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A Generalization Method of Partitioned Activation Function for Complex NumberFeb 08 2018A method to convert real number partitioned activation function into complex number one is provided. The method has 4em variations; 1 has potential to get holomorphic activation, 2 has potential to conserve complex angle, and the last 1 guarantees interaction ... More

Deconvolutional Feature Stacking for Weakly-Supervised Semantic SegmentationFeb 16 2016Mar 12 2016A weakly-supervised semantic segmentation framework with a tied deconvolutional neural network is presented. Each deconvolution layer in the framework consists of unpooling and deconvolution operations. 'Unpooling' upsamples the input feature map based ... More

The Cost of Bounded CurvatureJun 30 2011Nov 02 2012We study the motion-planning problem for a car-like robot whose turning radius is bounded from below by one and which is allowed to move in the forward direction only (Dubins car). For two robot configurations $\sigma, \sigma'$, let $\ell(\sigma, \sigma')$ ... More

Semantic Noise Modeling for Better Representation LearningNov 04 2016Latent representation learned from multi-layered neural networks via hierarchical feature abstraction enables recent success of deep learning. Under the deep learning framework, generalization performance highly depends on the learned latent representation ... More

Observation of the Far-ultraviolet Continuum Background with SPEAR/FIMSJun 23 2010Aug 09 2011We present the general properties of the far-ultraviolet (FUV; 1370-1720A) continuum background over most of the sky, obtained with the Spectroscopy of Plasma Evolution from Astrophysical Radiation instrument (SPEAR, also known as FIMS), flown aboard ... More

Multiple-stage structure transformation of organic-inorganic hybrid perovskite CH3NH3PbI3Apr 10 2016By performing spatially resolved Raman and photoluminescence spectroscopy with varying excitation wavelength, density, and data acquisition parameters, we have achieved a unified understanding towards the spectroscopy signatures of the organic-inorganic ... More

Short-baseline Reactor Neutrino OscillationJan 24 2017Jan 31 2017The successful measurements of the smallest neutrino mixing angle, $\theta_{13}$, in 2012 by the short (1$\sim$2 km) baseline reactor neutrinos experiments, Daya Bay, RENO, and Double Chooz, have triggered a golden age of neutrino physics. The three experiments ... More

New Results from RENO using 1500 Days of DataOct 23 2017Oct 29 2017RENO (Reactor Experiment for Neutrino Oscillation) is the first reactor neutrino experiment which began data-taking in 2011 with two identical near and far detectors in Yonggwang, Korea. Using 1500 live days of data, sin^2(2{\theta}_13) and |{\Delta}m^2_ee| ... More

Physics Potentials of the Hyper-Kamiokande Second Detector in KoreaNov 16 2018Hyper-Kamiokande (Hyper-K) succeeds the very successful Super-K experiment and will consist of a large detector filled with 260~kton purified water and equipped with 40\% photo-coverage. Physics program of Hyper-K is broad, covering from particle physics ... More

On the structure of braid groups on complexesAug 15 2015We consider the braid groups $\mathbf{B}_n(X)$ on finite simplicial complexes $X$, which are generalizations of those on both manifolds and graphs that have been studied already by many authors. We figure out the relationships between geometric decompositions ... More

New Results from RENODec 15 2013RENO (Reactor Experiment for Neutrino Oscillation) is an experiment dedicated to measure the smallest neutrino mixing angle {\theta}_13 using reactor neutrinos in Korea. Our first result measured in 2012 using about 220 live days of data showed non-zero ... More

Characteristics of graph braid groupsJan 13 2011We give formulae for the first homology of the $n$-braid group and the pure 2-braid group over a finite graph in terms of graph theoretic invariants. As immediate consequences, a graph is planar if and only if the first homology of the $n$-braid group ... More

Constraints on supernovae dimming from photon-pseudo scalar couplingJul 29 2005An alternative mechanism that dims high redshift supernovae without cosmic acceleration utilizes an oscillation of photons into a pseudo-scalar particle during transit. Since angular diameter distance measures are immune to the loss of photons, this ambiguity ... More

Dark Energy TomographyDec 08 2003We study how parameter error forecasts for tomographic cosmic shear observations are affected by sky coverage, density of source galaxies, inclusion of CMB experiments, simultaneou fitting of non--dark energy parameters, and the parametrization of the ... More

