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Chains of Reasoning over Entities, Relations, and Text using Recurrent Neural NetworksJul 05 2016Our goal is to combine the rich multi-step inference of symbolic logical reasoning together with the generalization capabilities of vector embeddings and neural networks. We are particularly interested in complex reasoning about the entities and relations ... More

Weaver: Deep Co-Encoding of Questions and Documents for Machine ReadingApr 27 2018This paper aims at improving how machines can answer questions directly from text, with the focus of having models that can answer correctly multiple types of questions and from various types of texts, documents or even from large collections of them. ... More

Improving Photoplethysmographic Measurements under Motion Artifacts using Artificial Neural Network for Personal HealthcareJul 14 2018Photoplethysmographic (PPG) measurements are susceptible to motion artifacts (MA) due to movement of the peripheral body parts. In this paper, we present a new approach to identify the MA corrupted PPG beats and then rectify the beat morphology using ... More

A Survey on Semantic ParsingDec 03 2018Dec 10 2018A significant amount of information in today's world is stored in structured and semi-structured knowledge bases. Efficient and simple methods to query these databases are essential and must not be restricted to only those who have expertise in formal ... More

The Evolutionary Design of Collective Computation in Cellular AutomataSep 08 1998We investigate the ability of a genetic algorithm to design cellular automata that perform computations. The computational strategies of the resulting cellular automata can be understood using a framework in which ``particles'' embedded in space-time ... More

Chains of Reasoning over Entities, Relations, and Text using Recurrent Neural NetworksJul 05 2016May 01 2017Our goal is to combine the rich multistep inference of symbolic logical reasoning with the generalization capabilities of neural networks. We are particularly interested in complex reasoning about entities and relations in text and large-scale knowledge ... More

Building Dynamic Knowledge Graphs from Text using Machine Reading ComprehensionOct 12 2018We propose a neural machine-reading model that constructs dynamic knowledge graphs from procedural text. It builds these graphs recurrently for each step of the described procedure, and uses them to track the evolving states of participant entities. We ... More

Question Answering on Knowledge Bases and Text using Universal Schema and Memory NetworksApr 27 2017Existing question answering methods infer answers either from a knowledge base or from raw text. While knowledge base (KB) methods are good at answering compositional questions, their performance is often affected by the incompleteness of the KB. Au contraire, ... More

Multi-step Retriever-Reader Interaction for Scalable Open-domain Question AnsweringMay 14 2019This paper introduces a new framework for open-domain question answering in which the retriever and the reader iteratively interact with each other. The framework is agnostic to the architecture of the machine reading model, only requiring access to the ... More

Chains of Reasoning over Entities, Relations, and Text using Recurrent Neural NetworksJul 05 2016Oct 13 2016Our goal is to combine the rich multistep inference of symbolic logical reasoning with the generalization capabilities of neural networks. We are particularly interested in complex reasoning about entities and relations in text and large-scale knowledge ... More

Entropy scaling and thermalization in hadron-hadron collisions at LHCApr 15 2011The recent LHC data have once more brought the issue of the formation of thermalized state of matter in hadron-hadron collisions into the forefront. In this letter, we have shown that the scaling of the information entropy of the chaotically produced ... More

Entropy scaling from chaotically produced particles in p-p collisions at LHC energiesApr 22 2013Scaling of information entropy obtained from chaotically produced particles in p-p collisions, has been shown to be valid up to the highest available collision energy at LHC. Results from Monte Carlo simulation model PYTHIA 6.135 have also been compared. ... More

Internal friction can be measured with the Jarzynski equalityApr 16 2019A simple protocol for the extraction of the internal friction coefficient of polymers is presented. The proposed scheme necessitates repeatedly stretching the polymer molecule, and measuring the average work dissipated in the process by applying the Jarzynski ... More

Global Testing Against Sparse Alternatives under Ising ModelsNov 24 2016In this paper, we study the effect of dependence on detecting sparse signals. In particular, we focus on global testing against sparse alternatives for the means of binary outcomes following an Ising model, and establish how the interplay between the ... More

Go for a Walk and Arrive at the Answer: Reasoning Over Paths in Knowledge Bases using Reinforcement LearningNov 15 2017Dec 30 2018Knowledge bases (KB), both automatically and manually constructed, are often incomplete --- many valid facts can be inferred from the KB by synthesizing existing information. A popular approach to KB completion is to infer new relations by combinatory ... More

