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Quantitative analysis of the interaction between a dc SQUID and an integrated micromechanical doubly clamped cantileverFeb 08 2019Based on the superconducting quantum interference device (SQUID) equations described by the resistively- and capacitively-shunted junction model coupled to the equation of motion of a damped harmonic oscillator, we provide simulations to quantitatively ... More

Mechanism Design via Dantzig-Wolfe DecompositionAug 18 2015Aug 15 2016In random allocation rules, typically first an optimal fractional point is calculated via solving a linear program. The calculated point represents a fractional assignment of objects or more generally packages of objects to agents. In order to implement ... More

Approximating Steady States in Equilibrium and Nonequilibrium CondensatesJun 27 2012We obtain approximations for the time-independent Gross-Pitaevskii (GP) and complex GP equation in two and three spatial dimensions by generalizing the divergence-free WKB method. The results include an explicit expression of a uniformly valid approximation ... More

Multiplicative Noise: Applications in Cosmology and Field TheoryAug 21 1993Physical situations involving multiplicative noise arise generically in cosmology and field theory. In this paper, the focus is first on exact nonlinear Langevin equations, appropriate in a cosmologica setting, for a system with one degree of freedom. ... More

Tate twists of Hodge structures arising from abelian varieties of type IVMar 21 2012We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple ... More

Classification of the phases of 1D spin chains with commuting HamiltoniansMay 05 2011Dec 10 2011We consider the class of spin Hamiltonians on a 1D chain with periodic boundary conditions that are (i) translational invariant, (ii) commuting and (iii) scale invariant, where by the latter we mean that the ground state degeneracy is independent of the ... More

Sandwiched Rényi Divergence Satisfies Data Processing InequalityJun 25 2013Nov 22 2013Sandwiched (quantum) $\alpha$-R\'enyi divergence has been recently defined in the independent works of Wilde et al. (arXiv:1306.1586) and M\"uller-Lennert et al (arXiv:1306.3142v1). This new quantum divergence has already found applications in quantum ... More

Generation and sudden death of entanglement in qubit-qutrit systems in depolarizing noiseDec 05 2010Nov 25 2013The dynamics of entanglement in some hybrid qubit-qutrit systems under the influence of global, collective, local and multilocal depolarizing noise is studied. It is shown that the depolarizing noise can be used to induce entanglement. A critical point ... More

The Economic and Sustainability Future of Cellular NetworksAug 04 2013Global data traffic is expected to grow exponentially in the next few years with video and smartphone applications driving data growth. Many mobile network providers in the UK have either deployed or planning to deploy 4th generation Long-Term-Evolution ... More

Recovering Finite Parametric Distributions and Functions Using the Spherical Mean TransformOct 29 2016The aim of the article is to recover a certain type of finite parametric distributions and functions using their spherical mean transform which is given on a certain family of spheres whose centers belong to a finite set $\Gamma$. For this, we show how ... More

Algorithms for Dynamic Reeb GraphsFeb 12 2014Jul 17 2015We present an algorithm for updating the Reeb graph under fully dynamic changes of the function values. The basic event is the interchange of two consecutive vertex values. The algorithm updates the Reeb graph in $O(l g{n})$ worst-case deterministic time ... More

Entanglement-assisted zero-error capacity is upper bounded by the Lovasz theta functionFeb 12 2010Jun 21 2011The zero-error capacity of a classical channel is expressed in terms of the independence number of some graph and its tensor powers. This quantity is hard to compute even for small graphs such as the cycle of length seven, so upper bounds such as the ... More

A New Quantum Data Processing InequalityOct 05 2012Feb 27 2014Quantum data processing inequality bounds the set of bipartite states that can be generated by two far apart parties under local operations; Having access to a bipartite state as a resource, two parties cannot locally transform it to another bipartite ... More

On links of vertices in simplicial $d$-complexes embeddable in the euclidean $2d$-spaceDec 16 2015Jun 23 2016We consider $d$-dimensional simplicial complexes which can be PL embedded in the $2d$-dimensional euclidean space. In short, we show that in any such complex, for any three vertices, the intersection of the link-complexes of the vertices is linklessly ... More

