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Quantum transistor realized with a single $Λ$-level atom coupled to the microtoroidal cavityFeb 28 2019We propose a realization of the quantum transistor for coherent light fields for the fibre-coupled microdisk cavities. We demonstrate by combining numerical and analytical methods that both in strong coupling and bad cavity limits it is possible to change ... More

Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavitiesApr 12 2019We study the phenomenon of controllable localization-delocalization transition in a quantum many-body system composed of nitrogen-vacancy centers coupled to photonic crystal cavities, through tuning the different detunings and the relative amplitudes ... More

Bar constructions for topological operads and the Goodwillie derivatives of the identityJan 25 2005Dec 14 2005We describe a cooperad structure on the simplicial bar construction on a reduced operad of based spaces or spectra and, dually, an operad structure on the cobar construction on a cooperad. We also show that if the homology of the original operad (respectively, ... More

On the existence of dense substructures in finite groupsFeb 21 2019Fix $k \geq 6$. We prove that any large enough finite group $G$ contains $k$ elements which span quadratically many triples of the form $(a,b,ab) \in S \times G$, given any dense set $S \subseteq G \times G$. The quadratic bound is asymptotically optimal. ... More

A note on the composition product of symmetric sequencesOct 23 2005Apr 03 2012We consider the composition product of symmetric sequences in the case where the underlying symmetric monoidal structure does not commute with coproducts. Even though this composition product is not a monoidal structure on symmetric sequences, it has ... More

Siamese Network of Deep Fisher-Vector Descriptors for Image RetrievalFeb 01 2017This paper addresses the problem of large scale image retrieval, with the aim of accurately ranking the similarity of a large number of images to a given query image. To achieve this, we propose a novel Siamese network. This network consists of two computational ... More

Out of equilibrium electronic transport properties of a misfit cobaltite thin filmNov 02 2005We report on transport measurements in a thin film of the 2D misfit Cobaltite $Ca_{3}Co_{4}O_{9}$. Dc magnetoresistance measurements obey the modified variable range hopping law expected for a soft Coulomb gap. When the sample is cooled down, we observe ... More

It's all Relative: Monocular 3D Human Pose Estimation from Weakly Supervised DataMay 17 2018Jul 28 2018We address the problem of 3D human pose estimation from 2D input images using only weakly supervised training data. Despite showing considerable success for 2D pose estimation, the application of supervised machine learning to 3D pose estimation in real ... More

Spectroscopic Surveys: PresentJun 29 2007Jun 29 2007I summarize the current spectroscopic sky surveys and some of the scientific results, emphasizing the largest sky survey to-date, the Sloan Digital Sky Survey (SDSS). Techniques used commonly in spectral analyses are discussed, followed by the present ... More

Exact Mappings in Condensed Matter PhysicsSep 07 2016Condensed matter systems are complex yet simple. Amidst their complexity, one often find order specified by not more than a few parameters. Key to such a reductionistic description is an appropriate choice of basis, two of which I shall describe in this ... More

The Relation Between the Quasi-localized Energy Complexes and the Thermodynamic Potential for the Schwarzschild-de Sitter Black HoleSep 25 2016The Schwarzschild-de Sitter (SdS) black hole solution, which has two event horizons, is considered to examine the relation between the quasi-localized energy complexes on ${\cal M}$ and the heat flows passing through its boundary $\partial {\cal M}$. ... More

Resonant Absorption between Moving Atoms due to Doppler Frequency Shift and Quantum Energy VariationAug 23 2002By taking both the Doppler frequency shift for electromagnetic wave and the quantum energy variation of matter wave into consideration, a resonant-absorption condition based on the local-ether wave equation is presented to account for a variety of phenomena ... More

An Ignored Mechanism for the Longitudinal Recoil Force in Railguns and Revitalization of the Riemann Force LawJun 06 2005The electric induction force due to a time-varying current is used to account for the longitudinal recoil force exerted on the rails of railgun accelerators. As observed in the experiments, this induction force is longitudinal to the rails and can be ... More

