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Mind the Gap: Analyzing the Performance of WebAssembly vs. Native CodeJan 25 2019All major web browsers now support WebAssembly, a low-level bytecode intended to serve as a compilation target for code written in languages like C and C++. A key goal of WebAssembly is performance parity with native code; previous work reports near parity, ... More

The Essence of JavaScriptOct 04 2015We reduce JavaScript to a core calculus structured as a small-step operational semantics. We present several peculiarities of the language and show that our calculus models them. We explicate the desugaring process that turns JavaScript programs into ... More

Tortoise: Interactive System Configuration RepairSep 15 2017System configuration languages provide powerful abstractions that simplify managing large-scale, networked systems. Thousands of organizations now use configuration languages, such as Puppet. However, specifications written in configuration languages ... More

Interactive Robot Transition Repair With SMTFeb 05 2018May 05 2018Complex robot behaviors are often structured as state machines, where states encapsulate actions and a transition function switches between states. Since transitions depend on physical parameters, when the environment changes, a roboticist has to painstakingly ... More

Rehearsal: A Configuration Verification Tool for PuppetSep 17 2015May 17 2016Large-scale data centers and cloud computing have turned system configuration into a challenging problem. Several widely-publicized outages have been blamed not on software bugs, but on configuration bugs. To cope, thousands of organizations use system ... More

Knowledge Aggregation via Good-Enough Model SpacesMay 20 2018Oct 03 2018In many practical applications, the training data for a machine learning task is partitioned across multiple learners. In many such cases, aggregating all the data onto a single device for model training may not be possible for privacy and communications ... More

Semantic Identification of Web Browsing SessionsApr 11 2017We introduce a semantic identification attack, in which an adversary uses semantic signals about the pages visited in one browsing session to identify other browsing sessions launched by the same user. Current user fingerprinting methods fail when a single ... More

Semantic Identification Attacks on Web BrowsingOct 28 2016We introduce a Semantic Identification Attack, in which an adversary uses semantic signals about the pages visited in one browsing session to identify other browsing sessions launched by the same user. This attack allows an adver- sary to determine if ... More

Higher-dimensional Embedding of Four-dimensional Hypersurfaces: Chronological Development of Co-dimension-1 EmbeddingSep 19 2008Sep 20 2008Here we present an overview of the work done over the years on the embedding of hypersurfaces in a space of higher dimension, with particular reference to the embedding of four-dimensional hypersurfaces in five-dimensional space-times. The concept of ... More

ADsafety: Type-Based Verification of JavaScript SandboxingJun 25 2015Web sites routinely incorporate JavaScript programs from several sources into a single page. These sources must be protected from one another, which requires robust sandboxing. The many entry-points of sandboxes and the subtleties of JavaScript demand ... More

A Fast Compiler for NetKATJun 21 2015Jun 24 2015High-level programming languages play a key role in a growing number of networking platforms, streamlining application development and enabling precise formal reasoning about network behavior. Unfortunately, current compilers only handle "local" programs ... More

Generalizing the Kelly strategyNov 28 2016Nov 29 2016Prompted by a recent experiment by Victor Haghani and Richard Dewey, this note generalises the Kelly strategy (optimal for simple investment games with log utility) to a large class of practical utility functions and including the effect of extraneous ... More

Generalizing the Kelly strategyNov 28 2016Dec 06 2016Prompted by a recent experiment by Victor Haghani and Richard Dewey, this note generalises the Kelly strategy (optimal for simple investment games with log utility) to a large class of practical utility functions and including the effect of extraneous ... More

The Early History of Powerful Radio GalaxiesFeb 12 1998I briefly review the current status of observations of AGN-powered UV/optical light, starlight, dust and outflow phenomena in high-redshift powerful radio galaxies. The existing data are consistent with the hypothesis that powerful radio galaxies undergo ... More

The warm inflationary universeSep 24 2008In the past decade, the importance of dissipation and fluctuation to inflationary dynamics has been realized and has led to a new picture of inflation called warm inflation. Although these phenomena are common to condensed matter systems, for inflation ... More

Inflation in the warm and cold regimesApr 13 2006It is now understood that inflation dynamics comes in two forms, isentropic or cold inflation and nonisentropic or warm inflation. In the former, inflation occurs without radiation production, whereas in the latter both radiation production and inflation ... More

Dissipative Dynamics of InflationJun 27 2001Jan 11 2002Dissipative scalar quantum field theory is examined at zero temperature. Estimates of radiation production are given. Relevance of the results to supercooled and warm inflation are discussed.

