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A classical-quantum hybrid oracle architecture for Boolean oracle identification in the noisy intermediate-scale quantum eraMay 14 2019Quantum algorithms have the potential to be very powerful. However, to exploit quantum parallelism, some quantum algorithms require an embedding of large classical data into quantum states. This embedding can cost a lot of resources, for instance by implementing ... More

Dynamic Large Spatial Covariance Matrix Estimation in Application to Semiparametric Model Construction via Variable Clustering: the SCE approachJun 20 2011Jun 23 2011To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the generalized ... More

Mechanism of the Fano resonance in a planar metamaterials: Analysis from the coupled two-oscillator modelMay 03 2016Mechanism of the Fano resonances in planar metamaterials demonstrate based on the coupled two-oscillator model. We have described the optical spectrums like reflectance and transmittance near the resonances of bright mode (continuum mode) and dark mode ... More

Note on geodesic rays tamed by simple test configurationsJun 17 2008Nov 08 2009In this short note, we give a new proof of a theorem of Arezzo-Tian on the existence of smooth geodesic rays tamed by a special degeneration.

Embeddedness of least area minimal hypersurfacesNov 09 2015E. Calabi and J. Cao showed that a closed geodesic of least length in a two-sphere with nonnegative curvature is always simple. Using min-max theory, we prove that for some higher dimensions, this result holds without assumptions on the curvature. More ... More

Ordering-Free Inference from Locally Dependent DataApr 02 2016This paper focuses on a situation where data exhibit local dependence but their dependence ordering is not known to the econometrician. Such a situation arises, for example, when many differentiated products are correlated locally and yet the correlation ... More

Charm Antiquark and Charm Quark in the NucleonNov 11 2001Apr 15 2002We estimate the intrinsic charm contributions to the quark flavor and spin observables of the nucleon in the SU(4) quark meson fluctuation model. In this model, the charm or anticharm reside in the charmed mesons created by the nonperturbative quantum ... More

Intrinsic Charm in the NucleonOct 27 1999Oct 28 1999The quark spin and flavor structure of the nucleon is discussed in the SU(4) symmetry breaking chiral quark model. The spin and flavor contents for charm quarks and anti-charm quarks are predicted and compared with the results given by other models. The ... More

Polarized structure function $g_2$ in the CM bag modelApr 08 1996The spin-dependent structure functions $g_1(x)$, $g_2(x)$, ${g}_2^{WW}(x)$ and ${\bar g}_2(x)$ and their moments are studied in the CM bag model. The results show that (i) $\int_0^1g_2(x)dx=0$, i.e. the Burkhardt-Cottingham sum rule holds, hence $g_2(x)$ ... More

On the universal family of Hilbert schemes of points on a surfaceJul 21 2014Sep 24 2015For a smooth quasi-projective surface $X$ and an integer $n\ge 3$, we show that the universal family $Z^n$ over the Hilbert scheme $\text{Hilb}^{n}(X)$ of $n$ points has non $\mathbb{Q}$-Gorenstein, rational singularities, and that the Samuel multiplicity ... More

On the singularities of effective loci of line bundlesMay 10 2013Sep 27 2014We prove that every irreducible component of semi-regular loci of effective line bundles in the Picard scheme of a smooth projective variety has at worst rational singularities. This generalizes Kempf's result on rational singularities of $W^0_d$ for ... More

Charmonia formation in quark-gluon plasmaFeb 14 2014Using the color evaporation model, the cross section for charmonium production in p+p collision is calculated in quark-gluon plasma. The threshold energy for open charms is given by the free energy potential from lattice calculations, the initial charm ... More

Feynman Algorithm Implementation for Comparison with Euler in a Uniform Elastic Two-Layer 2D and 3D Object Dynamic Deformation Framework in OpenGL with GUIJun 17 2009We implement for comparative purposes the Feynman algorithm within a C++-based framework for two-layer uniform facet elastic object for real-time softbody simulation based on physics modeling methods. To facilitate the comparison, we implement initial ... More

Dynamic Deformation of Uniform Elastic Two-Layer ObjectsJul 24 2009Jul 25 2009This thesis presents a two-layer uniform facet elastic object for real-time simulation based on physics modeling method. It describes the elastic object procedural modeling algorithm with particle system from the simplest one-dimensional object, to more ... More