Phi^4 Kinks: Statistical MechanicsNov 16 1994Some recent investigations of the thermal equilibrium properties of kinks in a $1+1$-dimensional, classical $\Phi^4$ field theory are reviewed. The distribution function, kink density, correlation function, and certain thermodynamic quantities were studied ... More

Stochastic Inflation:The Quantum Phase Space ApproachAug 13 1992In this paper a quantum mechanical phase space picture is constructed for coarse-grained free quantum fields in an inflationary Universe. The appropriate stochastic quantum Liouville equation is derived. Explicit solutions for the phase space quantum ... More

Quantum DiffusionOct 25 1994We consider a simple quantum system subjected to a classical random force. Under certain conditions it is shown that the noise-averaged Wigner function of the system follows an integro-differential stochastic Liouville equation. In the simple case of ... More

A Note on Relaxation and Rounding in Algorithmic Mechanism DesignAug 16 2016In this note, we revisit the \emph{relaxation and rounding} technique employed several times in algorithmic mechanism design. We try to introduce a general framework which covers the most significant algorithms in mechanism design that use the relaxation ... More

Hodge structures associated to SU(p,1)Mar 19 2012Jul 19 2015Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge ... More

On the Optimality of Time Division for Broadcast ChannelsMay 28 2016We provide a necessary and sufficient condition that under some technical assumption characterizes all two-receiver broadcast channels for which time division is optimal for transmission of private messages.

NP vs QMA_log(2)Oct 28 2008Oct 02 2009Although it is believed unlikely that $\NP$-hard problems admit efficient quantum algorithms, it has been shown that a quantum verifier can solve $\NP$-complete problems given a "short" quantum proof; more precisely, $\NP\subseteq \QMA_{\log}(2)$ where ... More

Entanglement of Tripartite States with Decoherence in Noninertial framesFeb 13 2013The one-tangle and {\pi}-tangle are used to quantify the entanglement of a tripartite GHZ state in noninertial frames when the system interacts with a noisy environment in the form of phase damping, phase flip and bit flip channel. It is shown that the ... More

Tripartite entanglement of fermionic system in accelerated framesDec 08 2016The dynamics of tripartite entanglement of fermionic system in noninertial frames through linear contraction criterion when one or two observers are accelerated is investigated. In one observer accelerated case the entanglement measurement is not invariant ... More

Maximal Entanglement - A New Measure of EntanglementMay 11 2014Maximal correlation is a measure of correlation for bipartite distributions. This measure has two intriguing features: (1) it is monotone under local stochastic maps; (2) it gives the same number when computed on i.i.d. copies of a pair of random variables. ... More

Hodge structures of CM-typeJan 03 2006We show that any effective Hodge structure of CM-type occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture ... More

The structure of graphs with forbidden $C_4$, $\overline{C}_4$, $C_5$, chair and co-chairJul 03 2016We find the structure of graphs that have no $C_4$, $\overline{C}_4$, $C_5$, chair and co-chair as induced subgraphs.

New Proofs of Königs TheoremMay 07 2015Jul 17 2015We introduce four new elementary short proofs of the famous K\"onig's theorem which characterizes bipartite graphs by absence of odd cycles.

Breathers on Quantized Superfluid VorticesJul 29 2013We consider the propagation of breathers along a quantised superfluid vortex. Using the correspondence between the local induction approximation (LIA) and the nonlinear Schr\"odinger equation, we identify a set of initial conditions corresponding to breather ... More

Gaussian Dynamics is Classical DynamicsJun 01 2004A direct comparison of quantum and classical dynamical systems can be accomplished through the use of distribution functions. This is useful for both fundamental investigations such as the nature of the quantum-classical transition as well as for applications ... More

Hodge structures on abelian varieties of type IIIOct 01 2004We show that the usual Hodge conjecture implies the general Hodge conjecture for certain abelian varieties of type III, and use this to deduce the general Hodge conjecture for all powers of certain 4-dimensional abelian varieties of type III. We also ... More

