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A Secure Proxy-based Access Control Scheme for Implantable Medical DevicesMar 21 2018Jun 30 2018With the rapid development of health equipments, increasingly more patients have installed the implantable medical devices (IMD) in their bodies for diagnostic, monitoring, and therapeutic purposes. IMDs are extremely limited in computation power and ... More

Robustness of Information Diffusion Algorithms to Locally Bounded AdversariesOct 17 2011Mar 28 2012We consider the problem of diffusing information in networks that contain malicious nodes. We assume that each normal node in the network has no knowledge of the network topology other than an upper bound on the number of malicious nodes in its neighborhood. ... More

Joint Stochastic Approximation learning of Helmholtz MachinesMar 20 2016Though with progress, model learning and performing posterior inference still remains a common challenge for using deep generative models, especially for handling discrete hidden variables. This paper is mainly concerned with algorithms for learning Helmholz ... More

Cross-App Interference Threats in Smart Homes: Categorization, Detection and HandlingAug 06 2018Oct 10 2018A number of Internet of Things (IoTs) platforms have emerged to enable various IoT apps developed by third-party developers to automate smart homes. Prior research mostly concerns the overprivilege problem in the permission model. Our work, however, reveals ... More

e-SAFE: Secure, Efficient and Forensics-Enabled Access to Implantable Medical DevicesApr 06 2018To facilitate monitoring and management, modern Implantable Medical Devices (IMDs) are often equipped with wireless capabilities, which raise the risk of malicious access to IMDs. Although schemes are proposed to secure the IMD access, some issues are ... More

Privacy Leakage in Smart Homes and Its Mitigation: IFTTT as a Case StudyFeb 08 2019The combination of smart home platforms and automation apps introduces much convenience to smart home users. However, this also brings the potential for privacy leakage. If a smart home platform is permitted to collect all the events of a user day and ... More

An efficient model reduction method for solving viscous G-equations in incompressible cellular flowsDec 24 2018The G-equation is a well-known model for studying front propagation in turbulent combustion. In this paper, we shall develop an efficient model reduction method for solving viscous G-equations in incompressible steady and time-periodic cellular flows. ... More

Stability of complex hyperbolic space under curvature-normalized Ricci flowJun 02 2011Oct 26 2012Using the maximal regularity theory for quasilinear parabolic systems, we prove two stability results of complex hyperbolic space under the curvature-normalized Ricci flow in complex dimensions two and higher. The first result is on a closed manifold. ... More

On type-II singularities in Ricci flow on $\mathbb{R}^{N}$Oct 15 2012Sep 19 2015In each dimension $N\geq 3$ and for each real number $\lambda\geq 1$, we construct a family of complete rotationally symmetric solutions to Ricci flow on $\mathbb{R}^{N}$ which encounter a global singularity at a finite time $T$. The singularity forms ... More

An Attempt to Design a Better Algorithm for the Uncapacitated Facility Location ProblemOct 24 2016The uncapacitated facility location has always been an important problem due to its connection to operational research and infrastructure planning. Byrka obtained an algorithm that is parametrized by $\gamma$ and proved that it is optimal when $\gamma>1.6774$. ... More

Two Stage Optimization with Recourse and RevocationOct 21 2016Two-stage optimization with recourse model is an important and widely used model, which has been studied extensively these years. In this article, we will look at a new variant of it, called the two-stage optimization with recourse and revocation model. ... More

Robust FCC solute diffusion predictions from ab-initio machine learning methodsMay 24 2017We evaluate the performance of four machine learning methods for modeling and predicting FCC solute diffusion barriers. More than 200 FCC solute diffusion barriers from previous density functional theory (DFT) calculations served as our dataset to train ... More

Joint Sparsity Recovery for Spectral Compressed SensingNov 09 2013Feb 03 2014Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem of simultaneously ... More

Subspace Learning From BitsJul 23 2014Jul 24 2014This paper proposes a simple sensing and estimation framework to faithfully recover the principal subspace of high-dimensional datasets or data streams from a collection of one-bit measurements from distributed sensors based on comparing accumulated energy ... More

On Multivariate Strong Renewal TheoremDec 05 2014Dec 09 2014This paper takes the so-called probabilistic approach to the Strong Renewal Theorem (SRT) on $\mathbb{R}^d$ for distributions in the domain of attraction without centering of a nondegenerate stable law of exponent $\alpha \in (0, 2]\cap (0,d)$. We obtain ... More

