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Data Transmission with Reduced Delay for Distributed Acoustic SensorsOct 08 2015Nov 05 2015This paper proposes a channel access control scheme fit to dense acoustic sensor nodes in a sensor network. In the considered scenario, multiple acoustic sensor nodes within communication range of a cluster head are grouped into clusters. Acoustic sensor ... More

Retraining-Based Iterative Weight Quantization for Deep Neural NetworksMay 29 2018Model compression has gained a lot of attention due to its ability to reduce hardware resource requirements significantly while maintaining accuracy of DNNs. Model compression is especially useful for memory-intensive recurrent neural networks because ... More

Wireless Power Transfer for High-precision Position Detection of Railroad VehiclesAug 31 2015Detection of vehicle position is critical for successful operation of intelligent transportation system. In case of railroad transportation systems, position information of railroad vehicles can be detected by GPS, track circuits, and so on. In this paper, ... More

DeepTwist: Learning Model Compression via Occasional Weight DistortionOct 30 2018Model compression has been introduced to reduce the required hardware resources while maintaining the model accuracy. Lots of techniques for model compression, such as pruning, quantization, and low-rank approximation, have been suggested along with different ... More

Safety technology for train based on multi-sensors and braking systemOct 08 2015Jun 16 2016This work deals with integration and transmission of safety information for smart railway vehicles and control and design of cooperative emergency brake systems for high speed trains. Due to increased speed of high-speed train, safety of passengers is ... 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

Dementia assistive system as a dense networkOct 14 2015As elderly population increases, portion of dementia patients becomes larger. Thus social cost of caring dementia patients has been a major concern to many nations. This article introduces a dementia assistive system operated by various sensors and devices ... 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

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

Network Pruning for Low-Rank Binary IndexingMay 14 2019Pruning is an efficient model compression technique to remove redundancy in the connectivity of deep neural networks (DNNs). Computations using sparse matrices obtained by pruning parameters, however, exhibit vastly different parallelism depending on ... More

Situation-Aware Integration and Transmission of Safety Information for Smart Railway VehiclesApr 02 2015Apr 03 2015Recent trend of railway train development can be characterized in several aspects : high speed, infortainment, intelligence in driving, and so on. In particular, trend of high speed in driving is prominent and competition for high speed amongst several ... More

Rational homology balls in $2$-handlebodiesMar 15 2018We prove that there are rational homology balls $B_p$ smoothly embedded in the $2$-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the $2$-handlebody along the embedded rational homology ball $B_p$, then the ... More

A simply connected numerical Campedelli surface with an involutionAug 03 2011Jan 15 2013We construct a simply connected minimal complex surface of general type with $p_g=0$ and $K^2=2$ which has an involution such that the minimal resolution of the quotient by the involution is a simply connected minimal complex surface of general type with ... More

A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2ZMar 09 2008Mar 26 2008This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with p_g=0 and K^2=3. In this paper we construct a new non-simply connected minimal surface of general type with p_g=0, K^2=3 ... More

Simple embeddings of rational homology balls and antiflipsApr 09 2019Let $V$ be a regular neighborhood of a negative chain of $2$-spheres (i.e. exceptional divisor of a cyclic quotient singularity), and let $B_{p,q}$ be a rational homology ball which is smoothly embedded in $V$. Assume that the embedding is simple, i.e. ... More

Symplectic fillings of quotient surface singularities and minimal model programNov 18 2018Jan 30 2019We prove that every minimal symplectic filling of the link of any quotient surface singularity can be obtained from its minimal resolution by a sequence of rational blowdowns applying the minimal model program for complex 3-dimensional algebraic varieties. ... More

Invariants of deformations of quotient surface singularitiesMar 01 2018We find all $P$-resolutions of quotient surface singularities (especially, tetrahedral, octahedral, and icosahedral singularities) together with their dual graphs, which reproduces Jan Steven's list [Manuscripta Math. 1993] of the numbers of $P$-resolutions ... More