Small Model $2$-Complexes in $4$-space and ApplicationsDec 16 2015Apr 08 2016We consider computational complexity of problems related to the fundamental group and the first homology group of (embeddable) $2$-complexes. We show, as an extension of an earlier work, that computing first homology of $2$-complexes is equivalent in ... More

A Lower Bound on the Value of Entangled Binary GamesSep 30 2009Jun 21 2011A two-player one-round binary game consists of two cooperative players who each replies by one bit to a message that he receives privately; they win the game if both questions and answers satisfy some predetermined property. A game is called entangled ... More

Stability of Polarized States for Diamond ValleytronicsMar 31 2014The stability of valley polarized electron states is crucial for the development of valleytronics. A long relaxation time of the valley polarization is required to enable operations to be performed on the polarized states. Here we investigate the stability ... More

An Efficient Algorithm to Recognize Locally Equivalent Graphs in Non-Binary CaseFeb 09 2007Jul 01 2007Let $v$ be a vertex of a graph $G$. By the local complementation of $G$ at $v$ we mean to complement the subgraph induced by the neighbors of $v$. This operator can be generalized as follows. Assume that, each edge of $G$ has a label in the finite field ... More

Graph States Under the Action of Local Clifford Group in Non-Binary CaseOct 31 2006Jun 29 2007Graph states are well-entangled quantum states that are defined based on a graph. Of course, if two graphs are isomorphic their associated states are the same. Also, we know local operations do not change the entanglement of quantum states. Therefore, ... More

On the Duality of Additivity and TensorizationFeb 03 2015Nov 04 2016A function is said to be additive if, similar to mutual information, expands by a factor of $n$, when evaluated on $n$ i.i.d. repetitions of a source or channel. On the other hand, a function is said to satisfy the tensorization property if it remains ... More

Quantum Achievability Proof via Collision Relative EntropyDec 13 2013Jan 09 2014In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy, and is a (partial) ... More

H-alpha Imaging of Early-type(Sa-Sab) Spiral Galaxies IApr 29 1999H-alpha and continuum images are presented for 27 nearby early-type(Sa-Sab) spiral galaxies. Contrary to popular perception, the images reveal copious massive star formation in some of these galaxies. A determination of the H-alpha morphology and a measure ... More

A Second-Order Stochastic Leap-Frog Algorithm for Langevin SimulationAug 20 2000Langevin simulation provides an effective way to study collisional effects in beams by reducing the six-dimensional Fokker-Planck equation to a group of stochastic ordinary differential equations. These resulting equations usually have multiplicative ... More

A Second-Order Stochastic Leap-Frog Algorithm for Multiplicative Noise Brownian MotionDec 30 1999Jan 04 2000A stochastic leap-frog algorithm for the numerical integration of Brownian motion stochastic differential equations with multiplicative noise is proposed and tested. The algorithm has a second-order convergence of moments in a finite time interval and ... More

An Overview of Local Capacity in Wireless NetworksFeb 20 2012Feb 21 2012This article introduces a metric for performance evaluation of medium access schemes in wireless ad hoc networks known as local capacity. Although deriving the end-to-end capacity of wireless ad hoc networks is a difficult problem, the local capacity ... More

Performance Enhancement of Routers in Networks-on-Chip Using Dynamic Virtual Channels AllocationDec 09 2014This study proposes a new router architecture to improve the performance of dynamic allocation of virtual channels. The proposed router is designed to reduce the hardware complexity and to improve power and area consumption, simultaneously. In the new ... More

Simplified instantaneous non-local quantum computation with applications to position-based cryptographyJan 05 2011Sep 20 2011Instantaneous measurements of non-local observables between space-like separated regions can be performed without violating causality. This feat relies on the use of entanglement. Here we propose novel protocols for this task and the related problem of ... More

A Monotone Measure for Non-Local CorrelationsSep 12 2014Nov 07 2014No-signaling boxes are the abstract objects for studying non-locality, and wirings are local operations on the space of no-signaling boxes. This means that, no matter how non-local the nature is, the set of physical non-local correlations must be closed ... More