On the Number of Edges of Fan-Crossing Free GraphsNov 08 2013A graph drawn in the plane with n vertices is k-fan-crossing free for k > 1 if there are no k+1 edges $g,e_1,...e_k$, such that $e_1,e_2,...e_k$ have a common endpoint and $g$ crosses all $e_i$. We prove a tight bound of 4n-8 on the maximum number of ... More

Sample Greedy Based Task Allocation for Multiple Robot SystemsJan 10 2019This paper addresses the task allocation problem for multi-robot systems. The main issue with the task allocation problem is inherent complexity that makes finding an optimal solution within a reasonable time almost impossible. To hand the issue, this ... More

Number of points of a nonsingular hypersurface in an odd-dimensional projective spaceNov 08 2016The numbers of $\mathbb{F}_q$-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which ... More

Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of TalliniMar 11 2009Sep 11 2009Our concern is a nonsingular plane curve defined over a finite field of q elements which includes all the rational points of the projective plane over the field. The possible degree of such a curve is at least q+2. We prove that nonsingular plane curves ... More

Constraints on the Solar $Δm^2$ using Daya Bay & RENOAug 28 2018Feb 14 2019We demonstrate that the currently running short baseline reactor experiments, especially Daya Bay, can put a significant upper bound on $\Delta m^2_{21}$. This novel approach to determining $\Delta m^2_{21}$ can be performed with the current data of both ... More

Development and Mass Production of a Mixture of LAB- and DIN-based Gadolinium-loaded Liquid Scintillator for the NEOS Short-baseline Neutrino ExperimentNov 16 2015A new experiment, which is called as NEOS (NEutrino Oscillation at Short baseline), is proposed on the site of Hanbit reactors at Yonggwang, South Korea, to investigate a reactor antineutrino anomaly. A homogeneous NEOS detector having a 1000-L target ... More

Smart Context-aware Rejuvenation of Engagement on Urban Ambient Augmented ThingsMar 09 2016The concern over global urbanization trend imposes smart-city as enabling information and communication technology (ICT) to improve urban governance. However, the light trance on better living space is stimulated by socioeconomic impact of escalated senior ... More

Parametric Bayesian Rejuvenation in Ambient Assisted Living through Software-based Thematic 5G ManagementJan 23 2016Ameliorating elderly engagement is vital in rejuvenating independent living. However, recommended practices lack realization of personal traits despite socio -economic promise. The recent proliferation of IoT with the advent of smart-objects/things and ... More

In-Situ Measurement of Relative Attenuation Length of Gadolinium-Loaded Liquid Scintillator Using Source Data at RENO ExperimentSep 29 2016We present an in-situ method of measuring the relative attenuation length of gadolinium-loaded liquid scintillator in the RENO detectors using radioactive source calibration data without requiring any PMT performance model. We observed the degradation ... More

Graph 4-braid groups and Massey productsJul 14 2014We first show that the braid group over a graph topologically containing no $\Theta$-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains ... More

Spin 3/2 Baryons and Form Factors in AdS/QCDApr 23 2009We study the 5D Rarita-Schwinger fields to describe spin 3/2 baryons in AdS/QCD. We calculate the spectrum of spin 3/2 baryons (Delta resonances) and their form factors, together with meson-baryon couplings from AdS/QCD. The transition form-factors between ... More

Spectral Measurement of the Electron Antineutrino Oscillation Amplitude and Frequency using 500 Live Days of RENO DataOct 14 2016May 16 2018The Reactor Experiment for Neutrino Oscillation (RENO) has been taking electron antineutrino ($\overline{\nu}_{e}$) data from the reactors in Yonggwang, Korea, using two identical detectors since August 2011. Using roughly 500 live days of data through ... More

Graph braid groups and right-angled Artin groupsMay 01 2008Jun 13 2010We give a necessary and sufficient condition for a graph to have a right-angled Artin group as its braid group for braid index $\ge 5$. In order to have the necessity part, graphs are organized into small classes so that one of homological or cohomological ... More

Large-Scale Tests of the DGP ModelJun 13 2006Feb 10 2007The self-accelerating braneworld model (DGP) can be tested from measurements of the expansion history of the universe and the formation of structure. Current constraints on the expansion history from supernova luminosity distances, the CMB, and the Hubble ... More

