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Hadamard well-posedness of the gravity water waves systemJun 19 2015Jun 08 2016We consider in this article the system of (pure) gravity water waves in any dimension and in fluid domains with general bottoms. The unique solvability of the problem was established by Alazard-Burq-Zuily [Invent. Math, 198 (2014), no. 1, 71--163] at ... More

Vector bundles, dualities, and classical geometry on a curve of genus twoFeb 24 2007Let $C$ be a curve of genus two. We denote by $SU_C(3)$ the moduli space of semi-stable vector bundles of rank 3 and trivial determinant over $C$, and by $J^d$ the variety of line bundles of degree $d$ on $C$. In particular, $J^1$ has a canonical theta ... More

On Gr-Functors between Gr-Categories: Obstruction theory for Gr-Functors of the type $(\varphi,f)$Aug 09 2007Apr 18 2009Each Gr-functor of the type $(\varphi,f)$ of a Gr-category of the type $(\Pi,\C)$ has the obstruction be an element $\overline{k}\in H^3(\Pi,\C).$ When this obstruction vanishes, there exists a bijection between congruence classes of Gr-functors of the ... More

Introduction to Ann-categoriesFeb 20 2007Feb 21 2007In this paper, we present new concepts of Ann-categories, Ann-functors, and a transmission of the structure of categories based on Ann-equivalences. We build Ann-category of Pic-funtors and prove that each Ann-category can be faithfully embedded into ... More

Touch-based object localization in cluttered environmentsSep 27 2017Touch-based object localization is an important component of autonomous robotic systems that are to perform dexterous tasks in real-world environments. When the objects to locate are placed within clutters, this touch-based procedure tends to generate ... More

Norm of the Hausdorff operator on the real Hardy space $H^1(\mathbb R)$Feb 12 2017Let $\varphi$ be a nonnegative integrable function on $(0,\infty)$. It is well-known that the Hausdorff operator $\mathcal H_\varphi$ generated by $\varphi$ is bounded on the real Hardy space $H^1(\mathbb R)$. The aim of this paper is to give the exact ... More

The W43-MM1 mini-starburst ridge, a test for star formation efficiency modelsApr 18 2014Jun 04 2014Context: Star formation efficiency (SFE) theories are currently based on statistical distributions of turbulent cloud structures and a simple model of star formation from cores. They remain poorly tested, especially at the highest densities. Aims: We ... More

Document Searching System based on Natural Language Query Processing for Vietnam Open Courseware LibraryDec 09 2009The necessary of buiding the searching system being able to support users expressing their searching by natural language queries is very important and opens the researching direction with many potential. It combines the traditional methods of information ... More

Almost periodic solutions of periodic linear partial functional differential equationsJul 10 2018We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$. The main conditions are stated in terms of the spectrum of the monodromy ... More

On universal norms and the first layers of Z_p-extensions of a number fieldMar 01 2013For an odd prime p and a number field F containing a primitive p-th root of unity, we describe the Kummer radical A_F of the first layers of all the Z_p-extensions of F in terms of universal norms of p-units along the cyclotomic tower of F . We also study ... More

Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker SetMay 02 2015Sep 09 2015We introduce the first operator splitting method for composite monotone inclusions outside of Hilbert spaces. The proposed primal-dual method constructs iteratively the best Bregman approximation to an arbitrary point from the Kuhn-Tucker set of a composite ... More

Some properties of $h$-extendible domains in $\mathbb C^{n+1}$Jun 29 2019Jul 06 2019The purpose of this article is twofold. The first aim is to characterize $h$-extendibility of smoothly bounded pseudoconvex domains in $\mathbb C^{n+1}$ by their noncompact automorphism groups. Our second goal is to show that if the squeezing function ... More

On the braiding of an Ann-categorySep 08 2009A braided Ann-category $\A$ is an Ann-category $\A$ together with the braiding $c$ such that $(\A, \otimes, a, c, (I,l,r))$ is a braided tensor category, and $c$ is compatible with the distributivity constraints. The paper shows the dependence of the ... More