Stochastic Lipschitz continuity for high dimensional Lasso with multiple linear covariate structures or hidden linear covariatesNov 05 2010Two extensions of generalized linear models are considered. In the first one, response variables depend on multiple linear combinations of covariates. In the second one, only response variables are observed while the linear covariates are missing. We ... More

On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structuresNov 25 2009In a recent work (arXiv:0910.2517), for nonlinear models with sparse underlying linear structures, we studied the error bounds of $\ell_0$-regularized estimation. In this note, we show that $\ell_1$-regularized estimation in some important cases can achieve ... More

Sample size and positive false discovery rate control for multiple testingMar 08 2007May 09 2007The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much evidence is available ... More

A de-gauging approach to physics beyond the Standard ModelJun 06 2016By studying the t-J model for superconductivity, the Pati-Salam model and the Haplon model for particle unifications, we extract their common feature which is the spin-charge separation of fermions. This becomes a de-gauging process for charged fermions ... More

Phase of Quark Condensate and Topological Current in QCDOct 31 2013We propose a new topological charge term in QCD based on flux-tube models. It couples a superflow of the phase of the quark condensate to the Chern-Simons current. The usual $\theta$-parameter is replaced by the phase of the quark condensate, which becomes ... More

Dark fermions from the Standard Model via spin-charge separationMay 31 2016We study a new composite scenario of the lepton sector in the Standard Model by a de-gauging procedure called spin-charge separation and propose that leptons are bound states of some neutral fermions and Higgs bosons. Continuing this procedure we may ... More

Degenerate neckpinches in mean curvature flow on noncompact hypersurfacesMar 05 2016Mar 13 2016We study the formation of Type-II singularities in mean curvature flows of rotationally symmetric noncompact embedded hypersurfaces. Using analytic techniques based on formal matched asymptotics and the construction of upper and lower barrier solutions ... More

K-semistability is equivariant volume minimizationDec 22 2015Sep 27 2016This is a continuation to the paper \cite{Li15a} in which a problem of minimizing normalized volumes over $\mathbb{Q}$-Gorenstein klt singularities was proposed. Here we consider the case when there is a $\mathbb{C}^*$-action on $(X,o)$. In particular, ... More

Guaranteed Blind Sparse Spikes Deconvolution via Lifting and Convex OptimizationJun 09 2015Mar 15 2016Neural recordings, returns from radars and sonars, images in astronomy and single-molecule microscopy can be modeled as a linear superposition of a small number of scaled and delayed copies of a band-limited or diffraction-limited point spread function, ... More

Data volume and power of multiple tests with small sample size per nullOct 22 2008Jun 05 2009In multiple hypothesis testing, the volume of data, defined as the number of replications per null times the total number of nulls, usually defines the amount of resource required. On the other hand, power is an important measure of performance for multiple ... More

False discovery rate control with multivariate $p$-valuesJun 04 2007May 21 2008Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be controlled through ... More

A local stochastic Lipschitz condition with application to Lasso for high dimensional generalized linear modelsSep 06 2010For regularized estimation, the upper tail behavior of the random Lipschitz coefficient associated with empirical loss functions is known to play an important role in the error bound of Lasso for high dimensional generalized linear models. The upper tail ... More

Effects of statistical dependence on multiple testing under a hidden Markov modelApr 09 2009Mar 09 2011The performance of multiple hypothesis testing is known to be affected by the statistical dependence among random variables involved. The mechanisms responsible for this, however, are not well understood. We study the effects of the dependence structure ... More

On the asymptotic of likelihood ratios for self-normalized large deviationsSep 10 2007Jan 30 2008Motivated by multiple statistical hypothesis testing, we obtain the limit of likelihood ratio of large deviations for self-normalized random variables, specifically, the ratio of $P(\sqrt{n}(\bar X +d/n) \ge x_n V)$ to $P(\sqrt{n}\bar X \ge x_n V)$, as ... More

From the Fourth Color to Spin-charge Separation - Neutrinos and SpinonsMar 31 2015We introduce the spin-charge separation mechanism to the quark-lepton unification models which consider the lepton number as the fourth color. In certain finite-density systems, quarks and leptons are decomposed into spinons and chargons, which carry ... More