Holographic Limitations of the Effective Field Theory of InflationNov 24 2002Jan 17 2003Holographic considerations may provide a glimpse of quantum gravity beyond what is currently accessible by other means. Here we apply holography to inflationary cosmology. We argue that the appropriate holographic bound on the total entropy in the inflationary ... More

Orchestrating Product Provenance Story: When IOTA ECOSYSTEM Meets The Electronics Supply Chain SpaceFeb 12 2019"Trustworthy data" is the fuel for ensuring the transparent traceability, precise decision-making, and cogent coordination in the supply chain (SC) space. However, the disparate data silos act as a trade barrier in orchestrating the provenance of product ... More

Ultraviolet Radiative Transfer Modeling of Nearby Galaxies with Extraplanar DustsNov 12 2015In order to examine their relation to the host galaxy, the extraplanar dust of six nearby galaxies are modeled, employing a three dimensional Monte Carlo radiative transfer code. The targets are from the highly-inclined galaxies that show dust-scattered ... More

Hitchin components for orbifoldsNov 13 2018Nov 14 2018We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of Higher Teichm\"{u}ller spaces. We show that the Hitchin component of an orbifold group is homeomorphic to an open ball, and we compute ... More

On shellability for a poset of even subgraphs of a graphMay 18 2017Feb 08 2018Given a simple graph $G$, a poset of its even subgraphs was firstly considered by S. Choi and H. Park to study the topology of a real toric manifold associated with $G$. S. Choi and the authors extended this to a graph allowing multiple edges, motivated ... More

Evolution of Kinetic and Magnetic Energy in Intra Cluster MediaApr 12 2015Jul 13 2015Intra Cluster Media (ICMs) located at galaxy clusters is in the state of hot, tenuous, magnetized, and highly ionized X-ray emitting plasmas. This overall collisionless, viscous, and conductive magnetohydrodynamic (MHD) turbulence in ICM is simulated ... More

Distributed stabilization control of rigid formations with prescribed orientationJun 10 2016Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed orientations in ... More

Distance-based Control of K4 Formation with Almost Global ConvergenceJun 06 2016In this paper, we propose a distance-based formation control strategy that can enable four mobile agents, which are modelled by a group of single-integrators, to achieve the desired formation shape specified by using six consistent inter-agent distances ... More

Clipping Noise Cancellation for OFDM and OFDMA Systems Using Compressed SensingOct 19 2011Dec 08 2011In this paper, we propose clipping noise cancellation scheme using compressed sensing (CS) for orthogonal frequency division multiplexing (OFDM) systems. In the proposed scheme, only the data tones with high reliability are exploited in reconstructing ... More

Identifying ECUs Using Inimitable Characteristics of Signals in Controller Area NetworksJul 02 2016In the last several decades, the automotive industry has come to incorporate the latest Information and Communications (ICT) technology, increasingly replacing mechanical components of vehicles with electronic components. These electronic control units ... More

Generalized Cross-correlation Properties of Chu SequencesAug 05 2008In this paper, we analyze the cross-correlation properties for Chu sequences, which provide information on the distribution of the maximum magnitudes of the cross-correlation function. Furthermore, we can obtain the number of available sequences for a ... More

Graph invariants and Betti numbers of real toric manifoldsDec 31 2017May 01 2018For a graph $G$, a graph cubeahedron $\square_G$ and a graph associahedron $\triangle_G$ are simple convex polytopes which admit (real) toric manifolds. In this paper, we introduce a graph invariant, called the $b$-number, and we show that the $b$-numbers ... More

Honeycomb Charge Ordering in IrTe$_2$May 04 2015We report on the observation of a unique honeycomb charge ordering of the cleaved IrTe$_2$ surface by high-resolution scanning tunneling microscopy (STM) and spectroscopy (STS). IrTe$_2$ was recently established to exhibit intriguing stripe charge orderings. ... More

Is Dust Cloud around $λ$ Orionis a Ring or a Shell, or Both?May 22 2015The dust cloud around $\lambda$ Orionis is observed to be circularly symmetric with a large angular extent ($\approx$ 8 degrees). However, whether the three-dimensional (3D) structure of the cloud is shell- or ring-like has not yet been fully resolved. ... More

