Results for "Nobuyuki Abe"

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Deterministic reshaping of single-photon spectra using cross-phase modulationApr 07 2016The frequency conversion of light has proved to be a crucial technology for communication, spectroscopy, imaging, and signal processing. In the quantum regime, it also offers great potential for realizing quantum networks incorporating disparate physical ... More
Dynamics of Gravitating Magnetic MonopolesDec 28 1995Apr 21 1996According to previous work on magnetic monopoles, static regular solutions are nonexistent if the vacuum expectation value of the Higgs field $\eta$ is larger than a critical value $\eta_{{\rm cr}}$, which is of the order of the Planck mass. In order ... More
Relationship between mass density, electron density, and elemental composition of body tissues for Monte Carlo simulation in radiation treatment planningAug 02 2015Purpose: For Monte Carlo simulation of radiotherapy, x-ray CT number of every system needs to be calibrated and converted to mass density and elemental composition. This study aims to formulate material properties of body tissues for practical two-step ... More
p-branes from (p-2)-branes in the Bosonic String TheoryApr 25 1998May 15 1998We show that Dirichlet p-brane can be expressed as a configuration of infinitely many Dirichlet (p-2)-branes in the bosonic string theory. Using this fact, we interpret the massless fields on the p-brane worldvolume as deformations of the configuration ... More
Extra Observables in Gauged WZW ModelsOct 30 1991It is known that Liouville theory can be represented as an SL(2,R) gauged WZW model. We study a two dimensional field theory which can be obtained by analytically continuing some of the variables in the SL(2,R) gauged WZW model. We can derive Liouville ... More
Comments on Takahashi-Tanimoto's scalar solutionAug 27 2014Feb 08 2015We study the identity-based solution of Witten's cubic bosonic open string field theory constructed by Takahashi and Tanimoto, which is claimed to describe the tachyon vacuum. We argue that the observables of the solution coincide with those of the tachyon ... More
Particle-Particle-String VertexSep 21 1996We study a theory of particles interacting with strings. Considering such a theory for Type IIA superstring will give some clue about M-theory. As a first step toward such a theory, we construct the particle-particle-string interaction vertex generalizing ... More
How does gravity save or kill Q-balls?May 15 2011We explore stability of gravitating Q-balls with potential $V_4(\phi)={m^2\over2}\phi^2-\lambda\phi^4+\frac{\phi^6}{M^2}$ via catastrophe theory, as an extension of our previous work on Q-balls with potential $V_3(\phi)={m^2\over2}\phi^2-\mu\phi^3+\lambda\phi^4$. ... More
Unified pictures of Q-balls and Q-tubesAug 22 2012While Q-balls have been investigated intensively for many years, another type of nontopological solutions, Q-tubes, have not been understood very well. In this paper we make a comparative study of Q-balls and Q-tubes. First, we investigate their equilibrium ... More
Optimal supply against fluctuating demandMar 29 2005Sornette et al. claimed that the optimal supply does not agree with the average demand, by analyzing a bakery model where a daily demand fluctuates with a uniform distribution. In this note, we extend the model to general probability distributions, and ... More
A Background Independent Formulation of Noncritical String TheoryMar 22 1995Using the string field theory recently proposed by the authors and collaborators, we give a background independent formulation of rational noncritical string theories with $c\leq 1$. With a little modification of the string field Hamiltonians previously ... More
Biological dose representation for carbon-ion radiotherapy of unconventional fractionationJul 05 2016In carbon-ion radiotherapy, single-beam delivery each day in alternate directions has been commonly practiced for operational efficiency, taking advantage of the Bragg peak and the relative biological effectiveness (RBE) for uniform dose conformation ... More
Long-range Coulomb interaction effects on the surface Dirac electron system of a three-dimensional topological insulatorDec 02 2014The surface state of a three-dimensional topological insulator forms a two-dimensional massless Dirac electron system. In Dirac electron systems, Coulomb interaction is not screened due to the small density of states at the Fermi energy and thus the long-range ... More
Underlying mechanism of numerical instability in large eddy simulation of turbulent flowsFeb 05 2004Apr 13 2004This paper extends our recent theoretical work concerning the feasibility of stable and accurate computation of turbulence using a large eddy simulation [Ida and Taniguchi, Phys. Rev. E 68, 036705 (2003)]. In our previous paper, it was shown, based on ... More