On monoidal equivalences and Ann-equivalencesMay 05 2007May 25 2011In this paper, we show another proof of the problem by constructing a strict monoidal category M(C) consisting of M-functors and M-morphisms of a category C and we prove C is equivalent to it. The proof is based on a basic character of monoidal equivalences. ... More

Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half lineJul 10 2018We study conditions for the abstract linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t), t\ge 0$ to have asymptotic almost periodic solutions, where $F(\cdot )$ is periodic, $f$ is asymptotic almost periodic. The main conditions are stated ... More

Strong Second-Order Karush--Kuhn--Tucker Optimality Conditions for Vector OptimizationDec 01 2016May 05 2017In the present paper, we focus on the vector optimization problems with inequality constraints, where objective functions and constrained functions are Fr\'echet differentiable, and whose gradient mapping is locally Lipschitz on an open set. By using ... More

On monoidal functors between (braided) Gr-categoriesMay 26 2011In this paper, we state and prove precise theorems on the classification of the category of (braided) categorical groups and their (braided) monoidal functors, and some applications obtained from the basic studies on monoidal functors between categorical ... More

Optimality conditions for approximate Pareto solutions of a nonsmooth vector optimization problem with an infinite number of constraintsAug 30 2018May 13 2019In this paper, we present some new necessary and sufficient optimality conditions in terms of the Clarke subdifferentials for approximate Pareto solutions of a nonsmooth vector optimization problem which has an infinite number of constraints. As a consequence, ... More

On the Axiomatics of Ann-CategoriesNov 23 2007In this paper, we have studied the axiomatics of {\it Ann-categories} and {\it categorical rings.} These are the categories with distributivity constraints whose axiomatics are similar with those of ring structures. The main result we have achieved is ... More

Abelian crossed modules and strict Picard categoriesSep 12 2013In this paper, we state the notion of morphisms in the category of abelian crossed modules and prove that this category is equivalent to the category of strict Picard categories and regular symmetric monoidal functors. The theory of obstructions for symmetric ... More

A study of convex convex-composite functions via infimal convolution with applicationsJul 18 2019In this note we provide a full conjugacy and subdifferential calculus for convex convex-composite functions in finite-dimensional space. Our approach, based on infimal convolution and cone-convexity, is straightforward and yields the desired results under ... More

Jacobi-Trudi type formula for character of irreducible representations of $\frak{gl}(m|1)$Feb 27 2018Jun 25 2018We prove a determinantal type formula to compute the irreducible characters of the general Lie superalgebra $\mathfrak{gl}(m|1)$ in terms of the characters of the symmetric powers of the fundamental representation and their duals. This formula was conjectured ... More

Building a Vietnamese Language Query Processing Framework for ELibrary Searching SystemsNov 03 2009In the objective of building intelligent searching systems for Elibraries or online bookstores, we have proposed a searching system model based on a Vietnamese language query processing component. Such document searching systems based on this model can ... More

Real-time Progressive 3D Semantic Segmentation for Indoor SceneApr 01 2018Apr 05 2019The widespread adoption of autonomous systems such as drones and assistant robots has created a need for real-time high-quality semantic scene segmentation. In this paper, we propose an efficient yet robust technique for on-the-fly dense reconstruction ... More

JSIS3D: Joint Semantic-Instance Segmentation of 3D Point Clouds with Multi-Task Pointwise Networks and Multi-Value Conditional Random FieldsApr 01 2019Apr 05 2019Deep learning techniques have become the to-go models for most vision-related tasks on 2D images. However, their power has not been fully realised on several tasks in 3D space, e.g., 3D scene understanding. In this work, we jointly address the problems ... More

Planck cold clumps in the $λ$ Orionis complex: I. Discovery of an extremely young Class 0 protostellar object and a proto-brown dwarf candidate in a bright rimmed clump PGCC G192.32-11.88Nov 25 2015Dec 21 2015We are performing a series of observations with ground-based telescopes toward Planck Galactic cold clumps (PGCCs) in the $\lambda$ Orionis complex in order to systematically investigate the effects of stellar feedback. In the particular case of PGCC ... More