Diffractive Factorization - a Simple Field Theory Model for $F_2^{diff}(βx_{\pom}, Q^2; x_{\pom},t)$Jun 26 1996Operator definitions of diffractive parton distribution functions are given. A distinction is made between the special case of ``Regge factorization'' to the general case of ``diffractive factorization'' with explicit expressions for $F_2^{diff}(\beta ... More

Factorization and Non-factorization in Diffractive Hard ScatteringJul 29 1997Factorization, in the sense defined for inclusive hard scattering, is discussed for diffractive hard scattering. A factorization theorem similar to its inclusive counterpart is presented for diffractive DIS. For hadron-hadron diffractive hard scattering, ... More

Extending SROIQ with Constraint Networks and Grounded CircumscriptionAug 01 2015Developments in semantic web technologies have promoted ontological encoding of knowledge from diverse domains. However, modelling many practical domains requires more expressiveness than what the standard description logics (most prominently SROIQ) support. ... More

Selective De-noising of Sparse-Coloured ImagesOct 29 2016Since time immemorial, noise has been a constant source of disturbance to the various entities known to mankind. Noise models of different kinds have been developed to study noise in more detailed fashion over the years. Image processing, particularly, ... More

Mind the Gap: Analyzing the Performance of WebAssembly vs. Native CodeJan 25 2019Apr 24 2019All major web browsers now support WebAssembly, a low-level bytecode intended to serve as a compilation target for code written in languages like C and C++. A key goal of WebAssembly is performance parity with native code; previous work reports near parity, ... More

Thermal Properties of an Inflationary UniverseJan 24 1996May 21 1996An energetic justification of a thermal component during inflation is given. The thermal component can act as a heat reservoir which induces thermal fluctuations on the inflaton field system. We showed previously that such thermal fluctuations could dominate ... More

Wave Function Properties in a High Energy ProcessNov 14 1994A model example is given of how properties of the hadronic light-cone wave function are revealed in a particular high energy process. The meson wave function is derived in scalar quark QCD. We apply it to compute the form of the cross section for lossless ... More

A Renormalization Group Approach to the Chiral TransitionJul 03 1994A methodology is given to test the QCD $N_f$=2 chiral transition, presently conjectured to be second order. Scaling forms for the correlation length, susceptibilities and equation of state are given which account for finite lattice spacing. Confirmation ... More

A Tale of Two Hard PomeronsOct 19 1999Mar 13 2000Two mechanisms are examined for hard double pomeron exchange dijet production, the factorized model of Ingelman-Schlein and the nonfactorized model of lossless jet production which exhibits the Collins-Frankfurt-Strikman mechanism. Comparison between ... More

Tensionless Strings and Galilean Conformal AlgebraMar 01 2013Mar 12 2013We find an intriguing link between the symmetries of the tensionless limit of closed string theory and the 2-dimensional Galilean Conformal Algebra (2d GCA). 2d GCA has been discussed in the context of the non-relativistic limit of AdS/CFT and more recently ... More

The BMS/GCA correspondenceJun 17 2010We find a surprising connection between asymptotically flat space-times and non-relativistic conformal systems in one lower dimension. The BMS group is the group of asymptotic isometries of flat Minkowski space at null infinity. This is known to be infinite ... More

Variational formula for the time-constant of first-passage percolationJun 04 2014We consider first-passage percolation with positive, stationary-ergodic weights on the square lattice $\mathbb{Z}^d$. Let $T(x)$ be the first-passage time from the origin to a point $x$ in $\mathbb{Z}^d$. The convergence of the scaled first-passage time ... More