Gauged Q-balls in the Affleck-Dine mechanismJan 06 2014We consider gauged Q-balls in the gravity-mediation-type model in the Affleck-Dine mechanism, which is described by the potential $V_{\rm grav.}(\phi):=(m_{\rm grav.}^2/2)\phi^2\left[1+K\ln(\phi/M)^2\right]$ with $K<0$. In many models of gauged Q-balls, ... More
Gravitating Q-balls in the Affleck-Dine mechanismMay 19 2011We investigate how gravity affects "Q-balls" with the Affleck-Dine potential $V_{AD}(\phi):=\frac{m^2}{2}\phi^2[ 1+K\ln (\frac{\phi}{M})^2]$. Contrary to the flat case, in which equilibrium solutions exist only if $K<0$, we find three types of gravitating ... More
Stability of Q-balls and CatastropheDec 10 2007Jun 05 2008We propose a practical method for analyzing stability of Q-balls for the whole parameter space, which includes the intermediate region between the thin-wall limit and thick-wall limit as well as Q-bubbles (Q-balls in false vacuum), using the catastrophe ... More
Microscopic derivation of magnon spin current in topological insulator/ferromagnet heterostructureOct 12 2016We investigate a spin-electricity conversion effect in a topological insulator/ferromagnet heterostructure. In the spin-momentum-locked surface state, an electric current generates non-equilibrium spin accumulation, which causes a spin-orbit torque that ... More
Localizing modes of massive fermions and a U(1) gauge field in the inflating baby-skyrmion branesDec 12 2011Apr 12 2012We consider the six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and ... More
Peculiar Velocities of Nonlinear Structure: Voids in McVittie SpacetimeSep 10 1999Dec 07 1999As a study of peculiar velocities of nonlinear structure, we analyze the model of a relativistic thin-shell void in the expanding universe. (1) Adopting McVittie (MV) spacetime as a background universe, we investigate the dynamics of an uncompensated ... More
Operator ordering in Two-dimensional N=1 supersymmetry with curved manifoldAug 21 2007We investigate an operator ordering problem in two-dimensional N=1 supersymmetric model which consists of n real superfields. There arises an operator ordering problem when the target space is curved. We have to fix the ordering in quantum operator properly ... More
Linear optics for direct observation of quantum violation of pigeonhole principle by joint weak measurementDec 12 2018When three pigeons are in two pigeonholes, at least two of them should be in the same pigeonhole, which is called pigeonhole principle. Recently Aharonov el al have shown that the principle can be violated in a pre-postselected quantum system. This violation ... More
Regular and Black Hole Solutions in the Einstein-Skyrme Theory with Negative Cosmological ConstantMar 31 2005Jul 19 2005We study spherically symmetric regular and black hole solutions in the Einstein-Skyrme theory with a negative cosmological constant. The Skyrme field configuration depends on the value of the cosmological constant in a similar manner to effectively varying ... More
B=3 Tetrahedrally Symmetric Solitons in the Chiral Quark Soliton ModelApr 17 2002In this paper, B=3 soliton solutions with tetrahedral symmetry are obtained numerically in the chiral quark soliton model using the rational map ansatz. The solution exhibits a triply degenerate bound spectrum of the quark orbits in the background of ... More
When a negative weak value -1 plays the counterpart of a probability 1Jul 27 2016When the weak value of a projector is 1, a quantum system behaves as in that eigenstate with probability 1. By definition, however, the weak value may take an anomalous value lying outside the range of probability like -1. From the viewpoint of a physical ... More
Quantum information is incompressible without errorsMar 11 2002A classical random variable can be faithfully compressed into a sequence of bits with its expected length lies within one bit of Shannon entropy. We generalize this variable-length and faithful scenario to the general quantum source producing mixed states ... More
A strange weak value in spontaneous pair productions via a supercritical step potentialApr 16 2012Aug 24 2012We consider a case where a weak value is introduced as a physical quantity rather than an average of weak measurements. The case we treat is a time evolution of a particle by 1+1 dimensional Dirac equation. Particularly in a spontaneous pair production ... More
General Relativistic Electromagnetism and Particle Acceleration in Pulsar Polar CapJun 28 2002Oct 16 2002We reconstruct a 3+1 formalism of general relativistic electromagnetism, and derive the equations of motion of charged particles in the pulsar magnetosphere, taking account of the inclination between the rotation axis and the magnetic axis. Apart from ... More
Perturbative dynamics of matrix string for the membraneJan 29 2004Apr 14 2004Recently Sekino and Yoneya proposed a way to regularize the world volume theory of membranes wrapped around $S^1$ by matrices and showed that one obtains matrix string theory as a regularization of such a theory. We show that this correspondence between ... More