Macdonald Index and Chiral AlgebraDec 28 2016Aug 10 2017For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra. The vacuum character of the chiral algebra reproduces the Schur index of the corresponding 4d theory. The Macdonald index counts the same set of operators as the Schur index, ... More

Riemannian geometry of Kahler-Einstein currentsApr 02 2014We study Riemannian geometry of canonical Kahler-Einstein currents on projective Calabi-Yau varieties and canonical models of general type with crepant singularities. We prove that the metric completion of the regular part of such a canonical current ... More

The SzegÖ kernel on an orbifold circle bundleMay 05 2004The analysis of holomorphic sections of high powers $L^N$ of holomorphic ample line bundles $L\to M$ over compact K\"ahler manifolds has been widely applied in complex geometry and mathematical physics. The Tian-Yau-Zelditch's asymptotic expansion of ... More

Semantics of InformationNov 07 2016Aug 03 2017Due to the self-referencing aspect, consciousness is placed in a unique non-computable position among natural phenomena. Non-computable consciousness was previously analyzed on the basis of self-referential cyclical time. This paper extends the cyclical ... More

Dark Energy and ConsciousnessJan 22 2017Jul 16 2018One of the most important concepts in logic and the foundations of mathematics may be useful in providing an explanation for the cosmological constant problem. A connection between self-reference and consciousness has been previously discussed due to ... More

Negative Entropy and Black Hole InformationJan 28 2013Dec 08 2013Based on negative entropy in entanglement, it is shown that a single-system Copenhagen measurement protocol is equivalent to the two-system von Neumann scheme with the memory filling up the system with negative information similar to the Dirac sea of ... More

Secure Key Distribution by Swapping Quantum EntanglementMay 28 2003Jan 01 2004We report two key distribution schemes achieved by swapping quantum entanglement. Using two Bell states, two bits of secret key can be shared between two distant parties that play symmetric and equal roles. We also address eavesdropping attacks against ... More

Automorphic Forms, Bundles and Yang-Mills EquationsMay 13 1997Nov 22 2001The paper has been withdrawn by the author.

Immeasurability of Zero-point Energy in the Cosmological Constant problemMar 14 2007Mar 21 2008A huge discrepancy between the zero-point energy calculated from quantum theory and the observed quantity in the Universe has been one of the most illusive problems in physics. In order to examine the measurability of zero-point energy, we construct reference ... More

Econometric Inference on Large Bayesian Games with Heterogeneous BeliefsApr 08 2014Econometric models on games often assume observation of many replications of a single representative game. Such a framework is not adequate when one observes multiple heterogeneous many-player games, as in many models of social interactions. This paper ... More

An equation for the general Ramsey number R(p1,p2,...pt;r)Sep 07 2010Aug 08 2011The Ramsey number $R(P_1,P_2,...,P_t;r)$ is a valve value such that as long as the cardinality $n$ of the $n$-set $V_n={1,...,n}$ is no less than $R$,however all the $\binom{n}{r}$ $r$-subsets of $V_n$ are distributed into $t$ boxes, $V_n$ will always ... More

The global sections of the chiral de Rham complex on a Kummer surfaceDec 28 2013Jul 09 2014The chiral de Rham complex is a sheaf of vertex algebras {\Omega}^ch_M on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra ... More

Chiral Hodge cohomology and Mathieu moonshinMay 11 2017Dec 07 2018We construct a filtration of chiral Hodge cohomolgy of a K3 surface $X$, such that its associated graded object is a unitary representation of the N=4 vertex algebra with central charge $6$ and its subspace of primitive vectors has the property: its equivariant ... More

DFT-based calculation of Coulomb blockade in molecular junctionOct 02 2007Quantum transport through single molecules is very sensitive to the strength of the molecule-electrode contact. When a molecular junction weakly coupled to external electrodes, charging effects do play an important role (Coulomb blockade regime). In this ... More

Lower order tensors in non-Kähler geometry and non-Kähler geometric flowMar 21 2015May 31 2016In recent years, Streets and Tian introduced a series of curvature flows to study non-K\"{a}hler geometry. In this paper, we study how to construct second order curvature flows in a uniform way, under some natural assumptions which holds in Streets and ... More