Uniform convergence of exact large deviations for renewal reward processesJul 31 2007Let (X_n,Y_n) be i.i.d. random vectors. Let W(x) be the partial sum of Y_n just before that of X_n exceeds x>0. Motivated by stochastic models for neural activity, uniform convergence of the form $\sup_{c\in I}|a(c,x)\operatorname {Pr}\{W(x)\gecx\}-1|=o(1)$, ... More

Two-phase flow of ferrofluidsJul 26 2016Ferrofluids currently are the only type of magnetic liquid materials with wide practical use. The theory on ferrofluids is an example of success to apply statistics to science. Ferrofluids are two-phase liquids consisting of dispersed nanoscale ferromagnetic ... More

Large deviations for template matching between point processesMar 22 2005We study the asymptotics related to the following matching criteria for two independent realizations of point processes X\sim X and Y\sim Y. Given l>0, X\cap [0,l) serves as a template. For each t>0, the matching score between the template and Y\cap [t,t+l) ... More

Direct photon production in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV at STARAug 11 2014We present the direct photon production for $1<p_{T}<10$ GeV/$c$ derived from continuum in the dielectron invariant mass region $0.1<M_{ee}<0.3$ GeV/$c^{2}$ from one billion $\sqrt{s_{NN}}=200$ GeV Au+Au events taken in year 2010 and 2011. A clear excess ... More

Strong renewal theorems with infinite mean beyond local large deviationsMay 28 2015Let $F$ be a distribution function on the line in the domain of attraction of a stable law with exponent $\alpha\in(0,1/2]$. We establish the strong renewal theorem for a random walk $S_1,S_2,\ldots$ with step distribution $F$, by extending the large ... More

$L_0$ regularized estimation for nonlinear models that have sparse underlying linear structuresOct 14 2009We study the estimation of $\beta$ for the nonlinear model $y = f(X\sp{\top}\beta) + \epsilon$ when $f$ is a nonlinear transformation that is known, $\beta$ has sparse nonzero coordinates, and the number of observations can be much smaller than that of ... More

FDR control for multiple hypothesis testing on composite nullsJul 30 2008Multiple hypothesis testing often involves composite nulls, i.e., nulls that are associated with two or more distributions. In many cases, it is reasonable to assume that there is a prior distribution on the distributions despite it is unknown. When the ... More

On the performance of FDR control: Constraints and a partial solutionOct 17 2007The False Discovery Rate (FDR) paradigm aims to attain certain control on Type I errors with relatively high power for multiple hypothesis testing. The Benjamini--Hochberg (BH) procedure is a well-known FDR controlling procedure. Under a random effects ... More

Integral criteria for Strong Renewal Theorems with infinite meanDec 20 2013Apr 15 2014Let $F$ be a probability measure on $\mathbb{R}$ in the domain of attraction of a stable law with exponent $\alpha\in (0, 1)$. We establish integral criteria on $F$ that significantly expand the probabilistic approach to Strong Renewal Theorems (SRTs). ... More

Exact sampling of first passage event of certain symmetric Levy processes with unbounded variationJun 21 2016We show that exact sampling of the first passage event can be done for a Levy process with unbounded variation, if the process can be embedded in a subordinated standard Brownian motion. By sampling a series of first exit events of the Brownian motion ... More

Dynamical stability of algebraic Ricci solitonsSep 21 2013Sep 10 2014We consider dynamical stability for a modified Ricci flow equation whose stationary solutions include Einstein and Ricci soliton metrics. Our focus is on homogeneous metrics on non-compact manifolds. Following the program of Guenther, Isenberg, and Knopf, ... More

Minimizing normalized volumes of valuationsNov 25 2015Apr 10 2016We propose a problem of minimizing normalized volumes of valuations. For a $\mathbb{Q}$-Gorenstein klt singularity, by proving a key properness estimate, we prove that the set of valuations with uniformly bounded normalized volumes is compact. Under a ... More

Yau-Tian-Donaldson correspondence for K-semistable Fano manifoldsFeb 27 2013Feb 23 2015In this note, using the recent compactness results of Tian and Chen-Donaldson-Sun, we prove the K-semistable version of Yau-Tian-Donaldson correspondence for Fano manifolds.

