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Renewables and Storage in Distribution Systems: Centralized vs. Decentralized IntegrationJan 11 2016The problem of integrating renewables and storage into a distribution network is considered under two integration models: (i) a centralized model involving a retail utility that owns the integration as part of its portfolio of energy resources, and (ii) ... More

Estimation after Parameter Selection: Performance Analysis and Estimation MethodsMar 01 2015In many practical parameter estimation problems, prescreening and parameter selection are performed prior to estimation. In this paper, we consider the problem of estimating a preselected unknown deterministic parameter chosen from a parameter set based ... More

Multi-Area Interchange Scheduling under UncertaintyNov 15 2016The problem of multi-area interchange scheduling under system uncertainty is considered. A new scheduling technique is proposed for a multi-proxy bus system based on stochastic optimization that captures uncertainty in renewable generation and stochastic ... More

Dynamic Pricing and Distributed Energy Management for Demand ResponseJan 11 2016Feb 29 2016The problem of dynamic pricing of electricity in a retail market is considered. A Stackelberg game is used to model interactions between a retailer and its customers; the retailer sets the day-ahead hourly price of electricity and consumers adjust real-time ... More

On the Efficiency of Connection Charges---Part I: A Stochastic FrameworkFeb 06 2017This two-part paper addresses the design of retail electricity tariffs for distribution systems with distributed energy resources such as solar power and storage. In particular, the optimal design of dynamic two-part tariffs for a regulated monopolistic ... More

On Robust Tie-line Scheduling in Multi-Area Power SystemsApr 24 2017Oct 06 2017The tie-line scheduling problem in a multi-area power system seeks to optimize tie-line power flows across areas that are independently operated by different system operators (SOs). In this paper, we leverage the theory of multi-parametric linear programming ... More

Generalized Coordinated Transaction Scheduling: A Market Approach to Seamless InterfacesFeb 06 2017Dec 27 2017A generalization of the coordinated transaction scheduling (CTS)---the state-of-the-art interchange scheduling---is proposed. Referred to as generalized coordinated transaction scheduling (GCTS), the proposed approach addresses major seams issues of CTS: ... More

Deadline Scheduling as Restless BanditsOct 03 2016Jul 06 2017The problem of stochastic deadline scheduling is considered. A constrained Markov decision process model is introduced in which jobs arrive randomly at a service center with stochastic job sizes, rewards, and completion deadlines. The service provider ... More

Market Dynamics and Indirect Network Effects in Electric Vehicle DiffusionFeb 12 2015Jul 06 2015The diffusion of electric vehicles (EVs) is studied in a two-sided market framework consisting of EVs on the one side and EV charging stations (EVCSs) on the other. A sequential game is introduced as a model for the interactions between an EVCS investor ... More

Algorithmic Bidding for Virtual Trading in Electricity MarketsFeb 08 2018We consider the problem of optimal bidding for virtual trading in two-settlement electricity markets. A virtual trader aims to arbitrage on the differences between day-ahead and real-time market prices; both prices, however, are random and unknown to ... More

Probabilistic Forecast of Real-Time LMP and Network CongestionMar 20 2015Jun 25 2016The short-term forecasting of real-time locational marginal price (LMP) and network congestion is considered from a system operator perspective. A new probabilistic forecasting technique is proposed based on a multiparametric programming formulation that ... More

Online Learning of Optimal Bidding Strategy in Repeated Multi-Commodity AuctionsMar 07 2017Nov 17 2017We study the online learning problem of a bidder who participates in repeated auctions. With the goal of maximizing his T-period payoff, the bidder determines the optimal allocation of his budget among his bids for $K$ goods at each period. As a bidding ... More

An online learning approach to dynamic pricing for demand responseApr 04 2014In this paper, the problem of optimal dynamic pricing for retail electricity with an unknown demand model is considered. Under the day-ahead dynamic pricing (a.k.a. real time pricing) mechanism, a retailer obtains electricity in a twosettlement wholesale ... More

Stochastic Interchange Scheduling in the Real-Time Electricity MarketJan 10 2016The problem of multi-area interchange scheduling in the presence of stochastic generation and load is considered. A new interchange scheduling technique based on a two-stage stochastic minimization of overall expected operating cost is proposed. Because ... More