Robust Anomaly-Based Ship Proposals Detection from Pan-sharpened High-Resolution Satellite ImageApr 25 2018Pre-screening of ship proposals is now employed by top ship detectors to avoid exhaustive search across image. In very high resolution (VHR) optical image, ships appeared as a cluster of abnormal bright pixels in open sea clutter (noise-like background). ... More

Local well-posedness for the Zakharov system on the background of a line solitonMay 12 2016Mar 21 2018We prove that the Cauchy problem for the two-dimensional Zakharov system is locally well-posed for initial data which are localized perturbations of a line solitary wave. Furthermore, for this Zakharov system, we prove weak convergence to a nonlinear ... More

Theory of the Anomalous Tunnel Hall Effect at Ferromagnet-Semiconductor JunctionsJul 25 2017We report on theoretical investigations of carrier scattering asymmetry at ferromagnet-semiconductor junctions. By an analytical $2\times 2$ spin model, we show that, when Dresselhaus interactions is included in the conduction band of III-V $T_d$ symmetry ... More

Angular Momentum of the N2H+ Cores in the Orion A CloudJan 04 2016Jan 08 2016We have analyzed the angular momentum of the molecular cloud cores in the Orion A giant molecular cloud observed in the N2H+ J = 1-0 line with the Nobeyama 45 m radio telescope. We have measured the velocity gradient using position velocity diagrams passing ... More

The dense galactic environments of the Milky WayDec 14 2018Star formation takes place in the dense gas phase, and therefore a simple dense gas and star formation rate relation has been proposed. With the advent of multi-beam receivers, new observations show that the deviation from linear relations is possible. ... More

Arcsecond resolution images of the chemical structure of the low-mass protostar IRAS 16293-2422Sep 02 2011It remains a key challenge to establish the molecular content of different components of low-mass protostars, like their envelopes and disks, and how this depends on the evolutionary stage and/or environment of the young stars. Observations at submillimeter ... More

Search for High-Mass Protostellar Objects in Cold IRAS SourcesSep 19 2018We present the results of CS J=2-1 mapping observations towards 39 massive star-forming regions selected from the previous CO line survey of cold IRAS sources with high-velocity CO flows along the Galactic plane (Yang et al. 2002). All sources are detected ... More

The MALATANG Survey: the L_gas-L_IR correlation on sub-kiloparsec scale in six nearby star-forming galaxies as traced by HCN J=4-3 and HCO^+ J=4-3May 15 2018We present HCN J=4-3 and HCO^+ J=4-3 maps of six nearby star-forming galaxies, NGC 253, NGC 1068, IC 342, M82, M83, and NGC 6946, obtained with the James Clerk Maxwell Telescope as part of the MALATANG survey. All galaxies were mapped in the central 2 ... More

Giant Spin Seebeck Effect through an Interface Organic SemiconductorMay 11 2019Interfacing an organic semiconductor C60 with a non-magnetic metallic thin film (Cu or Pt) has created a novel heterostructure that is ferromagnetic at ambient temperature, while its interface with a magnetic metal (Fe or Co) can tune the anisotropic ... More

Magnetic stability of massive star forming clumps in RCW 106Apr 12 2019The RCW~106 molecular cloud complex is an active massive star-forming region where a ministarburst is taking place. We examined its magnetic structure by near-IR polarimetric observations with the imaging polarimeter SIRPOL on the IRSF 1.4 m telescope. ... More

Gravitationally unstable condensations revealed by ALMA in the TUKH122 prestellar core in the Orion A cloudMar 09 2018We have investigated the TUKH122 prestellar core in the Orion A cloud using ALMA 3 mm dust continuum, N$_2$H$^+$ ($J=1-0$), and CH$_3$OH ($J_K=2_K-1_K$) molecular line observations. Previous studies showed that TUKH122 is likely on the verge of star formation ... More