Large transient states in quantum field theoryJan 10 2007Jul 05 2007A study is made of the scattering of two large composite projectiles, such as heavy ions, which are initially prepared in a pure quantum state. It is shown that the quantum field theoretic evolution equation for this system, under certain conditions, ... More

Warm Inflation in the Adiabatic Regime- a Model, an Existence Proof for Inflationary Dynamics in Quantum Field TheoryApr 20 1999Jun 27 2000Warm inflation is examined in a multi-field model. Solutions are obtained for expansion e-folds and scalar density perturbations. Nonequilibrium dynamics is restricted to a regime that is displaced only slightly from thermal equilibrium and in which all ... More

A Quantum Field Theory Warm Inflation ModelFeb 09 1999A quantum field theory warm inflation model is presented that solves the cosmological horizon/flatness problems. An interpretation of the model is given from supersymmetry and superstring theory.

A Property of Recombination in Polarized Hadronic TargetsNov 21 1994The triple gluon-ladder vertex is shown to project the outgoing gluon in either polarization state with equal probability up to the leading double-ln(x)ln($Q^2$) approximation. This implies that the $Q^2$-evolution of $\Delta G (x, Q^2)$ is free from ... More

Warm inflation solution to the eta-problemJan 19 2004Warm inflationary dynamics is shown to satisfy both the slow-roll and density perturbation constraints for $m_{\phi} \gg H$ or equivalently $\eta \gg 1$ and for inflaton field amplitudes much below the Planck scale, $<\phi > < m_{pl}$. I start by reviewing ... More

Warm InflationSep 08 1995Assuming a first order phase transition during inflation, a model scenario is described which does not require a tiny coupling constant. Thermal equilibrium is closely maintained as inflation commences. No large scale reheating is necessary. Solutions ... More

Second-Order Scaling in the Two-Flavor QCD Chiral TransitionSep 04 1994Scaling behavior is analyzed for the two-flavor QCD lattice gauge theory chiral transition. Leading scaling behavior and correction to leading scaling from lattice spacing effects are examined for the quark condensate. Scaling predictions under the assumption ... More

Inflationary cosmology, a dissipative quantum field theory processDec 10 2002The current status of early universe cosmology can be summarized as precision, but inherently limited, data requiring explanation from precision and robust theory. Specifically inflation is presently the single concrete hope for solving the early universe ... More

Jet Production Cross Section with Double Pomeron ExchangeMay 09 1997I will discuss hadron-hadron collisions where the final state is kinematically of the kind associated with double-pomeron-exchange (DPE) and has large transverse momentum jets. I will show that in addition to the conventional factorized (FDPE) contribution, ... More

Zorn's Lemma- An elementary proof under the Axiom of ChoiceJul 28 2012This article presents an elementary proof of Zorn's Lemma under the Axiom of Choice, simplifying and supplying necessary details in the original proof by Paul R. Halmos in his book, Naive Set Theory. Also provided, is a preamble to Zorn's Lemma, introducing ... More

Variational formula for the time-constant of first-passage percolationNov 01 2013Jun 03 2016We consider first-passage percolation with positive, stationary-ergodic weights on the square lattice $\mathbb{Z}^d$. Let $T(x)$ be the first-passage time from the origin to a point $x$ in $\mathbb{Z}^d$. The convergence of the scaled first-passage time ... More

Inhomogeneous Heisenberg Spin Chain and Quantum Vortex Filament as Non-Holonomically Deformed NLS SystemsMar 07 2017Jan 16 2018Through the Hasimoto map, various dynamical systems can be mapped to different integrodifferential generalizations of Nonlinear Schrodinger (NLS) family of equations some of which are known to be integrable. Two such continuum limits, corresponding to ... More

Overlay Text Extraction From TV News BroadcastApr 02 2016The text data present in overlaid bands convey brief descriptions of news events in broadcast videos. The process of text extraction becomes challenging as overlay text is presented in widely varying formats and often with animation effects. We note that ... More