Online Learning and Optimization of Markov Jump Affine ModelsMay 07 2016The problem of online learning and optimization of unknown Markov jump affine models is considered. An online learning policy, referred to as Markovian simultaneous perturbations stochastic approximation (MSPSA), is proposed for two different optimization ... More

Subspace Methods for Data Attack on State Estimation: A Data Driven ApproachJun 03 2014Data attacks on state estimation modify part of system measurements such that the tempered measurements cause incorrect system state estimates. Attack techniques proposed in the literature often require detailed knowledge of system parameters. Such information ... More

Large-scale Charging of Electric Vehicles: A Multi-Armed Bandit ApproachMay 24 2016The successful launch of electric vehicles (EVs) depends critically on the availability of convenient and economic charging facilities. The problem of scheduling of large-scale charging of EVs by a service provider is considered. A Markov decision process ... More

Algorithmic Bidding for Virtual Trading in Electricity MarketsFeb 08 2018Jul 31 2018We consider the problem of optimal bidding for virtual trading in two-settlement electricity markets. A virtual trader aims to arbitrage on the differences between day-ahead and real-time market prices; both prices, however, are random and unknown to ... More

Probabilistic Forecasting and Simulation of Electricity Markets via Online Dictionary LearningJun 25 2016The problem of probabilistic forecasting and online simulation of real-time electricity market with stochastic generation and demand is considered. By exploiting the parametric structure of the direct current optimal power flow, a new technique based ... More

Dynamic Scheduling for Charging Electric Vehicles: A Priority RuleFeb 01 2016We consider the scheduling of multiple tasks with pre-determined deadlines under random processing cost. This problem is motivated by the potential of large scale adoption of plug-in (hybrid) electric vehicles (PHEVs) in the near future. The charging ... More

On the Dynamics of Distributed Energy Adoption: Equilibrium, Stability, and Limiting CapacityMar 20 2018Oct 16 2018The death spiral hypothesis in electric utility represents a positive feedback phenomenon in which a regulated utility is driven to financial instability by rising prices and declining demand. We establish conditions for the existence of death spiral ... More

Coordinated Multi-area Economic Dispatch via Critical Region ProjectionJun 13 2016A coordinated economic dispatch method for multi-area power systems is proposed. Choosing boundary phase angles as coupling variables, the proposed method exploits the structure of critical regions in local problems defined by active and inactive constraints. ... More

PMU based Detection of Imbalance in Three-Phase Power SystemsSep 19 2014The problem of imbalance detection in a three-phase power system using a phasor measurement unit (PMU) is considered. A general model for the zero, positive, and negative sequences from a PMU measurement at off-nominal frequencies is presented and a hypothesis ... More

On the Efficiency of Connection Charges---Part II: Integration of Distributed Energy ResourcesFeb 06 2017This two-part paper addresses the design of retail electricity tariffs for distribution systems with distributed energy resources (DERs). Part I presents a framework to optimize an ex-ante two-part tariff for a regulated monopolistic retailer who faces ... More

Energy Scaling Laws for Distributed Inference in Random Fusion NetworksSep 03 2008Jun 08 2010The energy scaling laws of multihop data fusion networks for distributed inference are considered. The fusion network consists of randomly located sensors distributed i.i.d. according to a general spatial distribution in an expanding region. Among the ... More

Bayesian State Estimation for Unobservable Distribution Systems via Deep LearningNov 07 2018Dec 17 2018The problem of state estimation for unobservable distribution systems is considered. A Bayesian approach is proposed that combines Bayesian inference with deep neural networks to achieve the minimum mean squared error estimation of network states for ... More

Distributed Learning and Multiaccess of On-Off ChannelsNov 09 2012Feb 25 2013The problem of distributed access of a set of N on-off channels by K<N users is considered. The channels are slotted and modeled as independent but not necessarily identical alternating renewal processes. Each user decides to either observe or transmit ... More

Capacity of Cooperative Fusion in the Presence of Byzantine SensorsJul 14 2006The problem of cooperative fusion in the presence of Byzantine sensors is considered. An information theoretic formulation is used to characterize the Shannon capacity of sensor fusion. It is shown that when less than half of the sensors are Byzantine, ... More

