\frac{1}{2}, 1)$. Consider the Hermite-driven moving average process $$X_t^{(q, H)} = \int_0^t x(t-u) dZ^{(q, H)}(u), \qquad t \geq 0.$$ ... More

Dynamically equivalent ΛCDM equations with underlying Bianchi Type geometryMar 18 2019Solutions have been found for gravity coupled to electromagnetic field and a set of charged and uncharged perfect fluids for Bianchi Types VI_{(-1)}, VIII, IX, under the primary assumption of the existence of a conformal Killing vector field. The electromagnetic ... More

Optimized Perturbation Theory for Wave Functions of Quantum SystemsDec 10 1996The notion of the optimized perturbation, which has been successfully applied to energy eigenvalues, is generalized to treat wave functions of quantum systems. The key ingredient is to construct an envelope of a set of perturbative wave functions. This ... More

Diffractive Interaction and Scaling Violation in pp->pi^0 Interaction and GeV Excess in Galactic Diffuse Gamma-Ray Spectrum of EGRETOct 26 2004Jan 21 2005We present here a new calculation of the gamma-ray spectrum from pp->pi^0 in the Galactic ridge environment. The calculation includes the diffractive pp interaction and incorporates the Feynman scaling violation for the first time. Galactic diffuse gamma-rays ... More

Possible Excess in Charged Current Events with High-Q^2 at HERA from Stop and Sbottom ProductionJul 16 1997We investigate a production process $e^+p \to \st X \to \sb W^+ X$ at HERA, where we consider a decay mode $\sb \to \bar{\nu}_e d$ of the sbottom in the framework of an R-parity breaking supersymmetric standard model. Both processes of the stop production ... More

Stau-catalyzed Nuclear FusionJul 24 2006Oct 06 2006We point out that the stau may play a role of a catalyst for nuclear fusions if the stau is a long-lived particle as in the scenario of gravitino dark matter. In this letter, we consider d d fusion under the influence of stau where the fusion is enhanced ... More

The microscopic spectrum of the QCD Dirac operator with finite quark massesNov 10 1997Apr 30 1998We compute the microscopic spectrum of the QCD Dirac operator in the presence of dynamical fermions in the framework of random-matrix theory for the chiral Gaussian unitary ensemble. We obtain results for the microscopic spectral correlators, the microscopic ... More

Decoherence alias Loschmidt echo of the environmentMay 03 2004Entanglement between a quantum system and its environment leads to loss of coherence in the former. In general, the temporal fate of coherences is complicated. Here, we establish the connection between decoherence of a central system and fidelity decay ... More

Classical Open-String Field Theory ; $A_{\infty}$-Algebra, Renormalization Group and Boundary StatesMay 28 2001Dec 03 2002We investigate classical bosonic open-string field theory from the perspective of the Wilson renormalization group of world-sheet theory. The microscopic action is identified with Witten's covariant cubic action and the short-distance cut-off scale is ... More

Linear Collider Physics Resource Book for Snowmass 2001 - Part 1: IntroductionJun 13 2001This Resource Book reviews the physics opportunities of a next-generation e+e- linear collider and discusses options for the experimental program. Part 1 contains the table of contents and introduction and gives a summary of the case for a 500 GeV linear ... More

CHARM2010: Theory SummaryDec 31 2010This invited summary gives some concluding remarks regarding theoretical aspects of the research presented at Charm2010. I will specialize to the role of theory and the relative reach of theory and experiment in three of the major areas of charm physics ... More

Hadron-Hadron Scattering in the Nonrelativistic Quark ModelNov 20 2001In this HADRON2001 contribution we summarize the status of our quark-model calculations of hadron-hadron scattering amplitudes in annihilation-free channels. The predictions are in reasonably good agreement with experimentally known S-wave meson-meson ... More

QCD Spectroscopy at Gsi: Exotica and CharmoniaMar 13 2001In this talk I give a short summary of the basics of conventional and exotic meson spectroscopy, and consider in particular those issues in the charmonium and charmonium hybrid sectors which can be addressed by a future antiproton facility at GSI.

Hybrid Baryons, a brief reviewSep 05 2000This contribution is a brief review of the status of hybrid baryons, which are hypothetical baryons that incorporate a gluonic excitation. We first summarize the status of hybrid mesons, since this closely related topic has seen considerable recent activity ... More