Molecular Clock Dating using MrBayesMar 17 2016There are two modern approaches on dating species divergence using molecular data: node dating (e.g., Yang and Rannala, 2006; Drummond et al., 2006) and total-evidence dating (e.g., Ronquist et al., 2012a; Zhang et al., 2016). In a Bayesian framework, ... More

Nonnormal small jump approximation of infinitely divisible distributionsApr 23 2013We consider a type of nonnormal approximation of infinitely divisible distributions that incorporates compound Poisson, Gamma, and normal distributions. The approximation relies on achieving higher orders of cumulant matching, to obtain higher rates of ... More

Gauged Nambu-Jona-Lasinio model and axionic QCD stringDec 30 2014We propose an axionic QCD string scenario based on the original flux-tube model by Kogut and Susskind, and then incorporate it into a gauged Nambu-Jona-Lasinio (NJL) model. Axial anomaly is studied by a new topological coupling from the string side, and ... More

QCD Flux Tubes and Anomaly InflowFeb 28 2013Jul 17 2013We apply the Callan-Harvey anomaly inflow mechanism to the study of QCD (chromoelectric) flux tubes, quark (pair)-creation and chiral magnetic effect, using new variables from the Cho-Faddeev-Niemi decomposition of the gauge potential. A phenomenological ... More

Limit laws of estimators for critical multi-type Galton-Watson processesMar 24 2005We consider the asymptotics of various estimators based on a large sample of branching trees from a critical multi-type Galton-Watson process, as the sample size increases to infinity. The asymptotics of additive functions of trees, such as sizes of trees ... More

Random reversible Markov matrices with tunable extremal eigenvaluesMay 08 2015Sep 08 2015Random sampling of large Markov matrices with a tunable spectral gap, a nonuniform stationary distribution, and a nondegenerate limiting empirical spectral distribution (ESD) is useful. Fix $c>0$ and $p>0$. Let $A_n$ be the adjacency matrix of a random ... More

Property $(T)$ and strong Property $(T)$ for unital $C^*$-algebrasJan 14 2009In this paper, we will give a thorough study of the notion of Property $(T)$ for $C^*$-algebras (as introduced by M.B. Bekka in \cite{Bek-T}) as well as a slight stronger version of it, called "strong property $(T)$" (which is also an analogue of the ... More

Berkovich spectra of elements in Banach RingsOct 22 2014Adapting the notion of the spectrum $\Sigma_a$ for an element $a$ in an ultrametric Banach algebra (as defined by Berkovich), we introduce and briefly study the Berkovich spectrum $\sigma^{Ber}_R(u)$ of an element $u$ in a Banach ring $R$. This spectrum ... More

Invariant ideals of twisted crossed productsJun 03 2002Jun 25 2002We prove a result concerning the inclusion of non-trivial invariant ideals inside non-trivial ideals of a twisted crossed product. We will also give results concerning the primeness and simplicity of crossed products of twisted actions of locally compact ... More

Adams operations on classical compact Lie groupsOct 07 2015Aug 05 2016Let $G$ be $U(n)$, $SU(n)$, $Sp(n)$ or $Spin(n)$. In this short note we give explicit general formulas for Adams operations on $K^*(G)$, and eigenvectors of Adams operations on $K^*(U(n))$.

Gauss-Lusztig Decomposition for $GL_q^+(N,R)$ and Representation by q-ToriNov 17 2011Sep 18 2012We found an explicit construction of a representation of the positive quantum group $GL_q^+(N,\R)$ and its modular double $GL_{q\til[q]}^+(N,\R)$ by positive essentially self-adjoint operators. Generalizing Lusztig's parametrization, we found a Gauss ... More

On the Efficiency of Quantum Algorithms for Hamiltonian SimulationMay 08 2010Oct 11 2010We study the efficiency of algorithms simulating a system evolving with Hamiltonian $H=\sum_{j=1}^m H_j$. We consider high order splitting methods that play a key role in quantum Hamiltonian simulation. We obtain upper bounds on the number of exponentials ... More

Crater Property in Two-Particle Bound States: When and WhyOct 26 1999Crater has shown that, for two particles (with masses $m_1$ and $m_2$) in a Coulombic bound state, the charge distribution is equal to the sum of the two charge distributions obtained by taking $m_1\to\infty$ and $m_2\to\infty$ respectively, while keeping ... More

Qualitative Aspects of Polarization Distributions In Excited Heavy Hadron ProductionsSep 29 1996Within the context of flux tube models, heavy quark fragmentation takes place through the breaking of flux tubes with the production of a (di)quark-anti(di)quark pair. It is found that the (di)quark produced are more likely to be found in an $L_z=0$ state. ... More