Distributed Source Coding in the Presence of Byzantine SensorsOct 25 2007The distributed source coding problem is considered when the sensors, or encoders, are under Byzantine attack; that is, an unknown group of sensors have been reprogrammed by a malicious intruder to undermine the reconstruction at the fusion center. Three ... More

Variable-Rate Distributed Source Coding in the Presence of Byzantine SensorsMay 07 2007The distributed source coding problem is considered when the sensors, or encoders, are under Byzantine attack; that is, an unknown number of sensors have been reprogrammed by a malicious intruder to undermine the reconstruction at the fusion center. Three ... More

Deadline Scheduling as Restless BanditsOct 03 2016The problem of stochastic deadline scheduling is considered. A constrained Markov decision process model is introduced in which jobs arrive randomly at a service center with stochastic job sizes, rewards, and completion deadlines.The service provider ... More

Delay Optimal Multichannel Opportunistic AccessJul 31 2011The problem of minimizing queueing delay of opportunistic access of multiple continuous time Markov channels is considered. A new access policy based on myopic sensing and adaptive transmission (MS-AT) is proposed. Under the framework of risk sensitive ... More

Maximum Likelihood Fusion of Stochastic MapsMar 25 2013The fusion of independently obtained stochastic maps by collaborating mobile agents is considered. The proposed approach includes two parts: matching of stochastic maps and maximum likelihood alignment. In particular, an affine invariant hypergraph is ... More

Detection of Gauss-Markov Random Fields with Nearest-Neighbor DependencyJun 11 2007Jun 08 2010The problem of hypothesis testing against independence for a Gauss-Markov random field (GMRF) is analyzed. Assuming an acyclic dependency graph, an expression for the log-likelihood ratio of detection is derived. Assuming random placement of nodes over ... More

Sensor Configuration and Activation for Field Detection in Large Sensor ArraysFeb 19 2005The problems of sensor configuration and activation for the detection of correlated random fields using large sensor arrays are considered. Using results that characterize the large-array performance of sensor networks in this application, the detection ... More

Polytope Codes Against Adversaries in NetworksDec 14 2011Network coding is studied when an adversary controls a subset of nodes in the network of limited quantity but unknown location. This problem is shown to be more difficult than when the adversary controls a given number of edges in the network, in that ... More

Anonymous Networking amidst EavesdroppersOct 25 2007The problem of security against timing based traffic analysis in wireless networks is considered in this work. An analytical measure of anonymity in eavesdropped networks is proposed using the information theoretic concept of equivocation. For a physical ... More

Optimal and Suboptimal Detection of Gaussian Signals in Noise: Asymptotic Relative EfficiencyJul 06 2005The performance of Bayesian detection of Gaussian signals using noisy observations is investigated via the error exponent for the average error probability. Under unknown signal correlation structure or limited processing capability it is reasonable to ... More

A Large Deviations Approach to Sensor Scheduling for Detection of Correlated Random FieldsJan 21 2005The problem of scheduling sensor transmissions for the detection of correlated random fields using spatially deployed sensors is considered. Using the large deviations principle, a closed-form expression for the error exponent of the miss probability ... More

Cognitive Coexistence between Infrastructure and Ad-hoc SystemsDec 07 2008The rapid proliferation of wireless systems makes interference management more and more important. This paper presents a novel cognitive coexistence framework, which enables an infrastructure system to reduce interference to ad-hoc or peer-to-peer communication ... More

Neyman-Pearson Detection of Gauss-Markov Signals in Noise: Closed-Form Error Exponent and PropertiesJun 08 2005Jan 04 2006The performance of Neyman-Pearson detection of correlated stochastic signals using noisy observations is investigated via the error exponent for the miss probability with a fixed level. Using the state-space structure of the signal and observation model, ... More

Optimal Deadline Scheduling with CommitmentOct 06 2011We consider an online preemptive scheduling problem where jobs with deadlines arrive sporadically. A commitment requirement is imposed such that the scheduler has to either accept or decline a job immediately upon arrival. The scheduler's decision to ... More