Dynamics of Kinks: Nucleation, Diffusion and AnnihilationNov 16 1999We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional Phi^4 field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to the square of ... More

Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded normSep 09 2015Nov 06 2015We develop the notions of hypercontractivity (HC) and the log-Sobolev (LS) inequality for completely bounded norms of one-parameter semigroups of super-operators acting on matrix algebras. We prove the equivalence of the completely bounded versions of ... More

On Dimension Bounds for Auxiliary Quantum SystemsJul 17 2012Nov 15 2013Expressions of several capacity regions in quantum information theory involve an optimization over auxiliary quantum registers. Evaluating such expressions requires bounds on the dimension of the Hilbert space of these auxiliary registers, for which no ... More

Information Causality is a Special Point in the Dual of the Gray-Wyner RegionNov 14 2011Apr 03 2013Information Causality contributes to the program of deriving fundamentals of quantum theory from information theoretic principles. It puts restrictions on the amount of information learned by a party (Bob) from the other party (Alice) in a one-way communication ... More

Classical Dynamics for Linear Systems: The Case of Quantum Brownian MotionJul 25 1995It has long been recognized that the dynamics of linear quantum systems is classical in the Wigner representation. Yet many conceptually important linear problems are typically analyzed using such generally applicable techniques as influence functionals ... More

Experimental Data for Goldfeld's Conjecture over Function FieldsJun 15 2011This paper presents empirical evidence supporting Goldfeld's conjecture on the average analytic rank of a family of quadratic twists of a fixed elliptic curve in the function field setting. In particular, we consider representatives of the four classes ... More

Optimizing Local Capacity of Wireless Ad Hoc NetworksNov 09 2011In this work, we evaluate local capacity of wireless ad hoc networks with several medium access protocols and identify the most optimal protocol. We define local capacity as the average information rate received by a receiver randomly located in the network. ... More

Does Inflationary Particle Production suggest Omega_m < 1?Aug 02 1998We study a class of FRW spacetimes with a nonminimally coupled light massive scalar field. Values of the coupling parameter xi<0 enhance long range power in the vacuum expectation value of the energy-momentum tensor and fundamentally alter the nature ... More

The Evidence for Massive Star Formation in Early-Type Spiral GalaxiesDec 19 1996A recent analysis of the IRAS database indicates that the massive star formation rates in early-type (Sa-Sab) spirals are comparable to the massive star formation rates in late-type spirals. $H\alpha$ imaging of some of the infrared luminous early-type ... More

Impossibility of Local State Transformation via HypercontractivityJul 10 2013Jul 24 2013Local state transformation is the problem of transforming an arbitrary number of copies of a bipartite resource state to a bipartite target state under local operations. That is, given two bipartite states, is it possible to transform an arbitrary number ... More

Long-range Ordering of Topological Excitations in a Two-Dimensional Superfluid Far From EquilibriumMay 31 2016We study the relaxation of a 2D ultracold Bose-gas from a nonequilibrium initial state containing vortex excitations in experimentally realizable square and rectangular traps. We show that the subsystem of vortex gas excitations results in the spontaneous ... More

Chaos and NoiseNov 20 2012Simple dynamical systems -- with a small number of degrees of freedom -- can behave in a complex manner due to the presence of chaos. Such systems are most often (idealized) limiting cases of more realistic situations. Isolating a small number of dynamical ... More

Distance Distributions in Regular PolygonsJul 25 2012Jun 25 2013This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon. Using this result, we obtain the closed-form probability density function ... More

Generalized Assignment Problem: Truthful Mechanism Design without MoneyAug 15 2016Aug 23 2016In this paper, we study a problem of truthful mechanism design for a strategic variant of the generalized assignment problem (GAP) in a both payment-free and prior-free environment. In GAP, a set of items has to be optimally assigned to a set of bins ... More