On dynamics of velocity vector potential in incompressible fluidsMay 17 2007Sep 04 2007An elegant quaternionic formulation is given for the Lagrangian advection equation for velocity vector potential in fluid dynamics. At first we study the topological significance of a restricted conserved quantity viz., stream-helicity and later more ... More

Models of Gravity in Five-dimensional Warped Product SpactimesMay 18 2010In this paper, we have considered gravity in a 5-dimensional warped product space-time with a time-dependent warp factor, time-dependent extra dimension and a bulk cosmological constant. The braneworld is described by a spatially flat FRW-type metric. ... More

Five-dimensional bulk with a time-dependent warp factor and its consequences on brane cosmologyJun 21 2009Mar 12 2010In this paper, we have considered a 5-dimensional warped product space-time with a timedependent warp factor. The time-dependent warp factor plays an important role in localizing matter to the 4-dimensional hypersurface constituting the observed universe. ... More

A Nonparametric Bayesian Technique for High-Dimensional RegressionApr 12 2016This paper proposes a nonparametric Bayesian framework called VariScan for simultaneous clustering, variable selection, and prediction in high-throughput regression settings. Poisson-Dirichlet processes are utilized to detect lower-dimensional latent ... More

Sequential Design of Experiments via Linear ProgrammingMay 17 2008Jun 18 2013The celebrated multi-armed bandit problem in decision theory models the basic trade-off between exploration, or learning about the state of a system, and exploitation, or utilizing the system. In this paper we study the variant of the multi-armed bandit ... More

Approximation algorithms for wavelet transform coding of data streamsApr 25 2006Jul 22 2007This paper addresses the problem of finding a B-term wavelet representation of a given discrete function $f \in \real^n$ whose distance from f is minimized. The problem is well understood when we seek to minimize the Euclidean distance between f and its ... More

Gaussian Random Functional Dynamic Spatio-Temporal Modeling of Discrete Time Spatial Time Series DataMay 26 2014Aug 24 2017Discrete time spatial time series data arise routinely in meteorological and environmental studies. Inference and prediction associated with them are mostly carried out using any of the several variants of the linear state space model that are collectively ... More

Gaussian Random Functional Dynamic Spatio-Temporal Modeling of Discrete Time Spatial Time Series DataMay 26 2014Oct 26 2016Discrete time spatial time series data arise routinely in meteorological and environmental studies. Inference and prediction associated with them are mostly carried out using any of the several variants of the linear state space model that are collectively ... More

Quest for universal integrable modelsJul 01 1999In this paper we discuss a universal integrable model, given by a sum of two Wess-Zumino-Witten-Novikov (WZWN) actions, corresponding to two different orbits of the coadjoint action of a loop group on its dual, and the Polyakov-Weigmann cocycle describing ... More

Quasi-Integrability in Supersymmetric Sine-Gordon ModelsJul 25 2016The deformed supersymmetric sine-Gordon model, obtained through known deformation of the corresponding potential, is found to be quasi-integrable, like its non-supersymmetric counterpart, which was observed earlier. The system expectedly posses finite ... More

On Geometry of Schmidt Legendre TransformationJul 28 2016Aug 02 2016A geometrization of Schmidt-Legendre transformation of the second order Lagrangians is proposed by building a proper Tulczyjew's triplet. The symplectic relation between Ostrogradsky-Legendre and Schmidt-Legendre transformations is obtained. Several examples ... More

Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor CorrespondencesMay 22 1997The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory, ... More

Inverse Hasimoto Map and Deformed Nonlinear Schrödinger EquationMay 16 2019A mapping from the solutions of vortex filament equation in the Local Induction Approximation (LIA) to soliton solutions of the NonLinear Schr\"odinger equation was obtained by Hasimoto [R. Hasimoto, J. Fluid Mechanics 51, (1972) 477]. We utilize it to ... More

Quasi-Integrability of The KdV SystemDec 22 2016Apr 28 2017The quasi-integrable KdV equation has been obtained from the corresponding deformation of the Hamiltonian for the usual KdV system. Following suitable gauge-fixing, it has been found that the quasi-conservation condition is satisfied and an infinite number ... More

