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Preparation contextuality: the ground of quantum communication advantage?Feb 20 2018Mar 03 2019Where does quantum advantage spring from? Such an investigation necessitates invoking an ontology on which non-classical features of quantum theory are unveiled. One such non-classical ontic-feature is preparation contextuality (PC) and advantage in oblivious ... More

Activation of monogamy in non-locality using local contextualityJun 13 2016Mar 16 2017A unified view on the phenomenon of monogamy exhibited by Bell inequalities and non-contextuality inequalities arising from the no-signaling and no-disturbance principles is presented using the graph-theoretic method introduced in \textit{Phys. Rev. Lett. ... More

A unified graph-theoretic approach to monogamy relations between nonlocality and contextualityJun 13 2016Jul 07 2016A unified view on the phenomenon of monogamy exhibited by Bell inequalities and non-contextuality inequalities arising from the no-signaling and no-disturbance principles is developed using the graph-theoretic method introduced in \textit{Phys. Rev. Lett. ... More

Structure of quantum and broadcasting nonlocal correlationsApr 20 2015Jan 03 2016The multipartite setting offers much more complexity of nonlocality than the bipartite one. We analyze the structure of tripartite nonlocal correlations by proposing inequalities satisfied by each type: bilocal, broadcasting and quantum, but violated ... More

Multiparty quantum random access codesMay 14 2019May 15 2019Random access code (RAC), a primitive for many information processing protocols, enables one party to encode nbit string into one bit of message such that another party can retrieve partial information of that string. We introduce the multiparty version ... More

N-qubit Quantum Teleportation, Information Splitting and Superdense Coding through the composite GHZ-Bell ChannelMay 20 2011We introduce a general odd qubit entangled system composed of GHZ and Bell pairs and explicate its usefulness for quantum teleportation, information splitting and superdense coding. After demonstrating the superdense coding protocol on the five qubit ... More

Multiparty quantum random access codesMay 14 2019Random access code (RAC), a primitive for many information processing protocols, enables one party to encode nbit string into one bit of message such that another party can retrieve partial information of that string. We introduce the multiparty version ... More

Applying Dynkin's isomorphism: An alternative approach to understand the Markov property of the de Wijs processJul 27 2015Dynkin's (Bull. Amer. Math. Soc. 3 (1980) 975-999) seminal work associates a multidimensional transient symmetric Markov process with a multidimensional Gaussian random field. This association, known as Dynkin's isomorphism, has profoundly influenced ... More

Local implementations of non-local quantum gates in linear entangled channelJun 27 2012Aug 03 2014In this paper, we demonstrate n-party controlled unitary gate implementations locally on arbitrary remote state through linear entangled channel where control parties share entanglement with the adjacent control parties and only one of them shares entanglement ... More

State independent contextuality advances one-way communicationAug 16 2017Apr 29 2018Despite 'quantum contextuality' being one of the most fundamental non-classical features, its generic role in information processing and computation is an open quest. This article shows that quantum contextuality is a potential resource for communication. ... More

Rooted-tree network for optimal non-local gate implementationJun 28 2015Jul 23 2015A general quantum network for implementing non-local control-unitary gates, between remote parties at minimal entanglement cost, is shown to be a rooted-tree structure. Starting from a five party scenario, we demonstrate the local implementation of simultaneous ... More

Production of $HHH$ and $HHV(V=γ,Z)$ at the hadron collidersAug 11 2017Jan 20 2018We consider the production of two Higgs bosons in association with a gauge boson or another Higgs boson at the hadron colliders. We compute the cross sections and distributions for the processes $ p p \to H H H $ and $H H Z$ within the standard model. ... More

Di-vector boson production in association with a Higgs boson at hadron collidersJul 30 2019We consider the production of a Higgs boson in association with two electroweak vector bosons at hadron colliders. In particular, we examine $\gamma\gamma H$, $\gamma ZH$, $ZZH$, and $W^{+}W^{-}H$ production at the LHC (14 TeV), HE-LHC (27 TeV), and FCC-hh ... More

Multipartite Bell-type Inequality by Generalizing Wigner's ArgumentOct 29 2014Dec 05 2014Wigner's argument inferring Bell-type inequality for the EPR-Bohm entangled state is generalized here for any N-partite state. This is based on assuming for the relevant dichotomic observables the existence of the overall joint probability distributions, ... More

