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Statistical Learnability of Generalized Additive Models based on Total Variation RegularizationFeb 08 2018A generalized additive model (GAM, Hastie and Tibshirani (1987)) is a nonparametric model by the sum of univariate functions with respect to each explanatory variable, i.e., $f({\mathbf x}) = \sum f_j(x_j)$, where $x_j\in\mathbb{R}$ is $j$-th component ... More

Distributed Stochastic Optimization of the Regularized RiskJun 17 2014Jun 09 2015Many machine learning algorithms minimize a regularized risk, and stochastic optimization is widely used for this task. When working with massive data, it is desirable to perform stochastic optimization in parallel. Unfortunately, many existing stochastic ... More

WordRank: Learning Word Embeddings via Robust RankingJun 09 2015Sep 27 2016Embedding words in a vector space has gained a lot of attention in recent years. While state-of-the-art methods provide efficient computation of word similarities via a low-dimensional matrix embedding, their motivation is often left unclear. In this ... More

Totally Corrective Boosting with Cardinality PenalizationApr 07 2015We propose a totally corrective boosting algorithm with explicit cardinality regularization. The resulting combinatorial optimization problems are not known to be efficiently solvable with existing classical methods, but emerging quantum optimization ... More

DS-MLR: Exploiting Double Separability for Scaling up Distributed Multinomial Logistic RegressionApr 16 2016Multinomial logistic regression is a popular tool in the arsenal of machine learning algorithms, yet scaling it to datasets with very large number of data points and classes has not been trivial. This is primarily because one needs to compute the log-partition ... More

Transmission of distress in a bank credit networkApr 25 2012Nov 22 2012The European sovereign debt crisis has impaired many European banks. The distress on the European banks may transmit worldwide, and result in a large-scale knock-on default of financial institutions. This study presents a computer simulation model to ... More

Impact of credit default swaps on financial contagionSep 25 2014It had been believed in the conventional practice that the risk of a bank going bankrupt is lessened in a straightforward manner by transferring the risk of loan defaults. But the failure of American International Group in 2008 posed a more complex aspect ... More

Impact of shadow banks on financial contagionSep 30 2014An asset network systemic risk (ANWSER) model is presented to investigate the impact of how shadow banks are intermingled in a financial system on the severity of financial contagion. Particularly, the focus of this study is the impact of the following ... More

Optimal portfolio for a robust financial systemNov 22 2012Feb 05 2013This study presents an ANWSER model (asset network systemic risk model) to quantify the risk of financial contagion which manifests itself in a financial crisis. The transmission of financial distress is governed by a heterogeneous bank credit network ... More

Effect of stripe order strength for the Nernst effect in La_{2-x}Sr_xCu_4 single crystalsDec 01 2009We have precisely measured the Nernst effect in Nd-doped La$_{2-x}$Sr$_x$CuO$_4$ single crystals with controlling the strength (stability) of the stripe order. We found that the onset temperature $T_{onset}$, where the Nernst signal starts increasing, ... More

On universal structural characteristics of granular packsMay 27 2013Nov 01 2013Dependence of structural self-organization of granular materials on preparation and grain parameters is key to predictive modelling. We study 60 different mechanically equilibrated polydisperse disc packs, generated numerically by two protocols. We show ... More

Fundamental structural characteristics of planar granular assemblies: scaling away friction and initial stateJul 12 2012Macroscopic properties of granular packs are mainly determined by the micro-structure. We study the dependence of the micro-structure on inter-granular friction and initial conditions using numerical experiments. The experiments consist of isotropic compaction ... More

Correction to four-loop RG functions in the two-dimensional lattice O(n) $σ$-modelOct 12 1998Mar 12 2001We report the result of our evaluation of the Feynman diagrams appearing in the determination of the four-loop renormalization group functions in the two-dimensional lattice O($n$) $\sigma$-model by Caracciolo and Pelissetto. In the list of the integrals ... More