Fluctuations and correlations of conserved charges in an excluded volume hadron resonance gas modelOct 10 2013Sep 18 2014We present temperature ($T$) and baryonic chemical potential ($\mu_B$) dependence of higher order fluctuations and correlation between conserved charges in Excluded Volume Hadron Resonance Gas (EVHRG) model. Products of moments, such as ratio of variance ... More

Net Charge Fluctuations as a signal of QGP from Polyakov-Nambu-Jona-Lasinio modelDec 25 2012We report the first model study of the net charge fluctuations in terms of D-measure within the framework of the Polyakov-Nambu-Jona-Lasinio model. Net charge fluctuation is estimated from the charge susceptibility evaluated using PNJL model. A parameterization ... More

Centrality dependence of chemical freeze-out parameters from net-proton and net-charge fluctuations using hadron resonance gas modelSep 17 2016We extract chemical freeze-out parameters in HRG and EVHRG model, analysing the experimental information of net-proton and net-charge fluctuations measured in Au + Au collisions by the STAR collaboration at RHIC. We observe that chemical freeze-out parameters ... More

Centrality dependence of chemical freeze-out parameters from net-proton and net-charge fluctuations using hadron resonance gas modelSep 17 2016Jul 08 2017We estimate chemical freeze-out parameters in HRG and EVHRG model by fitting the experimental information of net-proton and net-charge fluctuations measured in Au + Au collisions by the STAR collaboration at RHIC. We observe that chemical freeze-out parameters ... More

Cooperative Negotiation in Autonomic Systems using Incremental Utility ElicitationOct 19 2012Decentralized resource allocation is a key problem for large-scale autonomic (or self-managing) computing systems. Motivated by a data center scenario, we explore efficient techniques for resolving resource conflicts via cooperative negotiation. Rather ... More

Dynamics of end to end loop formation for an isolated chain in viscoelastic fluidApr 04 2012We theoretically investigate the looping dynamics of a linear polymer immersed in a viscoelastic fluid. The dynamics of the chain is governed by a Rouse model with a fractional memory kernel recently proposed by Weber et al. (S. C. Weber, J. A. Theriot, ... More

Transient State Work Fluctuation Theorem for a Driven Classical SystemFeb 03 2008We derive the nonequilibrium transient state work fluctuation theorem and also the Jarzynski equality for a classical harmonic oscillator linearly coupled to a harmonic heat bath, which is dragged by an external agent. Coupling with the bath makes the ... More

Exact analytical evaluation of time dependent transmission coefficient from the method of reactive flux for an inverted parabolic barrierJan 05 2007Jan 14 2007In this paper we derive a general expression for the transmission coefficient using the method of reactive flux for a particle coupled to a harmonic bath surmounting a one dimensional inverted parabolic barrier. Unlike Kohen and Tannor [J. Chem. Phys. ... More

Dynamics of diffusion controlled chain closure: flexible chain in presence of hydrodynamic interactionMay 04 2011Based on the Wilemski-Fixman approach (J. Chem. Phys. 60, 866 (1974)) we showed that for a flexible chain in theta solvent hydrodynamic interaction treated with an pre-averaging approximation makes ring closing faster if the chain is not very short. Only ... More

Bubble dynamics in double stranded DNA : A Rouse chain based approachOct 26 2010We propose a model for the fluctuation dynamics of the local denaturation zones (bubbles) in double-stranded DNA. In our formulation, the DNA strand is model as a one dimensional Rouse chain confined at both the ends. The bubble is formed when the transverse ... More

Stochastic Resonance in Underdamped, Bistable SystemsJun 17 2005We carry out a detailed numerical investigation of stochastic resonance in underdamped systems in the non-perturbative regime. We point out that an important distinction between stochastic resonance in overdamped and underdamped systems lies in the lack ... More

Chain reconfiguration in active noiseDec 13 2015In a typical single molecule experiment, dynamics of an unfolded proteins is studied by determining the reconfiguration time using long-range Forster resonance energy transfer where the reconfiguration time is the characteristic decay time of the position ... More

Entangling power of time-evolution operators in integrable and nonintegrable many-body systemsMay 29 2018The entangling power and operator entanglement entropy are state independent measures of entanglement. Their growth and saturation is examined in the time-evolution operator of quantum many-body systems that can range from the integrable to the fully ... More