On the Properties of Cubic Metric for OFDM SignalsJun 23 2015As a metric for amplitude fluctuation of orthogonal frequency division multiplexing (OFDM) signal, cubic metric (CM) has received an increasing attention because it is more closely related to the distortion induced by nonlinear devices than the well-known ... More

Anomalous polarization dependence of Raman scattering and crystallographic orientation of black phosphorusOct 12 2015Nov 09 2015We investigated polarization dependence of the Raman modes in black phosphorus (BP) using five different excitation wavelengths. The crystallographic orientation was determined by comparing polarized optical microscopy with high-resolution transmission ... More

Construction of High-Rate Regular Quasi-Cyclic LDPC Codes Based on Cyclic Difference FamiliesNov 16 2012For a high-rate case, it is difficult to randomly construct good low-density parity-check (LDPC) codes of short and moderate lengths because their Tanner graphs are prone to making short cycles. Also, the existing high-rate quasi-cyclic (QC) LDPC codes ... More

Design of Multiple-Edge Protographs for QC LDPC Codes Avoiding Short Inevitable CyclesOct 15 2012There have been lots of efforts on the construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes with large girth. However, most of them are focused on protographs with single edges and little research has been done for the construction ... More

A construction of slice knots via annulus modificationsDec 01 2015We define an operation on homology ${B}^4$ which we call an $n$-twist annulus modification. We give a new construction of smoothly slice knots and exotically slice knots via $n$-twist annulus modifications. As an application, we present a new example ... More

The Geography of Spin Symplectic 4-ManifoldsAug 22 2000Aug 31 2001In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points $(\chi, c)$ lying in $0 \leq c \leq 8.76\chi$. Furthermore, as a corollary, we prove that there ... More

Exotic smooth structures on 3{CP}^2#8{-CP}^2Jul 05 2005Aug 29 2005Motivated by Stipsicz and Szab\'{o}'s exotic 4-manifolds with b_2^+=3 and b_2^-=8, we construct a family of simply connected smooth 4-manifolds with b_2^+=3 and b_2^-=8. As a corollary, we conclude that the topological 4-manifold 3{CP}^2#8{-CP}^2 admits ... More

Rigorous Approach to the Gravitational LensingApr 28 2008Jul 18 2008We revisit a weak gravitational lensing problem by constructing a setup which describes the actual system as accurately as possible and solving the null geodesic equations. Details are given for the case of a Universe driven only by a cosmological constant, ... More

A Generalization of Multiple Choice Balls-into-Bins: Tight BoundsJan 16 2012Jul 11 2016This paper investigates a general version of the multiple choice model called the $(k,d)$-choice process in which $n$ balls are assigned to $n$ bins. In the process, $k<d$ balls are placed into $k$ least loaded out of $d$ bins chosen independently and ... More

A Quantile Implementation of the EM Algorithm and Its Applications to Parameter Estimation with Interval DataMar 20 2012The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the expectation in each ... More

Note on the closed-form MLEs of k-component load-sharing systemsMar 16 2012Recently Kim and Kvam (2004) and Singh, Sharma, Kumar (2008) proposed different load-sharing models and developed parametric inference for the these models. However, their parametric estimates are calculated using iterative numerical methods. In this ... More

Holographic entanglement entropy in the nonconformal mediumJan 13 2015Mar 05 2015We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its thermodynamics can ... More

Geometric models of twisted differential K-theory IFeb 06 2016Nov 27 2016This is the first in a series of papers constructing geometric models of twisted differential K-theory. In this paper we construct a model of even twisted differential K-theory when the underlying topological twist represents a torsion class. By differential ... More

Euler-Lagrange formulas for pseudo-Kaehler manifoldsMay 12 2015Let $c$ be a characteristic form of degree $k$ which is defined on a Kaehler manifold of real dimension $m>2k$. Taking the inner product with the Kaehler form $\Omega^k$ gives a scalar invariant which can be considered as a generalized Lovelock functional. ... More

Positive Toeplitz operators on Large Bergman spaces in the unit diskOct 30 2014Nov 04 2014We study positive Toeplitz operators on the Bergman spaces having the fast decreasing weight functions in a certain class. We give the characterizations for the boundedness and compactness of Toeplitz operators in terms of their Berezin transforms and ... More

Greenberger-Horne-Zeilinger Symmetry in Four Qubit SystemNov 30 2016Like a three-qubit Greenberger-Horne-Zeilinger(GHZ) symmetry we explore a corresponding symmetry in the four-qubit system, which we call GHZ$_4$ symmetry. While whole GHZ-symmetric states can be represented by two real parameters, the whole set of the ... More