The Brown-Erdős-Sós Conjecture in finite abelian groupsJan 28 2019The Brown-Erd\H{o}s-S\'{o}s conjecture, one of the central conjectures in extremal combinatorics, states that for any integer $m\geq 6,$ if a 3-uniform hypergraph on $n$ vertices contains no $m$ vertices spanning at least $m-3$ edges, then the number ... More

Operator Ideals arising from Generating SequencesJan 11 2011In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be ... More

Analysis of Decimation on Finite Frames with Sigma-Delta QuantizationMar 08 2018Jan 28 2019In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the reconstruction ... More

Varieties fibered by good minimal modelsDec 15 2009Feb 03 2010Let f:X->Y be an algebraic fiber space such that the general fiber has a good minimal model. We show that if f is the Iitaka fibration or if f is the Albanese map of relative dimension no more than three, then X has a good minimal model.

Cultivating DNN Diversity for Large Scale Video LabellingJul 13 2017We investigate factors controlling DNN diversity in the context of the Google Cloud and YouTube-8M Video Understanding Challenge. While it is well-known that ensemble methods improve prediction performance, and that combining accurate but diverse predictors ... More

Order selection for same-realization predictions in autoregressive processesFeb 15 2006Assume that observations are generated from an infinite-order autoregressive [AR($\infty$)] process. Shibata [Ann. Statist. 8 (1980) 147--164] considered the problem of choosing a finite-order AR model, allowing the order to become infinite as the number ... More

Nontrivial surface topological physics from strong and weak topological insulators and superconductorsOct 05 2014We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well known to possess ... More

On the Energy of Vaidya Space-timeMay 30 2006Mar 20 2009In this paper we calculate the energy distribution of six cases of Vaidya-solutions in the M{\o}ller prescription. Except the energy complex of M{\o}ller for the monopole solution vanishes everywhere, for other solutions have non-zero energy component, ... More

The Quasi-localized Einstein and Møller Energy Complex as Thermodynamic PotentialsDec 03 2009Oct 30 2011In this article, I obtain the Einstein and M{\o}ller energy complex in PG coordinates. According to the difference of energy within radius $r$ between Einstein and M{\o}ller prescription, I could present the difference of energy within radius $r$ like ... More

A Local Limit Theorem and Delocalization of Eigenvectors for Polynomials in Two MatricesMar 19 2019Mar 20 2019We propose a boundary regularity condition for the $M_n(\mathbb{C})$-valued subordination functions in free probability to prove the local limit theorem and delocalization of eigenvectors for polynomials in two random matrices. We prove this through estimating ... More

A Wave Interpretation of the Compton Effect As a Further Demonstration of the Postulates of de BroglieJun 29 2005Jan 02 2006The Compton effect is commonly cited as a demonstration of the particle feature of light, while the wave nature of matter has been proposed by de Broglie and demonstrated by Davisson and Germer with the Bragg diffraction of electron beams. In this investigation, ... More

Modifications of the Lorentz Force Law Complying with Galilean Transformations and the Local-Ether Propagation ModelNov 05 2002It is generally expected from intuition that the electromagnetic force exerted on a charged particle should remain unchanged when observed in different reference frames in uniform translational motion. In the special relativity, this invariance is achieved ... More

Triple homomorphisms of C*-algebrasJun 10 2005In this note, we will discuss what kind of operators between C*-algebras preserves Jordan triple products {a,b,c}= (ab*c + cb*a)/2. These include especially isometries and disjointness preserving operators.

Coalgebraic models for combinatorial model categoriesMar 20 2014Sep 08 2014We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent ... More

Selecting optimal multistep predictors for autoregressive processes of unknown orderJun 22 2004We consider the problem of choosing the optimal (in the sense of mean-squared prediction error) multistep predictor for an autoregressive (AR) process of finite but unknown order. If a working AR model (which is possibly misspecified) is adopted for multistep ... More

Adapted Decimation on Finite Frames for Arbitrary Orders of Sigma-Delta QuantizationFeb 15 2019In Analog-to-digital (A/D) conversion, signal decimation has been proven to greatly improve the efficiency of data storage while maintaining high accuracy. When one couples signal decimation with the $\Sigma\Delta$ quantization scheme, the reconstruction ... More