Soliton Solutions in Noncritical String Field Theory?Jun 20 1996We look for soliton solutions in $c=0$ noncritical string field theory constructed by the authors and collaborators. It is shown that the string field action itself is very complicated in our formalism but it satisfies a very simple equation. We derive ... More
Exact, molecular-shaped vortices with fractional and integer charges in the extended Skyrme-Faddeev modelSep 23 2013Dec 19 2014We analytically construct vortex solutions in the integrable sector of the extended Skyrme-Faddeev model. The solutions are holomorphic type which satisfy the zero curvature condition. For the model parameter $\beta e^2=1$ there is a lump solution, and ... More
Multi-soliton solutions in the chiral quark soliton modelMay 28 2004In this article a series of solutions with higher baryon numbers in the chiral quark soliton model are reported. The chiral quark soliton model is a simple quark model that incorporates the basic features of QCD. The B=2 axially symmetric soliton solution ... More
Degeneracy of the quarks, shell structure in the chiral solitonFeb 09 2004We obtain multi-soliton solutions with discrete symmetries in the chiral quark soliton model using the rational map ansatz. The solutions exhibit degenerate bound spectra of the quark orbits depending on the background of pion field configurations. It ... More
Black Holes with Skyrme HairJan 09 2005This paper is intended to give a review of the recent developments on black holes with Skyrme hair. The Einstein-Skyrme system is known to possess black hole solutions with Skyrme hair. The spherically symmetric black hole skyrmion with B=1 was the first ... More
Unconventional Spin Hall Effect and Axial Current Generation in a Dirac SemimetalFeb 03 2016May 30 2016We investigate electrical transport in a three-dimensional massless Dirac fermion model that describes a Dirac semimetal state realized in topological materials. We derive a set of interdependent diffusion equations with eight local degrees of freedom, ... More
Orbital Order Effect of Two-Dimensional Spin Gap System for CaV4O9Dec 04 1997Dec 07 1997Effects of possible orbital order in magnetic properties of two-dimensional spin gap system for CaV$_4$O$_9$ are investigated theoretically. After analyzing experimental data, we show that single orbital models assumed in the literature are insufficient ... More
Constructing neural stationary states for open quantum many-body systemsFeb 19 2019May 02 2019We propose a new variational scheme based on the neural-network quantum states to simulate the stationary states of open quantum many-body systems. Using the high expressive power of the variational ansatz described by the restricted Boltzmann machines, ... More
Stability and Convergence of an Upwind Finite Difference Scheme for the Radiative Transport EquationMar 26 2013An explicit numerical scheme is proposed for solving the initial-boundary value problem for the radiative transport equation in a rectangular domain with completely absorbing boundary condition. An upwind finite difference approximation is applied to ... More
Cyclic CaloronsOct 16 2012The Nahm data of periodic instantons, often called calorons, with spatial $C_N$-symmetries are considered, by applying Sutcliffe's ansatz for the monopoles with $C_N$-symmetries. The bulk data of calorons are shown to enjoy the periodic Toda lattice, ... More
Black Hole Skyrmions with Negative Cosmological ConstantFeb 25 2005May 08 2005We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The stability is investigated ... More
Microscopic derivation of magnon spin current in topological insulator/ferromagnet heterostructureOct 12 2016Nov 17 2016We investigate a spin-electricity conversion effect in a topological insulator/ferromagnet heterostructure. In the spin-momentum-locked surface state, an electric current generates non-equilibrium spin accumulation, which causes a spin-orbit torque that ... More
String Field Theory of Noncritical StringsJul 07 1993We construct the Hamiltonian operator of the string field theory for $c=0$ string theory. It describes how strings evolve in the coordinate frame, which is defined by using the geodesic distance on the worldsheet. The Hamiltonian consists of three-string ... More
Maxwell boundary conditions imply non-Lindblad master equationMar 02 2016Aug 12 2016From the Hamiltonian connecting the inside and outside of an Fabry-Perot cavity, which is derived from the Maxwell boundary conditions at a mirror of the cavity, a master equation of a non-Lindblad form is derived when the cavity embeds matters, although ... More
Light-cone Gauge String Field Theory and Dimensional RegularizationFeb 14 2011We review our recent proposals to dimensionally regularize the light-cone gauge string field theory.