A Hochschild-cyclic approach to additive higher Chow cyclesFeb 14 2008Over a field of characteristic zero, we introduce two motivic operations on additive higher Chow cycles: analogues of the Connes boundary $B$ operator and the shuffle product on Hochschild complexes. The former allows us to apply the formalism of mixed ... More

Mislin's theorem for fusion systems via Mackey functorsDec 31 2013Jan 20 2014We state and prove a fusion system version of Mislin's theorem \cite{Mislin1990} on cohomology and control of fusion, following Symonds's proof \cite{Symonds2004} of Mislin's theorem using Mackey functors.

Minimum distance of Hermitian two-point codesFeb 01 2009We prove a formula for the minimum distance of two-point codes on a Hermitian curve.

$P_1$-nonconforming divergence-free finite element method on square meshes for Stokes equationsSep 19 2016Nov 25 2018Recently, the $P_1$-nonconforming finite element space over square meshes has been proved stable to solve Stokes equations with the piecewise constant space for velocity and pressure, respectively. In this paper, we will introduce its locally divergence-free ... More

An asymptotic for the average number of amicable pairs for elliptic curvesOct 22 2014Jan 25 2016Amicable pairs for a fixed elliptic curve defined over $\mathbb{Q}$ were first considered by Silverman and Stange where they conjectured an order of magnitude for the function that counts such amicable pairs. This was later refined by Jones to give a ... More

On higher syzygies of ruled surfaces IINov 01 2004In this article we we continue the study of property $N_p$ of irrational ruled surfaces begun in \cite{ES}. Let $X$ be a ruled surface over a curve of genus $g \geq 1$ with a minimal section $C_0$ and the numerical invariant $e$. When $X$ is an elliptic ... More

On higher syzygies of ruled surfacesJan 10 2004Sep 22 2004We study higher syzygies of a ruled surface $X$ over a curve of genus $g$ with the numerical invariant $e$. Let $L \in {Pic}X$ be a line bundle in the numerical class of $aC_0 +bf$. We prove that for $0 \leq e \leq g-3$, $L$ satisfies property $N_p$ if ... More

On secant loci and simple linear projections of some projective varietiesAug 14 2008In this paper, we study how simple linear projections of some projective varieties behave when the projection center runs through the ambient space. More precisely, let $X \subset \P^r$ be a projective variety satisfying Green-Lazarsfeld's property $N_p$ ... More

P-adic family of half-integral weight modular forms via overconvergent Shintani liftingJul 06 2006Nov 01 2006The goal of this paper is to construct the p-adic analytic family of overconvergent half-integral weight modular forms using Hecke-equivariant overconvergent Shintani lifting. The classical Shintani map is the Hecke-equivariant map from the space of cusp ... More

Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systemsNov 19 2010Continuing our previous work, we determine a minimal left characteristic biset $X$ for every exotic fusion system $\mathcal{F}$ on the extraspecial group $S$ of order $7^3$ and exponent $7$ discovered by Ruiz and Viruel, and analyze the finite group $G$ ... More

Discriminators of quadratic polynomialsAug 17 2013Given $f \in \mathbb{Z}[x]$ and $n \in \mathbb{Z^{+}}$, the $\emph{discriminator}$ $D_f(n)$ is the smallest positive integer $m$ such that $f(1), \ldots, f(n)$ are distinct mod $m$. In a recent paper, Z.-W. Sun proved that $D_f(n) = d^{\lceil \log_d n ... More

The weighted fusion category algebra and the q-Schur algebra for \mathrm{GL}_2(q)Nov 10 2007We show that the weighted fusion category algebra of the principal 2-block $b_0$ of $\mathrm{GL}_2(q)$ is the quotient of the $q$-Schur algebra $\mathcal{S}_2(q)$ by its socle, for $q$ an odd prime power. As a consequence, we get a canonical bijection ... More

A smooth variant of Hopkins-Singer differential K-theoryJul 29 2016We introduce a smooth variant of the Hopkins-Singer model of differential K-theory. We prove that our model is naturally isomorphic to the Hopkins-Singer model and also to the Tradler-Wilson-Zeinalian model of differential K-theory.