Zero product preservers of C*-algebrasAug 28 2007Let T be be a zero-product preserving bounded linear map between C*-algebras A and B. Here neither A nor B is necessarily unital. In this note, we investigate when T gives rise to a Jordan homomorphism. In particular, we show that A and B are isomorphic ... More

A classification of Taylor towers of functors of spaces and spectraSep 25 2012Nov 07 2014We describe new structure on the Goodwillie derivatives of a functor, and we show how the full Taylor tower of the functor can be recovered from this structure. This new structure takes the form of a coalgebra over a certain comonad which we construct, ... More

Holographic Topological InsulatorSep 07 2016This research highlight (originally published at http://www.ntu.edu.sg/ias/newsletters/Documents/APPN/APPNv5n2May2016-lowres.pdf) introduces recent developments in Topological Insulators and Holography, and provides an overview of how one can construct ... More

How does certainty enter into the mind?Sep 09 2009Mar 23 2010Any problem is concerned with the mind, but what do minds make a decision on? Here we show that there are three conditions for the mind to make a certain answer. We found that some difficulties in physics and mathematics are in fact introduced by infinity, ... More

Cross-effects and the classification of Taylor towersApr 05 2014Let F be a homotopy functor with values in the category of spectra. We show that partially stabilized cross-effects of F have an action of a certain operad. For functors from based spaces to spectra, it is the Koszul dual of the little discs operad. For ... More

The triangle of operators, topologies, bornologiesJun 10 2005This paper discusses two common techniques in functional analysis: the topological method and the bornological method. In terms of Pietsch's operator ideals, we establish the equivalence of the notions of operators, topologies and bornologies. The approaches ... More

Goodwillie CalculusFeb 02 2019We survey the theory and applications of Goodwillie's calculus of homotopy functors and related topics.

Spectrum of the 1-Laplacian and Cheeger's constant on graphsDec 03 2014We develop a nonlinear spectral graph theory, in which the Laplace operator is replaced by the 1-Laplacian ?$\Delta_1$. The eigenvalue problem is to solve a nonlinear system involving a set valued function. In the study, we investigate the structure of ... More

Deep Learning for Localization in the LungMar 25 2019Lung cancer is the leading cause of cancer-related death worldwide, and early diagnosis is critical to improving patient outcomes. To diagnose cancer, a highly trained pulmonologist must navigate a flexible bronchoscope deep into the branched structure ... More

A Basis for the GL_n Tensor Product AlgebraJul 27 2004Nov 06 2005This paper focuses on the $GL_n$ tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary finite dimensional irreducible representations of $GL_n$. We will describe an explicit basis for this algebra. This construction ... More

Phase Transition of DNA-Linked Gold NanoparticleNov 01 2001Aug 28 2002Melting and hybridization of DNA-capped gold nanoparticle networks are investigated with optical absorption spectroscopy. Single-stranded, 12-base DNA-capped gold nanoparticles are linked with complementary, single-stranded, 24-base linker DNA to form ... More

Operads and chain rules for the calculus of functorsFeb 03 2009Feb 04 2009We study the structure possessed by the Goodwillie derivatives of a pointed homotopy functor of based topological spaces. These derivatives naturally form a bimodule over the operad consisting of the derivatives of the identity functor. We then use these ... More

On the energy of the de Sitter-Schwarzschild black holeJan 05 1998Using Einstein's and Weinberg's energy complex, we evaluate the energy distribution of the vaccum nonsingularity black hole solution. The energy distribution is positive everywhere and be equal to zero at origin.

On subvarieties with nef normal bundleSep 25 2016The goal of this work is to study positivity of subvarieties with nef normal bundle in the sense of intersection theory. After Ottem's work on ample subschemes, we introduce the notion of a nef subscheme, which generalizes the notion of a subvariety with ... More

Cycles in graphs of fixed girth with large sizeMar 11 2016Consider a family of graphs having a fixed girth and a large size. We give an optimal lower asymptotic bound on the number of even cycles of any constant length, as the order of the graphs tends to infinity.