Data Framing Attack on State EstimationOct 28 2013Apr 21 2014A new mechanism aimed at misleading a power system control center about the source of a data attack is proposed. As a man-in-the-middle state attack, a data framing attack is proposed to exploit the bad data detection and identification mechanisms currently ... More

The field Q(2cos(pi/n)), its Galois group and length ratios in the regular n-gonOct 03 2012The normal field extension Q(rho(n)), with the algebraic number rho(n) = 2 cos(pi/n) for natural n, is related to ratios of the lengths between diagonals and the side of a regular n-gon. This has been considered in a paper by P. Steinbach. These ratios ... More

Reduce and Solve Boltzmann Equation on a Global Lie GroupDec 13 2010Aug 11 2011This paper has been withdrawn by the author due to a crucial sign error in equation 2.23 and a wrong author added.

Simplification of Boltzmann Equation on S^{3}(1)Mar 28 2011Aug 11 2011Simple form of Boltzmann equation will be proposed after introducing a three-dimensional closed Lie group to simplify its collision term.

A Multiscale Analysis of Traveling Waves in Stochastic Neural FieldsAug 04 2015We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the wave. We formulate ... More

A Note on the Importance of Weak Convergence Rates for SPDE Approximations in Multilevel Monte Carlo SchemesAug 31 2015Sep 27 2016It is a well-known rule of thumb that approximations of stochastic partial differential equations have essentially twice the order of weak convergence compared to the corresponding order of strong convergence. This is already known for many approximations ... More

A Subspace Technique for The Identification of Switched Affine ModelsSep 13 2013The problem of estimating parameters of switched affine systems with noisy input-output observations is considered. The switched affine models is transformed into a switched linear one by removing its intersection subspace, which is estimated from observations. ... More

Spectral Clustering on Subspace for Parameter Estimation of Jump Linear ModelsJul 01 2013The problem of estimating parameters of a deterministic jump or piecewise linear model is considered. A subspace technique referred to as spectral clustering on subspace (SCS) algorithm is proposed to estimate a set of linear model parameters, the model ... More

A note on total and list edge-colouring of graphs of tree-width 3Apr 20 2015Jul 29 2015It is shown that Halin graphs are $\Delta$-edge-choosable and that graphs of tree-width 3 are $(\Delta+1)$-edge-choosable and $(\Delta +2)$-total-colourable.

On the list chromatic index of graphs of tree-width 3 and maximum degree at least 7Apr 08 2015Among other results, it is shown that 3-trees are $\Delta$-edge-choosable and that graphs of tree-width 3 and maximum degree at least 7 are $\Delta$-edge-choosable.

unWISE: unblurred coadds of the WISE imagingMay 01 2014The Wide-Field Infrared Survey Explorer (WISE; Wright et al. 2010) satellite observed the full sky in four mid-infrared bands in the 2.8 to 28 micron range. The primary mission was completed in 2010. The WISE team have done a superb job of producing a ... More

Slope inequality for families of curves over surfacesDec 12 2015Jun 05 2016In this paper, we investigate the general notion of the slope for families of curves $f: X \to Y$. The main result is an answer to the above question when $\dim Y = 2$, and we prove a lower bound for this new slope in this case over fields of any characteristic. ... More

Minimal Inputs/Outputs for a Networked SystemOct 01 2016Mar 18 2017This paper investigates the minimal number of inputs/outputs required to guarantees the controllability/observability of a system, under the condition that its state transition matrix (STM) is prescribed. It has been proved that this minimal number is ... More

A note on the puzzling spindown behavior of the Galactic center magnetar SGR J1745-2900Mar 31 2014Jan 30 2015SGR J1745$-$2900 is a magnetar near the Galactic center. X-ray observations of this source found a decreasing X-ray luminosity accompanied by an enhanced spindown rate. This negative correlation between X-ray luminosity and spindown rate is hard to understand. ... More

Understanding recent observations of isolated magnetars and accreting magnetars from the magnetospheric point of viewMay 27 2017The wind braking model and its applications of magnetars are discussed. The decreasing torque of magnetars during outbursts, anti-glitch, and anti-correlations between radiation and timing are understandable in the wind braking model. Recent timing observations ... More

