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Locally Connected Spiking Neural Networks for Unsupervised Feature LearningApr 12 2019In recent years, Spiking Neural Networks (SNNs) have demonstrated great successes in completing various Machine Learning tasks. We introduce a method for learning image features by \textit{locally connected layers} in SNNs using spike-timing-dependent ... More

STDP Learning of Image Patches with Convolutional Spiking Neural NetworksAug 24 2018Spiking neural networks are motivated from principles of neural systems and may possess unexplored advantages in the context of machine learning. A class of \textit{convolutional spiking neural networks} is introduced, trained to detect image features ... More

Probabilistic analysis of the phase space flow for linear programmingOct 31 2001Feb 24 2004The phase space flow of a dynamical system leading to the solution of Linear Programming (LP) problems is explored as an example of complexity analysis in an analog computation framework. An ensemble of LP problems with $n$ variables and $m$ constraints ... More

Error Forward-Propagation: Reusing Feedforward Connections to Propagate Errors in Deep LearningAug 09 2018We introduce Error Forward-Propagation, a biologically plausible mechanism to propagate error feedback forward through the network. Architectural constraints on connectivity are virtually eliminated for error feedback in the brain; systematic backward ... More

Insulin Regimen ML-based control for T2DM patientsOct 21 2017\begin{abstract} We model individual T2DM patient blood glucose level (BGL) by stochastic process with discrete number of states mainly but not solely governed by medication regimen (e.g. insulin injections). BGL states change otherwise according to various ... More

Probabilistic analysis of a differential equation for linear programmingOct 29 2001Apr 07 2003In this paper we address the complexity of solving linear programming problems with a set of differential equations that converge to a fixed point that represents the optimal solution. Assuming a probabilistic model, where the inputs are i.i.d. Gaussian ... More

BindsNET: A machine learning-oriented spiking neural networks library in PythonJun 04 2018Dec 10 2018The development of spiking neural network simulation software is a critical component enabling the modeling of neural systems and the development of biologically inspired algorithms. Existing software frameworks support a wide range of neural functionality, ... More

Unsupervised Learning with Self-Organizing Spiking Neural NetworksJul 24 2018We present a system comprising a hybridization of self-organized map (SOM) properties with spiking neural networks (SNNs) that retain many of the features of SOMs. Networks are trained in an unsupervised manner to learn a self-organized lattice of filters ... More

Improved robustness of reinforcement learning policies upon conversion to spiking neuronal network platforms applied to ATARI gamesMar 26 2019Various implementations of Deep Reinforcement Learning (RL) demonstrated excellent performance on tasks that can be solved by trained policy, but they are not without drawbacks. Deep RL suffers from high sensitivity to noisy and missing input and adversarial ... More

Coset enumeration strategiesJun 15 1994A primary reference on computer implementation of coset enumeration procedures is a 1973 paper of Cannon, Dimino, Havas and Watson. Programs and techniques described there are updated in this paper. Improved coset definition strategies, space saving techniques ... More

Applications of substring searching to group presentationsJun 15 1994An important way for describing groups is by finite presentations. Large presentations arise in practice which are poorly suited for either human or computer use. Presentation simplification processes which take bad presentations and produce good presentations ... More

Algorithms for groupsJun 15 1994Group theory is a particularly fertile field for the design of practical algorithms. Algorithms have been developed across the various branches of the subject and they find wide application. Because of its relative maturity, computational group theory ... More

Applications of computational tools for finitely presented groupsJun 15 1994Computer based techniques for recognizing finitely presented groups are quite powerful. Tools available for this purpose are outlined. They are available both in stand-alone programs and in more comprehensive systems. A general computational approach ... More

A new problem in string searchingJun 15 1994We describe a substring search problem that arises in group presentation simplification processes. We suggest a two-level searching model: skip and match levels. We give two timestamp algorithms which skip searching parts of the text where there are no ... More

An asymptotically sharp form of Ball's integral inequalityAug 27 2017We solve the open problem of determining the second order term in the asymptotic expansion of the integral in Ball's integral inequality. In fact, we provide a method by which one can compute any term in the expansion. We also indicate how to derive an ... More

Recognizing badly presented Z-modulesJun 15 1994Finitely generated Z-modules have canonical decompositions. When such modules are given in a finitely presented form there is a classical algorithm for computing a canonical decomposition. This is the algorithm for computing the Smith normal form of an ... More

Giesbrecht's algorithm, the HFE cryptosystem and Ore's $p^s$-polynomialsNov 14 2016We report on a recent implementation of Giesbrecht's algorithm for factoring polynomials in a skew-polynomial ring. We also discuss the equivalence between factoring polynomials in a skew-polynomial ring and decomposing $p^s$-polynomials over a finite ... More

On probabilistic analog automataApr 29 2003Apr 30 2003We consider probabilistic automata on a general state space and study their computational power. The model is based on the concept of language recognition by probabilistic automata due to Rabin and models of analog computation in a noisy environment suggested ... More

Effects of vibrational anharmonicity on molecular electronic conduction and thermoelectric efficiencyMay 09 2016We study inelastic vibration-assisted charge transfer effects in two-site molecular junctions, focusing on signatures of vibrational anharmonicity on the electrical characteristics and the thermoelectric response of the junction. We consider three types ... More