Gluon fusion contribution to $HBB$ ($B = H,γ, Z$) at the LHCSep 15 2016We have calculated one-loop amplitudes for the production of Higgs boson in association with two electroweak bosons ($H,\gamma,Z$) via gluon-gluon fusion. We present preliminary results for the total cross section at 8, 13 and 100 TeV center-of-mass energies ... More

The Meaning of Maximal Symmetry in Presence of TorsionOct 17 1997We show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present. All that is required is that the torsion fields satisfy some mutually consistent constraints. We also give an explicit realisation ... More

Three-Point Functions of Non-Unitary Minimal Matter Coupled to GravityDec 12 1991The tree-level three-point correlation functions of local operators in the general $(p,q)$ minimal models coupled to gravity are calculated in the continuum approach. On one hand, the result agrees with the unitary series ($q=p+1$); and on the other hand, ... More

A Scaling Relation in Inhomogeneous Cosmology with k-essence scalar fieldsFeb 03 2016We obtain a scaling relation for spherically symmetric k-essence scalar fields $\phi(r,t)$ for an inhomogeneous cosmology with the Lemaitre-Tolman- Bondi (LTB) metric. We show that this scaling relation reduces to the known relation for a homogeneous ... More

Paranoid Secondary: Waterfilling in a Cognitive Interference Channel with Partial InformationMar 02 2011We study a two-user cognitive channel, where the primary flow is sporadic, cannot be re-designed and operating below its link capacity. To study the impact of primary traffic uncertainty, we propose a block activity model that captures the random on-off ... More

Gauge and General Coordinate Invariance in Non-Polynomial Closed String Field TheoryOct 15 1991Oct 15 1991An appropriate field configuration in non-polynomial closed string field theory is shown to correspond to a general off-shell field configuration in low energy effective field theory. A set of string field theoretic symmetries that act on the fields in ... More

The Hawking Temperature in the context of Dark Energy for Reissner-Nordstrom and Kerr backgroundMar 12 2013Mar 17 2014For emergent gravity metrics, presence of dark energy modifies the Hawking temperature. We show that for the spherically symmetric Reissner-Nordstrom (RN) background metric, the emergent metric can be mapped into a Robinson-Trautman blackhole. Allowed ... More

Distributed Consensus with Finite Message PassingJun 09 2010Jun 29 2010Inspired by distributed resource allocation problems in dynamic topology networks, we initiate the study of distributed consensus with finite messaging passing. We first find a sufficient condition on the network graph for which no distributed protocol ... More

Duality Invariance of Cosmological Solutions with TorsionJan 27 1998Sep 24 1999We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the $O(d) \otimes O(d)$ transformation on the vacuum solutions gives inequivalent solutions that are ... More

Tachyon Condensation and Brane Descent Relations in p-adic String TheoryMar 30 2000It has been conjectured that an extremum of the tachyon potential of a bosonic D-brane represents the vacuum without any D-brane, and that various tachyonic lump solutions represent D-branes of lower dimension. We show that the tree level effective action ... More

Predictive Directions for Individualized Treatment Selection in Clinical TrialsJul 09 2018In many clinical trials, individuals in different subgroups have experience differential treatment effects. This leads to individualized differences in treatment benefit. In this article, we introduce the general concept of predictive directions, which ... More

c=1 String as the Topological Theory of the ConifoldJun 19 1995We show that the non-critical $c=1$ string at the self-dual radius is equivalent to topological strings based on the deformation of the conifold singularity of Calabi-Yau threefolds. The Penner sum giving the genus expansion of the free energy of the ... More

Towards p-Adic String in Constant B-FieldSep 30 2004Dec 17 2004Spacetime properties of the tachyon of the p-adic string theory can be derived from a (non-local) action on the p-adic line Q_p, thought of as the boundary of the `worldsheet'. We show that a term corresponding to the background of the antisymmetric second ... More

Posterior Convergence of Gaussian and General Stochastic Process Regression Under Possible MisspecificationsOct 24 2018In this article, we investigate posterior convergence in nonparametric regression models where the unknown regression function is modeled by some appropriate stochastic process. In this regard, we consider two setups. The first setup is based on Gaussian ... More