On the ruin problem in the renewal risk processes perturbed by diffusionMar 06 2008In this paper, we consider the perturbed renewal risk process. Systems of integro-differential equations for the Gerber-Shiu functions at ruin caused by a claim and oscillation are established, respectively. The explicit Laplase transforms of Gerber-Shiu ... More

Mass Deformation of the Multiple M2 Branes TheoryMay 21 2008Dec 22 2008Based on recent developments, in this letter we study the one parameter deformation of 2+1 dimensional gauge theories with scale invariance and N = 8 supersymmetry, which is expected to be the field theory living on a stack of M2 branes. The deformed ... More

Social Learning with Endogenous Network FormationApr 20 2015May 11 2016I study the problem of social learning in a model where agents move sequentially. Each agent receives a private signal about the underlying state of the world, observes the past actions in a neighborhood of individuals, and chooses her action attempting ... More

On the Dominating Set Problem in Random GraphsOct 24 2015In this paper, we study the {\sc Dominating Set} problem in random graphs. In a random graph, each pair of vertices are joined by an edge with a probability of $p$, where $p$ is a positive constant less than $1$. We show that, given a random graph in ... More

$\natural$-model with jumpsSep 29 2013We consider the so-called $\natural$-model. It is an one-default model which gives the conditional law of a random time with respect to a reference filtration. This model has been studied in the case where the parameters are continuous. In this paper ... More

Dynamic construction of martingales of density functionsJan 27 2014Feb 02 2014The density hypothesis on random times becomes now a standard in modeling of risks. One of the basic reasons to introduce the density hypothesis is the desire to have a computable credit risk model. However, recent work shows that merely an existence ... More

Hall universal group has ample generic automorphismsMar 20 2017Oct 20 2017We show that the automorphism group of Philip Hall's universal locally finite group has ample generics,that is, it admits comeager diagonal conjugacy classes in all dimensions.Consequently, it has the small index property, is not the union of a countable ... More

A Link Representation for Gravity AmplitudesJul 17 2012We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an integrand naturally ... More

Local min-max surfaces and strongly irreducible minimal Heegaard splittingsJun 04 2017Let $(M,g)$ be a closed oriented Riemannian $3$-manifold and suppose that there is a strongly irreducible Heegaard splitting $H$. We prove that $H$ is either isotopic to a minimal surface of index at most one or isotopic to the stable oriented double ... More

Testing conditional independence via Rosenblatt transformsNov 19 2009This paper proposes new tests of conditional independence of two random variables given a single-index involving an unknown finite-dimensional parameter. The tests employ Rosenblatt transforms and are shown to be distribution-free while retaining computational ... More

Martingale representation processes and applications in the market viability with information flow expansionMay 04 2015Mar 17 2016When the \textit{martingale representation property} holds, we call any local martingale which realizes the representation a \textit{representation process}. There are two properties of the \textit{representation process} which can greatly facilitate ... More

A Decomposition Analysis of Diffusion over a Large NetworkApr 17 2019Diffusion over a causal network refers to the phenomenon of a change of state of a cross-sectional unit in one period leading to a change of state of its causal neighbors in the next period. One may estimate or test for diffusion by estimating a cross-sectionally ... More

Morawetz estimates as well as spacetime bounds based on pseudoconformal conservation law and interaction Morawetz estimates for a quasilinear Schrödinger equationApr 22 2019In this paper, we consider the Cauchy problem of the quasilinear Sch\"{o}dinger equation \begin{equation*} \left\{ \begin{array}{lll} iu_t = \Delta u+2uh'(|u|^2)\Delta h(|u|^2)+V(x)u+F(|u|^2)u+(W*|u|^2)u,\ x\in \mathbb{R}^N,\ t>0\\ u(x,0) = u_0(x),\quad ... More

Causal Viscous Hydrodynamics for Relativistic Heavy Ion CollisionsAug 25 2009The viscosity of the QGP is a presently hotly debated subject. Since its computation from first principles is difficult, it is desirable to try to extract it from experimental data. Viscous hydrodynamics provides a tool that can attack this problem and ... More

Large Vector Auto RegressionsJun 20 2011One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for forecasting, for example, by the dynamic factor models. ... More

One loop quantum fluctuations to the energy of the non-topological soliton in Friedberg-Lee modelJul 06 2016I have used a practical method to calculate the one-loop quantum correction to the energy of the non-topological soliton in Friedberg-Lee model. The quantum effects which come from the quarks of the Dirac sea scattering with the soliton bag are calculated ... More