Manifolds, K-theory and the calculus of functorsOct 07 2014The Taylor tower of a functor from based spaces to spectra can be classified according to the action of a certain comonad on the collection of derivatives of the functor. We describe various equivalent conditions under which this action can be lifted ... More

Integration of physical equipment and simulators for on-campus and online delivery of practical networking labsOct 02 2015Oct 11 2015This paper presents the design and development of a networking laboratory that integrates physical networking equipment with the open source GNS3 network simulators for delivery of practical networking classes simultaneously to both on-campus and online ... More

Accumulated prediction errors, information criteria and optimal forecasting for autoregressive time seriesAug 17 2007The predictive capability of a modification of Rissanen's accumulated prediction error (APE) criterion, APE$_{\delta_n}$, is investigated in infinite-order autoregressive (AR($\infty$)) models. Instead of accumulating squares of sequential prediction ... More

High mobility two-dimensional electron system on hydrogen-passivated silicon(111) surfacesJan 25 2005Jun 30 2005We have fabricated and characterized a field-effect transistor in which an electric field is applied through an encapsulated vacuum cavity and induces a two-dimensional electron system on a hydrogen-passivated Si(111) surface. This vacuum cavity preserves ... More

Integer quantum Hall effect on a six valley hydrogen-passivated silicon (111) surfaceFeb 13 2007May 14 2007We report magneto-transport studies of a two-dimensional electron system formed in an inversion layer at the interface between a hydrogen-passivated Si(111) surface and vacuum. Measurements in the integer quantum Hall regime demonstrate the expected sixfold ... More

Energy-Efficient Time Synchronization Based on Asynchronous Source Clock Frequency Recovery and Reverse Two-Way Message Exchanges in Wireless Sensor NetworksFeb 15 2016We consider energy-efficient time synchronization in a wireless sensor network where a head node (i.e., a gateway between wired and wireless networks and a center of data fusion) is equipped with a powerful processor and supplied power from outlet, and ... More

Study of Semi-supervised Approaches to Improving English-Mandarin Code-Switching Speech RecognitionJun 16 2018In this paper, we present our overall efforts to improve the performance of a code-switching speech recognition system using semi-supervised training methods from lexicon learning to acoustic modeling, on the South East Asian Mandarin-English (SEAME) ... More

Generalized Exact Holographic Mapping with WaveletsSep 07 2016The idea of renormalization is pervasive across disciplines. It has drawn numerous surprising connections between physical systems under the guise of holographic duality, and has also spurred the development of wavelet theory widely applied in computer ... More

The Two-Parameter Free Unitary Segal-Bargmann Transform and its Biane-Gross-Malliavin IdentificationJan 13 2016Sep 02 2016Motivated by the two-parameter free unitary Segal-Bargmann transform in the form of conditional expectation, we derive the integral transform representation of the two-parameter free unitary Segal-Bargmann transform which coincides to the large-$N$ limit ... More

Modifications of Schrödinger's Equation Complying with the Effect of Earth's Rotation on Quantum Energy in Atoms and with the Electromagnetic ForceAug 23 2002Recently, we have presented a local-ether wave equation incorporating a nature frequency and the electric scalar potential, from which the speed-dependences in the angular frequency and wavelength of matter wave, in the mass of particle, and in the energy ... More

Orbifold vertex operator algebras associated with coinvariant lattices of Leech latticeMay 28 2018We prove that the orbifold vertex operator algebra $V_{L_g}^{\hat{g}}$ associated with the coinvariant lattice of a unimodular lattice $L$ and an isometry $g\in O(L)$ has group-like fusion. We also determine their fusion rings and the corresponding quadratic ... More

Fujita vanishing theorems for q-ample divisors and applications on subvarieties with nef normal bundleSep 25 2016Mar 24 2017The goal of this work is to study positivity of subvarieties with nef normal bundle in the sense of intersection theory. After Ottem's work on ample subschemes, we introduce the notion of a nef subscheme, which generalizes the notion of a subvariety with ... More

An inexact Noda iteration for computing the smallest eigenpair of a large irreducible monotone matrixApr 09 2015May 21 2015In this paper, we present an inexact Noda iteration with inner-outer iterations for finding the smallest eigenvalue and the associated eigenvector of an irreducible monotone matrix. The proposed inexact Noda iteration contains two main relaxation steps ... More

The Energy for 2+1 Dimensional Black Hole SolutionsSep 27 2003Nov 05 2006The energy distributions of four 2+1 dimensional black hole solutions were obtained by using the Einstein and M{\o}ller energy-momentum complexes. while $r \to \infty$, the energy distributions of these four solutions become divergence.

