Results for "Debashis Saha"

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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
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 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
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
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
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
Multiple testing procedures under confoundingMay 15 2008While multiple testing procedures have been the focus of much statistical research, an important facet of the problem is how to deal with possible confounding. Procedures have been developed by authors in genetics and statistics. In this chapter, we relate ... 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
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
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
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
Consistency of restricted maximum likelihood estimators of principal componentsMay 05 2008In this paper we consider two closely related problems : estimation of eigenvalues and eigenfunctions of the covariance kernel of functional data based on (possibly) irregular measurements, and the problem of estimating the eigenvalues and eigenvectors ... More
Shrinking the Quadratic EstimatorOct 08 2011We study a regression characterization for the quadratic estimator of weak lensing, developed by Hu and Okamoto (2001,2002), for cosmic microwave background observations. This characterization motivates a modification of the quadratic estimator by an ... 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
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
A geometric approach to maximum likelihood estimation of the functional principal components from sparse longitudinal dataOct 29 2007In this paper, we consider the problem of estimating the eigenvalues and eigenfunctions of the covariance kernel (i.e., the functional principal components) from sparse and irregularly observed longitudinal data. We approach this problem through a maximum ... 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
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
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
Limiting spectral distribution of renormalized separable sample covariance matrices when $p/n\to 0$Aug 08 2013Nov 17 2013We are concerned with the behavior of the eigenvalues of renormalized sample covariance matrices of the form C_n=\sqrt{\frac{n}{p}}\left(\frac{1}{n}A_{p}^{1/2}X_{n}B_{n}X_{n}^{*}A_{p}^{1/2}-\frac{1}{n}\tr(B_{n})A_{p}\right) as $p,n\to \infty$ and $p/n\to ... 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
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
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
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
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
Equivalence of Kernel Machine Regression and Kernel Distance Covariance for Multidimensional Trait Association StudiesFeb 11 2014Apr 02 2014Associating genetic markers with a multidimensional phenotype is an important yet challenging problem. In this work, we establish the equivalence between two popular methods: kernel-machine regression (KMR), and kernel distance covariance (KDC). KMR is ... 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
Augmented sparse principal component analysis for high dimensional dataFeb 06 2012We study the problem of estimating the leading eigenvectors of a high-dimensional population covariance matrix based on independent Gaussian observations. We establish lower bounds on the rates of convergence of the estimators of the leading eigenvectors ... More
Liouville D-branes in Two-Dimensional Strings and Open String Field TheoryJun 14 2004We study open strings in the noncritical $c=1$ bosonic string theory compactified on a circle at self-dual radius. These strings live on D-branes that are extended along the Liouville direction ({\it FZZT} branes). We present explicit expressions for ... 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
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
On the Exchange Interactions in Holographic p-adic CFTMay 16 2017May 30 2017There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability in the holographic setting. We compute the contributions from the exchange interactions ... More
Study of partially polarized fractional quantum Hall statesNov 26 2018We have studied the partially spin-polarized fractional quantum Hall states using Chern Simon's theory and plasma picture proposed by Halperin. Using these theoretical techniques we have tried to find the stable polarized states of different filling fractions ... More
An orientifold of the solitonic fivebraneJun 09 1997Jun 25 1997We study an orientifold of the solitonic fivebrane of type II string theory. The consideration is restricted to a space-time domain which can be described by an exact conformal field theory. There are no IR divergent contributions to tadpole diagrams ... More
On the Marčenko-Pastur law for linear time seriesOct 27 2013Apr 02 2015This paper is concerned with extensions of the classical Mar\v{c}enko-Pastur law to time series. Specifically, $p$-dimensional linear processes are considered which are built from innovation vectors with independent, identically distributed (real- or ... More
Lorentz-preserving fields in Lorentz-violating theoriesNov 04 2010Nov 03 2011We identify a fairly general class of field configurations (of spins 0, 1/2 and 1) which preserve Lorentz invariance in effective field theories of Lorentz violation characterized by a constant timelike vector. These fields concomitantly satisfy the equations ... 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
Existence and coalescence of directed infinite geodesics in the percolation cone for Durrett-Liggett class of measuresMay 01 2017Jul 11 2017For first passage percolation (FPP) on integer lattice with i.i.d. passage time distributions, in order to show existence of semi-infinite geodesics along a fixed direction, one requires unproven assumptions on the limiting shape. We consider FPP on two-dimensional ... 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
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
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
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
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
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
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.
