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Efficient Hybrid Network Architectures for Extremely Quantized Neural Networks Enabling Intelligence at the EdgeFeb 01 2019The recent advent of `Internet of Things' (IOT) has increased the demand for enabling AI-based edge computing. This has necessitated the search for efficient implementations of neural networks in terms of both computations and storage. Although extreme ... More

Geodesics in exact plane wave spacetimes and the memory effectJan 31 2019May 29 2019Recently, in several articles [notably, Phys. Rev. D 96, 064013(2017)], it has been shown qualitatively, how the displacement and velocity memory effects can be analysed by studying geodesics in the exact, vacuum, plane gravitational wave line element. ... More

Geodesics in exact plane wave spacetimes and the memory effectJan 31 2019Recently [Phys. Rev. D 96, 064013(2017)], it has been shown how the displacement and velocity memory effects can be analysed by studying geodesics in the exact plane gravitational wave line element. In our work here, we provide simple and largely analytical ... More

Discretization based Solutions for Secure Machine Learning against Adversarial AttacksFeb 08 2019Feb 11 2019Adversarial examples are perturbed inputs that are designed (from a deep learning network's (DLN) parameter gradients) to mislead the DLN during test time. Intuitively, constraining the dimensionality of inputs or parameters of a network reduces the 'space' ... More

Technology Aware Training in Memristive Neuromorphic Systems based on non-ideal Synaptic CrossbarsNov 24 2017The advances in the field of machine learning using neuromorphic systems have paved the pathway for extensive research on possibilities of hardware implementations of neural networks. Various memristive technologies such as oxide-based devices, spintronics ... More

Energy-Efficient Memories using Magneto-Electric Switching of FerromagnetsJan 27 2017Voltage driven magneto-electric (ME) switching of ferro-magnets has shown potential for future low-energy spintronic memories. In this paper, we first analyze two different ME devices viz. ME-MTJ and ME-XNOR device with respect to writability, readability ... More

Discretization based Solutions for Secure Machine Learning against Adversarial AttacksFeb 08 2019Adversarial examples are perturbed inputs that are designed (from a deep learning network's (DLN) parameter gradients) to mislead the DLN during test time. Intuitively, constraining the dimensionality of inputs or parameters of a network reduces the 'space' ... More

Principle bundles admitting a holomorphic structureJan 18 1996Let $M$ be a compact connected K\"ahler manifold and let ${\E}_{l-1}$ be the smallest term in the Harder-Narasimhan filtration of its tangent bundle. Let $G$ be an affine algebraic reductive group over $\C$. We prove the following result: If $M$ satisfies ... More

Stable principal bundles and reduction of structure groupAug 23 2006Let $E_G$ be a stable principal $G$--bundle over a compact connected Kaehler manifold, where $G$ is a connected reductive linear algebraic group defined over the complex numbers. Let $H\subset G$ be a complex reductive subgroup which is not necessarily ... More

On the discrete analog of gamma-Lomax distribution: properties and applicationsFeb 25 2018A two parameter discrete gamma-Lomax distribution is derived as a discrete analogous to the continuous three parameters gamma-Lomax distribution (see Alzaatreh et al. (2013, 2014)) using the general approach for discretization of continuous probability ... More

A Photonic In-Memory Computing primitive for Spiking Neural Networks using Phase-Change MaterialsAug 03 2018Oct 24 2018Spiking Neural Networks (SNNs) offer an event-driven and more biologically realistic alternative to standard Artificial Neural Networks based on analog information processing. This can potentially enable energy-efficient hardware implementations of neuromorphic ... More

On the algebraic holonomy of stable principal bundlesMar 05 2007Oct 19 2010Apart from math.AG/0608569, it contains the following applications of it. Let M be a simply connected, irreducible smooth complex projective variety of dimension $n$ such that the Picard number of $M$ is one. If the canonical line bundle $K_M$ is ample, ... More

Design of a Low Voltage Analog-to-Digital Converter using Voltage Controlled Stochastic Switching of Low Barrier NanomagnetsMar 04 2018May 23 2018The inherent stochasticity in many nano-scale devices makes them prospective candidates for low-power computations. Such devices have been demonstrated to exhibit probabilistic switching between two stable states to achieve stochastic behavior. Recently, ... More

A remark on the jet bundles over the projective lineJul 03 1996This is a footnote of a recent interesting work of Cohen, Manin and Zagier, where they, among other things, produce a natural isomorphism between the sheaf of (n-1)-th order jets of the n-th tensor power of the tangent bundle of a Riemann surface equipped ... More

Fisher Information: Quantum Uncertainty RelationNov 17 2005The paper deals with the reformulation of quantum uncertainty relation involving position and momentum of a particle on the basis of the Kerridge measure of inaccuracy and the Fisher information.