Corwin-Greenleaf multiplicity function for compact extensions of the Heisenberg groupJul 28 2018Let $\mathbb{H}_n$ be the $(2n+1)$-dimensional Heisenberg group and $K$ a closed subgroup of $U(n)$ acting on $\mathbb{H}_n$ by automorphisms such that $(K,\mathbb{H}_n)$ is a Gelfand pair. Let $G=K\ltimes\mathbb{H}_n$ be the semidirect product of $K$ ... More

On the Optimal Transmission Scheme to Maximize Local Capacity in Wireless NetworksNov 09 2011We study the optimal transmission scheme that maximizes the local capacity in two-dimensional (2D) wireless networks. Local capacity is defined as the average information rate received by a node randomly located in the network. Using analysis based on ... More

Enumerating the Classes of Local Equivalency in GraphsFeb 09 2007Jul 04 2007There are local operators on (labeled) graphs $G$ with labels $(g_{ij})$ coming from a finite field. If the filed is binary, in other words, if the graph is ordinary, the operation is just the local complementation. That is, to choose a vertex and complement ... More

Phi-Entropic Measures of CorrelationNov 04 2016A measure of correlation is said to have the tensorization property if it is unchanged when computed for i.i.d.\ copies. More precisely, a measure of correlation between two random variables $(X, Y)$ denoted by $\rho(X, Y)$, has the tensorization property ... More

H-alpha Imaging of Early-type (Sa-Sab) Spiral Galaxies II. Global PropertiesJun 02 2005New results, based on one of the most comprehensive H-alpha imaging surveys of nearby Sa-Sab spirals completed to date, reveals early-type spirals to be a diverse group of galaxies that span a wide range in massive star formation rates. While the majority ... More

Statistical Mechanics of Nonlinear Coherent Structures: Kinks in the Phi^6 ModelFeb 02 1995We study the thermodynamics of kinks in the Phi^6 model using a Langevin code implemented on a massively parallel computer. This code can be used to study first order dynamical phase transitions which exhibit multiple length and time scales. The classical ... More

Truthfulness with Value-Maximizing BiddersJul 13 2016In markets such as digital advertising auctions, bidders want to maximize value rather than payoff. This is different to the utility functions typically assumed in auction theory and leads to different strategies and outcomes. We refer to bidders who ... More

Vortex Nucleation Limited Mobility of Free Electron Bubbles in the Gross-Pitaevskii Model of a SuperfluidAug 21 2017Jan 22 2018We study the motion of an electron bubble in the zero temperature limit where neither phonons nor rotons provide a significant contribution to the drag exerted on an ion moving within the superfluid. By using the Gross-Clark model, in which a Gross-Pitaevskii ... More

Dynamics of weakly mixing non-autonomous systemsOct 04 2018For a commutative non-autonomous dynamical system we show that topological transitivity of the non-autonomous system induced on probability measures (hyperspaces) is equivalent to the weak mixing of the induced systems. Several counter examples are given ... More

Specification properties for non-autonomous discrete systemsAug 23 2018Oct 31 2018In this paper notions of strong specification property and quasi-weak specification property for non-autonomous discrete systems are introduced and studied. It is shown that these properties are dynamical properties and are preserved under finite product. ... More

How Wigner Functions Transform Under Symplectic MapsJun 16 1998It is shown that, while Wigner and Liouville functions transform in an identical way under linear symplectic maps, in general they do not transform identically for nonlinear symplectic maps. Instead there are ``quantum corrections'' whose hbar tending ... More

Symplectic Calculation of Lyapunov ExponentsJun 26 1994The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method ... More

Dynamic Updating for L1 MinimizationMar 09 2009Jun 28 2009The theory of compressive sensing (CS) suggests that under certain conditions, a sparse signal can be recovered from a small number of linear incoherent measurements. An effective class of reconstruction algorithms involve solving a convex optimization ... More

Relativistic Quantum Games in Noninertial FramesFeb 07 2011Aug 20 2011We study the influence of Unruh effect on quantum non-zero sum games. In particular, we investigate the quantum Prisoners' Dilemma both for entangled and unentangled initial states and show that the acceleration of the noninertial frames disturbs the ... More