Splitting off Rational Parts in Homotopy TypesNov 16 2004It is known algebraically that any abelian group is a direct sum of a divisible group and a reduced group (See Theorem 21.3 of \cite{Fuchs:abelian-group}). In this paper, conditions to split off rational parts in homotopy types from a given space are ... More
Measurement of Polarization and Triple-Product Correlations in B -> phi K^* DecaysAug 27 2004We present a measurement of the decay amplitudes and triple-product correlations in B -> phi K^* decays based on 140 fb^-1 of data recorded at the Upsilon(4S) resonance with the Belle detector at the KEKB e^+ e^- storage ring. The decay amplitudes for ... More
Measurement of Branching Fraction for B --> psi(2S)K*(892) DecaysAug 15 2003We have measured the branching fractions of the colour suppressed decays B^{+} --> \psi(2S) K^{*+}(892) and B^{0} --> psi(2S)K^{*0}(892) using a data sample of 84 million B\bar{B} events recorded by the Belle detector on the Upsilon(4S) resonance. The ... More
Observation of the Decay $B \to K \ell^{+} \ell^{-}$Sep 18 2001Oct 19 2001We report a search for the flavor-changing neutral current decay $B \to K^{(*)} \ell^{+} \ell^{-}$ using a 29.1 fb${}^{-1}$ data sample accumulated at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB $e^{+}e^{-}$ storage ring. We observe ... More
Measurement of the Angle $φ_1(β)$ and $B \bar B$ Mixing (Recent Results from BaBar and Belle)Aug 29 2003Recent results from BaBar and Belle experiments on $B \bar B$ mixing and $\sin 2\phi_1$ are presented. Accuracy of $\Delta m_d$ measurements has reached 1.2%. Higher order effects within the Standard Model or possible new physics effect that might appear ... More
Observation of Cabibbo suppressed $B \to D^{(*)}K^-$ decays at BelleApr 28 2001Cabibbo-suppressed decays $B \to D^{(*)} K^-$ using a 10.4 fb$^{-1}$ data sample accumulated at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB $e^+ e^-$ storage ring. The high-momentum particle identification system of Belle is used ... More
Time Dependent B0s - B0s-bar Mixing Using Inclusive and Semileptonic B Decays at SLDDec 19 2000We set a preliminary 95% C.L. exclusion on the oscillation frequency of B0s - B0s-bar mixing using a sample of 400,000 hadronic Z0 decays collected by the SLD experiment at the SLC between 1996 and 1998. The analyses determine the b-hadron flavor at production ... More
Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)Nov 28 2000Mar 14 2001We report a determination of the B0d - B0d-bar mixing parameter Delta-m_d based on the time evolution of dilepton yields in Upsilon(4S) decays. The measurement is based on a 5.9 /fb data sample collected by the Belle detector at KEKB. The proper-time ... More
A study of the orientation and energy partition of three-jet events in hadronic Z0 decaysAug 28 1996We have measured the distributions of the jet energies in e+e- --> qq^bar g events, and of the three orientation angles of the event plane, using hadronic $Z^0$ decays collected in the SLD experiment at SLAC. We find that the data are well described by ... More
Measurement of the Charged Multiplicities in b, c and Light Quark Events from Z0 DecaysAug 14 1996Average charged multiplicities have been measured separately in $b$, $c$ and light quark ($u,d,s$) events from $Z^0$ decays measured in the SLD experiment. Impact parameters of charged tracks were used to select enriched samples of $b$ and light quark ... More
Measurement of alpha_s(M_Z^2) from Hadronic Event Observables at the Z^0 ResonanceJan 06 1995Jul 23 1997The strong coupling alpha_s(M_Z^2) has been measured using hadronic decays of Z^0 bosons collected by the SLD experiment at SLAC. The data were compared with QCD predictions both at fixed order, O(alpha_s^2), and including resummed analytic formulae based ... More
Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebraJun 04 2014Dec 26 2015We study the structure of parabolic inductions of a pro-$p$-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo $p$ representations of pro-$p$-Iwahori Hecke algebra in terms of supersingular representations. Since supersingular ... More
C_2-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebrasMay 11 2010Feb 25 2011In this article, we give a sufficient and necessary condition for the $C_2$-cofiniteness of the 2-cycle permutation orbifold model $(V\otimes V)^\sigma$ for a $C_2$-cofinite vertex operator algebra and the 2-cycle permutation $\sigma$ of $V\otimes V$. ... More
On Soergel bimodulesJan 08 2019May 29 2019For a Coxeter system and its representation $V$, Soergel defined a category which is now called the category of Soergel bimodules and proved that this gives a categorification of the Hecke algebra when $V$ is reflection faithful. Elias and Williamson ... More