Secret Broadcasting of GHZ type stateDec 04 2008Apr 05 2010Here we described a protocol by which one can broadcast GHZ-type states secretly. We have done this with the help of a cloning machine followed by subsequent measurements. We also made a comparative study of the amount of residual tangle present in these ... More

Single qubit, two qubit gates and no signalling principleMay 22 2006Jan 31 2009In this work we investigate that whether one can construct single and two qubit gates for arbitrary quantum states from the principle of no signalling. We considered the problem for Pauli gates, Hadamard gate, C-Not gate.

Semistability of invariant bundles over $G/Γ$Nov 03 2011Let $G$ be a connected reductive affine algebraic group defined over $\mathbb C$, and let $\Gamma$ be a cocompact lattice in $G$. We prove that any invariant bundle on $G/\Gamma$ is semistable.

Impossibility of partial swapping of Quantum InformationDec 14 2006Jun 06 2007It is a well known fact that a quantum state $|\psi(\theta,\phi)>$ are represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. Here in this work, we find out another impossible operation in quantum information ... More

Holonomy Quantization of Moduli Spaces & Grothendieck GroupsSep 01 2004Gelfand's charecterization of a topological space M by the duality relationship of M and $\mathcal{A} = \mathcal{F}(M)$, the commutative algebra of functions on this space has deep implications including the development of spectral calculas by Connes ... More

Estimating Vacuum Tunneling RatesOct 18 1996Jan 30 1997We show that in Euclidean field theories that have bounce solutions, the bounce with the least action is the global minimum of the action in an open space of field configurations. A rigorous upper bound on the minimal bounce action can therefore be obtained ... More

On the curvature of symmetric products of a compact Riemann surfaceFeb 03 2013Let $X$ be a compact connected Riemann surface of genus at least two. The main theorem of arxiv:1010.1488 says that for any positive integer $n \leq 2({\rm genus}(X)-1)$, the symmetric product $S^n(X)$ does not admit any K\"ahler metric satisfying the ... More

Determinant line bundle on moduli space of parabolic bundlesDec 21 2010In \cite{BR1}, \cite{BR2}, a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it. The construction of the Hermitian structure was indirect: The parabolic determinant line ... More

Principal bundles on compact complex manifolds with trivial tangent bundleApr 06 2011Let $G$ be a connected complex Lie group and $\Gamma\subset G$ a cocompact lattice. Let $H$ be a complex Lie group. We prove that a holomorphic principal $H$-bundle $E_H$ over $G/\Gamma$ admits a holomorphic connection if and only if $E_H$ is invariant. ... More

Semistability and restrictions of tangent bundle to curvesJan 27 2009We consider all complex projective manifolds X that satisfy at least one of the following three conditions: 1. There exists a pair $(C ,\varphi)$, where $C$ is a compact connected Riemann surface and $\varphi : C\to X$ a holomorphic map, such that the ... More

Teleportation via a mixture of a two qubit subsystem of a N-qubit W and GHZ stateJan 28 2009Dec 08 2009In this work we study a state which is a random mixture of a two qubit subsystem of a $N$-qubit W state and GHZ state. We analyze several possibilities like separability criterion (Peres-Horodecki criterion [14,15]), non violation of Bell's inequality ... More

Partial Swapping, Unitarity and No-signallingJun 27 2007It is a well known fact that an quantum state $|\psi(\theta,\phi)>$ is represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. In a recent work we already proved that it is impossible to partially swap these quantum ... More

Connections on a parabolic principal bundle, IIFeb 10 2007In \cite{Bi2} (Canad. Jour. Math. Vol. 58) we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in \cite{Bi2} that the Atiyah exact sequence ... More

PCA-driven Hybrid network design for enabling Intelligence at the EdgeJun 04 2019The recent advent of IOT has increased the demand for enabling AI-based edge computing in several applications including healthcare monitoring systems, autonomous vehicles etc. This has necessitated the search for efficient implementations of neural networks ... More