Device independent witness of arbitrary dimensional quantum systems employing binary outcome measurementsMar 14 2018Jan 04 2019Device independent dimension witnesses (DW) are a remarkable way to test the dimension of a quantum system in a prepare-and-measure scenario imposing minimal assumptions on the internal features of the devices. However, as the dimension increases, the ... More

Quantum nonlocality via local contextuality with qubit-qubit entanglementJul 30 2015Apr 30 2016Quantum nonlocality can be revealed "via local contextuality" in qudit-qudit entangled systems with $d > 2$, that is, through the violation of inequalities containing Alice-Bob correlations that admit a local description, and Alice-Alice correlations ... More

Operational foundations of complementarity and uncertainty relationsSep 10 2018Sep 11 2018The so-called preparation uncertainty can be understood in purely operational terms. Namely, it occurs when for some pair of observables, there is no preparation, for which they both exhibit deterministic statistics. However, the right-hand side of uncertainty ... More

Running of Oscillation Parameters in Matter with Flavor-Diagonal Non-Standard Interactions of the NeutrinoJun 28 2015Oct 10 2015In this article we unravel the role of matter effect in neutrino oscillation in the presence of lepton-flavor-conserving, non-universal non-standard interactions (NSI's) of the neutrino. Employing the Jacobi method, we derive approximate analytical expressions ... More

Wigner's form of the Leggett-Garg inequality, No-Signalling in Time, and Unsharp MeasurementsSep 03 2014Mar 04 2015Wigner's form of the local realist inequality is used to derive its temporal version for an oscillating two-level system involving two-time joint probabilities. Such an inequality may be regarded as a novel form of the Leggett-Garg inequality (LGI) constituting ... More

Complementarity between entanglement-assisted and quantum distributed random access codeJan 30 2017May 30 2017Collaborative communication tasks such as random access codes (RACs) employing quantum resources have manifested great potential in enhancing information processing capabilities beyond the classical limitations. The two quantum variants of RACs, namely, ... More

Operational foundations of complementarity and uncertainty relationsSep 10 2018Mar 19 2019The so-called preparation uncertainty can be understood in purely operational terms. Namely, it occurs when for some pair of observables, there is no preparation, for which they both exhibit deterministic statistics. However, the right-hand side of uncertainty ... More

Construction of Maximally Symmetric Solutions for the MetricOct 17 1997We construct new maximally symmetric solutions for the metric. We then show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) $\otimes$ O(d) transformation ... More

Generalising The Concept Of Maximal Symmetry Of Spacetimes In The Presence Of TorsionDec 30 1994A possible generalisation is given to the meaning of maximal symmetry in the presence of torsion

Spacetime Dependent Lagrangians and the Vacuum Expectation Value of the Higgs fieldOct 05 2002The spacetime dependent lagrangian formalism of references [1-2] is used to obtain a classical solution of Yang-Mills theory. This is then used to obtain an estimate of the vacuum expectation value of the Higgs field, viz. $\phi_{a}=A/e$, where $A$ is ... More

Analysis of Security Threats in Wireless Sensor NetworkJun 02 2014Wireless Sensor Network(WSN) is an emerging technology and explored field of researchers worldwide in the past few years, so does the need for effective security mechanisms. The sensing technology combined with processing power and wireless communication ... More

Quantum state-dependent diffusion and multiplicative noise: a microscopic approachMar 28 2005The state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-reservoir nonlinear coupling model we present a microscopic approach to ... More

A generalization of Wolynes factor in activated processesNov 10 2004Kramers-Grote-Hynes factor is the key nonequilibrium contribution to rate constant of a reaction over and above the transition state theory rate in the spatial limited regime. Wolynes in eighties introduced a quantum correction to the overall rate coefficient. ... More

Anharmonic quantum contribution to vibrational dephasingJul 05 2004Based on a quantum Langevin equation and its corresponding Hamiltonian within a c-number formalism we calculate the vibrational dephasing rate of a cubic oscillator. It is shown that leading order quantum correction due to anharmonicity of the potential ... More

Wilson loop via AdS/CFT dualityMar 09 2000The Wilson loop in N=4 supersymmetric Yang-Mills theory admits a dual description as a macroscopic string configuration in the adS/CFT correspondence. We discuss the correction to the quark anti-quark potential arising from the fluctuations of the superstring. ... More