Relationship between quandle shadow cocycle invariants and Vassiliev invariants of linksDec 30 2018Apr 26 2019In this study, we deduce Vassiliev invariants from quandle shadow cocycle invariants using the Alexander quandle of links. First, we relate the quandle (shadow) cocycle invariants and Vassiliev invariants of links. Second, we obtain the relation between ... More
Patterns of supersymmetry breaking in moduli-mixing racetrack modelOct 27 2006We show some structures of moduli stabilization and supersymmetry breaking caused by gaugino condensations with the gauge couplings depending on two moduli which often appear in the four-dimensional effective theories of superstring compactifications. ... More
A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudesDec 21 2015Apr 07 2016Some aspects of Aomoto's generalized hypergeometric functions on Grassmannian spaces $Gr(k+1,n+1)$ are reviewed. Particularly, their integral representations in terms of twisted homology and cohomology are clarified with an example of the $Gr(2,4)$ case ... More
Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudesJun 14 2009Nov 07 2009We introduce a notion of holonomy in twistor space and construct a holonomy operator by use of a spinor-momenta formalism in twistor space. The holonomy operator gives a monodromy representation of the Knizhnik-Zamolodchikov (KZ) equation, which is mathematically ... More
Does gravitational wave propagate in the five dimensional space-time with Kaluza-Klein monopole?Jan 30 1995The behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time is investigated. The fact that the odd parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole is ... More
Gauge field and geometric control of quantum-thermodynamic engineSep 14 2011The problem of extracting the work from a quantum-thermodynamic system driven by slowly varying external parameters is discussed. It is shown that there naturally emerges a gauge-theoretic structure. The field strength identically vanishes if the system ... More
Reply to the Comment by B. AndresenDec 06 2010All the comments made by Andresen's comments are replied and are shown not to be pertinent. The original discussions [ABE S., Europhys. Lett. 90 (2010) 50004] about the absence of nonextensive statistical mechanics with q-entropies for classical continuous ... More
Time evolution of Renyi entropy under the Lindblad equationJul 20 2016Aug 04 2016In recent years, the Renyi entropy has repeatedly been discussed for characterization of quantum critical states and entanglement. Here, time evolution of the Renyi entropy is studied. A compact general formula is presented for the lower bound on the ... More
Invariants of Fokker-Planck equationsJul 19 2016Mar 18 2017A weak invariant of a stochastic system is defined in such a way that its expectation value with respect to the distribution function as a solution of the associated Fokker-Planck equation is constant in time. A general formula is given for time evolution ... More
Reply to Comments on "Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions"Dec 31 2004Bashkirov's comments (cond-mat/0410667) on the paper [S. Abe, Phys. Rev. E 66, 046134 (2002)] are all refuted. In addition, it is discussed that the Renyi entropy is irrelevant to generalization of Boltzmann-Gibbs statistical mechanics for complex systems. ... More
Geometry of escort distributionsMay 11 2003Given an original distribution, its statistical and probabilistic attributs may be scanned by the associated escort distribution introduced by Beck and Schlogl and employed in the formulation of nonextensive statistical mechanics. Here, the geometric ... More
Generalized entropy optimized by an arbitrary distributionNov 20 2002We construct the generalized entropy optimized by a given arbitrary statistical distribution with a finite linear expectation value of a random quantity of interest. This offers, via the maximum entropy principle, a unified basis for a great variety of ... More
General pseudoadditivity of composable entropy prescribed by existence of equilibriumDec 12 2000The concept of composability states that entropy of the total system composed of independent subsystems is a function of entropies of the subsystems. Here, the most general pseudoadditivity rule for composable entropy is derived based only on existence ... More
Heat and generalized Clausius entropy of nonextensive systemsDec 07 2000Jan 06 2001Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical temperature introduced through the generalized zeroth law of thermodynamics ... More