Surfaces of general type with $p_g=1$ and $q=0$Jun 29 2009Jan 16 2011In this paper we construct a new family of simply connected minimal complex surfaces of general type with $p_g=1$, $q=0$, and $K^2=3, 4, 5, 6, 8$ using a $\mathbb{Q}$-Gorenstein smoothing theory. We also reconstruct minimal complex surfaces of general ... More

A simply connected surface of general type with p_g=0 and K^2=4Mar 26 2008Sep 22 2008As the sequel to [5, 7], we construct a simply connected minimal complex surface of general type with p_g = 0 and K^2 = 4 by using a rational blow-down surgery and Q-Gorenstein smoothing theory.

Normal complex surface singularities with rational homology disk smoothingsNov 08 2013May 07 2014In this paper we show that if the minimal good resolution graph of a normal surface singularity contains at least two nodes (i.e. vertex with valency at least 3) then the singularity does not admit a smoothing with Milnor fiber having rational homology ... More

A simply connected surface of general type with p_g=0 and K^2=3Aug 02 2007Aug 11 2007Motivated by a recent result of Y. Lee and the second author[7], we construct a simply connected minimal complex surface of general type with p_g=0 and K^2=3 using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a similar fashion, we ... More

A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$Oct 19 2009We construct a new family of simply connected minimal complex surfaces with $p_g=1$, $q=0$, and $K^2=8$ using a $\mathbb{Q}$-Gorenstein smoothing theory.

Energy-Efficient Infrastructure Sensor Network for Ad Hoc Cognitive Radio NetworkOct 09 2015We propose an energy-efficient network architecture that consists of ad hoc (mobile) cognitive radios (CRs) and infrastructure wireless sensor nodes. The sensor nodes within communications range of each CR are grouped into a cluster and the clusters of ... More

Smoothly embedded rational homology ballsAug 15 2015In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.

A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$Dec 29 2010Aug 25 2011We construct a new minimal complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$ (in fact $\pi_1^{\text{alg}}=\mathbb{Z}/4\mathbb{Z}$), which settles the existence question for numerical Campedelli surfaces with all possible ... More

Milnor fibers and symplectic fillings of quotient surface singularitiesJul 24 2015Feb 28 2018We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity (up to diffeomorphism type) by giving an explicit algorithm to compare them mainly via techniques from the minimal model program ... More

Milnor fibers and symplectic fillings of quotient surface singularitiesJul 24 2015May 16 2016We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity by giving an explicit algorithm to compare them mainly via techniques from the minimal model program for 3-folds and Pihkham's ... More

Performance Analysis of a Cognitive Radio Network with an Energy Harvesting Secondary Transmitter under Nakagami-m FadingNov 27 2017In this paper, we consider an overlay cognitive radio network, in which a secondary transmitter (ST) is willing to relay the information of a primary transmitter toward a primary receiver. In return, ST can access the licensed band to send its own information ... More

Restriction estimates to complex hyper-surfacesMar 11 2019The restriction problem is better understood for hyper-surfaces and recent progresses have been made by bilinear and multilinear approaches and most recently polynomial partitioning method which is combined with those estimates. However, for surfaces ... More

Estimating Large Precision Matrices via Modified Cholesky DecompositionJul 04 2017We introduce the $k$-banded Cholesky prior for estimating a high-dimensional bandable precision matrix via the modified Cholesky decomposition. The bandable assumption is imposed on the Cholesky factor of the decomposition. We obtained the P-loss convergence ... More

The Three Dimensional Structural Shape of the Gravitational Potential in the Local GroupMay 10 2006Jun 19 2008The Local Group is a small galaxy cluster with the membership of 62 nearby galaxies including the Milky Way and M31. Although the Local Group has yet to be virialized, it interacts with the surrounding matter as one gravitationally bound system. To understand ... More