Simultaneous Solving of Batched Linear Programs on a GPUFeb 21 2018Linear Programs (LPs) appear in a large number of applications and offloading them to a GPU is viable to gain performance. Existing work on offloading and solving an LP on a GPU suggests that there is performance gain generally on large sized LPs (typically ... More

An Efficient Algorithm for Vertex Enumeration of Two-Dimensional Projection of PolytopesNov 30 2016An efficient algorithm to enumerate the vertices of a two-dimensional (2D) projection of a polytope, is presented in this paper. The proposed algorithm uses the support function of the polytope to be projected and enumerated for vertices. The complexity ... More

Optimal Adaptive Inference in Random Design Binary RegressionDec 10 2015Aug 02 2016We construct confidence sets for the regression function in nonparametric binary regression with an unknown design density. These confidence sets are adaptive in $L^2$ loss over a continuous class of Sobolev type spaces. Adaptation holds in the smoothness ... More

Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativityDec 22 2017Mar 20 2018We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving LOCC under the assumption that the parties do not share prior ... More

Looping dynamics of flexible chain with internal friction at different degree of compactnessFeb 11 2015Recently single molecule experiments have shown the importance of internal friction in biopolymer dynamics. Such studies also suggested that the internal friction although independent of solvent viscosity has strong dependence on denaturant concentration. ... More

Asymptotic Normality of Scrambled Geometric Net QuadratureJan 21 2016Apr 27 2016In a very recent work, Basu and Owen (2015) propose the use of scrambled geometric nets in numerical integration when the domain is a product of $s$ arbitrary spaces of dimension $d$ having a certain partitioning constraint. It was shown that for a class ... More

Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy productionMay 21 2019We consider a colloidal particle immersed in an active bath and derive a Smoluchowski equation that governs the dynamics of colloidal particle. We address this as active Smoluchowski equation. Our analysis based on this active Smoluchowski equation shows ... More

A Systematic Classification of Knowledge, Reasoning, and Context within the ARC DatasetJun 01 2018Feb 04 2019The recent work of Clark et al. introduces the AI2 Reasoning Challenge (ARC) and the associated ARC dataset that partitions open domain, complex science questions into an Easy Set and a Challenge Set. That paper includes an analysis of 100 questions with ... More

Stochastic Production Of Kink-Antikink Pairs In The Presence Of An Oscillating BackgroundNov 12 2001Dec 14 2001We numerically investigate the production of kink-antikink pairs in a $(1+1)$ dimensional $\phi^4$ field theory subject to white noise and periodic driving. The twin effects of noise and periodic driving acting in conjunction lead to considerable enhancement ... More

Orbital phase transition in 2-d pyrochloreApr 05 2016Mar 29 2017We present here correlation driven orbital Mott transition in 2 dimensional pyrochlore lattice. We study a model Hamiltonian in which we take Hund's coupling between itinerant and localized electrons apart from the coulomb interaction. In the weak coupling ... More

Mott Transition and Glassiness in the Face Centered Cubic LatticeFeb 12 2013We study the half-filled Hubbard model on the geometrically frustrated face centered cubic (FCC) lattice, using an auxiliary field based real space technique. The low temperature state is a paramagnetic metal at weak interaction, an antiferromagnetic ... More

Non-collinear Magnetic Order in the Double Perovskites: Double Exchange on a Geometrically Frustrated LatticeMay 01 2011May 03 2011Double perovskites of the form A_2BB'O_6 usually involve a transition metal ion, B, with a large magnetic moment, and a non magnetic ion B'. While many double perovskites are ferromagnetic, studies on the underlying model reveal the possibility of antiferromagnetic ... More

Testing Degree Corrections in Stochastic Block ModelsMay 22 2017We study sharp detection thresholds for degree corrections in Stochastic Block Models in the context of a goodness of fit problem. When degree corrections are relatively dense, a simple test based on the total number of edges is asymptotically optimal. ... More

Reconfiguration Dynamics in folded and intrinsically disordered protein with internal friction: Effect of solvent quality and denaturantJun 01 2015We consider a phantom chain model of polymer with internal friction in a harmonic confinement and extend it to take care of effects of solvent quality following a mean field approach where an exponent $\nu$ is introduced. The model termed as "Solvent ... More

Entropy production and work fluctuation relations for a single particle in active bathSep 25 2017Jul 31 2018A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising from the active ... More