Line Operators in the Standard ModelMay 04 2017Jun 12 2017There is an ambiguity in the gauge group of the Standard Model. The group is $G = SU(3) \times SU(2) \times U(1)/\Gamma$, where $\Gamma$ is a subgroup of ${\bf Z}_6$ which cannot be determined by current experiments. We describe how the electric, magnetic ... More

Simplified dark matter models in the light of AMS-02 antiproton dataDec 30 2016In this work we perform an analysis of the recent AMS-02 antiproton flux and the antiproton-to-proton ratio in the framework of simplified dark matter models. To predict the AMS-02 observables we adopt the propagation and injection parameters determined ... More

Type II Seesaw and tau lepton at the HL-LHC, HE-LHC and FCC-hhFeb 03 2018The tau lepton plays important role in distinguishing neutrino mass patterns and determining the chirality nature in heavy scalar mediated neutrino mass models, in the light of the neutrino oscillation experiments and its polarization measurement. We ... More

On the possible wind nebula of magnetar Swift J1834.9-0846: a magnetism-powered synchrotron nebulaMay 02 2016May 18 2016Recently, the magnetar Swift J1834.9$-$0846 is reported to have a possible wind nebula. It is shown that both the magnetar and its wind nebula are understandable in the wind braking scenario. The magnetar's rotational energy loss rate is not enough to ... More

Notes on Some Geometric and Algebraic Problems Solved by OrigamiSep 14 2014Details for known solutions of some geometric and algebraic problems with the help of origami are presented: two theorems of Haga, the general cubic equation, especially the heptagon equation, doubling the cube as well as the trisection of angles $\alpha$, ... More

Separation of variables for local symmetrical flowsAug 11 2011Jan 09 2016Separation of variables is effective method for solving ordinary and partial differential equations. We examine some topological manifolds in flows and get a conclusion that it can be applied in separating variables of differential equations. Then we ... More

Amoebas of curves and the Lyashko-Looijenga mapJan 06 2017For any curve $\mathcal{V}$ in a toric surface $X$, we study the critical locus $S(\mathcal{V})$ of the moment map $\mu$ from $\mathcal{V}$ to its compactified amoeba $\mu(\mathcal{V})$. We show that for curves $\mathcal{V}$ in a fixed complete linear ... More

On Collatz' Words, Sequences and TreesApr 10 2014Motivated by a recent work of Tr\"umper we consider the general Collatz word (up-down pattern) and the sequences following this pattern. The recurrences for the first and last sequence entries are given, obtained from repeated application of the general ... More

Harmonic Tropical CurvesJan 28 2015Oct 14 2015Harmonic amoebas are generalizations of amoebas of algebraic curves embedded in complex tori. Introduced in \cite{Kri}, the consideration of such objects suggests to enlarge the scope of classical tropical geometry of curves. In the present paper, we ... More

The Embedding Capacity of Information Flows Under Renewal TrafficMar 12 2011Mar 15 2011Given two independent point processes and a certain rule for matching points between them, what is the fraction of matched points over infinitely long streams? In many application contexts, e.g., secure networking, a meaningful matching rule is that of ... More

Impact of Data Quality on Real-Time Locational Marginal PriceDec 29 2012Aug 30 2013The problem of characterizing impacts of data quality on real-time locational marginal price (LMP) is considered. Because the real-time LMP is computed from the estimated network topology and system state, bad data that cause errors in topology processing ... More

Lectures on the Quantum Hall EffectJun 21 2016Sep 20 2016The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, ... More

Eventual Wait-Free SynchronizationDec 27 2015Eventually linearizable objects are novel shared memory programming constructs introduced as an analogy to eventual consistency in message-passing systems. However, their behaviors in shared memory systems are so mysterious that very little general theoretical ... More

On the Controllability and Observability of Networked Dynamic SystemsJan 17 2014Some necessary and sufficient conditions are obtained for the controllability and observability of a networked system with linear time invariant (LTI) dynamics. The topology of this system is fixed but arbitrary, and every subsystem is permitted to have ... More