Chemical evolution of the HC3N and N2H+ molecules in dense cores of the Vela C giant molecular cloud complexSep 29 2015We have observed the HC3N (J=10-9) and N2H+ (J=1-0) lines toward the Vela C molecular clouds with the Mopra 22 m telescope to study chemical characteristics of dense cores. The intensity distributions of these molecules are similar to each other at an ... More

Magnetic stability of massive star forming clumps in RCW 106Apr 12 2019Apr 16 2019The RCW 106 molecular cloud complex is an active massive star-forming region where a ministarburst is taking place. We examined its magnetic structure by near-IR polarimetric observations with the imaging polarimeter SIRPOL on the IRSF 1.4 m telescope. ... More

Endpoint estimates for commutators of singular integrals related to Schrödinger operatorsMar 28 2012Apr 09 2015Let $L= -\Delta+ V$ be a Schr\"odinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative potential, $V\ne 0$, and belongs to the reverse H\"older class $RH_{d/2}$. In this paper, we study the commutators $[b,T]$ for $T$ in a class $\mathcal ... More

The scaling relations and star formation laws of ministarburst complexesMay 03 2016Oct 13 2016The scaling relations and the star formation laws for molecular cloud complexes in the Milky Way is investigated. We compare their masses $M_{\rm gas}$, mass surface densities $\Sigma_{M_{\rm gas}}$, radii $R$, velocity dispersions $\sigma$, star formation ... More

Cultural evolution in Vietnam's early 20th century: a Bayesian networks analysis of Franco-Chinese house designsMar 03 2019The study of cultural evolution has taken on an increasingly interdisciplinary and diverse approach in explicating phenomena of cultural transmission and adoptions. Inspired by this computational movement, this study uses Bayesian networks analysis, combining ... More

Fréchet-valued formal power seriesJan 12 2019Let $A$ be a non-projectively-pluripolar set in a Fr\'{e}chet space $E.$ We give sufficient conditions to ensure the convergence on some zero-neighbourhood in $E$ of a (sequence of) formal power series of Fr\'{e}chet-valued continuous homogeneous polynomials ... More

Further properties of Gaussian Reproducing Kernel Hilbert SpacesOct 23 2012We generalize the orthonormal basis for the Gaussian RKHS described in \cite{MinhGaussian2010} to an infinite, continuously parametrized, family of orthonormal bases, along with some implications. The proofs are direct generalizations of those in \cite{MinhGaussian2010}. ... More

Optimality conditions and local regularity of the value function for the optimal exit time problemMay 09 2017We consider the control problem with \textit{exit time}. Unlike the Bolza and Mayer problems, in this problem the terminal time of the trajectories is not fixed, but it is the first time at which they reach a given closed subset - \textit{the target}. ... More

Variational analysis and regularity of the minimum time function for differential inclusionsFeb 17 2015Apr 27 2018We study the time optimal control problem for differential inclusions with a general closed target. We first give the representation of the proximal horizontal subgradients of the minimum time function $\mathcal{T}$ and then, together with the representation ... More

Variational analysis and regularity of the minimum time function for differential inclusionsFeb 17 2015We study the time optimal control problem for differential inclusions with a general closed target. We first give the representation of the proximal horizontal subgradients of the minimum time function $\mathcal{T}$ and then, together with the representation ... More

Some Constructions of the Golden Ratio in an Arbitrary TriangleApr 02 2019We establish some new constructions of the golden ratio in an arbitrary triangle using symmedians and nine-point circle.