Large Multi-scale Spatial Kriging Using Tree Shrinkage PriorsMar 30 2018We develop a multiscale spatial kernel convolution technique with higher order functions to capture fine scale local features and lower order terms to capture large scale features. To achieve parsimony, the coefficients in the multiscale kernel convolution ... More

The Crossover from a Bad Metal to a Frustrated Mott InsulatorJan 21 2013We use a novel Monte Carlo method to study the Mott transition in an anisotropic triangular lattice. The real space approach, retaining extended spatial correlations, allows an accurate treatment of non trivial magnetic fluctuations in this frustrated ... More

Solving Batched Linear Programs on GPU and Multicore CPUSep 26 2016Linear Programs (LPs) appear in a large number of applications and offloading them to the GPU is viable to gain performance. Existing work on offloading and solving an LP on GPU suggests that performance is gained from large sized LPs (typically 500 constraints, ... More

On Efficiency of the Plug-in Principle for Estimating Smooth Integrated Functionals of a Nonincreasing DensityAug 23 2018Apr 14 2019We consider the problem of estimating smooth integrated functionals of a monotone nonincreasing density $f$ on $[0,\infty)$ using the nonparametric maximum likelihood based plug-in estimator. We find the exact asymptotic distribution of this natural (tuning ... More

Enhanced diffusion, swelling and slow reconfiguration of a single chain in non-Gaussian active bathNov 15 2018A prime example of non-equilibrium or active environment is a biological cell. In order to understand in-vivo functioning of biomolecules such as proteins, chromatins, a description beyond equilibrium is absolutely necessary. In this context, biomolecules ... More

Tracer diffusion in a sea of polymers with binding zones: mobile vs frozen trapsSep 16 2016We use molecular dynamics simulations to investigate the tracer diffusion in a sea of polymers with specific binding zones for the tracer. These binding zones act as traps. Our simulations show that the tracer can undergo normal yet non-Gaussian diffusion ... More

Effect of Human Learning on the Transient Performance of Cloud-based Tiered ApplicationsAug 27 2016Cloud based tiered applications are increasingly becoming popular, be it on phones or on desktops. End users of these applications range from novice to expert depending on how experienced they are in using them. With repeated usage (practice) of an application, ... More

Various Non-autonomous Notions for Borel MeasuresJun 13 2018We introduce and investigate the notions of expansiveness, topological stability and persistence for Borel measures with respect to time varying bi-measurable maps on metric spaces. We prove that expansive persistent measures are topologically stable ... More

Stability Theorems for Group Actions on Uniform SpacesFeb 18 2018May 24 2018We extend the notions of topological stability, shadowing and persistence from homeomorphisms to finitely generated group actions on uniform spaces and prove that an expansive action with either shadowing or persistence is topologically stable. Using ... More

Generating Fine-Grained Open Vocabulary Entity Type DescriptionsMay 27 2018While large-scale knowledge graphs provide vast amounts of structured facts about entities, a short textual description can often be useful to succinctly characterize an entity and its type. Unfortunately, many knowledge graph entities lack such textual ... More

Performance Analysis of Ultra Wideband Receivers for High Data Rate Wireless Personal Area Network SystemMar 18 2010For high data rate ultra wideband communication system, performance comparison of Rake, MMSE and Rake-MMSE receivers is attempted in this paper. Further a detail study on Rake-MMSE time domain equalizers is carried out taking into account all the important ... More

Measuring Cosmic Defect Correlations in Liquid CrystalsOct 12 2001Nov 15 2001From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined in terms of ... More

Bayesian Compressed RegressionMar 04 2013Mar 22 2013As an alternative to variable selection or shrinkage in high dimensional regression, we propose to randomly compress the predictors prior to analysis. This dramatically reduces storage and computational bottlenecks, performing well when the predictors ... More

Isochronal synchrony and bidirectional communication with delay-coupled nonlinear oscillatorsOct 10 2006We propose a basic mechanism for isochronal synchrony and communication with mutually delay-coupled chaotic systems. We show that two Ikeda ring oscillators (IROs), mutually coupled with a propagation delay, synchronize isochronally when both are symmetrically ... More