Toward Fast Neural Computing using All-Photonic Phase Change Spiking NeuronsApr 01 2018Aug 28 2018The rapid growth of brain-inspired computing coupled with the inefficiencies in the CMOS implementations of neuromrphic systems has led to intense exploration of efficient hardware implementations of the functional units of the brain, namely, neurons ... More

8T SRAM Cell as a Multi-bit Dot Product Engine for Beyond von-Neumann ComputingFeb 22 2018Oct 16 2018Large scale digital computing almost exclusively relies on the von-Neumann architecture which comprises of separate units for storage and computations. The energy expensive transfer of data from the memory units to the computing cores results in the well-known ... More

Capacitively Driven Global Interconnect with Magnetoelectric Switching Based Receiver for Higher Energy EfficiencyFeb 26 2018We propose capacitively driven low-swing global interconnect circuit using a receiver that utilizes magnetoelectric (ME) effect induced magnetization switching to reduce the energy consumption. Capacitively driven wire has recently been shown to be effective ... More

Differential geometry of moduli spaces of quiver bundlesJun 05 2016Let P be a parabolic subgroup of a simple affine algebraic group G defined over C and X a compact connected K\"ahler manifold. L. \'Alvarez-C\'onsul and O. Garc\'ia-Prada associated to these a quiver Q and representations of Q into holomorphic vector ... More

Non Existence of Quantum Mechanical Self Replicating MachineOct 28 2005Jan 14 2007In this letter we establish the impossibility of existence of self replicating machine in the quantum world. We establish this result by three different but consistent approaches of linearity of quantum mechanics, no signalling condition and conservation ... More

(NS5,D5,D3) bound state, OD3, OD5 limits and SL(2,Z) dualityJul 14 2001Mar 07 2002We generalize the non-threshold bound state in type IIB supergravity of the form (NS5, D5, D3) constructed by the present authors (in hep-th/0011236) to non-zero asymptotic value of the axion $(\chi_0$). We identify the decoupling limits corresponding ... More

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theoriesNov 27 2000Dec 05 2000Starting from the (q,p) 5-brane solution of type IIB string theory, we here construct the low energy configuration corresponding to (NS5,Dp)-brane bound states (for $0\leq p\leq 4$) using the T-duality map between type IIB and type IIA string theories. ... More

Commuting elements in reductive groups and Higgs bundles on abelian varietiesMay 15 2013Let G be a connected real reductive algebraic group, and let K be a maximal compact subgroup of G. We prove that the conjugation orbit space Hom(Z^{2d},K)/K is a strong deformation retract of the space Hom(Z^{2d},G)/G of equivalence classes of representations ... More

A remark on "Connections and Higgs fields on a principal bundle"Feb 21 2011We show that a unipotent vector bundle on a non-Kaehler compact complex manifold does not admit a flat holomorphic connection in general. We also construct examples of topologically trivial stable vector bundle on compact Gauduchon manifold that does ... More

Connections and restrictions to curvesMay 15 2018We construct a vector bundle $E$ on a smooth complex projective surface $X$ with the property that the restriction of $E$ to any smooth closed curve in $X$ admits an algebraic connection while $E$ does not admit any algebraic connection.

A Torelli theorem for moduli spaces of principal bundles over a curveMar 22 2010Feb 11 2011Let X and X' be compact Riemann surfaces of genus at least 3, and let G and G' be nonabelian reductive complex groups. If one component M_G^d(X) of the moduli space for semistable principal G-bundles over X is isomorphic to another component M_{G'}^{d'}(X'), ... More

On some further properties and application of Weibull-R family of distributionsNov 01 2017In this paper, we provide some new results for the Weibull-R family of distributions (Alzaghal, Ghosh and Alzaatreh (2016)). We derive some new structural properties of the Weibull-R family of distributions. We provide various characterizations of the ... More

The Set-Maxima Problem in a Geometric SettingNov 06 2018In this paper we look at the classical set-maxima problem. We give a new result using a sparse lattice of subsets. We then extend this to a geometric setting. Let $P$ be a set of $n$ points in a plane and $\mathcal{S}$ be a set of convex regions. Let ... More

Routing and Sorting Via Matchings On GraphsApr 18 2016Apr 27 2016The paper is divided in to two parts. In the first part we present some new results for the \textit{routing via matching} model introduced by Alon et al\cite{5}. This model can be viewed as a communication scheme on a distributed network. The nodes in ... More