New resonant cavity-enhanced absorber structures for mid-infrared detector applicationApr 01 2012A new dielectric Fabry-Perot cavity was designed for a resonant enhancing optical absorption by a thin absorber layer embedded into the cavity. In this cavity, the front mirror is a subwavelength grating with $\sim 100$% retroreflection. For a HgCdTe ... 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

Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal CoveringsNov 30 1995Apr 26 1996A set of simple rules for constructing the maximal (e.g. analytic) extensions for any metric with a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of these rules is extremely straightforward, as is demonstrated ... More

Pre-critical Chiral Fluctuations in Nuclear Medium -- precursors of chiral restoration at $ρ_{B}\not=0 --Feb 10 1999Feb 26 1999It is shown that an enhancement in the spectral function near 2$m_{\pi}$ threshold in the I=J=0 channel is a good signal of the partial restoration of chiral symmetry in nuclear medium. Several experiments are discussed to detect the enhancement, which ... More

Including stereoscopic information in the reconstruction of coronal magnetic fieldsJan 21 2008Jan 23 2008We present a method to include stereoscopic information about the three dimensional structure of flux tubes into the reconstruction of the coronal magnetic field. Due to the low plasma beta in the corona we can assume a force free magnetic field, with ... More

A Z$_2$ index of Dirac operator with time reversal symmetryMay 22 2009With time reversal symmetry a Dirac operator has vanishing index and Chern number. We show that we can nevertheless define a nontrivial Z$_2$ index as well as a corresponding topological invariant given by gauge field, which implies that such a Dirac ... More

Quantization of non-Abelian Berry phase for time reversal invariant systemsMar 18 2009We present a quantized non-Abelian Berry phase for time reversal invariant systems such as quantum spin Hall effect. Ordinary Berry phase is defined by an integral of Berry's gauge potential along a loop (an integral of the Chern-Simons one-form), whereas ... More

Thermal Field Theory and Infinite StatisticsJun 17 1992Oct 28 1992We construct a quantum thermal field theory for scalar particles in the case of infinite statistics. The extension is provided by working out the Fock space realization of a "quantum algebra", and by identifying the hamiltonian as the energy operator. ... More

Stops in R-parity Breaking Model for High-$Q^2$ Events at HERAApr 03 1997We investigate an event excess in the reaction $e^+p \to e^+ X$ with large $x$ and high $Q^2$ observed at HERA and show that the events could naturally be interpreted as a signature of the production of the scalar top quarks (stops) in a supersymmetric ... More

Stochastic Variational Method as Quantization Scheme I: Field Quantization of Complex Klein-Gordan EquationJun 28 2013Jun 24 2014Stochastic Variational Method (SVM) is the generalization of the variation method to the case with stochastic variables. In the series of papers, we investigate the applicability of SVM as an alternative field quantization scheme. Here, we discuss the ... More

Dynamical Origin of Power SpectraDec 27 2008We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.

Memory Effects and Transport Coefficients for Non-Newtonian FluidsDec 22 2008We discuss the roles of viscosity in relativistic fluid dynamics from the point of view of memory effects. Depending on the type of quantity to which the memory effect is applied, different terms appear in higher order corrections. We show that when the ... More

A Study of a Real-Time Operating System on the Intel-Based Vme ControllersNov 09 2001Dec 17 2001In this paper, we described the performance differences between VME-based controllers, HP743rt/HP-RT and IA-based platforms. We measured some kind of real-time benchmarks and discussed a relation of architecture dependences.

Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer ChainMar 12 2009We study the dynamical response of a single semiflexible polymer chain based on the theory developed by Hallatschek et al. for the wormlike-chain model. The linear viscoelastic response under oscillatory forces acting at the two chain ends is derived ... More

Comment on a Paper by Yucai Su On Jacobian ConjectureDec 21 2005The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

Asymptotic behavior for quadratic variations of non-Gaussian multiparameter Hermite random fieldsNov 11 2016Dec 21 2017Let $(Z^{q, H}_t)_{t \in [0, 1]^d}$ 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

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

Coarse Graining in Hydrodynamics and Effects of FluctuationsOct 14 2013We address the physical meaning of hydrodynamic approach related with the coarse graining scale in the frame work of variational formulation. We point out that the local thermal equilibrium does not necessarily play a critical role in the description ... More

Navier-Stokes Equation by Stochastic Variational MethodMay 31 2011Aug 24 2011We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are extended to ... 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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Electronic GlassesMar 20 2004A short introduction to the physics and the method to treat quantum crystals of electrons (Wigner crystal) and the related disordered elastic systems.

The Evolution of Gas and Dust in Protoplanetary Accretion DisksJul 18 2011Dust constitutes only about one percent of the mass of circumstellar disks, yet it is of crucial importance for the modeling of planet formation, disk chemistry, radiative transfer and observations. The initial growth of dust from sub-micron sized grains ... More

Symmetry Protected Topological phases of Quantum MatterMay 15 2014We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting many particle ... More

Water in Emission in the ISO Spectrum of the Early M Supergiant Star mu CepheiAug 03 2000We report a detection of water in emission in the spectrum of the M2 supergiant atar mu Cep (M2Ia) observed by the Short Wavelength Spectrometer (SWS) aboard Infrared Space Observatory (ISO) and now released as the ISO Archives. The emission first appears ... More