Divisionally free arrangements of hyperplanesFeb 26 2015Jan 17 2017We consider the triple $(\mathcal{A},\mathcal{A}',\mathcal{A}^H)$ of hyperplane arrangements and the division of their characteristic polynomials. We show that the freeness of $\mathcal{A}^H$ and the division of $\chi(\mathcal{A};t)$ by $\chi(\mathcal{A}^H;t)$ ... More
Effective resistances for supercritical percolation clusters in boxesJun 24 2013Let $\mathcal{C}^n$ be the largest open cluster for supercritical Bernoulli bond percolation in $[-n, n]^d \cap \mathbb{Z}^d$ with $d \ge 2$. We obtain a sharp estimate for the effective resistance on $\mathcal{C}^n$. As an application we show that the ... More
Invariants of Fokker-Planck equationsJul 19 2016A weak invariant of a stochastic system is defined in such a way that its expectation value with respect to the distribution function as a solution of the associated Fokker-Planck equation is constant in time. A general formula is given for time evolution ... More
Young diagrams and intersection numbers for toric manifolds associated with Weyl chambersApr 15 2014Jan 12 2015We study intersection numbers of invariant divisors in the toric manifold associated with the fan determined by the collection of Weyl chambers for each root system of classical type and of exceptional type $G_2$. We give a combinatorial formula for intersection ... More
Spontaneous and dynamical symmetry breaking in higher-dimensional space-time with boundary termsJul 01 2003In this thesis we study physics beyond the standard model focusing on the quantum field theory in higher-dimensional space-time with some boundary terms. The boundary term causes nontrivial consequences about the vacuum structure of the higher-dimensional ... More
Attractive Central Potential in the SU(3) Skyrme ModelOct 25 1997The interaction between the hyperon and the nucleon is investigated in the SU(3) Skyrme model. The static potential, which is expanded in terms of the modified SU(3) rotation matrices, is obtained for several orientations with the Atiyah-Manton ansatz. ... More
Hamiltonian formulation of fractional kineticsNov 15 2017Nov 28 2017Fractional kinetic theory plays a vital role in describing anomalous diffusion in terms of complex dynamics generating semi-Markovian processes. Recently, the variational principle and associated Levy Ansatz have been proposed in order to obtain an analytic ... More
Temperature of nonextensive system: Tsallis entropy as Clausius entropyApr 01 2005The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of the Lagrange ... More
Dilatation symmetry of the Fokker-Planck equation and anomalous diffusionJul 14 2003Based on the canonical formalism, the dilatation symmetry is implemented to the Fokker-Planck equation for the Wigner distribution function that describes atomic motion in an optical lattice. This reveals the symmetry principle underlying the recent result ... More
A problem with the escort distribution representation of nonextensive statistical mechanicsJun 04 2000It is pointed out that the Tsallis entropy functional represented in terms of the escort distribution is not concave of the entropic index $q$ is less than unity. It is emphasized that the escort distribution is a secondary object calculated from the ... More
Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributionsJun 06 2002Jun 10 2002The q-exponential distributions, which are generalizations of the Zipf-Mandelbrot power-law distribution, are frequently encountered in complex systems at their stationary states. From the viewpoint of the principle of maximum entropy, they can apparently ... More
A New Basis Function Approach to 't Hooft-Bergknoff-Eller EquationsMar 16 1999Jun 24 1999We analytically and numerically investigate the 't Hooft-Bergknoff-Eller equations, the lowest order mesonic Light-Front Tamm-Dancoff equations for U(N_C) and SU(N_C) gauge theories. We find the wavefunction can be well approximated by new basis functions ... More
On the conjecture of Athanasiadis related to freeness of a family of hyparplane arrangementsOct 03 2011Oct 17 2011We prove a characterization of freeness, conjectured by Athanasiadis, for the family of hyperplane arrangements which lie between the Coxeter and the Catalan arrangement of type $A_\ell$. One direction was already proved in [2]. Here we prove the other ... More
Exponents of 2-multiarrangements and freeness of 3-arrangementsMay 28 2010We give the upper bound of differences of exponents for balanced 2-multiarrangements in terms of the cardinality of hyperplanes. Also, we give a shift isomorphism of 2-multiarrangements like Coxeter arrangements when the difference of exponents is maximum. ... More