On the Møller Energy-Momentum Complex of the Melvin Magnetic UniverseFeb 21 2002We use the M{\o}ller energy-momentum complex to calculate the energy of the Melvin magnetic universe. The energy distribution depends on the magnetic field.

Magnetism in 2D BN$_{1-x}$O$_x$ and B$_{1-x}$Si$_x$N: polarized itinerant and local electronsSep 27 2009Feb 23 2010We use density functional theory based first-principles methods to study the magnetism in a 2D hexagonal BN sheet induced by the different concentrations of oxygen and silicon atoms substituting for nitrogen (O$_\mathrm{N}$) and boron (Si$_\mathrm{B}$) ... More

Ising vectors in the vertex operator algebra $V_Λ^+$ associated with the Leech lattice $Λ$Oct 30 2008In this article, we study the Ising vectors in the vertex operator algebra $V_\Lambda^+$ associated with the Leech lattice $\Lambda$. The main result is a characterization of the Ising vectors in $V_\Lambda^+$. We show that for any Ising vector $e$ in ... More

Orbifold construction of holomorphic vertex operator algebras associated to inner automorphismsJan 21 2015Aug 24 2015In this article, we construct three new holomorphic vertex operator algebras of central charge $24$ using the $\mathbb{Z}_2$-orbifold construction associated to inner automorphisms. Their weight one subspaces has the Lie algebra structures $D_{7,3}A_{3,1}G_{2,1}$, ... More

A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra $F_{4,6}A_{2,2}$Dec 24 2016Feb 25 2018In this paper, a holomorphic vertex operator algebra $U$ of central charge 24 with the weight one Lie algebra $A_{8,3}A_{2,1}^2$ is proved to be unique. Moreover, a holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra $F_{4,6}A_{2,2}$ ... More

Learning with multiple representations: An example of a revision lesson in mechanicsJul 01 2012We describe an example of learning with multiple representations in an A-level revision lesson on mechanics. The context of the problem involved the motion of a ball thrown vertically upwards in air and studying how the associated physical quantities ... More

Direct Laser Micropatterning of GeSe2 Nanostructures with Controlled Optoelectrical PropertiesNov 17 2013We demonstrate that a direct focused laser beam irradiation is able to achieve localized modification on GeSe2 nanostructures (NSs) film. Using scanning focused laser beam setup, micropatterns on GeSe2 NSs film are created directly on the substrate. Controlled ... More

Green: Towards a Pollution-Free Peer-to-Peer Content Sharing ServiceAug 05 2011Peer-to-Peer (P2P) content sharing systems are susceptible to the content pollution attack, in which attackers aggressively inject polluted contents into the systems to reduce the availability of authentic contents, thus decreasing the confidence of participating ... More

Coulomb blockade in Etched Single and Few Layer MoS2 NanoribbonsApr 15 2019Confinement in two-dimensional transition metal dichalcogenides is an attractive platform for trapping single charge and spins for quantum information processing. Here, we present low temperature electron transport through etched 50-70nm MoS2 nanoribbons ... More

Hochschild and cyclic homology of preprojective algebras of ADE quiversAug 31 2006Feb 12 2008We calculate the additive structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types ADE.

A simple model for multiple-choice collective decision makingJul 31 2014Oct 08 2014We describe a simple model of heterogeneous, interacting agents making decisions between $n\ge 2$ discrete choices. For a special class of interactions, our model is the mean field description of random-field Potts-like models, and is effectively solved ... More

Multistable binary decision making on networksOct 22 2012Mar 15 2013We propose a simple model for a binary decision making process on a graph, motivated by modeling social decision making with cooperative individuals. The model is similar to a random field Ising model or fiber bundle model, but with key differences on ... More

Adapting Improved Upper Confidence Bounds for Monte-Carlo Tree SearchMay 11 2015The UCT algorithm, which combines the UCB algorithm and Monte-Carlo Tree Search (MCTS), is currently the most widely used variant of MCTS. Recently, a number of investigations into applying other bandit algorithms to MCTS have produced interesting results. ... More