On weak$^*$-convergence in $H^1_L(\mathbb R^d)$May 11 2012Feb 16 2013Let $L= -\Delta+ V$ be a Schr\"odinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse H\"older class $RH_{d/2}$. In this paper, we prove a version of the classical theorem of Jones and Journ\'e ... More

On equivariant characteristic ideals of real classesMay 28 2013Let $p$ be an odd prime, $F/{\Bbb Q}$ an abelian totally real number field, $F_\infty/F$ its cyclotomic ${\Bbb Z}_p$-extension, $G_\infty = Gal (F_\infty / {\Bbb Q}),$ ${\Bbb A} = {\Bbb Z}_p [[G_\infty]].$ We give an explicit description of the equivariant ... More

ISIC 2017 Skin Lesion Segmentation Using Deep Encoder-Decoder NetworkJul 24 2018This paper summarizes our method and validation results for part 1 of the ISBI Challenge 2018. Our algorithm makes use of deep encoder-decoder network and novel skin lesion data augmentation to segment the challenge objective. Besides, we also propose ... More

Global weak solutions for generalized SQG in bounded domainsApr 05 2017We prove the existence of global $L^2$ weak solutions for a family of generalized inviscid surface-quasi geostrophic (SQG) equations in bounded domains of the plane. In these equations, the active scalar is transported by a velocity field which is determined ... More

The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and dualityAug 23 2004Nov 24 2004Let SU_X(3) be the moduli space of semi-stable vector bundles of rank 3 and trivial determinant on a curve X of genus 2. It maps onto P^8 and the map is a double cover branched over a sextic hypersurface called the Coble sextic. In the dual P^8 there ... More

The factor set of Gr-categories of the type $(Π,A)$Nov 09 2009Any $\Gamma$-graded categorical group is determined by a factor set of a categorical group. This paper studies the factor set of the group $\Gamma$ with coefficients in the categorical group of the type $(\Pi,A).$ Then, an interpretation of the notion ... More

Variational Analysis for the Bilateral Minimal Time FunctionMay 09 2017In this paper, we derive formulas for the Fr\'echet (singular) subdiferentials of the bilateral minimal time function $T:\mathbb{R}^n \times \mathbb{R}^n \to [0,+\infty]$ associated with a system governed by differential inclusions. As a consequence, ... More

Density-Dependent Squeezing of Excitons in Highly Excited SemiconductorsJul 31 1995The time evolution from coherent states to squeezed states of high density excitons is studied theoretically based on the boson formalism and within the Random Phase Approximation. Both the mutual interaction between excitons and the anharmonic exciton-photon ... More

Forward-Backward Splitting with Bregman DistancesMay 19 2015Oct 07 2016We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established using the notion of variable quasi-Bregman monotone sequences. Various ... More

Cohomological Classification of Ann-categoriesMay 26 2011Mar 19 2013The notion of Ann-categories is a categorification of the ring structure. Regular Ann-categories were classified by Shukla algebraic cohomology. In this article, we state and prove the precise theorem on classification for the general case due to Mac ... More

Structure of Ann-CategoriesApr 11 2008Sep 15 2013This paper presents the structure conversion by which from an Ann-category $\A,$ we can obtain its reduced Ann-category of the type $(R,M)$ whose structure is a family of five functions $k=(\xi,\eta,\alpha,\lambda,\rho)$. Then we will show that each Ann-category ... More

Structure of Ann-categoriesMay 11 2008Sep 15 2013Each Ann-category $\A$ is equivalent to an Ann-category of the type $(R,M),$ where $M$ is an $R$-bimodule. The family of constraints of $A$ induces a {\it structure} on $(R,M).$ The main result of the paper is: 1. {\it There exists a bijection between ... More

Structure of Ann-categories and Mac Lane - Shukla cohomologyAug 24 2007In this paper we study the structure of a class of categories having two operations which satisfy axioms analoguos to that of rings. Such categories are called "Ann - categories". We obtain the classification theorems for regular Ann - categories and ... More

Sharp Strichartz estimates for water waves systemsDec 08 2015Sep 26 2016Water waves are well-known to be dispersive at the linearization level. Considering the fully nonlinear systems, we prove for reasonably smooth solutions the optimal Strichartz estimates for pure gravity waves and the semi-classical Strichartz estimates ... More

A pseudo-local property of gravity water waves systemJul 06 2015Mar 14 2016By proving a weighted contraction estimate in uniformly local Sobolev spaces for the flow of gravity water waves, we show that this nonlocal system is in fact pseudo-local in the following sense: locally in time, the dynamic far away from a given bounded ... More