Relativistic Causal correlations and their propertiesDec 04 2017Dec 14 2017The characterization of non-local correlations with respect to the causal order of events in spacetime is still an open question. We systematically investigate the polytope of relativistic causal boxes in the three-party Bell scenario and compute the ... More

Reformulating Noncontextuality Inequalities in Operational ApproachSep 20 2015Jun 17 2016A new noncontextuality inequality is presented [Phys. Rev. Lett. 115, 110403 (2015)] based on Kochen-Specker (KS) set in a theoretically independent way without imposing the assumption of determinism. By proposing novel kind of noncontextuality inequalities, ... More

Reformulating noncontextuality inequalities in an operational approachSep 20 2015Dec 07 2016A new theory-independent noncontextuality inequality is presented [Phys. Rev. Lett. 115, 110403 (2015)] based on Kochen-Specker (KS) set without imposing the assumption of determinism. By proposing novel noncontextuality inequalities, we show that such ... More

Shape of Higgs Potential at Future CollidersJul 03 2019Although the Higgs boson has been discovered, its self couplings are poorly constrained. It leaves the nature of the Higgs boson undetermined. Motivated by different Higgs potential scenarios other than the Landau-Ginzburg type in the standard model, ... More

Topological 2D String Theory: Higher-genus Amplitudes and W-infinity IdentitiesOct 06 1994Jan 24 1995We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory ... More

Photoinduced Chern insulating states in semi-Dirac materialsJun 15 2016Aug 31 2016Two-dimensional (2D) semi-Dirac materials are characterized by a quadratic dispersion in one direction and a linear dispersion along the orthogonal direction. We study the topological phase transition in such 2D systems in the presence of an electromagnetic ... More

Anisotropic cosmological models with perfect fluid and dark energy revisitedJan 21 2005We consider a self-consistent system of Bianchi type-I (BI) gravitational field and a binary mixture of perfect fluid and dark energy. The perfect fluid is taken to be the one obeying the usual equation of state, i.e., $p = \zeta \ve$, with $\zeta \in ... More

Bianchi type I universe with viscous fluidSep 28 2004Oct 13 2004We study the evolution of a homogeneous, anisotropic Universe given by a Bianchi type-I cosmological model filled with viscous fluid, in the presence of a cosmological constant $\Lambda$. The role of viscous fluid and $\Lambda$ term in the evolution the ... More

Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer pointsFeb 12 2019In this article, we study the local behaviour of the multiple zeta functions at integer points and write down a Laurent type expansion of the multiple zeta functions around these points. Such an expansion involves a convergent power series whose coefficients ... More

Spinor fields in spherically symmetric space-timeJun 24 2018Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum tensor of the spinor ... More

Spinor field in Bianchi type-$IX$ space-timeMay 22 2017May 30 2017Within the scope of Bianchi type-$IX$ we have studied the role of spinor field in the evolution of the Universe. It is found that unlike the diagonal Bianchi models in this case the components of energy-momentum tensor of spinor field along the principal ... More

Some remarks on Bianchi type-II, VIII and IX modelsJul 22 2011Within the scope of anisotropic non-diagonal Bianchi type-II, VIII and IX spacetime it is shown that the off-diagonal components of the corresponding metric impose severe restrictions on the components of the energy momentum tensor in general. If the ... More

Nonlinear spinor field in Bianchi type-II spacetimeApr 27 2011Within the scope of a Bianchi type-II (BII) cosmological model we study the role of a nonlinear spinor field in the evolution of the Universe. The system allows exact solutions only for some special choice of spinor field nonlinearity.