Heavy Baryons and Multiquark Exotics in the Large $N_c$ limitNov 10 1995In the large $N_c$ limit, one can describe normal heavy baryons $Qqq$ and heavy pentaquarks $\bar Qqqqq$ as bound states of heavy mesons to chiral (anti)solitons. In this picture, the strong and electromagnetic decay parameters of these hadrons can be ... More

A Transversality Theorem for some Classical VarietiesNov 14 2011Nov 18 2011In 2009, de Fernex and Hacon proposed a generalization of the notion of the singularities to normal varieties that are not Q-Gorenstein. Based on their work, we generalize Kleiman's transversality theorem to subvarieties with log terminal or log canonical ... More

Mathematical pendulum and its variantsMay 27 2009In this paper we show that there are applications that transform the movement of a pendulum into movements in $\mathbb{R}^3$. This can be done using Euler top system of differential equations. On the constant level surfaces, Euler top system reduces to ... More

On Exponential-Time Completeness of the Circularity Problem for Attribute GrammarsOct 10 2000Attribute grammars (AGs) are a formal technique for defining semantics of programming languages. Existing complexity proofs on the circularity problem of AGs are based on automata theory, such as writing pushdown acceptor and alternating Turing machines. ... More

MOND's Problem in Local GroupJan 14 2011I use the distances and motions of Local Group galaxies to test Modified Newtonian Dynamics (MOND). The old Local Group timing argument of Kahn & Woltjer, which assumed Newtonian gravity and a simple radial orbit, indicated that the total mass of M31 ... More

On quaternionic functional analysisSep 06 2006In this article, we will show that the category of quaternion vector spaces, the category of (both one-sided and two sided) quaternion Hilbert spaces and the category of quaternion $B^*$-algebras are equivalent to the category of real vector spaces, the ... More

The scaling properties of dynamical fluctuations in temporal networksDec 09 2015The factorial moments analyses are performed to study the scaling properties of the dynamical fluctuations of contacts and nodes in temporal networks based on empirical data sets. The intermittent behaviors are observed in the fluctuations for all orders ... More

The bi-pyramidal nature, the Lucas series in the genetic code and their relation to aminoacyl-tRNA synthetasesSep 19 2003New analyses of the organization of the genetic code system together with their relation to the two classes of aminoacyl-tRNA synthetases are reported in this work. A closer inspection revealed how the enzymes and the 20 amino acids of the genetic code ... More

Friedel oscillation near a van Hove singularity in two-dimensional Dirac materialsJan 05 2016We consider Friedel oscillation in the two-dimensional Dirac materials when Fermi level is near the van Hove singularity. Twisted graphene bilayer and the surface state of topological crystalline insulator are the representative materials which show low-energy ... More

Oscillations of the Inner Regions of Viscous Accretion DisksDec 11 2008Although quasi-periodic oscillations (QPOs) have been discovered in different X-ray sources, their origin is still a matter of debate. Analytical studies of hydrodynamic accretion disks have shown three types of trapped global modes with properties that ... More

Thermodynamics of the System of Distinguishable ParticlesMar 27 2009Jun 29 2009The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the entropy is not extensive. ... More

AdS_5 Supersymmetry in N=1 SuperspaceMay 24 2011Aug 21 2011We use N=1 superspace to construct the supersymmetric matter couplings of vector and hyper multiplets in a five-dimensional anti-de Sitter spacetime background. For hypermultiplets, we find that AdS_5 supersymmetry requires the scalar fields to lie on ... More

Examples of Amenable Kac systemOct 27 2000By giving an interesting characterisation of amenable multiplicative unitaries in term of one dimensional representations, we show in a simple way that bicrossproducts of amenable locally compact groups is both amenable and coamenable.