A sharp Cauchy theory for the 2D gravity-capillary wavesJan 27 2016Feb 03 2016This article is devoted to the Cauchy problem for the 2D gravity-capillary water waves in fluid domains with general bottoms. We prove that the Cauchy problem in Sobolev spaces is uniquely solvable for data $\frac{1}{4}$ derivatives less regular than ... More

Variable Quasi-Bregman Monotone SequencesMay 17 2015We introduce a notion of variable quasi-Bregman monotone sequence which unifies the notion of variable metric quasi-Fej\'er monotone sequences and that of Bregman monotone sequences. The results are applied to analyze the asymptotic behavior of proximal ... More

Group Extensions of the Co-type of a Crossed Module and Strict Categorical GroupsMar 15 2015Prolongations of a group extension can be studied in a more general situation that we call group extensions of the co-type of a crossed module. Cohomology classification of such extensions is obtained by applying the obstruction theory of monoidal functors. ... More

The Coherence Theorem for Ann-CategoriesAug 03 2007This paper presents the proof of the coherence theorem for Ann-categories whose set of axioms and original basic properties were given in [9]. Let $$\A=(\A,{\Ah},c,(0,g,d),a,(1,l,r),{\Lh},{\Rh})$$ be an Ann-category. The coherence theorem states that ... More

Magnetically Tunable Organic Semiconductors with Superparamagnetic NanoparticlesFeb 18 2019Jun 11 2019Magnetic nanoparticles (MNPs) exhibiting superparamagnetic properties might generate large magnetic dipole-dipole interaction with electron spins in organic semiconductors (OSECs). This concept could be considered analogous to the effect of hyperfine ... More

Near-Infrared Imaging Polarimetry toward M17 SWexJun 28 2019We conducted near-infrared (JHKs) imaging polarimetry toward the infrared dark cloud (IRDC) M17 SWex, including almost all of the IRDC filaments as well as its outskirts, with the polarimeter SIRPOL on the IRSF 1.4 m telescope. We revealed the magnetic ... More

When to make a step? Tackling the timing problem in multi-contact locomotion by TOPP-MPCSep 15 2016We present a Model-Predictive Controller (MPC) for multi-contact locomotion where predictive optimizations are realized by Time-Optimal Path Parameterization (TOPP). The key feature of this design is that, contrary to existing planners where step timings ... More

An inventory of Lattice Boltzmann models of multiphase flowsMay 18 2001This document reports investigations of models of multiphase flows using Lattice Boltzmann methods. The emphasis is on deriving by Chapman-Enskog techniques the corresponding macroscopic equations. The singular interface (Young-Laplace-Gauss) model is ... More

Minimizing Total Busy Time with Application to Energy-efficient Scheduling of Virtual Machines in IaaS cloudsSep 19 2016Infrastructure-as-a-Service (IaaS) clouds have become more popular enabling users to run applications under virtual machines. Energy efficiency for IaaS clouds is still challenge. This paper investigates the energy-efficient scheduling problems of virtual ... More

Learning conditional independence structure for high-dimensional uncorrelated vector processesSep 13 2016We formulate and analyze a graphical model selection method for inferring the conditional independence graph of a high-dimensional nonstationary Gaussian random process (time series) from a finite-length observation. The observed process samples are assumed ... More

Regular orbit closures in module varietiesDec 19 2006Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite dimensional modules over A whose orbit closures are regular varieties.

Local and global strong solutions for SQG in bounded domainsMay 15 2017We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of $\mathbb{R}^2$. When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for ... More

On the covariance of X in AX = XBJun 12 2017Hand-eye calibration, which consists in identifying the rigid- body transformation between a camera mounted on the robot end-effector and the end-effector itself, is a fundamental problem in robot vision. Mathematically, this problem can be formulated ... More

Minimizing Total Busy Time for Energy-Aware Virtual Machine Allocation ProblemsNov 21 2015This paper investigates the energy-aware virtual machine (VM) allocation problems in clouds along characteristics: multiple resources, fixed interval time and non-preemption of virtual machines. Many previous works have been proposed to use a minimum ... More

Global weak solutions for SQG in bounded domainsDec 07 2016We prove existence of global weak $L^2$ solutions of the inviscid SQG equation in bounded domains.