On the structure of certain valued fieldsAug 27 2016Sep 07 2018For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if each pair of $n$-th residue rings is isomorphic for each $n\ge1$, then $K_1$ and $K_2$ are isometric and isomorphic. More ... More

State transfer with quantum side informationAug 14 2017Mar 16 2018We first consider quantum communication protocols between a sender Alice and a receiver Bob, which transfer Alice's quantum information to Bob by means of non-local resources, such as classical communication, quantum communication, and entanglement. In ... More

A New Efficient Key Management Protocol for Wireless Sensor and Actor NetworksDec 03 2009Research on sensor networks has become much more active and is currently being applied to many different fields. However since sensor networks are limited to only collecting and reporting information regarding a certain event, and requires human intervention ... More

On the structure of certain valued fieldsAug 27 2016Sep 19 2016For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if each pair of $n$-th residue rings is isomorphic for each $n\ge1$, then $K_1$ and $K_2$ are isometric and isomorphic. More ... More

The Variation of Galaxy Morphological Type with the Shear of EnvironmentJan 10 2008Jul 28 2008Recent N-body simulations have shown that the assembly history of galactic halos depend on the density of large-scale environment. It implies that the galaxy properties like age and size of bulge may also vary with the surrounding large-scale structures, ... More

Reconstructing the Intrinsic Triaxial Shape of the Virgo ClusterApr 11 2007To use galaxy clusters as a cosmological probe, it is important to account for their triaxiality. Assuming that the triaxial shapes of galaxy clusters are induced by the tidal interaction with the surrounding matter, Lee and Kang recently developed a ... More

Restriction estimates to complex hypersurfacesMar 11 2019Mar 12 2019The restriction problem is better understood for hypersurfaces and recent progresses have been made by bilinear and multilinear approaches and most recently polynomial partitioning method which is combined with those estimates. However, for surfaces with ... More

Phonological modeling for continuous speech recognition in KoreanJul 18 1996A new scheme to represent phonological changes during continuous speech recognition is suggested. A phonological tag coupled with its morphological tag is designed to represent the conditions of Korean phonological changes. A pairwise language model of ... More

Content-based feature exploration for transparent music recommendation using self-attentive genre classificationAug 31 2018Sep 03 2018Interpretation of retrieved results is an important issue in music recommender systems, particularly from a user perspective. In this study, we investigate the methods for providing interpretability of content features using self-attention. We extract ... More

A note on the Gunningham's formulaJun 30 2014Gunningham [G] constructed an extended topological quantum field theory (TQFT) to obtain a closed formula for all spin Hurwitz numbers. In this note, we use the gluing theorem in [LP2] to reprove the Gunningham's formula. We also describe a TQFT formalism ... More

Cross correlation of Cosmic Microwave background and Weak LensingOct 16 2015The integrated Sachs-Wolfe (ISW) effect and its non-linear extension Rees-Sciama (RS) effect provide us the information of the time evolution of gravitational potential. The cross-correlation between the cosmic microwave background (CMB) and the large ... More

The thermodynamics of quantum spacetime historiesOct 13 2015We show that the simplicity constraints, which define the dynamics of spin foam models, imply, and are implied by, the first law of thermodynamics, when the latter is applied to causal diamonds in the quantum spacetime. This result reveals an intimate ... More

Non-local beablesJul 30 2015I discuss the idea that the beables underlying quantum physics are non-local and relational, and give an example of a dynamical theory of such beables based on a matrix model, which is the bosonic sector of the BFSS model. Given that the same model has ... More

Dynamics of the cosmological and Newton's constantJul 05 2015A modification of general relativity is presented in which Newton's constant and the cosmological constant become a conjugate pair of dynamical variables.