Kinetic Monte Carlo simulation of faceted islands in heteroepitaxy using multi-state lattice modelSep 09 2009A solid-on-solid model is generalized to study the formation of Ge pyramid islands bounded by (105) facets on Si(100) substrates in two dimensions. Each atomic column is not only characterized by the local surface height but also by two deformation state ... More

Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)Oct 03 1994We simulate 50 off-lattice DLA clusters, one million particles each. The probability distribution of the angle of attachment of arriving particles with respect to the local radial direction is obtained numerically. For increasing cluster size, $N$, the ... More

$KR$-theory of compact Lie groups with group anti-involutionsMay 14 2014Oct 17 2015Let $G$ be a compact, connected, and simply-connected Lie group, equipped with an anti-involution $a_G$ which is the composition of a Lie group involutive automorphism $\sigma_G$ and the group inversion. We view $(G, a_G)$ as a Real $(G, \sigma_G)$-space ... More

Strong Security Polar Coding with Delayed Wiretap Channel State InformationDec 29 2018Secure and reliable communication over the wiretap channel of delayed channel state information (CSI) is an important realistic subject for the study of physical layer secure coding. In this paper a communication model of this delay CSI assumption is ... More

Notes on Scattering Amplitudes as Differential FormsJul 29 2018Aug 31 2018Inspired by the idea of viewing amplitudes in ${\cal N}=4$ SYM as differential forms on momentum twistor space, we introduce differential forms on the space of spinor variables, which combine helicity amplitudes in any four-dimensional gauge theory as ... More

On tensor products of positive representations of split real quantum Borel subalgebra $U_{q\tilde{q}}(b_R)$May 19 2014May 29 2014We studied the positive representations $P_\lambda$ of split real quantum groups $U_{q\tilde{q}}(g_R)$ restricted to the Borel subalgebra $U_{q\tilde{q}}(b_R)$. We proved that the restriction is independent of the parameter $\lambda$. Furthermore, we ... More

Conical Kahler-Einstein metric revisitedJul 20 2012Oct 07 2012In this paper we introduce the "interpolation-degneration" strategy to study Kahler-Einstein metrics on a smooth Fano manifold with cone singularities along a smooth divisor that is proportional to the anti-canonical divisor. By "interpolation" we show ... More

Universal programmable devices for unambiguous discriminationJun 22 2006We discuss the problem of designing unambiguous programmable discriminators for any $n$ unknown quantum states in an $m$-dimensional Hilbert space. The discriminator is a fixed measurement which has two kinds of input registers: the program registers ... More

Quantum Bit Commitment can be Unconditionally SecureDec 20 2001Jul 28 2003It is generally believed that unconditionally secure quantum bit commitment (QBC) is proven impossible by a "no-go theorem". We point out that the theorem only establishes the existence of a cheating unitary transformation in any QBC scheme secure against ... More

Insecurity of Quantum Bit Commitment with Secret ParametersJan 31 2006The impossibility proof of unconditionally secure quantum bit commitment is crucially dependent on the assertion that Bob is not allowed to generate probability distributions unknown to Alice. This assertion is actually not meaningful, because Bob can ... More

Secret parameters in quantum bit commitmentAug 24 2005Sep 28 2005The no-go theorem of unconditionally secure quantum bit commitment depends crucially on the assumption that Alice knows in detail all the probability distributions generated by Bob. We show that if a protocol is concealing, then the cheating unitary transformation ... More

Spectral Compressed Sensing via Structured Matrix CompletionApr 16 2013May 01 2013The paper studies the problem of recovering a spectrally sparse object from a small number of time domain samples. Specifically, the object of interest with ambient dimension $n$ is assumed to be a mixture of $r$ complex multi-dimensional sinusoids, while ... More

Properties of post-shock solar wind deduced from geomagnetic indices responses after sudden impulsesAug 16 2016Interplanetary (IP) shock plays a key role in causing the global dynamic changes of the geospace environment. For the perspective of Solar-Terrestrial relationship, it will be of great importance to estimate the properties of post-shock solar wind simply ... More

Domains of Injectivity for the Gross-Hopkins Period MapNov 29 2013Mar 11 2015We determine the domain of injectivity of the Gross-Hopkins Period map around each points in the deformation space for a fixed formal module $\bar{F}$ of height 2 that defined over a finite field. And then we will use this to conclude some local analyticity ... More

Multiple Testing under Dependence with Approximate Conditional LikelihoodDec 25 2014Apr 09 2016It has long been recognized that statistical dependence in data poses a significant challenge to large-scale multiple testing. Failure to take the dependence into account can result in severe drop in performance of multiple testing. In particular, the ... More

Geometric Bijections Between Spanning Trees and Break DivisorsSep 09 2015The Jacobian group ${\rm Jac}(G)$ of a finite graph $G$ is a group whose cardinality is the number of spanning trees of $G$. $G$ also has a tropical Jacobian which has the structure of a real torus; using the notion of break divisors, An et al. obtained ... More

On isolated log canonical centersApr 15 2013In this paper, we show that the depth of an isolated log canonical center is determined by the cohomology of the -1 discrepancy diviors over it. A similar result also holds for normal isolated Du Bois singularities.