Nonlinear spinor field in cosmologyAug 28 2003Within the scope of Bianchi type VI (BVI) model the self-consistent system of nonlinear spinor and gravitational fields is considered. Exact self-consistent solutions to the spinor and gravitational field equations are obtained for some special choice ... More

Nonlinear Spinor Field in Anisotropic UniversesJul 04 2002Evolution of an anisotropic universe described by a Bianchi type I (BI) model in presence of nonlinear spinor field has been studied by us recently in a series of papers. On offer the Bianchi models, those are both inhomogeneous and anisotropic. Within ... More

Quadrupole Contribution in Semiclassical Radiation TheoryNov 12 2000Within the frame-work of semiclassical theory two-level approximation in atomic system has been considered. Model proposed by M.D. Crisp and E.T. Jaynes has been modified. It has been shown that the time-dependent frequency shift depends on the higher ... More

Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctionsAug 01 2013Effects due to the proximity of a superconductor has motivated a lot of research work in the last several decades both from theoretical and experimental point of view. In this review we are going to describe the physics of systems containing normal metal-superconductor ... More

Galilean symmetry in noncommutative Gravitational Quantum WellMar 27 2008May 25 2010A thorough analysis of Galilean symmetries for the gravitational well problem on a noncommutative plane is presented. A complete closure of the one-parameter centrally extended Galilean algebra is realised for the model. This implies that the field theoretic ... More

Time-Space Noncommutativity in Gravitational Quantum Well scenarioSep 27 2006A novel approach to the analysis of the gravitational well problem from a second quantised description has been discussed. The second quantised formalism enables us to study the effect of time space noncommutativity in the gravitational well scenario ... More

Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfacesDec 04 2018May 08 2019Let $D$ be an indefinite quaternion division algebra over $\mathbb{Q}$. We approach the problem of bounding the sup-norms of automorphic forms $\phi$ on $D^\times(\mathbb{A})$ that belong to irreducible automorphic representations and transform via characters ... More

Large values of newforms on GL(2) with highly ramified central characterDec 17 2014Sep 23 2015We give a lower bound for the sup-norm of an $L^2$-normalized newform in an irreducible, unitary, cuspidal representation $\pi$ of $GL_2$ over a number field. When the central character of $\pi$ is sufficiently ramified, this bound improves upon the trivial ... More

Determinant bundle over the universal moduli space of principal bundles over the Teichmüller spaceApr 03 2017For a Riemann surface $X$ and the moduli of regularly stable $G$-bundles $M$, there is a naturally occuring "$adjoint$" vector bundle over $X \times M$. One can take the determinant of this vector bundle with respect to the projection map onto $M$. Our ... More

Noise Robust Online Inference for Linear Dynamic SystemsApr 22 2015We revisit the Bayesian online inference problems for the linear dynamic systems (LDS) under non- Gaussian environment. The noises can naturally be non-Gaussian (skewed and/or heavy tailed) or to accommodate spurious observations, noises can be modeled ... More

A soft ellipsoid potential for biaxial molecules : Modeling and computer simulationJun 24 2015A soft ellipsoid contact potential model for a pair of biaxial ellipsoidal molecules is proposed which considers the configuration dependent energy anisotropy explicitly along with their geometrical aspects. We performed Molecular Dynamics simulation ... More

Hybrid sup-norm bounds for Maass newforms of powerful levelSep 24 2015Oct 13 2015Let f be an L^2-normalized Hecke--Maass cuspidal newform of level N, character \chi and Laplace eigenvalue \lambda. Let N_1 denote the smallest integer such that N|N_1^2 and N_0 denote the largest integer such that N_0^2 |N. Let M denote the conductor ... More

Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmologyMar 05 2019Within the scope of Bianchi type-$I$ cosmological model we have studied the role of spinor field in the evolution of the Universe. In doing so we have considered the case with non-minimal coupling. It was found that the non-diagonal components of the ... More

Spinor model of a perfect fluid: examplesFeb 12 2009Different characteristic of matter influencing the evolution of the Universe has been simulated by means of a nonlinear spinor field. Using the nonlinear spinor field corresponding to different types of perfect fluid or dark energy as a source of gravitational ... More

Interacting scalar and spinor fields in Bianchi type I universe filled with magneto-fluidSep 12 2003Self-consistent system of spinor, scalar and BI gravitational fields in presence of magneto-fluid and $\Lambda$-term is considered. Assuming that the expansion of the BI universe is proportional to the $\sigma_1^1$ component of the shear tensor, exact ... More

Dirac Spinor in Bianchi-I Universe with Time Dependent Gravitational and Cosmological ConstantsSep 01 2000Self-consistent system of nonlinear spinor field and Bianchi I (BI) gravitational one with time dependent gravitational constant ($G$) and cosmological constant ($\Lambda$) has been studied. The initial and the asymptotic behaviors of the field functions ... More