A determination of the mass gap in the O(n) sigma modelNov 06 1996Mar 12 2001We calculate the finite volume mass gap $M(L)$ at 3-loop level in the non-linear O($n$) $\sigma$-model in two dimensions in small volumes. By applying the Monte Carlo measurements of the running coupling $\bar g^2(L)=2nM(L)L/(n-1)$ by L\"uscher, Weisz ... More

Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensionsJun 17 1997Mar 21 1998We apply a new coordinate space method for the evaluation of lattice Feynman diagrams suggested by L\"uscher and Weisz to field theories in two dimensions. Our work is to be presented for the theories with massless propagators. The main idea is to deal ... More

On Non-linear Action for Gauged M2-braneDec 04 2009Mar 17 2010We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes couplings ... More

On lower ramification subgroups and canonical subgroupsAug 27 2012Nov 09 2012Let p be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of the Witt ring of k. Let G be a finite flat commutative group scheme over O_K killed by some p-power. In this paper, ... More

Canonical subgroups via Breuil-Kisin modules for p=2Sep 20 2011Jul 26 2012Let p be a rational prime and K/Q_p be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over O_K with 0<d<h. In this paper, we prove the existence of higher canonical subgroups ... More

Simultaneous auctions for complementary goodsDec 10 2013This paper studies an environment of simultaneous, separate, first-price auctions for complementary goods. Agents observe private values of each good before making bids, and the complementarity between goods is explicitly incorporated in their utility. ... More

The minimal degree of plane models of double covers of smooth curvesSep 10 2008Oct 12 2009If $X$ is a smooth curve such that the minimal degree of its plane models is not too small compared with its genus, then $X$ has been known to be a double cover of another smooth curve $Y$ under some mild condition on the genera. However there are no ... More

$T^3$ deformations and $β$-deformed geometriesNov 05 2013Mar 19 2014We discuss $\beta$-deformed geometries on two types of $T^3$'s where the direction along the third coordinate is not orthogonal to the direction along the second coordinate or the direction along the first coordinate. We show that the intersection angle ... More

The Complexity of Approximating a Bethe EquilibriumSep 08 2011Mar 21 2013This paper resolves a common complexity issue in the Bethe approximation of statistical physics and the Belief Propagation (BP) algorithm of artificial intelligence. The Bethe approximation and the BP algorithm are heuristic methods for estimating the ... More

Glueball Mass Spectrum in KK Monopole BackgroundSep 04 1999We consider typeIIA supergravity solution of D2-branes and D3-branes localized within D6-branes in the near-core region of D6-branes. With these solutions we can calculate the spectrum of the glueball mass in QCD3 and QCD4. The equation of motion describing ... More

Dirichlet Boundary Conditions in Generalized Liouville Theory toward a QCD StringApr 25 2000Sep 25 2000We consider bosonic noncritical strings as QCD strings and we present a basic strategy to construct them in the context of Liouville theory. We show that Dirichlet boundary conditions play important roles in generalized Liouville theory. Specifically, ... More

Recoiling D-branesJun 22 2004Dec 20 2004We propose a new method to describe a recoiling D-brane that is elastically scattered by closed strings in the non-relativistic region. We utilize the low-energy effective field theory on the worldvolume of the D-brane, and the velocity of the D-brane ... More

Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equationsJan 01 2018In this paper, we study a three dimensional Ricci-degenerate Riemannian manifold $(M^3,g)$ which admits a smooth nonzero solution $f$ to the following equation: \begin{align} \label{a1a} \nabla df=\psi(f)Rc+\phi(f)g, \end{align} where $Rc$ is the Ricci ... More

Discriminative Learning of the Prototype Set for Nearest Neighbor ClassificationSep 27 2015Aug 21 2016The nearest neighbor rule is one of the most widely used models for classification, and selecting a compact set of prototype instances is a primary challenges for its applications. Many existing approaches for prototype selection exploit instance-based ... More