The case for background independenceJul 25 2005The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be background independent ... More

A quantization of topological M theoryMar 17 2005A conjecture is made as to how to quantize topological M theory. We study a Hamiltonian decomposition of Hitchin's 7-dimensional action and propose a formulation for it in terms of 13 first class constraints. The theory has 2 degrees of freedom per point, ... More

The cubic matrix model and a duality between strings and loopsJun 19 2000We find evidence for a duality between the standard matrix formulations of M theory and a background independent theory which extends loop quantum gravity by replacing SU(2) with a supersymmetric and quantum group extension of SU(16). This is deduced ... More

General relativity as the equation of state of spin foamMay 24 2012Building on recent significant results of Frodden, Ghosh and Perez (FGP) and Bianchi, I present a quantum version of Jacobson's argument that the Einstein equations emerge as the equation of state of a quantum gravitational system. I give three criteria ... More

On limitations of the extent of inertial frames in non-commutative relativistic spacetimesJul 05 2010Aug 10 2010We study the interplay of non-locality and Lorentz invariance in a version of deformed or doubly special relativity (DSR) based on kappa-Minkowski spacetime. We find that Einstein's procedure for an inertial observer to assign coordinates to distant events ... More

The status of cosmological natural selectionDec 18 2006The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown that the hypothesis of cosmological ... More

The present moment in quantum cosmology: challenges to the arguments for the elimination of timeApr 29 2001Barbour, Hawking, Misner and others have argued that time cannot play an essential role in the formulation of a quantum theory of cosmology. Here we present three challenges to their arguments, taken from works and remarks by Kauffman, Markopoulou and ... More

Finite, diffeomorphism invariant observables in quantum gravityFeb 10 1993Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to an anti- symmetric tensor gauge field and using that field to pick out sets ... More

Strings as perturbations of evolving spin-networksJan 06 1998A connection between non-perturbative formulations of quantum gravity and perturbative string theory is exhibited, based on a formulation of the non-perturbative dynamics due to Markopoulou. In this formulation the dynamics of spin network states and ... More

Galactic disks as reaction-diffusion systemsDec 03 1996A model of a galactic disk is presented which extends the homogeneous one zone models by incorporating propagation of material and energy in the disk. For reasonable values of the parameters the homogeneous steady state is unstable to the development ... More

Cosmology as a Problem in Critical PhenomenaMay 16 1995Several problems in cosmology and astrophysics are described in which critical phenomena of various types may play a role. These include the organization of the disks of spiral galaxies, various aspects of the problem of structure formation in icosmology, ... More

A characterization of quasipositive Seifert surfaces (Constructions of quasipositive knots and links, III)Nov 15 2004This article was originally published in Topology 31 (1992). The present hyperTeXed redaction corrects a few typographical errors and updates the references.

Isolated critical points of mappings from $\mathbf{R}^4$ to $\mathbf{R}^2$ and a natural splitting of the Milnor number of a classical fibered link. Part I: Basic theory; examplesMar 04 2002Mar 04 2002From a fibered link in the 3-sphere may be constructed a field of not everywhere tangent 2-planes; when the fibered link is the link of an isolated critical point of a map from 4-space to the plane, the plane field is essentially the field of kernels ... More

Quadratic polynomials of small modulus cannot represent ORSep 29 2015Nov 12 2015An open problem in complexity theory is to find the minimal degree of a polynomial representing the $n$-bit OR function modulo composite $m$. This problem is related to understanding the power of circuits with $\text{MOD}_m$ gates where $m$ is composite. ... More

Quasi-sparse eigenvector diagonalization and stochastic error correctionAug 30 2000We briefly review the diagonalization of quantum Hamiltonians using the quasi-sparse eigenvector (QSE) method. We also introduce the technique of stochastic error correction, which systematically removes the truncation error of the QSE result by stochastically ... More

Pressure inequalities for nuclear and neutron matterJul 28 2004Dec 22 2005We prove several inequalities using lowest-order effective field theory for nucleons which give an upper bound on the pressure of asymmetric nuclear matter and neutron matter. We prove two types of inequalities, one based on convexity and another derived ... More