Be Concise and Precise: Synthesizing Open-Domain Entity Descriptions from FactsApr 16 2019Despite being vast repositories of factual information, cross-domain knowledge graphs, such as Wikidata and the Google Knowledge Graph, only sparsely provide short synoptic descriptions for entities. Such descriptions that briefly identify the most discernible ... More

Compressed Gaussian ProcessJun 07 2014Nonparametric regression for massive numbers of samples (n) and features (p) is an increasingly important problem. In big n settings, a common strategy is to partition the feature space, and then separately apply simple models to each partition set. We ... More

Positive feedback produces broad distributions in maximum activation attained within a narrow time window in stochastic biochemical reactionsDec 08 2012How do single cell fate decisions induced by activation of key signaling proteins above threshold concentrations within a time interval are affected by stochastic fluctuations in biochemical reactions? We address this question using minimal models of ... More

Identified particle production and freeze-out properties in heavy-ion collisions at RHIC Beam Energy Scan programDec 01 2014The first phase of Beam Energy Scan (BES) program at the Relativistic Heavy-Ion Collider (RHIC) was started in the year 2010 with the aim to study the several aspects of the quantum chromodynamics (QCD) phase diagram. The Solenoidal Tracker At RHIC (STAR) ... More

Tunneling Through a One-Dimensional Piece Wise Constant Potential BarrierApr 03 2014Sep 29 2014In this paper we look at transmission through one-dimensional potential barriers that are piece wise constant. The Transfer Matrix approach is adopted and a new formula is derived for multiplying long matrix sequences that not only leads to an elegant ... More

Machian gravity and a cosmology without dark matter and dark energyMay 17 2012Apr 10 2015The standard model of cosmology is based on the general theory of relativity and demands more than 95\% of the universe to consist of dark matter and dark energy that has no direct observational evidence till date. The foundation of the concept these ... More

Primordial non-Gaussianity as a signature of pre-inflationary radiation eraFeb 01 2013Primordial non-Gaussianity generated in an inflationary model where inflation is preceded by a radiation era is discussed. It is shown that both bispectrum and trispectrum non-Gaussianities are enhanced due to the presence of pre-inflationary radiation ... More

Eikonal Approach to Planck Scale PhysicsJul 01 1996We consider gravitational scattering of point particles with Planckian centre-of-mass energy and fixed low momentum transfers in the framework of general relativity and dilaton gravity. The geometry around the particles are modelled by arbitrary black ... More

Cohomology of the universal smooth cubic surfaceFeb 02 2019We compute the rational cohomology of the universal family of smooth cubic surfaces using Vassiliev's method of simplicial resolution. Modulo embedding, the universal family has cohomology isomorphic to that of $\mathbb{P}^2$. A consequence of our theorem ... More

A Framework for Conscious Information ProcessingFeb 15 2007Aug 04 2008This paper exploits the fact that the variability in the inter-spike intervals, in the spike train issuing from a neuron, carries substantial information regarding the input to the neuron. A framework for neuronal information processing is proposed which ... More

Simultaneous Localization and Mapping (SLAM) using RTAB-MAPSep 09 2018This paper implements Simultaneous Localization and Mapping (SLAM) technique to construct a map of a given environment. A Real Time Appearance Based Mapping (RTAB-Map) approach was taken for accomplishing this task. Initially, a 2d occupancy grid and ... More

Shadowing in the low energy photonuclear reactionDec 21 2017The photonuclear reaction in the multi-GeV region occurs because of the electromagnetic and hadronic interaction. The later originates due to the hadronic fluctuation, i.e., vector meson, of the photon. The total cross section of the reaction is shadowed ... More

Modification of $Δ(1232)$ in the neutrino nucleus reactionDec 21 2017The remarkable observations in the pion induced and charge exchange reactions on a nucleus are the significant shift and broadening of the $\Delta (1232)$-peak relative to free pion nucleon scattering. For the forward going massless leptons, the weak ... More

Reply to "Comment on `Quantum Raychaudhuri Equation'"Feb 17 2017Mar 06 2017The above comment [E. I. Lashin, D. Dou, arXiv:1606.04738] claims that the paper "Quantum Raychaudhuri Equation" by S. Das, Phys. Rev. D89 (2014) 084068 [arXiv:1404.3093] has "problematic points" with regards to its derivation and implications. We show ... More