Solvability of Dirichlet problem with Nonlinear Integro-differential OperatorFeb 19 2016Oct 26 2016This paper studies the solvability of a class of Dirichlet problem associated with non-linear integro-differential operator. The main ingredient is the probabilistic construction of continuous supersolution via the identification of the continuity set ... More

Locally accessible information from multipartite ensemblesNov 18 2007Nov 25 2007We present a universal Holevo-like upper bound on the locally accessible information for arbitrary multipartite ensembles. This bound allows us to analyze the indistinguishability of a set of orthogonal states under LOCC. We also derive the upper bound ... More

Lower bounds on the squashed entanglement for multi-party systemsDec 03 2007Aug 04 2009Squashed entanglement is a promising entanglement measure that can be generalized to multipartite case, and it has all of the desirable properties for a good entanglement measure. In this paper we present computable lower bounds to evaluate the multipartite ... More

Quark Spin and Orbital Angular Momentum in the BaryonOct 29 1999Aug 11 2000The spin and orbital angular momentum carried by different quark flavors in the nucleon are calculated in the SU(3) chiral quark model with symmetry-breaking. The model is extended to all octet and decuplet baryons. In this model, the reduction of the ... More

New Relations and Constraints on Quark Spin-flavor Contents in Symmetry-breaking Chiral Quark ModelDec 11 1997New relations between the quark spin-flavor contents of the nucleon and axial weak coupling constants are obtained in the chiral quark model with both SU(3) and U(1)-breaking effects. Using the nonsinglet spin combinations, $\Delta_3$ and $\Delta_8$, ... More

Embeddedness of least area minimal hypersurfacesNov 09 2015Nov 28 2016E. Calabi and J. Cao showed that a closed geodesic of least length in a two-sphere with nonnegative curvature is always simple. Using min-max theory, we prove that for some higher dimensions, this result holds without assumptions on the curvature. More ... More

Measuring the Graph Concordance of Locally Dependent ObservationsApr 14 2015Sep 12 2016This paper introduces a simple measure of a concordance pattern among observed outcomes along a network, i.e., the pattern in which adjacent outcomes tend to be more strongly correlated than non-adjacent outcomes. The graph concordance measure can be ... More

$L^p$ Solutions of Backward Stochastic Differential Equations with JumpsJul 13 2010Jul 01 2016Given $p \in (1, 2)$, we study $L^p$-solutions of a multi-dimensional backward stochastic differential equation with jumps (BSDEJ) whose generator may not be Lipschitz continuous in $(y,z,u)$. We show that such a BSDEJ with a p-integrable terminal data ... More

The Role of Computer Graphics in Documentary Film ProductionJan 04 2011We discuss a topic on the role of computer graphics in the production of documentaries, which is often ignored in favor of other topics. Typically, except for some rare occasions, documentary producers and computer scientists or digital artists that do ... More

Characteristic Polynomial of Certain Hyperplane Arrangements through Graph TheoryJan 25 2017Jan 26 2017We give a formula for computing the characteristic polynomial for certain hyperplane arrangements in terms of the number of bipartite graphs of given rank and cardinality.

The $α$-Invariant on $CP^2#2\bar{CP^2}$May 06 2002In this paper, we apply the Tian-Yau-Zelditch expansion of the Bergman kernel on polarized K\"ahler metrics to approximate plurisubharmonic functions and compute the $\alpha$-invariant of $CP^2#2\bar{CP^2}$, which is exactly 1/3. In addition we prove ... More

Kant's Copernican RevolutionMar 05 2007Jan 07 2019A number of philosophers and scientists have discussed the possibility of inseparability between the subject (i.e., the observer) and the object (i.e., the observed universe). In particular, it has recently been proposed that this inseparability may be ... More

Quantum Measurement and Observable UniverseJul 22 2015In this paper, we discuss that an observable-based single-system Copenhagen and entanglement-based two-system von Neumann measurement protocols in quantum theory can be made equivalent by considering the second part of the two-system scheme to be a Dirac-type ... More

Physical Version of Singularity Resolution in the Observable UniverseJan 27 2016Based on the equivalence of the two different types of measurement protocols and the asymmetry between the Schr\"odinger and Heisenberg pictures, it has been previously proposed that negative sea fills the universe as a nondeterministic computation - ... More

The Number of Different Effective Partitions and a Specific Goldbach Partition of Any Given Even Number Greater Than 6Nov 12 2007Dec 16 2017A specific Goldbach partition of any given even number greater than 6 can be found definitely.