Intracluster Supernova as a Possible Extra Energy Source of ClustersNov 09 2000The observed luminosity -- temperature relation of clusters is considerably steeper than that expected from a simple scaling relation. Although extra energy input is a likely solution, its source has not been identified. We propose intracluster supernova ... More

On a properness of the Hilbert eigenvariety at integral weights: the case of quadratic residue fieldsJan 05 2016Let p be a rational prime. Let F be a totally real number field such that F is unramified over p and the residue degree of any prime ideal of F dividing p is 1 or 2. In this paper, we show that the eigenvariety for Res_{F/Q}(GL_2), constructed by Andreatta-Iovita-Pilloni, ... More

A characterization of Burniat surfaces with $K^{2}=4$ and of non nodal typeJul 22 2014Jul 13 2015Let $S$ be a minimal surface of general type with $p_{g}(S)=0$ and $K^{2}_{S}=4$. Assume the bicanonical map $\varphi$ of $S$ is a morphism of degree $4$ such that the image of $\varphi$ is smooth. Then we prove that the surface $S$ is a Burniat surface ... More

Negative Differential Resistivity from HolographyJun 21 2010Sep 16 2011Negative differential resistivity (NDR) in a (3+1)-dimensional quantum system of strongly correlated charge carriers is theoretically reproduced by using the AdS/CFT correspondence. Our system is microscopically defined, and the analysis does not rely ... More

Comments on Chemical Potentials in AdS/CFTNov 10 2007Dec 30 2008We propose a method for identifying holographic chemical potentials of conserved charges. The guiding principle is the consistency of the identification with the thermodynamic relations and the Legendre transformation. We consider the baryon-charge chemical ... More

Base-point-free pencils on triple covers of smooth curvesJun 11 2008Let $X$ be a smooth algebraic curve. Suppose that there exists a triple covering $f : X \to Y$ where $Y$ is a smooth algebraic curve. In this paper, we investigate the existence of morphisms from $X$ to the projective line $\mathbf{P}^1$ which do not ... More

"Quark Confinement" and Evolution of Covariant Hadron-Classification SchemeJan 12 2014Jan 21 2014The extension of Non-Relativistic-to-Covariant classification scheme seems to be an urgent problem in the Hadron Spectroscopy. Here are given the recent results of our research. 1) Brief history of our way of the extension on Kinematical Frameworks: from ... More

A New Bijection Between Forests and Parking FunctionsOct 02 2008Oct 03 2008In 1980, G. Kreweras gave a recursive bijection between forests and parking functions. In this paper we construct a nonrecursive bijection from forests onto parking functions, which answers a question raised by R. Stanley. As a by-product, we obtain a ... More

Ramification theory and perfectoid spacesApr 22 2013May 22 2013Let K and F be complete discrete valuation fields of residue characteristic p>0. Let m be a positive integer no more than their absolute ramification indices. Let s and t be their uniformizers. Let L/K and E/F be finite extensions such that the modulo ... More

Generalized complex marginal deformation of pp-waves and giant gravitonsMay 14 2015We present the Penrose limits of a complex marginal deformation of $AdS_5\times S^5$, which incorporates the $SL(2,\mathbb{R})$ symmetry of type IIB theory, along the $(J,0,0)$ geodesic and along the $(J,J,J)$ geodesic. We discuss giant gravitons on the ... More

Smearing Effect in Plane-Wave Matrix ModelDec 22 2008Dec 27 2008Motivated by the usual D2-D0 system, we consider a configuration composed of flat membrane and fuzzy sphere membrane in plane-wave matrix model, and investigate the interaction between them. The configuration is shown to lead to a non-trivial interaction ... More

On the classification of 4-dimensional $(m,ρ)$-quasi-Einstein manifolds with harmonic Weyl curvatureJun 05 2016In this paper we study 4-dimensional $(m,\rho)$-quasi-Einstein manifolds with harmonic Weyl curvature when $m\notin\{0,\pm1,-2,\pm\infty\}$ and $\rho\notin\{\frac{1}{4},\frac{1}{6}\}$. We prove that a non-trivial $(m,\rho)$-quasi-Einstein metric $g$ (not ... More