Topology and Subsystem Parameter Based Verification for the Controllability/Observability of a Networked Dynamic SystemFeb 12 2019This paper extends our results on the controllability/observability of networked systems to a system in which the system matrices of each subsystem are described by a linear fractional transformation (LFT). A connection has been established between the ... More

Structural Aspects of Deformation Defects in Bulk Metallic GlassesSep 16 2018Mechanical behaviors of bulk metallic glasses (BMGs) including heterogeneous and homogeneous deformation are interpreted by phenomenological shear transformation zones (STZs) model. Currently, information about STZs, i.e. size and density, is only extracted ... More

The Kähler-Ricci flow on manifolds with negative holomorphic curvatureMay 09 2018We study the behaviour of the normalized K\"ahler-Ricci flow on complete K\"ahler manifolds of negative holomorphic sectional curvature. We show that the flow exists for all time and converges to a K\"ahler-Einstein metric of negative scalar curvature, ... More

Generalizing the divisibility property of rectangle domino tilingsJun 03 2014Jul 26 2016We introduce a class of graphs called compound graphs, generalizing rectangles, which are constructed out of copies of a planar bipartite base graph. The main result is that the number of perfect matchings of every compound graph is divisible by the number ... More

Multicategory vertex discriminant analysis for high-dimensional dataJan 05 2011In response to the challenges of data mining, discriminant analysis continues to evolve as a vital branch of statistics. Our recently introduced method of vertex discriminant analysis (VDA) is ideally suited to handle multiple categories and an excess ... More

Coordinate descent algorithms for lasso penalized regressionMar 27 2008Imposition of a lasso penalty shrinks parameter estimates toward zero and performs continuous model selection. Lasso penalized regression is capable of handling linear regression problems where the number of predictors far exceeds the number of cases. ... More

Hybrid Decision Making: When Interpretable Models Collaborate With Black-Box ModelsFeb 12 2018Interpretable machine learning models have received increasing interest in recent years, especially in domains where humans are involved in the decision-making process. However, the possible loss of the task performance for gaining interpretability is ... More

Multi-Value Rule SetsOct 15 2017We present the Multi-vAlue Rule Set (MARS) model for interpretable classification with feature efficient presentations. MARS introduces a more generalized form of association rules that allows multiple values in a condition. Rules of this form are more ... More

On the Equivalence among Three Controllability Problems for a Networked SystemOct 11 2016A new proof is given for the mathematical equivalence among three $k$-sparse controllability problems of a networked system, which plays key roles in Olshevsky,2014, in the establishment of the NP-hardness of the associated minimal controllability problems ... More

Minimal Inputs/Outputs for Subsystems in a Networked SystemOct 07 2016Apr 13 2018Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as some necessary ... More

An accreting low magnetic field magnetar for the ultraluminous X-ray source in M82Nov 12 2014Feb 10 2015One ultraluminous X-ray source in M82 is identified as an accreting neutron star recently (named as NuSTAR J095551+6940.8). It has a super-Eddington luminosity and is spinning up. For an aged magnetar, it is more likely to be a low magnetic field magnetar. ... More

Adaptive Influence Maximization under General Feedback ModelsFeb 01 2019Feb 15 2019This note provides some analysis for the adaptive influence maximization problem under general Feedback Models with or without a time constraint.

Simple Models for All Topological PhasesFeb 16 2016Feb 27 2016We construct simple models for all topological phases of free fermions. These explicit models can realize all the nontrivial topological phases (with any possible topological invariant) of the periodic table. Many well known models for topological insulators ... More

Two predictions for the spin down behavior of magnetar SGR J1745-2900Mar 31 2015The basic concepts of wind braking of magnetars, and its applications to various timing events of magnetars are outlined. The case of the Galactic centre magnetar SGR J1745-2900 is especially discussed. Two predictions for SGR J1745-2900 are made (the ... More

The Holographic Dual of AdS3 x S3 x S3 x S1Feb 20 2014Jan 20 2016We construct the two dimensional N=(0,4) gauge theory that lives on the world volume of D1-branes and intersecting D5-branes. We conjecture that this theory flows in the infra-red to a fixed point with large N=(4,4) superconformal symmetry. The central ... More