Dynamical Fermions in Hamiltonian Lattice Gauge TheoryOct 24 2001We describe a first attempt to understand dynamical fermions within a Hamiltonian framework. As a testing ground we study compact QED3 which shares some important features of QCD4 such as confinement, glueballs, mesons, and chiral symmetry breaking. We ... More

The role of Monte Carlo within a diagonalization/Monte Carlo schemeOct 31 2000We review the method of stochastic error correction which eliminates the truncation error associated with any subspace diagonalization. Monte Carlo sampling is used to compute the contribution of the remaining basis vectors not included in the initial ... More

Optimal Estimation and Prediction for Dense Signals in High-Dimensional Linear ModelsMar 20 2012Estimation and prediction problems for dense signals are often framed in terms of minimax problems over highly symmetric parameter spaces. In this paper, we study minimax problems over l2-balls for high-dimensional linear models with Gaussian predictors. ... More

Dense Signals, Linear Estimators, and Out-of-Sample Prediction for High-Dimensional Linear ModelsFeb 15 2011Mar 20 2012Motivated by questions about dense (non-sparse) signals in high-dimensional data analysis, we study the unconditional out-of-sample prediction error (predictive risk) associated with three popular linear estimators for high-dimensional linear models: ... More

Transforming floundering into successJul 30 2012We show how logic programs with "delays" can be transformed to programs without delays in a way which preserves information concerning floundering (also known as deadlock). This allows a declarative (model-theoretic), bottom-up or goal independent approach ... More

Practical Multiwriter Lock-Free Queues for "Hard Real-Time" Systems without CASSep 28 2007FIFO queues with a single reader and writer can be insufficient for "hard real-time" systems where interrupt handlers require wait-free guarantees when writing to message queues. We present an algorithm which elegantly and practically solves this problem ... More

Transforming Hidden Vector Encryption Schemes from Composite to Prime Order GroupsNov 09 2016Predicate encryption is a new type of public key encryption that enables searches on encrypted data. By using predicate encryption, we can search keywords or attributes on encrypted data without decrypting ciphertexts. Hidden vector encryption (HVE) is ... More

Amplitudes of low frequency modes in rotating B type starsNov 17 2011Using weakly non-linear theory of oscillation, we estimate the amplitudes of low frequency modes in a slowly pulsating B (SPB) star, taking account of the effects of rotation on the modes. Applying the formulation by Schenk et al (2002), we compute non-linear ... More

Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein ModelMay 14 2013I compute exact partition function zeros of the Wako-Saito-Mu\~noz-Eaton model for various secondary structural elements and for two proteins, 1BBL and 1I6C, using both analytic and numerical methods. Two-state and barrierless downhill folding transitions ... More

Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin ModelSep 26 2012Sep 28 2012An analytic formula for the density of states of Wako-Saito-Munoz-Eaton model, for a simple class of beta-hairpins, is obtained. Under certain simplifying assumptions on the structure of the native contacts and the values of local entropy, the partition ... More

Integral matrices as diagonal quadratic formsOct 29 2016In this paper, we investigate the conditions under which a diagonal quadratic form $\sum_{i=1}^{m}a_i X_i^2$ represents every $n \times n$ integral matrix, where $a_i$ ($1 \leq i \leq m$) are integers. For $n=2$, we give a necessary and sufficient condition. ... More

Current status of $\varepsilon_K$ in lattice QCDNov 14 2016We present the current status of $\varepsilon_K$ evaluated directly from the standard model using lattice QCD inputs. The lattice QCD inputs include $\hat{B}_K$, $\xi_0$, $\xi_2$, $|V_{us}|$, $m_c(m_c)$, and $|V_{cb}|$. Recently, FLAG has updated $\hat{B}_K$, ... More

Worst Unstable Points of a Hilbert SchemeDec 21 2015Mar 29 2018In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets. The chosen Hilbert polynomials are parametrized by two parameters, say $\gamma$ ... More