Closed-string Tachyon Condensation and the On-shell Effective Action of Open-string TachyonsMay 07 2001Dec 12 2001We study how the effect of closed-string tachyon condensation can enter into the on-shell effective action of open-string tachyons in the bosonic case. We also consider open-string one-loop quantum corrections to the on-shell action. We use a sigma-model ... More

The ~U(12)-Classification Scheme, Static U(4)-Spin Symmetry for Light-Quarks and "Exotic" HadronsNov 02 2005Nov 03 2005Several years ago we have proposed a manifestly covariant $\tilde{U}(12)_{SF}$-classification scheme of hadrons, which maintains the successful $SU(6)_{SF}\otimes O(3)_{L}$ framework in Non-Relativistic Quark Model and is also reconcilable with the mechanism ... More

Controversies on and a Reasoning for Existence of the light sigma-particleMay 06 1999The light sigma-particle is, regardless of the strong criticism, reviving recently due to the works done from various sides. I review essential points of the controversies (especially related to our works) and of their answer: Conventionally a large concentration ... More

Physical Origin of Chiral States and Near-Threshold Resonances Observed at BESDec 27 2006The purpose of my talk is to explain physical backgrounds of the chiral states, which are predicted to exist generally in the low mass regions of hadrons, containing light quarks, and to stimulate the experimental and phenomenological search for their ... More

On existence of the σ(600) - Its physical implications and related problemsDec 02 1997We make a re-analysis of I=0 \pi\pi scattering phase shift \delta_0^0 through a new method of S-matrix parametrization (IA; interfering amplitude method), and show a result suggesting strongly for the existence of \sigma-particle -- long-sought Chiral ... More

On the $\mathbb{F}_2$-linear relations of Mersenne Twister pseudorandom number generatorsJan 23 2013Nov 06 2013Sequence generators obtained by linear recursions over the two-element field $\mathbb{F}_2$, i.e., $\mathbb{F}_2$-linear generators, are widely used as pseudorandom number generators. For example, the Mersenne Twister MT19937 is one of the most successful ... More

Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fieldsJul 19 2010May 17 2012Let p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fractional field of the Witt ring of k. Let G and H be finite flat commutative group schemes killed by p over O_K and k[[u]], respectively. ... More

On a ramification bound of torsion semi-stable representations over a local fieldJan 14 2008Jun 20 2009For a rational prime p, let k be a perfect field of characteristic p, K be a finite totally ramified extension of Frac(W(k)) of degree e and r be a non-negative integer satisfying r<p-1. In this article, we prove the upper numbering ramification group ... More

A New Method to Estimate Cosmological Parameters Using Baryon Fraction of Clusters of GalaxiesNov 05 1996We propose a new method to estimate cosmological parameters using the baryon fraction of clusters of galaxies for a range of redshifts. The basic assumption is that the baryon fraction of clusters is constant, which is a reasonable assumption when it ... More

Quasi-Monte Carlo point sets with small $t$-values and WAFOMJun 08 2014Jan 01 2015The $t$-value of a $(t, m, s)$-net is an important criterion of point sets for quasi-Monte Carlo integration, and many point sets are constructed in terms of the $t$-values, as this leads to small integration error bounds. Recently, Matsumoto, Saito, ... More

Elliptic regularity results: n-regularized Liouville Brownian motion and non-symmetric diffusions associated with degenerate formsJun 19 2016We apply improved elliptic regularity results to a concrete symmetric Dirichlet form and various non-symmetric Dirichlet forms with possibly degenerate symmetric diffusion matrix. Given the (non)-symmetric Dirichlet form, using elliptic regularity results ... More