Addition-deletion theorem for free hyperplane arrangements and combinatoricsNov 09 2018In the theory of hyperplane arrangements, the most important and difficult problem is the combinatorial dependency of several properties. In this atricle, we prove that Terao's celebrated addition-deletion theorem for free arrangements is combinatorial, ... More
Plus-one generated and next to free arrangements of hyperplanesAug 14 2018Aug 17 2018We introduce a new class of arrangements of hyperplanes, called (strictly) plus-one generated arrangements, from algebraic point of view. Plus-one generatedness is close to freeness, i.e., plus-one generated arrangements have their logarithmic derivation ... More
Deletion theorem and combinatorics of hyperplane arrangementsSep 18 2017Sep 23 2017We show that the deletion theorem of a free arrangement is combinatorial, i.e., whether we can delete a hyperplane from a free arrangement keeping freeness depends only on the intersection lattice. In fact, we give an explicit sufficient and necessary ... More
Restrictions of free arrangements and the division theoremMar 12 2016This is a survey and research note on the modified Orlik conjecture derived from the division theorem introduced in [2]. The division theorem is a generalization of classical addition-deletion theorems for free arrangements. The division theorem can be ... More
Degenerate abelian function fieldsMay 20 2019Originally, an abelian function field is the field of meromorphic functions on the Jacobi variety J(X) of a compact Riemann surface X. It is generated by the fundamental abelian functions belonging to the meromorphic function field on X. We study this ... More
Generalized Jacquet modules of parabolic inductionOct 17 2007Sep 25 2008In this paper we study a generalization of the Jacquet module of a parabolic induction and construct a filtration on it. The successive quotient of the filtration is written by using the twisting functor.
$C_2$-cofiniteness of 2-cyclic permutation orbifold modelsJul 14 2011Sep 15 2011In this article, we consider permutation orbifold models of $C_2$-cofinite vertex operator algebras of CFT type. We show the $C_2$-cofiniteness of the 2-cyclic permutation orbifold model $(V\otimes V)^{S_2}$ for an arbitrary $C_2$-cofinite simple vertex ... More
Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic $\mathscr{D}$-modulesMay 29 2011The aim of this paper is to compute the Frobenius structures of some cohomological operators of arithmetic $\ms{D}$-modules. To do this, we calculate explicitly an isomorphism between canonical sheaves defined abstractly. Using this calculation, we establish ... More
Tilting modules arising from two-term tilting complexesApr 04 2011Jun 30 2011We show that every two-term tilting complex over an Artin algebra has a tilting module over a certain factor algebra as a homology group. Also, we determine the endomorphism algebra of such a homology group, which is given as a certain factor algebra ... More
Reflections and torsion theories for selfinjective algebrasMay 24 2010Nov 05 2015We introduce the notion of reflections for selfinjective algebras from the point of view of torsion theories induced by two-term tilting complexes. As an application, we determine the transformations of Brauer trees associated with reflections. In particular, ... More
A Hecke action on $G_1T$-modulesApr 25 2019We give an action of the Hecke category on the principal block $\mathrm{Rep}_0(G_1T)$ of $G_1T$-modules where $G$ is a connected reductive group over an algebraically closed field of characteristic $p > 0$, $T$ a maximal torus of $G$ and $G_1$ the Frobenius ... More
Extremes of local times for simple random walks on symmetric treesMar 30 2016Mar 07 2017We consider local times of the simple random walk on the $b$-ary tree of depth $n$ and study a point process which encodes the location of the vertex with the maximal local time and the properly centered maximum over leaves of each subtree of depth $r_n$ ... More
Search for New Particles Decaying to b bbar in p pbar Collisions at sqrt{s}=1.8 TeVSep 20 1998Jan 19 1999We have used 87 pb^-1 of data collected with the Collider Detector at Fermilab to search for new particles decaying to b bbar. We present model-independent upper limits on the cross section for narrow resonances which excludes the color-octet technirho ... More
Measurement of the Top Quark MassJan 15 1998We present a measurement of the top quark mass using a sample of t-tbar decays into an electron or a muon, a neutrino, and four jets. The data were collected in p-pbar collisions at sqrt(s)=1.8 TeV with the Collider Detector at Fermilab and correspond ... More