Spinor field in Bianchi type-$II$ UniverseAug 09 2017Oct 24 2017Within the scope of Bianchi type-$II$ cosmological model we have studied the role of spinor field in the evolution of the Universe. It is found that in this case the components of energy-momentum tensor of spinor field along the principal axis are different, ... More

Nonlinear Spinor Fields in Bianchi type-$VI_0$ spacetimeApr 15 2015Oct 20 2015Within the scope of Bianchi type-$VI_0$ spacetime we study the role of spinor field on the evolution of the Universe. It is found that the presence of nontrivial non-diagonal components of energy-momentum tensor of the spinor field plays vital role on ... More

Interacting Scalar and Electromagnetic Fields in $f(R,\,T)$ Theory of GravityOct 07 2014Within the scope of $f(R,\,T)$ gravity we have studied the interacting scalar and electromagnetic fields in a Bianchi type I universe. It was found that if the study is confined to the case $f(R,\,T) = R + \lambda f(T)$, the system is completely given ... More

Nonlinear Spinor Fields in Bianchi type-I spacetime reexaminedFeb 06 2013Dec 09 2013The specific behavior of spinor field in curve space-time with the exception of FRW model almost always gives rise to non-trivial non-diagonal components of the energy-momentum tensor. This non-triviality of non-diagonal components of the energy-momentum ... More

Bianchi type-V dark energy model with varying EoS parameterSep 27 2012Within the scope of an anisotropic Bianchi type-V cosmological model we have studied the evolution of the universe. The assumption of a diagonal energy-momentum tensor leads to some severe restriction on the metric functions, which on its part imposes ... More

Spinor model of a perfect fluidJan 10 2009Jan 29 2009Different characteristic of matter influencing the evolution of the Universe has been simulated by means of a nonlinear spinor field. We have considered two cases where the spinor field nonlinearity occurs either as a result of self-action or due to the ... More

Nonlinear spinor field in Bianchi type-I cosmology: accelerated regimesAug 09 2006A self-consistent system of interacting nonlinear spinor and scalar fields within the scope of a Bianchi type-I cosmological model filled with perfect fluid is considered. Exact self-consistent solutions to the corresponding field equations are obtained. ... More

Spinor field with induced nonlinearity in a Bianchi type-I UniverseDec 27 2002Self-consistent solutions to the spinor, scalar and BI gravitational field equations are obtained. The problems of initial singularity and asymptotically isotropization process of the initially anisotropic space-time are studied. It is also shown that ... More

Solitons of Induced Scalar Field and Their StabilityNov 13 1998Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained. We considered Freedman-Robertson-Walker (FRW) space-time as an external homogenous ... More

Scalar Field with Induced Nonlinearity: Regular Solutions and their StabilityJun 03 1998Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained within the scope of general relativity. In particular, we considered Freedman-Robertson-Walker ... More

Bottom Pair Production and Search for Heavy ResonancesJan 30 2011Jul 20 2011The search for heavy resonances has for long been a part of the physics programme at colliders. Traditionally, the dijet channel has been examined as part of this search. Here, bottom pair production is examined as a possible search channel. The chiral ... More

Probing Anomalous Top-Gluon Couplings at CollidersOct 10 2010Anomalous chromomagnetic and chromoelectric dipole moments of the top quark may arise from various high scale theories. We carry out a model independent study of such interactions focusing on the limits that can be obtained from current Tevatron data ... More

Time-delay quasars: scales and orders of magnitudesOct 23 2003We can think of a lensed quasar as taking the Hubble time, shrinking it by \~10^{-11}, and then presenting the result to us as a time delay; the shrinking factor is of the order of fractional sky-area that the lens occupies. This cute fact is a straightforward ... More

Invariant Forms for Correspondences of CurvesMar 06 2012In this article, we study the invariant differential forms which a correspondence of curves admits. We also try to classify the correspondences of $\mathbb{P}^1$ that admits such invariant differential forms.