A bound for the Milnor sum of projective plane curves in terms of GITFeb 25 2015Sep 28 2015Let $C$ be a projective plane curve of degree $d$ whose singularities are all isolated. Suppose $C$ is not concurrent lines. P{\l}oski proved that the Milnor number of an isolated singlar point of $C$ is less than or equal to $(d-1)^{2}-\lfloor \frac{d}{2} ... More

Slices of Okounkov bodies of big divisors on Mori dream spacesApr 26 2016May 03 2016The purpose of this paper is to study the slices of the Okounkov bodies of Mori dream spaces. First, we analyze all the slices of the Okounkov bodies of big divisors on Mori dream spaces associated to some admissible flags. As a byproduct, we obtain their ... More

Decay Rates of Fixed Planes and Closed-string Tachyons on Unstable OrbifoldsMay 07 2003Apr 12 2004We consider closed-string tachyon condensation in the twisted sectors on the C/Z_{2n+1} \times R^{7,1} orbifold. We calculate the localized energy density in the fixed plane on the orbifold at the one-loop level, and we obtain the decay rate per unit ... More

Higher syzygies on abelian surfaces and on their double coversAug 22 2016Let $(X,L)$ be a polarized abelian surface and $f:Y \rightarrow X$ a double cover of $X$ branched over a smooth divisor $B=D^{\otimes 2}$. Based on the theory of infinitesimal Newton-Okounkov body, we show the $N_{p}$ property of $f^{*}L$ by using the ... More

Topological invariants and corner states for Hamiltonians on a three dimensional latticeNov 29 2016Periodic Hamiltonians on a three dimensional lattice which have a spectral gap not only on the bulk but also on two edges at the common Fermi level are considered. By using K-theory applied for quarter-plane Toeplitz algebras, two topological invariants ... More

Numerical evidence for monopoles in 3-dimensional Yang-Mills theorySep 28 2000Jan 05 2001Recently Anishetty, Majumdar and Sharatchandra have proposed a way of characterizing topologically non-trivial configurations for 2+1 dimensional Yang-Mills theory in a local and manifestly gauge invariant manner. In this paper paper we develop criteria ... More

Topologically non-trivial configurations in 3-dimensional Yang-Mills theoryOct 31 2000Recently Anishetty, Majumdar and Sharatchandra have proposed a way of characterizing topologically non-trivial configurations for 2+1-dimensional Yang-Mills theory in a local and manifestly gauge invariant manner. Here we develop criteria to locate such ... More

Canonical subgroups via Breuil-Kisin modulesDec 06 2010Nov 26 2012Let p>2 be a rational prime and K/Q_p be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over O_K with 0<d<h. In this paper, we show that an upper ramification subgroup ... More

Infinitesimal deformations of complements of plumbings of rational curvesOct 10 2010We construct infinitesimal deformations on an open domain of a smooth projective surface given by a complement of plumbings of disjoint linear chains of smooth rational curves. We show that the infinitesimal deformations are not small deformations, that ... More

Algebraic degrees of stretch factors in mapping class groupsJan 08 2014Sep 23 2015We explicitly construct pseudo-Anosov maps on the closed surface of genus $g$ with orientable foliations whose stretch factor $\lambda$ is a Salem number with algebraic degree $2g$. Using this result, we show that there is a pseudo-Anosov map whose stretch ... More

A refined bijection between alternating permutations and 0-1-2 increasing treesMar 24 2010We construct a refined bijection $\phi$ between alternating permutations and 0-1-2 increasing trees with degree at most 2. It satisfies that the first element of alternating permutation $\pi$ is equal to the first vertex in $\phi(\pi)$ in the postorder. ... More

Strict decomposition of diffusions associated to degenerate (sub)-elliptic formsJun 19 2016For degenerate symmetric (sub)-elliptic forms, we construct weak solutions to the corresponding stochastic differential equations starting from all points in Euclidean space. By virtue of transition density estimate, stochastic calculus, and strict Fukushima ... More