Nodeless superconducting gap induced by a competing odd-parity Fulde-Ferrel-Larkin-Ovchinnikov superconductivity in deeply underdoped cupratesDec 02 2013May 29 2014We develop a microscopic theory to show that the transition from an antiferromagnetic (AFM) phase to $d_{x^2-y^2}$-wave superconductivity occurs through the robust companion of a triplet superconductivity. More interestingly, the symmetry combination ... More

Recursive Modified Pattern Search on High-dimensional Simplex : A Blackbox Optimization TechniqueApr 28 2016Jan 31 2019In this paper, a novel derivative-free pattern search based algorithm for Black-box optimization is proposed over a simplex constrained parameter space. At each iteration, starting from the current solution, new possible set of solutions are found by ... More

Deformations of Loday-type algebras and their morphismsApr 28 2019We study a formal deformation of multiplications in an operad. This closely resemble Gerstenhaber's deformation theory for associative algebras. However, this is applicable to various Loday-type algebras and to their twisted analogues. We explicitly describe ... More

The Operator System Generated by Cuntz IsometriesOct 25 2014Apr 10 2015In this paper we consider the operator system $\cl{S}_n$ generated by $n$ Cuntz isometries, i.e. the span of the generators of the Cuntz algebra $\cl{O}_n$ together with their adjoints and the identity. We define an operator subsystem $\cl{E}_n\subseteq ... More

Deformations of Loday-type algebras and their morphismsApr 28 2019May 03 2019We study a formal deformation of multiplications in an operad. This closely resemble Gerstenhaber's deformation theory for associative algebras. However, this is applicable to various Loday-type algebras and to their twisted analogues. We explicitly describe ... More

On the logical complexity of cyclic arithmeticJul 26 2018Sep 11 2018We study the logical complexity of proofs in cyclic arithmetic ($\mathsf{CA}$), as introduced in Simpson '17, in terms of quantifier alternations of formulae occurring. Writing $C\Sigma_n$ for (the logical consequences of) cyclic proofs containing only ... More

Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental BosonsFeb 21 2018Feb 26 2018Here we study the Renormalization group flow of $SU(N)\times U(1)$ gauge theory with $M$-fundamental bosons in $4-\epsilon$ dimension by calculating the beta functions. We found a new stable fixed point in the zero mass plane for $M>M_\text{crit}$ by ... More

Poisson-Nijenhuis groupoidsSep 24 2017We define multiplicative Poisson-Nijenhuis structures on a Lie groupoid which extends the notion of symplectic-Nijenhuis groupoid introduced by Sti\'e23non and Xu. We also introduce a special class of Lie bialgebroid structure on a Lie algebroid $A$, ... More

Searching for the minimal Seesaw models at the LHC and beyondMar 29 2018The existence of the tiny neutrino mass and the flavor mixing can be naturally explained by type-I Seesaw model which is probably the simplest extension of the Standard Model (SM) using Majorana type SM gauge singlet heavy Right Handed Neutrinos (RHNs). ... More

An analytic derivation of the variance for the Abelian distributionFeb 16 2016The Abelian distribution has been studied recently in models for neural avalanches. This paper uncovers new properties about the moments of the distribution, ways in which these properties can be useful are indicated.

Measurement of W boson Helicity in Top Quark DecayOct 13 2011We present a measurement of the helicity of the W boson produced in top quark decays using \ttbar ~decays in the $\ell+$jets and dilepton final states selected from a sample of 5.4 fb$^{-1}$ of collisions recorded using the D0 detector at the Fermilab ... More

Discrete phase space - III: The Divergence-free S-matrix elementsNov 06 2008In the arena of the discrete phase space and continuous time, the theory of S-marix is formulated. In the special case of Quantum-Electrodynamics (QED), the Feynman rules are precisely developed. These rules in the fourmomentum turn out to be identical ... More

Finite Temperature and Large Gauge InvarianceMay 04 2000We discuss the problem of large gauge invariance at finite temperature.

Lightfront Hamiltonian Structures for the Nonlinear Sigma ModelFeb 27 1998Mar 10 1998We derive the Dirac brackets for the O(N) nonlinear sigma model in the lightfront description with and without the constraint. We bring out various subtleties that arise including the fact that anti-periodic boundary condition seems to be preferred.

Selected topics in integrable modelsOct 15 2001In these talks, I discuss a few selected topics in integrable models that are of interest from various points of view. Some open questions are also described.

Topics in Finite Temperature Field TheoryApr 13 2000We discuss a few selected topics in finite temperature field theory.