Open Quantum Systems in Noninertial FramesOct 26 2010We study the effects of decoherence on the entanglement generated by Unruh effect in noninertial frames by using bit flip, phase damping and depolarizing channels. It is shown that decoherence strongly influences the initial state entanglement. The entanglement ... More

Degrees of Freedom of Two-Hop Wireless Networks: "Everyone Gets the Entire Cake"Oct 08 2012May 15 2013We show that fully connected two-hop wireless networks with K sources, K relays and K destinations have K degrees of freedom both in the case of time-varying channel coefficients and in the case of constant channel coefficients (in which case the result ... More

Worst-Case Additive Noise in Wireless NetworksFeb 13 2012Jan 29 2013A classical result in Information Theory states that the Gaussian noise is the worst-case additive noise in point-to-point channels, meaning that, for a fixed noise variance, the Gaussian noise minimizes the capacity of an additive noise channel. In this ... More

An Achievable Rate Region for Two Groupcast Messages over the K-User Broadcast Channel and Capacity Results for the Combination NetworkDec 26 2018Using an order-theoretic framework, a novel achievable rate region is obtained for the general $K$-receiver discrete memoryless broadcast channel over which two groupcast messages are to be transmitted, with each message required by an arbitrary group ... More

Statistical Mechanics of Kinks in (1+1)-DimensionsDec 09 1992We investigate the thermal equilibrium properties of kinks in a classical $\phi^4$ field theory in $1+1$ dimensions. The distribution function, kink density, and correlation function are determined from large scale simulations. A dilute gas description ... More

On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum ChannelsSep 13 2007Oct 13 2008One of the main problems in quantum complexity theory is that our understanding of the theory of QMA-completeness is not as rich as its classical analogue, the NP- completeness. In this paper we consider the clique problem in graphs, which is NP- complete, ... More

Zitterbewegung, internal momentum and spin of the circular travelling wave electromagnetic electronFeb 18 2016The study of this paper demonstrates that electron has Dirac delta like internal momentum (u,p_{{\theta}}), going round in a circle of radius equal to half the reduced Compton wavelength of electron with tangential velocity c. The circular momentum p_{{\theta}} ... More

Sampling Large Data on GraphsNov 11 2014We consider the problem of sampling from data defined on the nodes of a weighted graph, where the edge weights capture the data correlation structure. As shown recently, using spectral graph theory one can define a cut-off frequency for the bandlimited ... More

Two-Unicast Wireless Networks: Characterizing the Degrees-of-FreedomFeb 12 2011Aug 08 2012We consider two-source two-destination (i.e., two-unicast) multi-hop wireless networks that have a layered structure with arbitrary connectivity. We show that, if the channel gains are chosen independently according to continuous distributions, then, ... More

Interference Networks with No CSIT: Impact of TopologyFeb 01 2013Dec 17 2014We consider partially-connected $K$-user interference networks, where the transmitters have no knowledge about the channel gain values, but they are aware of network topology (or connectivity). We introduce several linear algebraic and graph theoretic ... More

Timely Throughput of Heterogeneous Wireless Networks: Fundamental Limits and AlgorithmsJan 25 2012Apr 20 2013The proliferation of different wireless access technologies, together with the growing number of multi-radio wireless devices suggest that the opportunistic utilization of multiple connections at the users can be an effective solution to the phenomenal ... More

Capacity Results for the K-User Broadcast Channel with Two Nested Multicast MessagesDec 26 2018The K-user discrete memoryless (DM) broadcast channel (BC) with two nested multicast messages is studied in which one common message is to be multicast to all receivers and the second private message to a subset of receivers. The receivers that must decode ... More

Multi-Lingual Ontology Server (MOS) for discovering Web servicesJul 19 2015Searching for appropriate web services on the internet is becoming more and more laborious, because it depends on human processing and evaluating of the available web services in UDDI repositories. Furthermore, if the requester language is different form ... More

INTERPOL: Information Theoretically Verifiable Polynomial EvaluationJan 10 2019Jan 21 2019We study the problem of verifiable polynomial evaluation in the user-server and multi-party setups. We propose {INTERPOL}, an information-theoretically verifiable algorithm that allows a user to delegate the evaluation of a polynomial to a server, and ... More