A probabilistic framework for tracking uncertainties in robotic manipulationJan 04 2019Precisely tracking uncertainties is crucial for robots to successfully and safely operate in unstructured and dynamic environments. We present a probabilistic framework to precisely keep track of uncertainties throughout the entire manipulation process. ... More

Hausdorff operators on holomorphic Hardy spaces and applicationsMar 03 2017Aug 18 2017The aim of this paper is to characterize the nonnegative functions $\varphi$ defined on $(0,\infty)$ for which the Hausdorff operator $$\mathscr H_\varphi f(z)= \int_0^\infty f\left(\frac{z}{t}\right)\frac{\varphi(t)}{t}dt$$ is bounded on the Hardy spaces ... More

EMinRET: Heuristic for Energy-Aware VM Placement with Fixed Intervals and Non-preemptionNov 21 2015Infrastructure-as-a-Service (IaaS) clouds have become more popular enabling users to run applications under virtual machines. This paper investigates the energy-aware virtual machine (VM) allocation problems in IaaS clouds along characteristics: multiple ... More

Giant dipole resonance in $^{201}$Tl at low temperatureOct 18 2012The thermal pairing gap obtained by embedding the exact solutions of the pairing problem into the canonical ensemble is employed to calculate the width and strength function of the giant dipole resonance (GDR) within the phonon damping model. The results ... More

Self-consistent quasiparticle RPA for multi-level pairing modelOct 04 2007Particle-number projection within the Lipkin-Nogami (LN) method is applied to the self-consistent quasiparticle random-phase approximation (SCQRPA), which is tested in an exactly solvable multi-level pairing model. The SCQRPA equations are numerically ... More

The Three-mm Ultimate Mopra Milky Way Survey. II. Cloud and Star Formation Near the Filamentary Ministarburst RCW 106Apr 09 2015We report here a study of gas, dust and star formation rates (SFRs) in the molecular cloud complexes (MCCs) surrounding the giant H$\,{\rm \scriptsize{II}}$ region RCW$\,$106 using $^{12}$CO and $^{13}$CO$\,$(1-0) data from the Three-mm Ultimate Mopra ... More

On the importance of using exact pairing in the study of pygmy dipole resonanceAug 27 2013The strength functions of giant dipole resonance (GDR) in oxygen $^{18 - 24}$O, calcium $^{50 - 60}$Ca, and tin $^{120 - 130}$Sn isotopes are calculated within the phonon damping model under three approximations: without superfluid pairing, including ... More

Ring extension problem, Shukla cohomology and Ann-category theoryJun 03 2007Every ring extension of $A$ by $R$ induces a pair of group homomorphisms $\mathcal{L}^{*}:R\to End_\Z(A)/L(A);\mathcal{R}^{*}:R\to End_\Z(A)/R(A),$ preserving multiplication, satisfying some certain conditions. A such 4-tuple $(R,A,\mathcal{L}^{*},\mathcal{R}^{*})$ ... More

Density-dependent phonoriton states in highly excited semiconductorsAug 14 1995The dynamical aspects of the phonoriton state in highly-photoexcited semiconductors is studied theoretically. The effect of the exciton-exciton interaction and nonbosonic character of high-density excitons are taken into account. Using Green's function ... More

Weighted Endpoint Estimates for Commutators of Calderón-Zygmund OperatorsOct 20 2015Let $\delta\in(0,1]$ and $T$ be a $\delta$-Calder\'on-Zygmund operator. Let $w$ be in the Muckenhoupt class $A_{1+\delta/n}({\mathbb R}^n)$ satisfying $\int_{{\mathbb R}^n}\frac {w(x)}{1+|x|^n}\,dx<\infty$. When $b\in{\rm BMO}(\mathbb R^n)$, it is well ... More