Parabolic k-ample bundlesMar 07 2011We construct projectivization of a parabolic vector bundle and a tautological line bundle over it. It is shown that a parabolic vector bundle is ample if and only if the tautological line bundle is ample. This allows us to generalize the notion of a k-ample ... More

Sasakian and parabolic Higgs bundlesDec 28 2017Let $M$ be a quasi-regular compact connected Sasakian manifold, and let $N = M/S^1$ be the base projective variety. We establish an equivalence between the class of Sasakian $G$-Higgs bundles over $M$ and the class of parabolic (or equivalently, ramified) ... More

On the Gieseker Harder-Narasimhan filtration for principal bundlesNov 11 2014We give an example of an orthogonal bundle where the Harder-Narasimhan filtration, with respect to Gieseker semistability, of its underlying vector bundle does not correspond to any parabolic reduction of the orthogonal bundle. A similar example is given ... More

Unitary representations of the fundamental group of OrbifoldsAug 27 2009Feb 06 2012There is a well known bijective correspondence between isomorphism classes of polystable vector bundles $E$ with $c_i(E)=0$ for $i\geq 1$ on a smooth complex projective variety and equivalence classes of unitary representations of the fundamental group ... More

Study of the family of Nonlinear Schrodinger equations by using the Adler-Kosant-Symes framework and the Tu methodology and their Non-holonomic deformationNov 18 2013May 22 2014The objective of this work is to explore the class of equations of the Non-linear Schrodinger type by employing the Adler-Kostant-Symes theorem and the Tu methodology.In the first part of the work, the AKS theory is discussed in detail showing how to ... More

Holomorphic Riemannian metric and fundamental groupApr 06 2018Nov 07 2018We prove that compact complex manifolds bearing a holomorphic Riemannian metric have infinite fundamental group.

On the Asymptotic Analysis of Problems Involving Fractional Laplacian in Cylindrical Domains Tending to InfinitySep 22 2015Oct 27 2015The article is an attempt to investigate the issues of asymptotic analysis for problems involving fractional Laplacian where the domains tend to become unbounded in one-direction. Motivated from the pioneering work on second order elliptic problems by ... More

A vanishing theorem for co-Higgs bundles on the moduli space of bundlesSep 13 2016May 24 2017We consider smooth moduli spaces of semistable vector bundles of fixed rank and determinant on a compact Riemann surface $X$ of genus at least $3$. The choice of a Poincar\'e bundle for such a moduli space $M$ induces an isomorphism between $X$ and a ... More

Gravitational collapse of cylindrical anisotropic fluid: A source of gravitational wavesFeb 19 2016Mar 05 2016The present work deals with dynamics of gravitational collapse with cylindrical symmetry as developed by Misner and Sharp. The interior collapsing anisotropic cylindrical perfect fluid is matched to an exterior vacuum cylindrically symmetric space-time ... More

Trajectory around a spherically symmetric non-rotating black holeSep 04 2011Trajectory of a test particle or a photon around a general spherical black hole is studied and bending of light trajectory is investigated. Pseudo-Newtonian gravitational potential describing the gravitational field of the black hole is determined and ... More

Electrically Modulated Thin Film Dynamics Controlling Bubble Manipulation in Microfluidic ConfinementMay 12 2013Dec 03 2014Thin film dynamics and associated instability mechanisms have triggered a wide range of scientific innovations, as attributed to their abilities of creating fascinating patterns over small scales. Here, we demonstrate a new thin film instability phenomenon ... More

A study of charged cylindrical Gravitational collapse with dissipative fluidFeb 20 2017The present works deals with gravitational collapse of cylindrical viscous heat conducting anisotropic fluid following the work of Misner and Sharp. Using Darmois matching conditions, the dynamical equations are derived and the effect of charge and dissipative ... More

On the Kähler structures over Quot schemesJan 29 2014Let $S^n(X)$ be the $n$-fold symmetric product of a compact connected Riemann surface $X$ of genus $g$ and gonality $d$. We prove that $S^n(X)$ admits a K\"ahler structure such that all the holomorphic bisectional curvatures are nonpositive if and only ... More

Massloss from viscous advective discOct 21 2006Apr 02 2007Rotating transonic flows are long known to admit standing or oscillating shocks and that the excess thermal energy in the post shock flow drives a part of the infalling matter as bipolar outflows. We compute massloss from a viscous advective disc. We ... More