On Geometry of Schmidt Legendre TransformationJul 28 2016Mar 03 2017A geometrization of Schmidt-Legendre transformation of the second order Lagrangians is proposed by building a proper Tulczyjew's triplet. The symplectic relation between Ostrogradsky-Legendre and Schmidt-Legendre transformations is obtained. Several examples ... More

Quasi-Integrability in Supersymmetric Sine-Gordon ModelsJul 25 2016Oct 24 2016The deformed supersymmetric sine-Gordon model, obtained through known deformation of the corresponding potential, is found to be quasi-integrable, like its non-supersymmetric counterpart, which was observed earlier. The system expectedly possesses finite ... More

On the MHD load and the MHD metageApr 26 2007In analogy with the load and the metage in hydrodynamics, we define magnetohydrodynamic load and magnetohydrodynamic metage in the case of magnetofluids. They can be used to write the magnetic field in MHD in Clebsch's form. We show how these two concepts ... More

String Equations for the Unitary Matrix Model and the Periodic Flag ManifoldJul 02 1993The periodic flag manifold (in the Sato Grassmannian context) description of the modified Korteweg--de Vries hierarchy is used to analyse the translational and scaling self--similar solutions of this hierarchy. These solutions are characterized by the ... More

Bayesian Regression with Undirected Network Predictors with an Application to Brain Connectome DataMar 28 2018This article proposes a Bayesian approach to regression with a continuous scalar response and an undirected network predictor. Undirected network predictors are often expressed in terms of symmetric adjacency matrices, with rows and columns of the matrix ... More

Correlators of Mixed Symmetry Operators in Defect CFTsMay 31 2018Nov 02 2018We use the embedding formalism to study correlation functions of a d-dimensional Euclidean CFT in the presence of a $q$ co-dimensional defect. The defect breaks the global conformal group $SO(d+1,1)$ into $SO(d-q+1,1) \times SO(q)$. We calculate all possible ... More

Dissipative Cylindrical Collapse of Charged Anisotropic FluidFeb 25 2013Dec 13 2013We have studied the dynamics of a cylindrical column of anisotropic, charged fluid which is experiencing dissipation in the form of heat flow, free-streaming radiation, and shearing viscosity, undergoing gravitational collapse. We calculate the Einstein-Maxwell ... More

Adaptive Uncertainty Resolution in Bayesian Combinatorial Optimization ProblemsDec 04 2008Jan 28 2010In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some objective function ... More

Dynamical systems of null geodesics and solutions of Tomimatsu-Sato 2Mar 29 2017Feb 13 2018We have studied optical metrics via null geodesics and optical-mechanical formulation of classical mechanics, and described the geometry and optics of mechanical systems with drag dependent quadratically on velocity. Then we studied null geodesics as ... More

TV News Commercials Detection using Success based Locally Weighted Kernel CombinationJul 05 2015Commercial detection in news broadcast videos involves judicious selection of meaningful audio-visual feature combinations and efficient classifiers. And, this problem becomes much simpler if these combinations can be learned from the data. To this end, ... More

Formal Foundations of Serverless ComputingFeb 15 2019Feb 18 2019A robust, large-scale web service can be difficult to engineer. When demand spikes, it must configure new machines and manage load-balancing; when demand falls, it must shut down idle machines to reduce costs; and when a machine crashes, it must quickly ... More

Putting in All the Stops: Execution Control for JavaScriptFeb 08 2018Apr 16 2018Scores of compilers produce JavaScript, enabling programmers to use many languages on the Web, reuse existing code, and even use Web IDEs. Unfortunately, most compilers inherit the browser's compromised execution model, so long-running programs freeze ... More

A new generalization of generalized hypergeometric functionsJun 02 2012In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special cases for the I -function have also been given.