Drift operator in a market affected by the expansion of information flow : a case studyJul 06 2012We consider a viable market model. Suppose that new information arrives at the market. We are interested in modeling the market reaction facing to the change of information. In particular we seek for the limit on the intensity of information change below ... More

Multi-dimensional BSDEs whose terminal values are bounded and have bounded Malliavin derivativesNov 08 2017Aug 30 2018We consider a class of multi-dimensional BSDEs on a finite time horizon (containing in particular Lipschitzian-quadratic BSDEs), whose terminal values are bounded as well as their corresponding Malliavin derivatives. We prove two results. The first one ... More

An introduction of the enlargement of filtrationOct 18 2015It is a working version of a lecture on the theory of enlargement of filtration, given at the African Mathematic School in Marrakech, October 19-23, 2015.

Uniqueness of the representation for $G$-martingales with finite variationDec 09 2010Dec 31 2010Our purpose is to prove the uniqueness of the representation for $G$-martingales with finite variation.

Phase Transition Dynamics and Its Alpha' CorrectionsAug 17 2007Oct 22 2007We study the dynamics of the first order phase transition in the holographic hard wall model, namely, Polchinski-Strassler's model and come to the conclusion that the phase transition is incomplete in large N limit with the natural boundary condition. ... More

Real-Time Video Highlights for Yahoo EsportsNov 27 2016Esports has gained global popularity in recent years and several companies have started offering live streaming videos of esports games and events. This creates opportunities to develop large scale video understanding systems for new product features ... More

On the Independent Set and Common Subgraph Problems in Random GraphsAug 07 2013In this paper, we develop efficient exact and approximate algorithms for computing a maximum independent set in random graphs. In a random graph $G$, each pair of vertices are joined by an edge with a probability $p$, where $p$ is a constant between $0$ ... More

Characterizations of processes with stationary and independent increments under $G$-expectationSep 01 2010Sep 08 2011Our purpose is to investigate properties for processes with stationary and independent increments under $G$-expectation. As applications, we prove the martingale characterization to $G$-Brownian motion and present a decomposition for generalized $G$-Brownian ... More

The effects of Zn Impurity on the Properties of Doped Cuprates in the Normal StateMay 14 2004We study the interplay of quantum impurity, and collective spinon and holon dynamics in Zn doped high-T$_c$ cuprates in the normal state. The two-dimensional t-t$^{\prime}$-J models with one and a small amount of Zn impurity are investigated within a ... More

Towards a Frontier of Spatial Scientometric StudiesJun 11 2014The research field of spatial scientometrics is dedicated to measuring and analyzing science with spatial components (e.g., location, place, mapping). Because of the dynamic nature of this field, researchers from multidisciplinary domains constantly contribute ... More

The Frobenius problem for four numerical semigroupsJun 28 2017Aug 23 2017The greatest integer that does not belong to a numerical semigroup $S$ is called the Frobenius number of $S$ and finding the Frobenius number is called the Frobenius problem. In this paper, we introduce the Frobenius problem for numerical semigroups generated ... More

The Frobenius problem for Generalized Thabit numerical semigroupsOct 16 2015May 03 2016The greatest integer that does not belong to $S$ is the Frobenius number of $S$ and denoted by $F(S)$. To solve the Frobenius problem means the study to find $F(S)$. The Frobenius problem have treated steadily for a long time. In this paper, We will introduce ... More

Existence of infinitely many minimal hypersurfaces in closed manifoldsJun 22 2018Using min-max theory, we show that in any closed Riemannian manifold of dimension at least 3 and at most 7, there exist infinitely many smoothly embedded closed minimal hypersurfaces. It proves a conjecture of S.-T. Yau. This paper builds on the methods ... More

A Uniform-in-$P$ Edgeworth Expansion under Weak Cramér ConditionsJun 04 2018This paper provides a finite sample bound for the error term in the Edgeworth expansion for a sum of independent, potentially discrete, nonlattice random vectors, using a uniform-in-$P$ version of the weaker Cram\'{e}r condition in Angst and Poly(2017). ... More