The effect of liquid on the vibrational intensity of a wineglass at steady state resonanceJan 23 2018Oct 06 2018As a liquid is inserted into a wineglass, the natural frequency of the wineglass decreases. This phenomenon, known as pitch lowering, is well explained in past papers. However, previous literature have not yet mentioned that pitch lowering also reduces ... More

Estimating the Turn-Around Radii of Six Isolated Galaxy Groups in the Local UniverseSep 20 2017Feb 27 2018The estimates of the turn-around radii of six isolated galaxy groups in the nearby universe are presented. From the Tenth Data Release of the Sloan Digital Sky Survey, we first select those isolated galaxy groups at redshifts $z\le 0.05$ in the mass range ... More

The first passage time density of Brownian motion and the heat equation with Dirichlet boundary condition in time dependent domainsNov 13 2018Nov 15 2018In [4], it is proved that we can have a continuous first-passage-time density function of one dimensional standard Brownian motion when the boundary is H\"older continuous with exponent greater than 1/2. For the purpose of extending [4] into multidimensional ... More

Structure of ordinary $Λ$-adic arithmetic cohomology groupsNov 17 2018We study the $\Lambda$-module structure of the ordinary parts of the arithmetic cohomology groups of modular Jacobians made out of various towers of modular curves. We prove that the ordinary parts of $\Lambda$-adic Selmer groups coming from two different ... More

A square root of Hurwitz numbersJul 07 2018We show that a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers is a tau function of the two-component BKP (2-BKP) hierarchy such that it is a square root of a tau function of the two-component KP (2-KP) hierarchy ... More

A New Perspective on the Large-Scale Tidal Effect on the Galaxy Luminosity and MorphologyMay 19 2018Sep 19 2018We study the mean tidal coherence of galaxy environments as a function of intrinsic luminosity determined by the absolute $r$-band magnitude. The tidal coherence of a galaxy environment is estimated as the cosine of the angle between two minor eigenvectors ... More

Asymptotic behavior of the Kobayashi metric on convex domainsNov 11 2009In this paper, we calculate estimates for invariant metrics on a finite type convex domain in $\mathbb C^n$ using the Sibony metric. We also discuss a possible modification of the Sibony metric.

Similarity-Based Approaches to Natural Language ProcessingAug 19 1997This thesis presents two similarity-based approaches to sparse data problems. The first approach is to build soft, hierarchical clusters: soft, because each event belongs to each cluster with some probability; hierarchical, because cluster centroids are ... More

IDF revisited: A simple new derivation within the Robertson-Spärck Jones probabilistic modelMay 08 2007There have been a number of prior attempts to theoretically justify the effectiveness of the inverse document frequency (IDF). Those that take as their starting point Robertson and Sparck Jones's probabilistic model are based on strong or complex assumptions. ... More

"I'm sorry Dave, I'm afraid I can't do that": Linguistics, Statistics, and Natural Language Processing circa 2001Apr 21 2003A brief, general-audience overview of the history of natural language processing, focusing on data-driven approaches.Topics include "Ambiguity and language analysis", "Firth things first", "A 'C' change", and "The empiricists strike back".

Measures of Distributional SimilarityJan 18 2000We study distributional similarity measures for the purpose of improving probability estimation for unseen cooccurrences. Our contributions are three-fold: an empirical comparison of a broad range of measures; a classification of similarity functions ... More

An alternative proof of the non-Archimedean Montel theorem for polynomial dynamicsMay 21 2015May 22 2015We will see an alternative proof of the non-Archimedean Montel theorem, which is also called Hsia's criterion, for polynomial dynamics.