Symplectic Computation of Lyapunov ExponentsNov 01 1994A recently developed method for the calculation of Lyapunov exponents of dynamical systems is described. The method is applicable whenever the linearized dynamics is Hamiltonian. By utilizing the exponential representation of symplectic matrices, this ... More

Student performance prediction using classification data mining techniquesJun 18 2016Students opting engineering as their disciple is increasing rapidly. But due to various factors and inappropriate primary education in India dropout rates are high. Students are unable to excel in core engineering subjects which are complex and mathematical, ... More

Blind MIMOME Wiretap Channel with Delayed CSITMay 02 2014Mar 06 2016We study the Gaussian MIMOME wiretap channel where a transmitter wishes to communicate a confidential message to a legitimate receiver in the presence of eavesdroppers, while the eavesdroppers should not be able to decode the confidential message. Each ... More

A Generalized Cut-Set Bound for Deterministic Multi-Flow Networks and its ApplicationsApr 19 2014We present a new outer bound for the sum capacity of general multi-unicast deterministic networks. Intuitively, this bound can be understood as applying the cut-set bound to concatenated copies of the original network with a special restriction on the ... More

Proximal magnetometry of monolayers of magnetic momentsAug 09 2011We present a method to measure the magnetic properties of monolayers and ultra-thin films of magnetic material. The method is based on low energy muon spin rotation and $\beta$-detected nuclear magnetic resonance measurements. A spin probe is used as ... More

Sparse Recovery of Streaming Signals Using L1-HomotopyJun 14 2013Most of the existing methods for sparse signal recovery assume a static system: the unknown signal is a finite-length vector for which a fixed set of linear measurements and a sparse representation basis are available and an L1-norm minimization program ... More

Quantum Stackelberg duopoly in noninertial frameFeb 07 2011Aug 20 2011We study the influence of Unruh effect on quantum Stackelberg duopoly. We show that the acceleration of noninertial frame strongly effects the payoffs of the firms. The validation of subgame perfect Nash equilibrium is limited to a particular range of ... More

Nondistillability of distillable qutrit-qutrit states under depolarizing noiseNov 10 2010Aug 20 2011We study the effects of decoherence on some particular bipartite qutrit states under the influence of global, collective, local and multilocal depolarizing noise. We show that certain free entangled distillable qutrit density matrices become bound entangled ... More

ITLinQ: A New Approach for Spectrum Sharing in Device-to-Device Communication SystemsNov 21 2013Jun 11 2014We consider the problem of spectrum sharing in device-to-device communication systems. Inspired by the recent optimality condition for treating interference as noise, we define a new concept of "information-theoretic independent sets" (ITIS), which indicates ... More

The Two-User Deterministic Interference Channel with Rate-Limited FeedbackApr 28 2010In this paper we study the effect of rate-limited feedback on the sum-rate capacity of the deterministic interference channel. We characterize the sum-rate capacity of this channel in the symmetric case and show that having feedback links can increase ... More

Confidence-Weighted Bipartite RankingJul 04 2016Sep 28 2016Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive streams of class-imbalanced ... More

Confidence-Weighted Bipartite RankingJul 04 2016Nov 24 2016Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive streams of class-imbalanced ... More

Corwin-Greenleaf multiplicity function for compact extensions of $\mathbb{R}^n$Jul 28 2018Let $G=K\ltimes\mathbb{R}^n$, where $K$ is a compact connected subgroup of $O(n)$ acting on $\mathbb{R}^n$ by rotations. Let $\mathfrak{g}\supset\mathfrak{k}$ be the respective Lie algebras of $G$ and $K$, and $pr: \mathfrak{g}^{*}\longrightarrow\mathfrak{k}^{*}$ ... More

A new time-projecting controller based on 3LP model to recover intermittent pushesMay 10 2016In this paper, we present a new walking controller based on 3LP model. Taking advantage of linear equations and closed-form solutions of 3LP, the proposed controller can project the state of the robot at any time during the phase back to a certain event ... More