Frequency Domain Design of Fractional Order PID Controller for AVR System Using Chaotic Multi-objective OptimizationJun 16 2013A fractional order (FO) PID or FOPID controller is designed for an Automatic Voltage Regulator (AVR) system with the consideration of contradictory performance objectives. An improved evolutionary Non-dominated Sorting Genetic Algorithm (NSGA-II), augmented ... More

Higgs bundles on Sasakian manifoldsJul 25 2016We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact K\"ahler manifolds to compact quasi-regular Sasakian manifolds. A particular consequence is the translation of restrictions on K\"ahler ... More

Hodge locus and Brill-Noether type locusSep 04 2016Given a family $\pi:\mc{X} \rightarrow B$ of smooth projective varieties, a closed fiber $\mc{X}_o$ and an invertible sheaf $\mc{L}$ on $\mc{X}_o$, we compare the Hodge locus in $B$ corresponding to the Hodge class $c_1(\mc{L})$ with the locus of points ... More

An ampleness criterion for line bundles on abelian varietiesApr 19 2019Let $A$ be an abelian variety defined over an algebraically closed field. We first show that a line bundle $L$ on $A$ is ample if its restriction to every curve in $A$ is ample. Using it we give a sufficient condition for a vector bundle on $A$ to be ... More

Compact Kähler manifolds with elliptic homotopy typeJan 21 2009Simply connected compact K\"ahler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. This is applied to classify the simply connected K\"ahler surfaces and Fano threefolds with elliptic homotopy ... More

New Results On Routing Via Matchings On GraphsJun 28 2017In this paper we present some new complexity results on the routing time of a graph under the \textit{routing via matching} model. This is a parallel routing model which was introduced by Alon et al\cite{alon1994routing}. The model can be viewed as a ... More

On the Automorphisms of a Rank One Deligne-Hitchin Moduli SpaceApr 17 2017Sep 06 2017Let $X$ be a compact connected Riemann surface of genus $g \geq 2$, and let ${\mathcal M}_{\rm DH}$ be the rank one Deligne-Hitchin moduli space associated to $X$. It is known that ${\mathcal M}_{\rm DH}$ is the twistor space for the hyper-K\"ahler structure ... More

Tamely ramified torsors and parabolic bundlesJun 21 2017Mar 15 2019Given a variety $X$, and a normal crossings divisor $D\subset X$, we relate, in the case of abelian monodromy, the following two: 1. existence of a $G$-torsor with prescribed ramification, and 2. existence of essentially finite parabolic vector bundles ... More

Geometry of moduli spaces of Higgs bundlesMay 22 2006We construct a Petersson-Weil type K\"ahler form on the moduli spaces of Higgs bundles over a compact K\"ahler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain ... More

On semistable principal bundles over a complex projective manifoldMar 28 2008Let G be a simple linear algebraic group defined over the complex numbers. Fix a proper parabolic subgroup P of G and a nontrivial antidominant character \chi of P. We prove that a holomorphic principal G-bundle E over a connected complex projective manifold ... More

Ice Shelves as Floating Channel Flows of Viscous Power-Law FluidsOct 30 2013Dec 07 2013We attempt to better understand the flow of marine ice sheets. Treating ice as a viscous shear-thinning power law fluid, we develop an asymptotic (late-time) theory in two cases - the presence or absence of contact with sidewalls. Most real-world situations ... More

A Torelli type theorem for exp-algebraic curvesJun 21 2016An exp-algebraic curve consists of a compact Riemann surface $S$ together with $n$ equivalence classes of germs of meromorphic functions modulo germs of holomorphic functions, $\HH = \{ [h_1], \cdots, [h_n] \}$, with poles of orders $d_1, \cdots, d_n ... More

Effects of Fluid Composition on Spherical Flows around Black HolesDec 14 2008Steady, spherically symmetric, adiabatic accretion and wind flows around non-rotating black holes were studied for fully ionized, multi-component fluids, which are described by a relativistic equation of state (EoS). We showed that the polytropic index ... More

Deligne pairing and Quillen metricJan 12 2015Let $X\rightarrow S$ be a smooth projective surjective morphism of relative dimension $n$, where $X$ and $S$ are integral schemes over $\mathbb C$. Let $L\rightarrow X$ be a relatively very ample line bundle. For every sufficiently large positive integer ... More