NS5-Branes, T-Duality and Worldsheet InstantonsApr 23 2002Jun 30 2003The equivalence of NS5-branes and ALF spaces under T-duality is well known. However, a naive application of T-duality transforms the ALF space into a smeared NS5-brane, de-localized on the dual, transverse, circle. In this paper we re-examine this duality, ... More

Monopoles in the Higgs PhaseJul 31 2003Aug 14 2003We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically stable and, ... More

Etude locale des torseurs sous une courbe elliptiqueMay 04 2010This article concerns the geometry of torsors under an elliptic curve. Let $\OO_K$ be a complete discrete valuation ring with algebraically closed residue field and function field $K$. Let $\pi$ be a generator of the maximal ideal of $\OO_K$, and $S=\mathrm{Spec}(\OO_K)$. ... More

Relative Clifford inequality for varieties fibered by curvesJun 20 2017Mar 07 2018We prove a sharp relative Clifford inequality for relatively special divisors on varieties fibered by curves. It generalizes the classical Clifford inequality about a single curve to a family of curves. It yields a geographical inequality for varieties ... More

Asymptotic Behavior of the Pseudo-Covariance Matrix of a Robust State Estimator with Intermittent MeasurementsJan 16 2014Ergodic properties and asymptotic stationarity are investigated in this paper for the pseudo-covariance matrix (PCM) of a recursive state estimator which is robust against parametric uncertainties and is based on plant output measurements that may be ... More

Quantum Dualities and Quantum Anomalous Hall Phases with Arbitrary Large Chern NumbersMar 28 2016Quantum duality is a far reaching concept in contemporary theoretical physics. In the present paper, we reveal the quantum dualities in quantum anomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Our models can realize QAH phases ... More

Models for $d$ Wave Topological Superconductors and Quantum Anomalous Hall Effect with Arbitrary Large Chern NumbersJan 14 2016Mar 23 2016We construct theoretical models for two dimensional(2d) chiral $d_{x^2-y^2}\pm id_{xy}$ topological superconductors and for three dimensional(3d) $d$ wave topological superconductors. Moreover we build models for any 2d class C and 3d class CI topological ... More

Ultraluminous X-ray pulsar: accreting magnetar?Aug 13 2015Magnetars are a special kind of neutron stars. There may also be accreting magnetars. From the studies of isolated magnetars, it is known that a neutron star with a strong dipole field only is not a magnetar. Super-slow X-ray pulsars may just be accreting ... More

Revisiting simplified dark matter models in terms of AMS-02 and Fermi-LATAug 12 2017We perform an analysis of the simplified dark matter models in the light of cosmic ray observables by AMS-02 and Fermi-LAT. We assume fermion, scalar or vector dark matter particle with a leptophobic spin-0 mediator that couples only to Standard Model ... More

Perfect Memory Context Trees in time series modelingOct 17 2016The Stochastic Context Tree (SCOT) is a useful tool for studying infinite random sequences generated by an m-Markov Chain (m-MC). It captures the phenomenon that the probability distribution of the next state sometimes depends on less than m of the preceding ... More

A note on lattices in semi-stable representationsSep 28 2007Let p>2 be a prime, K a finite extension over Q_p and G :=Gal(\bar K/K). We extend Kisin's theory on \phi-modules of finite E(u)-height to give a new classification of G-stable Z_p-lattices in semi-stable representations

Potentially Good Reduction of Barsotti-Tate GroupsApr 27 2006Let R be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field, K the fraction field of R. Suppose G is a Barsotti-Tate group (p-divisible group) defined over K which acquires good reduction over a finite extension ... More

Anti-glitch of magnetar 1E 2259+586 in the wind braking scenarioJun 11 2013Jan 20 2014The anti-glitch of magnetar 1E 2259+586 is analyzed theoretically. An enhanced particle wind during the observational interval will taken away additional rotational energy of the neutron star. This will result in a net spin-down of the magnetar, i.e., ... More

Revisiting the direct detection of dark matter in simplified modelsApr 06 2018Jun 23 2018In this work we numerically re-examine the loop-induced WIMP-nucleon scattering cross section for the simplified dark matter models and the constraint set by the latest direct detection experiment. We consider a fermion, scalar or vector dark matter component ... More