Normal Approximation by Stein's Method under Sublinear ExpectationsNov 15 2017Peng (2008)(\cite{P08b}) proved the Central Limit Theorem under a sublinear expectation: \textit{Let $(X_i)_{i\ge 1}$ be a sequence of i.i.d random variables under a sublinear expectation $\hat{\mathbf{E}}$ with $\hat{\mathbf{E}}[X_1]=\hat{\mathbf{E}}[-X_1]=0$ ... More

Drift operator in a viable expansion of information flowMay 14 2015Nov 18 2015A triplet $(\mathbb{P},\mathbb{F},S)$ of a probability measure $\mathbb{P}$, of an information flow $\mathbb{F}=(\mathcal{F}_t)_{t\in\mathbb{R}_+}$, and of an $\mathbb{F}$ adapted asset process $S$, is a financial market model, only if it is viable. In ... More

The braidings in the mapping class groups of surfacesMay 08 2012The disjoint union of mapping class groups of surfaces forms a braided monoidal category $\mathcal M$, as the disjoint union of the braid groups $\mathcal B$ does. We give a concrete, and geometric meaning of the braiding $\beta_{r,s}$ in $\M$. Moreover, ... More

Leakage Rate Analysis for Artificial Noise Assisted Massive MIMO with Non-coherent Passive Eavesdropper in Block-fadingAug 23 2018Massive MIMO is one of the salient techniques for achieving high spectral efficiency in next generation wireless networks. Recently, a combined strategy of the massive MIMO and the artificial noise (AN), namely, {\it AN assisted massive MIMO (ANAM)} has ... More

Gauss map of the skew mean curvature flowNov 07 2017Nov 10 2017The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schr\"odinger flow equation. In this regard, we explore the geometry of the oriented ... More

Local existence and uniqueness of Skew Mean Curvature FlowApr 08 2019The Skew Mean Curvature Flow(SMCF) is a Schr\"odinger-type geometric flow canonically defined on a co-dimension two submanifold, which generalizes the famous vortex filament equation in fluid dynamics. In this paper, we prove the local existence and uniqueness ... More

Color Superconducting Gap in Schwinger-Dyson Equation and Nonlocal Gauge FixingDec 20 2003We solve Schwinger-Dyson (SD) equation for the color superconducting (CS) gap in nonlocal gauge which justifies the ladder approximation in subleading order calculation. The gap prefactor increases about 1.6 times to the leading order gap determined in ... More

Large deviations for functionals of Gaussian processesFeb 12 2018Dec 03 2018We prove large deviation principles for $\int_0^t \gamma(X_s)ds$, where $X$ is a $d$-dimensional Gaussian process and $\gamma(x)$ takes the form of the Dirac delta function $\delta(x)$, $|x|^{-\beta}$ with $\beta\in (0,d)$, or $\prod_{i=1}^d |x_i|^{-\beta_i}$ ... More

Strichartz inequalities for the Schrödinger equation with the full Laplacian on H-type groupsFeb 18 2014Mar 02 2017In this paper, we prove the dispersive estimates and Strichartz inequalities for the solution of the Schr\"{o}dinger equation related to the full Laplacian on H-type groups. This extends the results obtained by G. Furioli and A. Veneruso [Studia Math., ... More

Incompatibility between Self-Observing Consciousness and the Axioms of Quantum theoryJun 28 2007Based on the standard axioms of quantum theory, we provide a counter-example which invalidates the full compatibility between consciousness and quantum theory. In particular, we present an example of a natural phenomenon in which an observer's the mental ... More

Quantum Theory, Consciousness, and BeingMar 05 2007Sep 29 2008In [NeuroQuantology 6, 46 (2008): arXiv:0706.4180], a certain natural phenomenon of self-observing consciousness was shown to be incompatible with the standard axioms of quantum theory. In order to consider a possibility of removing this inconsistency, ... More

Quark Orbital Angular Momentum in the BaryonDec 21 2000Jun 25 2001Analytical and numerical results, for the orbital and spin content carried by different quark flavors in the baryons, are given in the chiral quark model with symmetry breaking. The reduction of the quark spin, due to the spin dilution in the chiral splitting ... More