On the rational homotopy type of a moduli space of vector bundles over a curveMay 19 2006Oct 23 2007We study the rational homotopy of the moduli space ${\mathcal N}_X$ of stable vector bundles of rank two and fixed determinant of odd degree over a compact connected Riemann surface $X$ of genus $g\geq 2$. The symplectic group $Aut(H_1(X,{\mathbb Z}))=Sp(2g,{\mathbb ... More

Hermitian-Einstein connections on principal bundles over flat affine manifoldsSep 27 2011Let $M$ be a compact connected special flat affine manifold without boundary equipped with a Gauduchon metric $g$ and a covariant constant volume form. Let $G$ be either a connected reductive complex linear algebraic group or the real locus of a split ... More

Principal bundles over a real algebraic curveAug 01 2011Sep 25 2012Let X be a compact connected Riemann surface equipped with an anti-holomorphic involution \sigma. Let G be a connected complex reductive affine algebraic group, and let \sigma_G be a real form of G. We consider holomorphic principal G-bundles on X satisfying ... More

Study of relativistic magnetized outflows with relativistic equation of stateJul 29 2019We study relativistic magnetized outflows using relativistic equation of state having variable adiabatic index ($\Gamma$) and composition parameter $(\xi)$. We study the outflow in special relativistic magneto-hydrodynamic regime, from sub-Alfv\'enic ... More

On the fundamental group scheme of rationally chain connected varietiesOct 05 2014May 21 2015Let $k$ be an algebraically closed field. Chambert-Loir proved that the \'etale fundamental group of a normal rationally chain connected variety over $k$ is finite. We prove that the fundamental group scheme of a normal rationally chain connected variety ... More

Higgs bundles and flat connections over compact Sasakian manifoldsMay 15 2019Given a compact K\"ahler manifold $X$, there is an equivalence of categories between the completely reducible flat vector bundles on $X$ and the polystable Higgs bundles $(E,\, \theta)$ on $X$ with $c_1(E)= 0= c_2(E)$ \cite{SimC}, \cite{Cor}, \cite{UY}, ... More

Equivariant bundles and connectionsNov 27 2016Let $X$ be a connected complex manifold equipped with a holomorphic action of a complex Lie group $G$. We investigate conditions under which a principal bundle on $X$ admits a $G$--equivariance structure.

Morse theory for the space of Higgs G-bundlesFeb 05 2010Fix a $C^\infty$ principal $G$--bundle $E^0_G$ on a compact connected Riemann surface $X$, where $G$ is a connected complex reductive linear algebraic group. We consider the gradient flow of the Yang--Mills--Higgs functional on the cotangent bundle of ... More

Solutions of Strominger system from unitary representations of cocompact lattices of SL(2,C)Jan 03 2013Mar 09 2013Given an irreducible unitary representation of a cocompact lattice of SL(2,C), we explicitly write down a solution of the Strominger system of equations. These solutions satisfy the equation of motion, and the underlying holomorphic vector bundles are ... More

Thermal Transport for Many Body Tight-Binding ModelsNov 24 2002We clarify some aspects of the calculation of the thermal transport coefficients. For a tight-binding Hamiltonian we discuss the approximate nature of the charge current and the thermal current obtained by Peierls substitution which is also identical ... More

Memetics of Quantum Mechanical InterpretationsJan 12 2006Jan 11 2007The paper is taken out with immediate effect.

Inverses of structured vector bundlesJan 31 2015Apr 22 2015We prove that structured vector bundles whose holonomies lie in GL(N,C), SO(N,C), or Sp(2N,C) have structured inverses. This generalizes a theorem of Simons and Sullivan.

Weil-Petersson geometry and determinant bundles on inductive limits of moduli spacesOct 31 1996In an earlier paper [Acta Mathematica, v. 176, 1996, 145-169, alg-geom/9505024 ] the present authors and Dennis Sullivan constructed the universal direct system of the classical Teichm\"uller spaces of Riemann surfaces of varying genus. The direct limit, ... More

Matter Chern Simons Theories in a Background Magnetic FieldApr 16 2019We study large $N$ 2+1 dimensional fermions in the fundamental representation of an $SU(N)_k$ Chern Simons gauge group in the presence of a uniform background magnetic field for the $U(1)$ global symmetry of this theory. The magnetic field modifies the ... More