Probing helicity via non-local Hanbury-Brown and Twiss correlationsSep 13 2016Sep 18 2016Quantum Hall edge modes are chiral while quantum spin Hall edge modes are helical. Earlier conductance measurements were used to identify these helical states, in this work we report on the advantage of using the non local shot noise as a probe for the ... More

The Reduced PC-Algorithm: Improved Causal Structure Learning in Large Random NetworksJun 16 2018We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new algorithm that ... More

Nonstandard Convergence to Jamming in Random Sequential Adsorption: The Case of Patterned One-Dimensional SubstratesNov 22 2017We study approach to the large-time jammed state of the deposited particles in the model of random sequential adsorption. The convergence laws are usually derived from the argument of Pomeau which includes the assumption of the dominance, at large enough ... More

Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorderOct 21 2016May 15 2018The free-energy fluctuations of the discrete directed polymer in 1+1 dimensions is conjecturally in the Tracy-Widom universality class at all finite temperatures and in the intermediate disorder regime. Sepp\"al\"ainen's log-gamma polymer was proven to ... More

Putting in All the Stops: Execution Control for JavaScriptFeb 08 2018Scores of compilers produce JavaScript, enabling programmers to use many languages on the Web, reuse existing code, and even use Web IDEs. Unfortunately, most compilers expose the browser's compromised execution model, so long-running programs freeze ... More

Morpheus: Safe and Flexible Dynamic Updates for SDNsSep 11 2015SDN controllers must be periodically modified to add features, improve performance, and fix bugs, but current techniques for implementing dynamic updates are inadequate. Simply halting old controllers and bringing up new ones can cause state to be lost, ... More

Gauge fixing, BRS invariance and Ward identities for randomly stirred flowsFeb 10 2009The Galilean invariance of the Navier-Stokes equation is shown to be akin to a global gauge symmetry familiar from quantum field theory. This symmetry leads to a multiple counting of infinitely many inertial reference frames in the path integral approach ... More

Fragility of non-local edge mode transport in the quantum spin Hall stateApr 18 2016Jun 25 2016Non-local currents and voltages are better able at withstanding the deleterious effects of dephasing than local currents and voltages in nanoscale systems. This hypothesis is known to be true in quantum Hall set-ups. We test this hypothesis in a four ... More

GC-SROIQ(C) : Expressive Constraint Modelling and Grounded Circumscription for SROIQNov 03 2014Jul 28 2015Developments in semantic web technologies have promoted ontological encoding of knowledge from diverse domains. However, modelling many practical domains requires more expressive representations schemes than what the standard description logics(DLs) support. ... More

Predictive modeling of stock indices closing from web search trendsApr 05 2018The study aims to explore the strength of causal relationship between stock price search interest and real stock market outcomes on worldwide equity market indices. Such a phenomenon could also be mediated by investor behavior and extent of news coverage. ... More

Graphene quantum refrigeratorSep 23 2018Quantum refrigerators soak up heat energy from a low-temperature region and dump it into a higher temperature region using external work done on the system. Quantum refrigerators are useful in cooling down a system to very low temperatures. In this letter, ... More

Path Planning for Minimizing the Expected Cost until SuccessFeb 03 2018Aug 20 2018Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the robot on the graph ... More

Network Analysis of Cosmic Structures : Network Centrality and Topological EnvironmentMar 31 2015We apply simple analyses techniques developed for the study of complex networks to the study of the cosmic web, the large scale galaxy distribution. In this paper, we measure three network centralities (ranks of topological importance), Degree Centrality ... More

Stationary coalescing walks on the latticeDec 01 2016Dec 29 2018We consider translation invariant measures on families of nearest-neighbor semi-infinite walks on the integer lattice. We assume that once walks meet, they coalesce. In $2d$, we classify the collective behavior of these walks under mild assumptions: they ... More

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

Re-examination of the infra-red properties of randomly stirred hydrodynamicsNov 15 2010Dynamic renormalization group (RG) methods were originally used by Forster, Nelson and Stephen (FNS) to study the large-scale behaviour of randomly-stirred, incompressible fluids governed by the Navier-Stokes equations. Similar calculations using a variety ... More

Are quantum spin Hall edge modes more resilient to disorder, sample geometry and inelastic scattering than quantum Hall edge modes?Oct 01 2015Feb 17 2016On the surface of 2D Topological insulators occur 1D quantum spin Hall(QSH) edge modes with Dirac like dispersion. Unlike quantum Hall(QH) edge modes which occur at high magnetic fields in 2DEGs, the occurrence of QSH edge modes is because of spin-orbit ... More

The Gromov-Lawson-Rosenberg conjecture for the Semi-Dihedral group of order 16Mar 30 2011Mar 31 2011We show that the Gromov-Lawson-Rosenberg conjecture for the Semi-Dihedral group of order 16 is true.