Substructure of the Nucleon in the Chiral Quark ModelFeb 18 2000The spin and orbital angular momentum carried by different quark flavors in the nucleon are calculated in the SU(3) chiral quark model with symmetry-breaking. The similar calculation is also performed for other octet and decuplet baryons. Furthermore, ... More

Area rigidity of minimal surfaces in three-manifolds of positive scalar curvatureNov 29 2016Combining Almgren-Pitts min-max theory for minimal surfaces and the Ricci flow with surgery, we prove that if a closed three-manifold $M$ has scalar curvature at least $6$ and is not isometric to the round three-sphere, then $M$ contains an embedded closed ... More

The α-Invariant on Toric Fano ManifoldsJul 22 2003The global holomorphic \alpha-invariant introduced by Tian is closely related with the study in the existence of Kahler-Einstein metric. We apply the result of Tian, Lu and Zelditch on polarized Kahler metrics to approximate plurisubharmonic functions ... More

Degeneration of Kahler-Einstein manifolds of negative scalar curvatureJun 05 2017Let $\pi: \mathcal{X}^* \rightarrow B^*$ be an algebraic family of compact K\"ahler manifolds of complex dimension $n$ with negative first Chern class over a punctured disc $B^*\in \mathbb{C}$. Let $g_t$ be the unique K\"ahler-Einstein metric on $\mathcal{X}_t= ... More

Enumeration of Graphs and the Characteristic Polynomial of the Hyperplane Arrangements $\mathcal{J}_n$Jan 25 2017We give a complete formula for the characteristic polynomial of hyperplane arrangements $\mathcal J_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $ 1\leq i, j, k, l\leq n$. The formula is obtained by associating hyperplane arrangements ... More

On a class of stochastic partial differential equationsMar 23 2015Jan 28 2016In this paper, we study the stochastic partial differential equation with multiplicative noise $\frac{\partial u}{\partial t} =\mathcal L u+u\dot W$, where $\mathcal L$ is the generator of a symmetric L\'evy process $X$ and $\dot W$ is a Gaussian noise. ... More

Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theoremSep 30 2014It is proved by Kawamata that the canonical bundle of a projective manifold is semi-ample if it is big and nef. We give an analytic proof using the Ricci flow, degeneration of Riemannian manifolds and $L^2$-theory. Combined with our earlier results, we ... More

Deep Neural Network for Learning to Rank Query-Text PairsFeb 25 2018This paper considers the problem of document ranking in information retrieval systems by Learning to Rank. We propose ConvRankNet combining a Siamese Convolutional Neural Network encoder and the RankNet ranking model which could be trained in an end-to-end ... More

Local Asymptotic Minimax Estimation of Nonregular Parameters with Translation-Scale Equivariant MapsMar 09 2014When a parameter of interest is defined to be a nondifferentiable transform of a regular parameter, the parameter does not have an influence function, rendering the existing theory of semiparametric efficient estimation inapplicable. However, when the ... More

Minimax Estimation of Nonregular Parameters and Discontinuity in Minimax RiskMar 10 2014When a parameter of interest is nondifferentiable in the probability, the existing theory of semiparametric efficient estimation is not applicable, as it does not have an influence function. Song (2014) recently developed a local asymptotic minimax estimation ... More

Nonlocality and the Correlation of Measurement BasesJun 25 2004Aug 26 2008Nonlocal nature apparently shown in entanglement is one of the most striking features of quantum theory. We examine the locality assumption in Bell-type proofs for entangled qubits, i.e. the outcome of a qubit at one end is independent of the basis choice ... More

Universal Grammar and ConsciousnessJun 28 2007Jan 07 2019The orthodox interpretation of quantum theory treats the subject and the object on an equal footing. It has been suggested that the cyclical-time process, which resolves self-reference in consciousness, interconnects the observed universe and the mind ... More

Non-Computability of ConsciousnessMay 11 2007With the great success in simulating many intelligent behaviors using computing devices, there has been an ongoing debate whether all conscious activities are computational processes. In this paper, the answer to this question is shown to be no. A certain ... More

Construction of multi-default models with full viabilityNov 01 2015We study multi-default model which satisfies the quasi-left-continuity, the martingale representation property, the drift multiplier assumption and the full viability. We use $\natural$-model to construct one such model.