Splitting of integer polynomials over fields of prime orderFeb 28 2018Mar 01 2018It is well known that a polynomial $\phi(X)\in \mathbb{Z}[X]$ of given degree $d$ factors into at most $d$ factors in $\mathbb{F}_p$ for any prime $p$. We prove in this paper the existence of infinitely many primes $q$ so that the given polynomial $\phi$(X) ... More

Consideration Points Detecting Cross-Site ScriptingAug 28 2009Web application (WA) expands its usages to provide more and more services and it has become one of the most essential communication channels between service providers and the users. To augment the users experience many web applications are using client ... More

Genetic algorithm based optimization and post optimality analysis of multi-pass face millingFeb 04 2009This paper presents an optimization technique for the multi-pass face milling process. Genetic algorithm (GA) is used to obtain the optimum cutting parameters by minimizing the unit production cost for a given amount of material removal. Cutting speed, ... More

Modelling the Structure of a Protein Domain (N-terminal of XPB) Linked with Protein Synthesis, DNA Damage Repair, Rare Diseases, Cancer Therapeutics, and TuberculosisApr 23 2016In this work, we develop first near-complete 3D models for NTD-hXPB - the N-terminal protein domain of the human transcription factor XPB. The results are very significant as NTD-hXPB plays a critical role in the synthesis of proteins (specifically transcription) ... More

On a conjecture of David Aldous: river network and the continuum random treeApr 03 2017Jun 09 2017Consider the graph with vertex set $\mathbb{Z}^2_{\text{even}} := \{(x,t) : x + t \text{ even}\}$ and a random edge set $E$ which, for each $(x,t) \in \mathbb{Z}^2_{\text{even}}$, contains either the edge $\langle (x,t), (x+1, t+1)\rangle$ or $\langle ... More

Nonlinear Spinor field in isotropic space-time and dark energy modelsJun 01 2016Jul 26 2016Within the scope of isotropic FRW cosmological model the role of nonlinear spinor field in the evolution of the Universe is studied. It is found that unlike in anisotropic cosmological models in the present case the spinor field does not possess nontrivial ... More

Nonlinear Spinor Fields in Bianchi type-III spacetimeMar 15 2016Within the scope of Bianchi type-III spacetime we study the role of spinor field on the evolution of the Universe as well as the influence of gravity on the spinor field. In doing so we have considered a polynomial type of nonlinearity. In this case the ... More

Nonlinear Spinor Fields in Bianchi type-V spacetimeFeb 18 2016A self-consistent system of nonlinear spinor and Bianchi type-V anisotropic gravitational fields are investigated. It is found that the presence of nontrivial non-diagonal components of the energy-momentum tensor of the spinor field imposes some severe ... More

Nonlinear Spinor Fields in Bianchi type-VI spacetimeJul 14 2015May 23 2016Within the scope of Bianchi type-VI cosmological model we study the role of spinor field in the evolution of the Universe. It is found that due to the spinor affine connections the energy-momentum tensor of the spinor field possesses non-diagonal components. ... More

Anisotropic cosmological models with perfect fluid and dark energyDec 16 2004We consider a self-consistent system of Bianchi type-I (BI) gravitational field and a binary mixture of perfect fluid and dark energy. The perfect fluid is taken to be the one obeying the usual equation of state, i.e., $p = \zeta \ve$, with $\zeta \in ... More

Nonlinear Spinor Fields and its role in CosmologyMar 15 2011Different characteristic of matter influencing the evolution of the Universe has been simulated by means of a nonlinear spinor field. Exploiting the spinor description of perfect fluid and dark energy evolution of the Universe given by an anisotropic ... More

Interacting spinor and scalar fields in Bianchi type-I Universe filled with viscous fluid: exact and numerical solutionsMar 26 2007Jun 06 2008We consider a self-consistent system of spinor and scalar fields within the framework of a Bianchi type I gravitational field filled with viscous fluid in presence of a $\Lambda$ term. Exact self-consistent solutions to the corresponding spinor, scalar ... More

Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfacesDec 04 2018Dec 11 2018Let $D$ be an indefinite quaternion division algebra over $\mathbb{Q}$. We approach the problem of bounding the sup-norms of automorphic forms $\phi$ on $D^\times(\mathbb{A})$ that belong to irreducible automorphic representations and transform via characters ... More

Lensing Degeneracies RevisitedJun 29 2000This paper shows that the mass-sheet degeneracy and other degeneracies in lensing have simple geometrical interpretations: they are mostly rescalings of the arrival-time surface. Different degeneracies appear in Local Group lensing and in cosmological ... More