Spectral geometry of $eta$-Einstein Sasakian manifoldsApr 12 2012We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined. We also prove that the condition that a ... More

Equivariant K-theory and the Chern character for discrete groupsOct 29 2010Let $X$ be a compact Hausdorff space, let $\Gamma$ be a discrete group that acts continuously on $X$ from the right, define $\widetilde{X} = \{(x,\gamma) \in X \times \Gamma : x\cdot\gamma= x\}$, and let $\Gamma$ act on $\widetilde{X}$ via the formula ... More

On Higher Syzygies of ruled varieties over a curveJan 05 2004Sep 08 2004For a vector bundle $\mathcal{E}$ of rank $n+1$ over a smooth projective curve $C$ of genus $g$, let $X=\P_C (\mathcal{E})$ with projection map $\pi:X\to C$. In this paper we investigate the minimal free resolution of homogeneous coordinate rings of $X$. ... More

Quantum Aspects of Massive GravitySep 22 2010We consider the effect of quantum interactions on Pauli-Fierz massive gravity. With generic graviton cubic interactions, we observe that the 1-loop counterterms do not conform to the tree level structure of Pauli-Fierz action, resulting in the reappearance ... More

Arithmetic properties of generalized Fibonacci sequencesJul 30 2014The generalized Fibonacci sequences are sequences $\{f_n\}$ which satisfy the recurrence $f_n(s, t) = sf_{n - 1}(s, t) + tf_{n - 2}(s, t)$ ($s, t \in \mathbb{Z}$) with initial conditions $f_0(s, t) = 0$ and $f_1(s, t) = 1$. In a recent paper, Amdeberhan, ... More

Radiation-Induced Zero-Resistance State at Low Magnetic Fields and near Half Filling of the Lowest Landau LevelDec 01 2003May 18 2004We theoretically predict the radiation-induced ``zero-resistance state'' near half filling of the lowest Landau level, which is caused by the photon-assisted transport in the presence of oscillating density of states due to composite fermion Landau levels, ... More

Kondo effect of non-magnetic impurities and the co-existing charge order in the cuprate superconductorsMar 06 2002We present a theory of Kondo effect caused by an induced magnetic moment near non-magnetic impurities such as Zn and Li in the cuprate superconductors. Based on the co-existence of charge order and superconductivity, a natural description of the induced ... More

Logarithmic Corrections to the Entanglement EntropyMay 15 2015Dec 31 2015In a $d$-dimensional conformal field theory, it has been known that a relevant deformation operator with the conformal dimension, $\Delta=\frac{d+2}{2}$, generates a logarithmic correction to the entanglement entropy. In the large 't Hooft coupling limit, ... More

Reduction modulo $p$ of certain semi-stable representationsApr 09 2014Nov 25 2014Let $p>3$ be a prime number and let $G_{\mathbb{Q}_p}$ be the absolute Galois group of $\mathbb{Q}_p$. In this paper, we find Galois stable lattices in the irreducible $3$-dimensional semi-stable and non-crystalline representations of $G_{\mathbb{Q}_p}$ ... More

Holographic aspects of a relativistic non-conformal theorySep 05 2012May 16 2013We study a general D-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate ... More

Meson's Correlation Functions in a Nuclear MediumMar 13 2016Jun 27 2016We investigate meson's spectrum, decay constant and form factor in a nuclear medium through holographic two- and three-point correlation functions. To describe a nuclear medium composed of protons and neutrons, we consider a hard wall model on the thermal ... More

Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch VectorsMay 26 2010So far there is no closed formula for relative entropy of entanglement of arbitrary two-qubit states. In this paper we present a method, which guarantees the derivation of the relative entropy of entanglement for most states that have $z$-directional ... More

Entanglement Classification of Restricted Greenberger-Horne-Zeilinger Symmetric States in Four-Qubit SystemMay 09 2013May 21 2014Similar to the three-qubit Greenberger-Horne-Zeilinger (GHZ) symmetry we explore the four-qubit GHZ symmetry group and its subgroup called restricted GHZ symmetry group. While the set of symmetric states under the whole group transformation is represented ... More

Quiver varieties and adjoint crystals of level $\ell$ for type $A_n^{(1)}$Nov 26 2010Aug 31 2012Let $B(\Lambda)$ be a level $\ell$ highest weight crystal of the quantum affine algebra $U_q(A_n^{(1)})$. We construct an explicit crystal isomorphism between the geometric realization $\gB(\Lambda)$ of the crystal $B(\Lambda)$ using quiver varieties ... More