Relevance of Quantum Mechanics in Circuit Implementation of Ion channels in Brain DynamicsJun 08 2006With an increasing amount of experimental evidence pouring in from neurobiological investigations, it is quite appropriate to study viable reductionist models which may explain some of the features of brain activities. It is now quite well known that ... More

Yang-Mills equation for stable Higgs sheavesMar 31 2008We establish a Kobayashi-Hitchin correspondence for the stable Higgs sheaves on a compact Kaehler manifold. Using it, we also obtain a Kobayashi-Hitchin correspondence for the stable Higgs G-sheaves, where G is any complex reductive linear algebraic group. ... More

On a question of Sean KeelFeb 03 2011We answer a question of Sean Keel in the affirmative in the case of ruled surfaces

Brauer Group of Moduli Spaces of PGL(r)-Bundles over a curveApr 29 2009Apr 27 2010We compute the Brauer group of the moduli stack of stable PGL(r)-bundles on a curve $X$ over an algebraically closed field of characteristic zero. We also show that the Brauer group of such a moduli stack coincides with the Brauer group of the smooth ... More

Atiyah sequences, connections and Chern-Weil theory for algebraic and differentiable stacksNov 19 2013Nov 26 2013We construct connections and characteristic forms for principal bundles over groupoids and stacks in the differentiable, holomorphic and algebraic category using Atiyah sequences associated to transversal tangential distributions.

On the conjugacy of maximal unipotent subgroups of real semisimple Lie groupsMar 05 2012The existence of closed orbits of real algebraic groups on real algebraic varieties is established. As an application, it is shown that if G is a real reductive linear group with Iwasawa decomposition G= KAN, then every unipotent subgroup of G is conjugate ... More

Computing Maximal Layers Of Points in $E^{f(n)}$Aug 11 2015Nov 10 2015In this paper we present a randomized algorithm for computing the collection of maximal layers for a point set in $E^{k}$ ($k = f(n)$). The input to our algorithm is a point set $P = \{p_1,...,p_n\}$ with $p_i \in E^{k}$. The proposed algorithm achieves ... More

AppMine: Behavioral Analytics for Web Application Vulnerability DetectionAug 06 2019Web applications in widespread use have always been the target of large-scale attacks, leading to massive disruption of services and financial loss, as in the Equifax data breach. It has become common practice to deploy web application in containers like ... More

On semistable principal bundles over a complex projective manifold, IISep 25 2009Let (X, \omega) be a compact connected Kaehler manifold of complex dimension d and E_G a holomorphic principal G-bundle on X, where G is a connected reductive linear algebraic group defined over C. Let Z (G) denote the center of G. We prove that the following ... More

Homogeneous holomorphic hermitian principal bundles over hermitian symmetric spacesJan 12 2016We give a complete characterization of invariant integrable complex structures on principal bundles defined over hermitian symmetric spaces, using the Jordan algebraic approach for the curvature computations. In view of possible generalizations, the general ... More

Estimation of mass outflow rates from viscous relativistic accretion discs around black holesMay 03 2016We investigated flow in Schwarzschild metric, around a non-rotating black hole and obtained self-consistent accretion - ejection solution in full general relativity. We covered the whole of parameter space in the advective regime to obtain shocked, as ... More

Multi-standard programmable baseband modulator for next generation wireless communicationSep 09 2010Considerable research has taken place in recent times in the area of parameterization of software defined radio (SDR) architecture. Parameterization decreases the size of the software to be downloaded and also limits the hardware reconfiguration time. ... More

H_1-semistability for projective groupsMar 09 2014We initiate the study of the asymptotic topology of groups that can be realized as fundamental groups of smooth complex projective varieties with holomorphically convex universal covers (these are called here as holomorphically convex groups). We prove ... More

Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR systemMay 08 2012Jan 05 2013In this paper, a fractional order (FO) PI{\lambda}D\mu controller is designed to take care of various contradictory objective functions for an Automatic Voltage Regulator (AVR) system. An improved evolutionary Non-dominated Sorting Genetic Algorithm II ... More

On the Mixed H2/H-infinity Loop Shaping Trade-offs in Fractional Order Control of the AVR SystemNov 17 2013May 12 2014This paper looks at frequency domain design of a fractional order (FO) PID controller for an Automatic Voltage Regulator (AVR) system. Various performance criteria of the AVR system are formulated as system norms and is then coupled with an evolutionary ... More