On the time dependence of the rate of convergence towards Hartree dynamics for interacting BosonsSep 13 2018Mar 25 2019We consider interacting $N$-Bosons in three dimensions. It is known that the difference between the many-body Schr\"odinger evolution in the mean-field regime and the corresponding Hartree dynamics is of order $1/N$. We investigate the time dependence ... More

Pointwise convergence of solutions to Schrödinger equationsNov 05 2007Nov 13 2007We study pointwise convergence of the solutions to Schr\"odinger equations with initial datum $f\in H^s(\mathbb R^n)$. The conjecture is that the solution $e^{it\Delta}f$ converges to $f$ almost everywhere for all $f\in H^s(\mathbb R^n)$ if and only if ... More

Nondecoupling of Heavy Mirror-FermionMar 11 1994According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in the strong coupling regime of the chiral $U(1)$ mirror-fermion ... More

Some 3-dimensional transverse C-links (Constructions of higher-dimensional C-links, I)Aug 20 2015By use of a variety of techniques (most based on constructions of quasipositive knots and links, some old and others new), many smooth 3-manifolds are realized as transverse intersections of complex surfaces in complex 3-space with strictly pseudoconvex ... More

The derivation of Markov processes that violate detailed balanceAug 01 2017Feb 22 2018Time-reversal symmetry of microscopic laws dictates that the equilibrium distribution of a stochastic process must obey the detailed balance. On the other hand, cyclic Markov processes that do not admit equilibrium distributions with detailed balance, ... More

Geometric Adaptive Control for Aerial Transportation of a Rigid BodyMar 03 2015This paper is focused on tracking control for a rigid body payload, that is connected to an arbitrary number of quadrotor unmanned aerial vehicles via rigid links. A geometric adaptive controller is constructed such that the payload asymptotically follows ... More

Global Exponential Attitude Tracking Controls on SO(3)Sep 13 2012Dec 09 2014This paper presents four types of tracking control systems for the attitude dynamics of a rigid body. First, a smooth control system is constructed to track a given desired attitude trajectory, while guaranteeing almost semi-global exponential stability. ... More

Klein factors and Fermi-Bose EquivalenceDec 21 2015Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that $(1+1)$ dimensional fermion theories with arbitrary number of species are mapped onto the corresponding boson theories with the same ... More

Chiral Vacuum Alignment in Dense QCDMay 31 2000Dec 04 2000We discuss an interesting possibility of nontrivial, quark-mass induced chiral vacuum alignment in color-flavor locking phase of cold, dense QCD. With the simplifying assumption that the gaps for quarks are identical to those of antiquarks and the light ... More

Higher Dimensional Operator Corrections to the Goldstino Goldberger-Treiman VerticesDec 21 1998Oct 02 1999The goldstino-matter interactions given by the Goldberger-Treiman relations can receive higher dimensional operator corrections of $ O(q^{2}/M^{2})$, where $M$ denotes the mass of the mediators through which SUSY breaking is transmitted. These corrections ... More

The Entropy of the BTZ Black Hole and AdS/CFT CorrespondenceJun 15 1998We construct an action, which governs the dynamics of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole and perform the canonical quantization. The quantum action is given by a $SL(2,R)$ Wess-Zumino-Witten model on the boundary coupled to the classical ... More

Chiral radiative corrections in potential model and the P-wave states of heavy-light mesonsMar 05 2008In relativistic potential model of heavy-light mesons it is essential to incorporate the chiral radiative corrections before comparing the model predictions with data. Once the radiative corrections are taken into account the potential model can explain ... More

Surviving the renormalon in heavy quark potentialOct 02 2002Dec 02 2002We show that the Borel resummed perturbative static potential at N_f=0 converges well, and is in a remarkable agreement with the quenched lattice calculation at distances 1/r > 660 MeV. This shows that Borel resummation is very good at handling the renormalon ... More

Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum MechanicsNov 04 2007We study the rolling tachyon and the dissipative quantum mechanics using the Thirring model with a boundary mass. We construct a boundary state for the dissipative quantum system in one dimension, which describes the system at the off-critical points ... More