Vortex solutions of parity and time reversal invariant Maxwell-Dirac-Chern-Simons gauge theoryFeb 17 1997Nov 18 1997We construct parity and time reversal invariant Maxwell-Chern-Simons gauge theory coupled to fermions with adding the parity partner to the matter and the gauge fields, which can give nontopological vortex solutions depending on the sign of the Chern-Simons ... More

Localization of Dirac Operators on 4n+2 Dimensional Open Spin^c ManifoldsJun 03 2013Jan 21 2014An integer valued topological index of a Dirac operator is introduced for a pair of a 4n+2 dimensional open Spin^c manifold and a section of the determinant line bundle satisfying some property. We show a relation between the index and an index of a Dirac ... More

A search for extensible low-WAFOM point setsSep 30 2013Jun 20 2016Matsumoto, Saito, and Matoba recently proposed the Walsh figure of merit (WAFOM), which is a computable criterion for quasi-Monte Carlo point sets using digital nets. Several algorithms have been proposed for finding low-WAFOM point sets. In the existing ... More

Light neutralino dark matter in light Higgs scenario related with the CoGeNT and DAMA/LIBRA resultsNov 29 2010Recently, the CoGeNT collaboration reported the WIMP candidate signal events exceeding the known backgrounds where the light WIMP with large cross section is supported. Motivated by this issue, we analyze a light neutralino dark matter scenario with a ... More

Nonequilibrium Phase Transitions and a Nonequilibrium Critical Point from Anti-de Sitter Space and Conformal Field Theory CorrespondenceApr 09 2012Oct 04 2012We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric Yang-Mills theory ... More

Bulk-edge correspondence and the cobordism invariance of the indexNov 24 2016The bulk-edge correspondence for two-dimensional type A topological insulators and topological superconductors is proved by using the cobordism invariance of the index. The idea of G. M. Graf and M. Porta to use some vector bundle is developed from the ... More

On the question of universality in $\RPn$ and $\On$ Lattice Sigma ModelsJul 06 1995We argue that there is no essential violation of universality in the continuum limit of mixed $\RPn$ and $\On$ lattice sigma models in 2 dimensions, contrary to opposite claims in the literature.

Current Status of the Numerical Simulations of d=3 SU(2) Lattice Gauge Theory in the Dual FormulationNov 07 2000We have continued our systematic investigations of the numerical simulations of lattice gauge theories in the dual formulation. These include: i) a more practical implementation of the quasi-local updating technique, ii) a thorough investigation of the ... More

Symbol calculus for the Kepler problemMay 26 2005Aug 20 2007We construct the system of generalized coherent states for the quantum Kepler problem corresponds to the homogeneous domain $SU(2,2)/S(U(2)\times U(2))$. We show that the SU(2,2)-equivariant momentum map for this domain yields the momentum map for the ... More

Does matter wave amplification work for fermions?Aug 16 2000We discuss the relationship between bosonic stimulation, density fluctuations, and matter wave gratings. It is shown that enhanced stimulated scattering, matter wave amplification and atomic four-wave mixing are in principle possible for fermionic or ... More

Does regenerated emission change the high-energy signal from gamma-ray burst afterglows?Jul 09 2004We study regenerated high-energy emission from the gamma-ray burst (GRB) afterglows, and compare its flux with the direct component from the same afterglow. When the intrinsic emission spectrum extends to TeV region, these very high-energy photons are ... More

BPS States in Supersymmetric Chiral Models with Higher Derivative TermsJun 30 2014Nov 04 2014We study the higher derivative chiral models with four supercharges and BPS states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields F which causes distinct on-shell branches associated with the solutions ... More

Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral ModelsApr 30 2015Jun 21 2015We study N=1 supersymmetric gauge theories coupled with higher derivative chiral models in four dimensions in the off-shell superfield formalism. We solve the equation of motion for the auxiliary fields and find two distinct on-shell structures of the ... More