Thermodynamic implications of the gravitationally induced particle creation scenarioApr 01 2016A rigorous thermodynamic analysis has been done at the apparent horizon of a spatially flat Friedmann-Lemaitre-Robertson-Walker universe for the gravitationally induced particle creation scenario with constant specific entropy and an arbitrary particle ... 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
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
Zero-Sum Stochastic Games with Partial Information and Average PayoffSep 14 2014We consider discrete time partially observable zero-sum stochastic game with average payoff criterion. We study the game using an equivalent completely observable game. We show that the game has a value and also we come up with a pair of optimal strategies ... More
Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficientsJun 25 2011Jan 21 2012We prove that a Siegel cusp form of degree 2 for the full modular group is determined by its set of Fourier coefficients a(S) with 4 det(S) ranging over odd squarefree integers. As a key step to our result, we also prove that a classical cusp form of ... More
On open book embedding of contact manifolds in the standard contact sphereNov 18 2018Nov 21 2018We prove some open book embedding results in the contact category. For example, we show that a large class of contact 3-manifolds admit contact open book embedding in the standard contact 5- sphere. We also prove that all the Ustilovsky (4m + 1)-spheres ... More
Low frequency m=1 normal mode oscillations of a self-gravitating discMar 04 2008A continuous system such as a galactic disc is shown to be well approximated by an N-ring differentially rotating self-gravitating system. Lowest order (m=1) non-axisymmetric features such as lopsidedness and warps are global in nature and quite common ... More
Millennial-scale stable oscillations between sea ice and convective deep water formationMar 11 2015During the last ice age there were several quasi-periodic abrupt warming events. The climatic effects of the so-called Dansgaard-Oeschger (DO) events were felt globally, although the North Atlantic experienced the largest and most abrupt temperature anomalies. ... More
Cosmological thermodynamics with Hawking temperature on the apparent horizon and Unruh temperature of the fluid: Some interesting consequencesJun 08 2016Jul 14 2016Thermodynamics on the cosmological apparent horizon of a flat Friedmann-Lemaitre-Robertson-Walker metric has been investigated with Bekenstein entropy and Hawking temperature on the horizon, and Unruh temperature for the fluid inside the horizon. This ... More
Search for New Physics in Rare Top DecaysNov 27 2014Top physics provides a fertile ground for new-physics searches. At present, most top observables appear to be in good agreement with the respective Standard Model predictions. However, in the case of decay modes that are suppressed in the Standard Model, ... More
A method for comparing discrete kinematic data and N-body simulationsNov 22 1997This paper describes a method for quantitatively comparing an N-body model with a sample of discrete kinematic data. The comparison has two stages: (i) finding the optimum scaling and orientation of the model relative to the data; and (ii) calculating ... More
Cup-product for Hom-Leibniz cohomologyMar 10 2019We define a cup-product for Hom-Leibniz cohomology and show that the cup-product satisfies a graded Hom-zinbiel type relation.
The large D Membrane Paradigm For Einstein-Gauss-Bonnet GravityJun 13 2018Dec 28 2018We find the equations of motion of membranes dual to the black holes in Einstein-Gauss-Bonnet (EGB) gravity to leading order in 1/D in the large D regime. We also find the metric solutions to the EGB equations to first subleading order in 1/D in terms ... More
Lift of Frobenius and Descent to ConstantsMar 19 2017Apr 19 2017In differential algebra, a proper scheme $X$ defined over an algebraically closed field $K$ with a derivation $\partial$ on it descends to the field of constants $K^\partial$ if $X$ itself lifts the derivation $\partial$. This is a result by A. Buium. ... More
Aspects of Symmetries in Field and String TheoriesSep 22 2009The focus of the present thesis is on the analysis of gauge symmetry and its various impacts on gauge theories. In the first part of this thesis, we have studied different aspects of symmetries in connection with various field and string theoretic models. ... More
Pullbacks of Eisenstein series from GU(3,3) and critical L-values for GSp(4) X GL(2)Apr 25 2009Oct 02 2009Let F be a genus two Siegel newform and g a classical newform, both of squarefree levels and of equal weight l. We prove a pullback formula for certain Eisenstein series -- thus generalizing a construction of Shimura -- and use this to derive an explicit ... 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
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