Removal of Batch Effects using Generative Adversarial NetworksJan 20 2019Many biological data analysis processes like Cytometry or Next Generation Sequencing (NGS) produce massive amounts of data which needs to be processed in batches for down-stream analysis. Such datasets are prone to technical variations due to difference ... More

On a representation of Humbert's double hypergeometric series in a series of Gauss's 2F1 functionNov 30 2013In this paper, we aim to obtain a representation of Humbert's hy- pergeometric function in a series of Gauss's function 2F1. A few interesting results have also been deduced as special case of our main findings.

Tachyon Condensation on Separated Brane-Antibrane SystemJan 23 2008We study the effect of tachyon condensation on a brane antibrane pair in superstring theory separated in the transverse direction. The static properties of the tachyon potential analyzed using level truncated string field theory reproduces the desired ... More

On an identity for H-functionMar 07 2017The main objective of this research note is to provide an identity for the H-function, which generalizes two identities involving H-function obtained earlier by Rathie and Rathie et al.

Statistics of the Distance Traveled until Connectivity for Unmanned VehiclesAug 07 2018In this paper, we consider a scenario where a robot needs to establish connectivity with a remote operator or another robot, as it moves along a path. We are interested in answering the following question: what is the distance traveled by the robot along ... More

Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3Apr 13 2010Jun 22 2010This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3,h) associated to the exceptional Coxeter group H_3 and any complex parameter c. We compute the characters of all these representations explicitly. ... More

A new proof of the fundamental two-term transformation for the series ${}_3F_2(1)$ due to ThomaeAug 23 2016The aim of this short note is to provide a very simple proof for obtaining the fundamental two-term transformation for the series ${}_3F_2(1)$ due to Thomae.

Picard group and fundamental group of the moduli of Higgs bundles on curvesAug 01 2018Let $X$ be an irreducible smooth projective curve of genus $g \geq 2$ over $\mathbb{C}$. Let $G$ be a connected reductive affine algebraic group over $\mathbb{C}$. Let $\mathrm{M}_{G, {\rm Higgs}}^{\delta}$ be the moduli space of semistable principal ... More

Magnetic helicity and the evolution of decaying magnetohydrodynamic turbulenceMay 26 2014Oct 07 2014Ensemble averaged high resolution direct numerical simulations of reverse spectral transfer are presented, extending on the many single realization numerical studies done up to now. This identifies this type of spectral transfer as a statistical property ... More

The Quantum Phase of InflationDec 28 2009Mar 05 2013Inflation models can have an early phase of inflation where the evolution of the inflaton is driven by quantum fluctuations before entering the phase driven by the slope of the scalar field potential. For a Coleman-Weinberg potential this quantum phase ... More

Galilean invariance and homogeneous anisotropic randomly stirred flowsSep 21 2005The Ward-Takahashi (WT) identities for incompressible flow implied by Galilean invariance are derived for the randomly forced Navier-Stokes equation (NSE), in which both the mean and fluctuating velocity components are explicitly present. The consequences ... More

Asymptotic properties of turbulent magnetohydrodynamicsMar 21 2001Feb 12 2002The dynamic renormalization group (RG) is used to study the large-distance and long-time limits of viscous and resistive incompressible magnetohydrodynamics subject to random forces and currents. The scale-dependent viscosity and magnetic resistivity ... More

Inflationary Initial Conditions Consistent with CausalityOct 24 2000Feb 06 2001The initial condition problem of inflation is examined from the perspective of both spacetime embedding and scalar field dynamics. The spacetime embedding problem is solved for arbitrary initial spatial curvature Omega, which generalizes previous works ... More