Non-equilibrium Ionization State of Warm-Hot Intergalactic MediumMar 03 2006Jun 13 2006Time evolution of the ionization state of metals in the cosmic baryons is investigated in a cosmological context without the assumption of ionization equilibrium. We find that a significant fraction of ionized oxygen ions (OVII and OVIII) in the warm-hot ... More

Nonexistence of Chaotic Solutions of Nonlinear Differential EquationsApr 09 2011We discuss some important issues arising from computational efforts in dynamical systems and fluid dynamics. Various individuals have misunderstood these issues since the onset of these problem areas; indeed, they have been routinely misinterpreted, and ... More

Computed Chaos or Numerical ErrorsJun 21 2005Jan 01 2010Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations. These methods seem particularly useful to the study of chaos since no analytical chaotic solution ... More

Persistent antimonotonic bifurcations and strange attractors for cubic homoclinic tangenciesMar 20 2008In this paper, we study a two-parameter family of two-dimensional diffeomorphisms such that it has a cubic homoclinic tangency unfolding generically which is associated with a dissipative saddle point. Our first theorem presents an open set in the parameter-plane ... More

Derivation of Hydrodynamics from the Hamiltonian description of particle systemsJun 20 2013Feb 08 2014Hamiltonian particle systems may exhibit non-linear hydrodynamic phenomena as the time evolution of the density fields of energy, momentum, and mass. In this Letter, an exact equation describing the time evolution is derived assuming the local Gibbs distribution ... More

A perturbation theory for large deviation functionals in fluctuating hydrodynamicsJun 01 2007We study a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the fluctuation theorem, ... More

Origin of infrared peaks in the optical conductivity of ytterbium compoundsAug 01 2009We have calculated optical conductivity [$\sigma(\omega)$] spectra of ytterbium compounds (YbAl$_3$, YbAl$_2$, YbCu$_2$Si$_2$, YbNi$_2$Ge$_2$, YbInCu$_4$, YbRh$_2$Si$_2$, YbIr$_2$Si$_2$, and YbB$_{12}$) based on the direct interband transition derived ... More

A Note on (Spin-) Coherent-State Path IntegralJul 01 1998It is pointed out that there are some fundamental difficulties with the frequently used continuous-time formalism of the spin-coherent-state path integral. They arise already in a single-spin system and at the level of the "classical action" not to speak ... More

Determination of the Equation of State of a Two-Component Fermi Gas at UnitarityJan 10 2008Mar 28 2008We report on the measurement of the equation of state of a two-component Fermi gas of $^6$Li atoms with resonant interactions. By analyzing the \textit{in situ} density distributions of a population-imbalanced Fermi mixture reported in the recent experiment ... More

Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theoryOct 14 2004Mar 07 2005In this paper, using a Hopf-algebraic method, we construct deformed Poincar\'e SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincar\'e algrebra as our fundamental symmetry, we can see the consistency between the ... More

A semigroup approach to Finsler geometry: Bakry--Ledoux's isoperimetric inequalityFeb 01 2016We develop the celebrated semigroup approach \`a la Bakry et al on Finsler manifolds, where natural Laplacian and heat semigroup are nonlinear, based on the Bochner--Weitzenb\"ock formula established by Sturm and the author. We show the $L^2$- and $L^1$-gradient ... More

Weighted Ricci curvature estimates for Hilbert and Funk geometriesMar 09 2012We consider Hilbert and Funk geometries on a strongly convex domain in the Euclidean space. We show that, with respect to the Lebesgue measure on the domain, Hilbert (resp. Funk) metric has the bounded (resp. constant negative) weighted Ricci curvature. ... More

Implications on the Ionizing Background Radiation from HST Heii Gunn-Peterson TestSep 13 1994Sep 14 1994Recently, Jakobsen et al. reported that the HeII Gunn-Peterson optical depth is greater than 1.7 at $ z=3.3$. When we consider this observation combined with the HI Gunn-Peterson optical depths and the intensity of the UV background at high redshifts, ... More