Invariance of conformal dimension under $L^p$-OE for hyperbolic coxeter groups with CLPOct 14 2018Nov 02 2018Conformal dimension is one of the important geometric quantities attached to a metric space. It is well known that if two Gromov hyperbolic groups are quasi-isometric, then conformal dimensions (of the canonical conformal gauge) of their Gromov boundaries ... More

Genus of The Hypercube Graph And Real Moment-Angle ComplexesJun 26 2018Apr 03 2019In this paper we demonstrate a calculation to find the genus of the hypercube graph $Q_n$ using real moment-angle complex $\mathcal{Z}_\mathcal{K}(D^1,S^0)$ where $\mathcal{K}$ is the boundary of an $n$-gon. We also calculate an upper bound for the genus ... More

Multiplicative Nambu structures on Lie groupoidsNov 05 2016We study some properties of coisotropic submanifolds of a manifold with respect to a given multivector field. Using this notion, we generalize the results of Weinstein \cite{wein} from Poisson bivector field to Nambu-Poisson tensor or more generally to ... More

SI Toolbox - Full documentationFeb 06 2019I Toolbox is a package for estimating the isotropy violation in the CMB sky. It ca be used for estimating the BipoSH coefficients, Dipole modulation, and Doppler boost parameters etc. Different Fortran subroutines, provided with this package, can help ... More

Imprints of spin-orbit density wave in the hidden order state of URu2Si2Aug 08 2013Jan 22 2014The mysterious second order quantum phase transition, commonly attributed to the `hidden-order' (HO) state, in heavy-fermion metal URu2Si2 exhibits a number of paradoxical electronic and magnetic properties which cannot be associated with any conventional ... More

Spin-orbit density wave induced hidden topological order in URu2Si2Jan 11 2012Aug 23 2012The conventional order parameters in quantum matters are often characterized by 'spontaneous' broken symmetries. However, sometimes the broken symmetries may blend with the invariant symmetries to lead to mysterious emergent phases. The heavy fermion ... More

Treatment of $N$-dimensional Schrödinger equation for anharmonic potential via Laplace transformAug 25 2014Oct 29 2015First time anharmonic potential $V(r)=ar^2+br-\frac{c}{r} \,,(a>0) $ is examined for $N$-dimensional Schr\"{o}dinger equation via Laplace transformation method. In transformed space, the behavior of the Laplace transform at the singular point of the differential ... More

Weyl semimetals and superconductors designed in an orbital selective superlatticeJul 14 2013Jul 30 2013We propose two complementary design principles for engineering three-dimensional (3D) Weyl semimetals and superconductors in a layer-by-layer setup which includes even and odd parity orbitals in alternating layers - dubbed orbital selective superlattice. ... More

Discerning electronic fingerprints of nodal and antinodal nestings and their phase coherences in doped cuprate superconductorsFeb 01 2013The complexity of competing orders in cuprates has recently been multiplied by a number of bulk evidences of charge ordering with wavevector that connects the antinodal region of the Fermi surface. This results contradicts many spectroscopic results of ... More

Electron-like Fermi surface and in-plane anisotropy due to chain states in YBa$_2$Cu$_3$O$_{7-δ}$ superconductorsAug 09 2012We present magneto-transport calculations for YBa$_2$Cu$_3$O$_{7-\delta}$ (YBCO) materials to show that the electron-like metallic chain state gives both the negative Hall effect and in-plane anisotropic large Nernst signal. We show that the inevitable ... More

Pairing symmetries of several families of iron-based superconductors and some similarities with cuprates and heavy-fermionsDec 05 2011We show that, by using unit-cell transformation between 1 Fe per unit cell to 2 Fe per unit cell, one can qualitatively understand the pairing symmetry of several families of iron-based superconductors. In iron-pnictides and iron-chalcogenides, the nodeless ... More

On the possibility of mixed phases in disordered quantum paraelectricsApr 09 2011Aug 29 2014We present a theory of phase transition in quantum critical paraelectrics in presence of quenched random-Tc disorder using replica trick. The effects of disorder induced locally ordered regions and their slow dynamics are included by breaking the replica ... More

Cactus Graphs and Some AlgorithmsAug 18 2014A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we consider several problems of graph theory and developed optimal algorithms to solve such problems on cactus graphs. The running time of these algorithms ... More