Landau-Lifshitz and Weinberg Energy-Momentum Complexes for 2+1 Dimensional Black Hole SolutionsFeb 19 2007The aim of this paper is to evaluate the energy distribution of some 2+1 black hole solutions applying the Landau-Lifshitz and Weinberg definitions. The metrics under consideration describe the charged black hole, the solution coupling to a static scalar ... More

A refinement of the Artin conductor and the base change conductorMar 02 2013For a local field K with positive residue characteristic p, we introduce, in the first part of this paper, a refinement bAr_K of the classical Artin distribution Ar_K. It takes values in cyclotomic extensions of Q which are unramified at p, and it bisects ... More

Variational Inference for Gaussian Process Models with Linear ComplexityNov 28 2017Jan 22 2018Large-scale Gaussian process inference has long faced practical challenges due to time and space complexity that is superlinear in dataset size. While sparse variational Gaussian process models are capable of learning from large-scale data, standard strategies ... More

Atomic and magnetic structures of (CuCl)LaNb$_2$O$_7$ and (CuBr)LaNb$_2$O$_7$: Density functional calculationsNov 16 2009May 03 2010The atomic and magnetic structures of (Cu$X$)LaNb$_2$O$_7$ ($X$=Cl and Br) are investigated using the density-functional calculations. Among several dozens of examined structures, an orthorhombic distorted $2\times 2$ structure, in which the displacement ... More

A holomorphic vertex operator algebra of central charge $24$ whose weight one Lie algebra has type $A_{6,7}$Jun 15 2016Aug 18 2016In this article, we describe a construction of a holomorphic vertex operator algebras of central charge $24$ whose weight one Lie algebra has type $A_{6,7}$.

Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24Oct 26 2010Aug 30 2011In 1993, Schellekens obtained a list of possible 71 Lie algebras of holomorphic vertex operator algebras with central charge 24. However, not all cases are known to exist. The aim of this article is to construct new holomorphic vertex operator algebras ... More

On the Energy of Stringy Black HolesMay 24 2004Jun 14 2004It is well-known that one of the most interesting and challenging problems of General Relativity is the energy and momentum localization. There are many attempts to evaluate the energy distribution in a general relativistic system. One of the methods ... More

Derived Koszul duality and TQ-homology completion of structured ring spectraFeb 24 2015Jul 23 2015Working in the context of symmetric spectra, we consider any higher algebraic structures that can be described as algebras over an operad O. We prove that the fundamental adjunction comparing O-algebra spectra with coalgebra spectra over the associated ... More

3-dimensional Griess algebras and Miyamoto involutionsApr 15 2016We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups ... More

On the structure of framed vertex operator algebras and their pointwise frame stabilizersMay 07 2006Feb 09 2010In this paper, we study the structure of a general framed vertex operator algebra. We show that the structure codes (C,D) of a framed VOA V satisfy certain duality conditions. As a consequence, we prove that every framed VOA is a simple current extension ... More

A structural path for the icosahedra <-> fcc structural transition in clustersJan 08 2005We propose a structural path for the icosahedra <-> fcc transition in clusters and demonstrate the transition in Pb_13 by ab initio molecular-dynamics simulation. The proposed path can be described by using only two variables. The energy surface on this ... More

Bragg soliton compression and fission on a CMOS-compatible platformApr 16 2019Higher-order soliton dynamics, specifically soliton compression and fission, underpin crucial applications in ultrafast optics, sensing, communications, and signal processing. Bragg solitons exploit the strong dispersive properties of periodic media near ... More

Atomic Response in the Near-field of Nanostructured Plasmonic MetamaterialMar 28 2016We report on reflection spectra of caesium atoms in close vicinity of a nanostructured metallic meta-surface. We show that the hyperfine sub-Doppler spectrum of the $6S_{1/2} - 6P_{3/2}$ resonance transition at 852 nm is strongly affected by the coupling ... More

Beyond Good and Evil: Formalizing the Security Guarantees of Compartmentalizing CompilationFeb 14 2016May 07 2016Compartmentalization is good security-engineering practice. By breaking a large software system into mutually distrustful components that run with minimal privileges, restricting their interactions to conform to well-defined interfaces, we can limit the ... More