The tame symbol and determinants of Toeplitz operatorsMay 27 2009Jan 19 2010Suppose that $\phi$ and $\psi$ are smooth complex-valued functions on the circle that are invertible, have winding number zero with respect to the origin, and have meromorphic extensions to an open neighborhood of the closed unit disk. Let $T_\phi$ and ... More

Toric manifolds over cyclohedraSep 11 2017We study the action of the dihedral group on the (equivariant) cohomology of the toric manifolds associated with cycle graphs.

Matrix Inequality for the Laplace EquationApr 25 2017Apr 26 2017Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent ... More

Sparsity-Preserving Difference of Positive Semidefinite Matrix Representation of Indefinite MatricesSep 21 2016We consider the problem of writing an arbitrary symmetric matrix as the difference of two positive semidefinite matrices. We start with simple ideas such as eigenvalue decomposition. Then, we develop a simple adaptation of the Cholesky that returns a ... More

Almost universality of a sum of normsFeb 11 2013Nov 26 2015In this paper the author considers a particular type of polynomials with integer coefficients, consisting of a perfect power and two norm forms of abelian number fields with coprime discriminants. It is shown that such a polynomial represents every natural ... More

Algebraic cycles and Connes periodicityJul 12 2006We apply the classical technique on cyclic objects of Alain Connes to various objects, in particular to the higher Chow complex of S. Bloch to prove a Connes periodicity long exact sequence involving motivic cohomology groups. The Cyclic higher Chow groups ... More

Entanglement Degradation in the presence of $(4+n)$-dimensional Schwarzschild Black HoleAug 31 2012Mar 05 2013In this short paper we compute the various bipartite quantum correlations in the presence of the $(4+n)$-dimensional Schwarzschild black hole. In particular, we focus on the $n$-dependence of various bosonic bipartite entanglements. For the case between ... More

Tripartite Entanglement Dynamics in the presence of Non-Markovian EnvironmentJan 03 2016May 13 2016We study on the tripartite entanglement dynamics when each party is initially entangled with other parties, but they locally interact with their own non-Markovian environment. First, we consider three GHZ-type initial states, all of which have GHZ symmetry ... More

Almost h-conformal slant submersions from almost quaternionic Hermitian manifoldsJan 02 2018Aug 20 2018We introduce the notions of h-conformal slant submersions and almost h-conformal slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, ... More

Non-complex symplectic 4-manifolds with $b_{2}^{+}=1$Aug 31 2001In this short article we give a criterion whether a given minimal symplectic 4-manifold with $b_{2}^{+}=1$ having a torsion-free canonical class is rational or ruled. As a corollary, we confirm that most of homotopy elliptic surfaces $E(1}_{K}$, K is ... More

Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cuspsNov 15 2001Dec 21 2005We study the eta invariants of Dirac operators and the regularized determinants of Dirac Laplacians over hyperbolic manifolds with cusps. We follow Werner M"uller and use relative traces to define these spectral invariants. We show the regularity of eta ... More

Milnor's triple linking numbers and derivatives of genus three knotsMar 30 2016A derivative of an algebraically slice knot $K$ is an oriented link disjointly embedded in a Seifert surface of $K$ such that its homology class forms a basis for a metabolizer $H$ of $K$. We show that for a genus three algebraically slice knot $K$, the ... More

Comparison of the $π$ and $Δ$ operator approximations for the two-dimensional t-J modelJul 28 1999We compare the spectra of the new $\pi$ operator of the SO(5) theory and the conventional $\Delta$ operator for the two-dimensional t-J model. We also calculate the weight transferred to the two-hole ground state from half-filling by these operators. ... More

Realizing fusion systems inside finite groupsAug 23 2015We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work \cite{Park2010} and complements the related result \cite{LearyStancu2007} ... More

Counting conjugacy classes of cyclic subgroups for fusion systemsJul 09 2013We give another proof of an observation of Th\'evenaz \cite{T1989} and present a fusion system version of it. Namely, for a saturated fusion system $\CF$ on a finite $p$-group $S$, we show that the number of the $\CF$-conjugacy classes of cyclic subgroups ... More