Okounkov bodies and restricted volumes along very general curvesFeb 15 2009Oct 14 2009Given a big divisor $D$ on a normal complex projective variety $X$, we show that the restricted volume of $D$ along a very general complete-intersection curve $C\subset X$ can be read off from the Okounkov body of $D$ with respect to an admissible flag ... More

Two-step Emergence of the Magnetic Flux Sheet from the Solar Convection ZoneMar 23 2010We perform two-dimensional MHD simulations on the solar flux emergence. We set the initial magnetic flux sheet at z=-20,000 km in the convection zone. The flux sheet rises through the convective layer due to the Parker instability, however, decelerates ... More

Dynamic Hand Gesture Recognition for Wearable Devices with Low Complexity Recurrent Neural NetworksAug 14 2016Gesture recognition is a very essential technology for many wearable devices. While previous algorithms are mostly based on statistical methods including the hidden Markov model, we develop two dynamic hand gesture recognition techniques using low complexity ... More

A comment on the definition of relative pressureMar 09 2004We show that two natural definitions of the relative pressure function for a locally constant potential function and a factor map from a shift of finite type coincide almost everywhere with respect to every invariant measure. With a suitable extension ... More

Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic MapDec 26 2005We study a 2- and a 4-dimensional nearly integrable symplectic maps using a singular perturbation method. Resonance island structures in the 2- and 4- dimensional maps are successfully obtained. Those perturbative results are numerically confirmed.

On the eigenproblems of PT-symmetric oscillatorsJul 05 2000We consider the non-Hermitian Hamiltonian H= -\frac{d^2}{dx^2}+P(x^2)-(ix)^{2n+1} on the real line, where P(x) is a polynomial of degree at most n \geq 1 with all nonnegative real coefficients (possibly P\equiv 0). It is proved that the eigenvalues \lambda ... More

Graviton and Spherical Graviton Potentials in Plane-Wave Matrix Model - overview and perspective -Nov 18 2005We briefly review our works for graviton and spherical graviton potentials in a plane-wave matrix model. To compute them, it is necessary to devise a configuration of the graviton solutions, since the plane-wave matrix model includes mass terms and hence ... More

Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix ModelSep 03 2004In plane-wave matrix model, the membrane fuzzy sphere extended in the SO(3) symmetric space is allowed to have periodic motion on a sub-plane in the SO(6) symmetric space. We consider a background configuration composed of two such fuzzy spheres moving ... More

The Kobayashi pseudometric on algebraic manifold and a canonical fibrationJun 18 2002Sep 08 2002Given a compact complex manifold X of dimension n, we define a bimeromorphic invariant $\kappa_+(X)$ as the maximum p for which there is a saturated line subsheaf L of the sheaf of holomorphic p forms whose Kodaira dimension $\kappa (L)$ equals p. We ... More

On the complex branch points in $πN$ scattering amplitude and the multiple poles feature of resonancesFeb 07 2014Mar 20 2014A simple heuristic argument to understand the existence of complex branch points in the $\pi N$ scattering amplitude is presented. It is based on a hypothesis that the singularity structure of the $\pi N$ scattering amplitude is a smooth varying function ... More

The Dubna-Mainz-Taipei Dynamical Model for $πN$ Scattering and $π$ Electromagnetic ProductionMar 28 2016Some of the featured results of the Dubna-Mainz-Taipei (DMT) dynamical model for $\pi N$ scattering and $\pi^0$ electromagnetic production are summarized. These include results for threshold $\pi^0$ production, deformation of $\Delta(1232)$, and the extracted ... More

Existence of generic cubic homoclinic tangencies for Hénon mapsAug 15 2006Mar 19 2012In this paper, we show that the H\'enon map $\varphi_{a,b}$ has a generically unfolding cubic tangency for some $(a,b)$ arbitrarily close to $(-2,0)$ by applying results of Gonchenko-Shilnikov-Turaev [12]-[16]. Combining this fact with theorems in Kiriki-Soma ... More