Bilinear Decompositions of Products of Hardy and Lipschitz Spaces Through WaveletsOct 15 2015Mar 20 2016The aim of this article is to give a complete solution to the problem of the bilinear decompositions of the products of some Hardy spaces $H^p(\mathbb{R}^n)$ and their duals in the case when $p<1$ and near to $1$, via wavelets, paraproducts and the theory ... More

Infall Signatures in a Prestellar Core embedded in the High-Mass 70 $μ$m Dark IRDC G331.372-00.116May 04 2018Using Galactic Plane surveys, we have selected a massive (1200 M$_\odot$), cold (14 K) 3.6-70 $\mu$m dark IRDC G331.372-00.116. This IRDC has the potential to form high-mass stars and, given the absence of current star formation signatures, it seems to ... More

Changes Of Dust Opacity With Density in the Orion A Molecular CloudNov 27 2012We have studied the opacity of dust grains at submillimeter wavelengths by estimating the optical depth from imaging at 160, 250, 350, and 500 um from the Herschel Gould Belt Survey and comparing this to a column density obtained from the 2MASS-derived ... More

The multi-parameter Hausdorff operators on $H^1$ and $L^p$May 07 2017Dec 13 2017In the present paper, we characterize the nonnegative functions $\varphi$ for which the multi-parameter Hausdorff operator $\mathcal H_\varphi$ generated by $\varphi$ is bounded on the multi-parameter Hardy space $H^1(\mathbb R\times\cdots\times\mathbb ... More

Latent Topic Conversational ModelsSep 19 2018Latent variable models have been a preferred choice in conversational modeling compared to sequence-to-sequence (seq2seq) models which tend to generate generic and repetitive responses. Despite so, training latent variable models remains to be difficult. ... More

The volume of Gaussian states by information geometrySep 03 2015We formulate the problem of determining the volume of the set of Gaussian physical states in the framework of information geometry. That is, by considering phase space probability distributions parametrized by the covariances and supplying this resulting ... More

Herschel observations of B1-bS and B1-bN: two first hydrostatic core candidates in the Perseus star-forming cloudSep 24 2012We report far-IR Herschel observations obtained between 70 $\mu$m and 500 $\mu$m of two star-forming dusty condensations, B1-bS and B1-bN, in the B1 region of the Perseus star-forming cloud. In the Western part of the Perseus cloud, B1-bS is the only ... More

On the amplification of sound (acoustic phonons) by absorption of laser radiation in cylindrical quantum wiresApr 25 2002Based on the quantum transport equation for the electron-phonon system, the absorption coefficient of sound (acoustic phonons) by absorption of laser radiation in cylindrical quantum wires is calculated for the case of monophoton absorption process and ... More

Evaluating Marijuana-Related Tweets On TwitterDec 28 2016This paper studies marijuana-related tweets in social network Twitter. We collected more than 300,000 marijuana related tweets during November 2016 in our study. Our text-mining based algorithms and data analysis unveil some interesting patterns including: ... More

Exact vs. Gauss-Seidel non-LTE radiation transfer solutionsJan 19 2006Although published in 1995, the Gauss-Seidel method for solving the non-LTE radiative transfer problem has deserved too little attention in the astrophysical community yet. Further tests of the performances and of the accuracy of the numerical scheme ... More

A posteriori error estimates for discontinuous Galerkin method to the elasticity problemJun 10 2015This work concerns with the discontinuous Galerkin (DG)method for the time-dependent linear elasticity problem. We derive the a posteriori error bounds for semi-discrete and fully discrete problems, by making use of the stationary elasticity reconstruction ... More

On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes systemFeb 19 2018We address various issues concerning the Cauchy problem for the Zakharov-Rubenchik system (known as the Benney-Roskes system in water waves theory), which models the interaction of short and long waves in many physical situations. Motivated by the transverse ... More