Beyond Good and Evil: Formalizing the Security Guarantees of Compartmentalizing CompilationFeb 14 2016Apr 15 2017Compartmentalization is good security-engineering practice. By breaking a large software system into mutually distrustful components that run with minimal privileges, restricting their interactions to conform to well-defined interfaces, we can limit the ... More

Quantum Secret Sharing with Multi-level Mutually (Un-)Biased BasesNov 20 2007Jun 10 2008We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very high dimensional ... More

Reverse orbifold construction and uniqueness of holomorphic vertex operator algebrasJun 29 2016In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras. Our method involves a general orbifold construction associated to inner automorphisms and a technique which we call "reverse orbifold construction". ... More

Energy associated with a static spherically symmetric nonsingular black holeAug 27 2001We evaluate the energy distributions of the Dymnikova space-time using the Weinberg, Papapetrou, and M{\o}ller energy-momentum complexes. This result sustain the importance of the energy-momentum complexes in the evaluation of the energy distribution ... More

Frame Stabilizers for framed vertex operator algebras associated to lattices having 4-framesMay 29 2009In this paper, we study certain Virasoro frames for lattice vertex operator algebras and their $\Z_2$-orbifolds using linear codes over $\Z_4$. We also compute the corresponding frame stabilizer from the view point of binary codes and $\Z_4$-codes. As ... More

Reverse orbifold construction and uniqueness of holomorphic vertex operator algebrasJun 29 2016Mar 06 2017In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras based on the orbifold construction and its "reverse" process. As an application, we prove that the structure of a strongly regular holomorphic ... More

Inertia groups and uniqueness of holomorphic vertex operator algebrasApr 07 2018We continue our program on classification of holomorphic vertex operator algebras of central charge $24$. In this article, we show that there exists a unique strongly regular holomorphic VOA of central charge $24$, up to isomorphism, if its weight one ... More

Classification of holomorphic framed vertex operator algebras of central charge 24Sep 20 2012This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its ... More

Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearityFeb 01 2018Jul 17 2018In this paper, we obtain gradient estimates of the positive solutions to weighted $p$-Laplacian type equations with a gradient-dependent nonlinearity of the form \begin{equation} \label{one} {\rm div} (|x|^{\sigma}|\nabla u|^{p-2} \nabla u)= |x|^{-\tau} ... More

Further results on some singular linear stochastic differential equationsFeb 26 2007May 29 2008A class of Volterra transforms, preserving the Wiener measure, with kernels of Goursat type is considered. Such kernels satisfy a self-reproduction property. We provide some results on the inverses of the associated Gramian matrices which lead to a new ... More

Higher homotopy excision and Blakers-Massey theorems for structured ring spectraFeb 19 2014May 05 2016Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers-Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ... More

The Conway-Miyamoto correspondences for the Fischer 3-transposition groupsApr 18 2016In this paper, we present a general construction of 3-transposition groups as automorphism groups of vertex operator algebras. Applying to the moonshine vertex operator algebra, we establish the Conway-Miyamoto correspondences between Fischer 3-transposition ... More

On the One-Shot Zero-Error Classical Capacity of Classical-Quantum Channels Assisted by Quantum Non-signalling CorrelationsApr 23 2015Aug 16 2016Duan and Winter studied the one-shot zero-error classical capacity of a quantum channel assisted by quantum non-signalling correlations, and formulated this problem as a semidefinite program depending only on the Kraus operator space of the channel. For ... More

Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearityFeb 01 2018In this paper, we obtain gradient estimates of the positive solutions to weighted $p$-Laplacian type equations with a gradient-dependent nonlinearity of the form \begin{equation} \label{one} {\rm div} (|x|^{\sigma}|\nabla u|^{p-2} \nabla u)= |x|^{-\tau} ... More

On the Difference of Energy between the Einstein and Møller PrescriptionDec 24 2002In some black hole solutions, these do not exist the same energy-momentum complexes associated with using definition of Einstein and M{\o}ller in given coordinates. Here, we consider the difference of energy between the Einstein and M{\o}ller prescription, ... More