Mathematical analysis of stochastic models for tumor-immune systemsJun 15 2009In this paper we investigate some stochastic models for tumor-immune systems. To describe these models we used a Wiener process, as the noise has a stabilization effect. Their dynamics are studied in terms of stochastic stability in the equilibrium points, ... More

Positive Casimir and Central Characters of Split Real Quantum GroupsMar 02 2015Mar 30 2015We describe the generalized Casimir operators and their actions on the positive representations $P_{\lambda}$ of the modular double of split real quantum groups $U_{q\tilde{q}}(g_R)$. We introduce the notion of virtual highest and lowest weights, and ... More

A unified composite model of inflation and dark matter in the Nambu-Jona-Lasinio theorySep 15 2016In this work, we propose a cosmological scenario inherently based on the effective Nambu-Jona-Lasinio (NJL) model that comic inflation and dark matter can be successfully described by a single framework. On the one hand, the scalar channel of the NJL ... More

Kähler-Einstein metrics and volume minimizationFeb 16 2016Apr 11 2016We prove that if a $\mathbb{Q}$-Fano variety $V$ specially degenerates to a K\"ahler-Einstein $\mathbb{Q}$-Fano variety $V$, then for any ample Cartier divisor $H=-r^{-1} K_V$ with $r\in \mathbb{Q}_{>0}$, the normalized volume $\widehat{\rm vol}(v)=A_X^n(v)\cdot ... More

Low-energy Effective Theory for Spin Dynamics of Fluctuating StripesOct 20 2005We derive an effective Hamiltonian for spin dynamics of fluctuating smectic stripes from the t-J model in the weak coupling limit t >> J. Besides the modulation of spin magnitude, the high energy hopping term would induce a low-energy anti-ferromagnetic ... More

Fluid Invasion in Porous Media: Viscous Gradient PercolationMay 12 2004We suggest that the dynamics of stable viscous invasion fronts in porous media depends on the volume capacitance of the media. At high volume capacitance, our network simulations provide numerical evidence of a scaling relation between the front width ... More

Local random configuration-tree theory for string repetition and facilitated dynamics of glassNov 11 2016We derive a microscopic theory of glassy dynamics based on string-like hopping motions of particles enabled by the presence of voids. Self-generated disorder is realized as a random energy landscape in the configuration space of particles within a local ... More

Interior continuity of two-dimensional weakly stationary-harmonic multiple-valued functionsAug 01 2011May 09 2013In his big regularity paper, Almgren has proven the regularity theorem for mass-minimizing integral currents. One key step in his paper is to derive the regularity of Dirichlet-minimizing $\mathbf{Q}_{Q}(\mathbb{R}^{n})$-valued functions in the Sobolev ... More

Duality of Hopf $C^*$-algebrasJun 03 2002In this paper, we study the duality theory of Hopf $C^*$-algebras in a general ``Hilbert-space-free'' framework. Our particular interests are the ``full duality'' and the ``reduced duality''. In order to study the reduced duality, we define the interesting ... More

An n-to-1 Bidder Reduction for Multi-item Auctions and its ApplicationsJun 12 2014Jun 23 2014In this paper, we introduce a novel approach for reducing the $k$-item $n$-bidder auction with additive valuation to $k$-item $1$-bidder auctions. This approach, called the \emph{Best-Guess} reduction, can be applied to address several central questions ... More

A new look at Condition AJul 02 2009Ozeki and Takeuchi \cite[I]{OT} introduced the notion of Condition A and Condition B to construct two classes of inhomogeneous isoparametric hypersurfaces with four principal curvatures in spheres, which were later generalized by Ferus, Karcher and M\"unzner ... More

Secure Quantum Bit Commitment Using Unstable ParticlesMar 17 2006Mar 28 2006Using unstable particles which decay by emitting neutrinos, we propose a quantum bit commitment protocol that is humanly impossible to break. Neutrinos carry away quantum information, but their interaction with matter is so weak that it would take an ... More

Distributing a multiparticle state by entanglement swappingJul 07 2005Using entanglement swapping, we construct a scheme to distribute an arbitrary multiparticle state to remote receivers. Only Bell states and two-qubit collective measurements are required.