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Topic Independent Identification of Agreement and Disagreement in Social Media DialogueSep 03 2017Research on the structure of dialogue has been hampered for years because large dialogue corpora have not been available. This has impacted the dialogue research community's ability to develop better theories, as well as good off the shelf tools for dialogue ... More

Measuring the Similarity of Sentential Arguments in DialogSep 06 2017When people converse about social or political topics, similar arguments are often paraphrased by different speakers, across many different conversations. Debate websites produce curated summaries of arguments on such topics; these summaries typically ... More

Using Structured Representation and Data: A Hybrid Model for Negation and Sentiment in Customer Service ConversationsJun 11 2019Twitter customer service interactions have recently emerged as an effective platform to respond and engage with customers. In this work, we explore the role of negation in customer service interactions, particularly applied to sentiment analysis. We define ... More

Using Summarization to Discover Argument Facets in Online Ideological DialogSep 03 2017More and more of the information available on the web is dialogic, and a significant portion of it takes place in online forum conversations about current social and political topics. We aim to develop tools to summarize what these conversations are about. ... More

Combining Search with Structured Data to Create a More Engaging User Experience in Open Domain DialogueSep 15 2017The greatest challenges in building sophisticated open-domain conversational agents arise directly from the potential for ongoing mixed-initiative multi-turn dialogues, which do not follow a particular plan or pursue a particular fixed information need. ... More

Summarizing Dialogic Arguments from Social MediaOct 31 2017Online argumentative dialog is a rich source of information on popular beliefs and opinions that could be useful to companies as well as governmental or public policy agencies. Compact, easy to read, summaries of these dialogues would thus be highly valuable. ... More

Search for contact interactions at HERAOct 08 2008Oct 09 2008The H1 and ZEUS collaborations at HERA have searched for signatures of physics beyond the Standard Model using high Q^2 neutral current deep inelastic electron-proton and positron-proton scattering events. No significant deviations from Standard Model ... More

A Semi-Supervised Approach to Detecting Stance in TweetsSep 03 2017Stance classification aims to identify, for a particular issue under discussion, whether the speaker or author of a conversational turn has Pro (Favor) or Con (Against) stance on the issue. Detecting stance in tweets is a new task proposed for SemEval-2016 ... More

Don't get Lost in Negation: An Effective Negation Handled Dialogue Acts Prediction Algorithm for Twitter Customer Service ConversationsJul 16 2018In the last several years, Twitter is being adopted by the companies as an alternative platform to interact with the customers to address their concerns. With the abundance of such unconventional conversation resources, push for developing effective virtual ... More

Curriculum Learning in Deep Neural Networks for Financial ForecastingApr 29 2019For any financial organization, computing accurate quarterly forecasts for various products is one of the most critical operations. As the granularity at which forecasts are needed increases, traditional statistical time series models may not scale well. ... More

Are you serious?: Rhetorical Questions and Sarcasm in Social Media DialogSep 15 2017Effective models of social dialog must understand a broad range of rhetorical and figurative devices. Rhetorical questions (RQs) are a type of figurative language whose aim is to achieve a pragmatic goal, such as structuring an argument, being persuasive, ... More

Existence of solution for a system involving fractional Laplacians and a Radon measureFeb 04 2019An existence of a nontrivial solution in some `weaker' sense of the following system of equations \begin{align*} (-\Delta)^{s}u+l(x)\phi u+w(x)|u|^{k-1}u&=\mu~\text{in}~\Omega\nonumber\\ (-\Delta)^{s}\phi&= l(x)u^2~\text{in}~\Omega\nonumber\\ u=\phi&=0 ... More

Three nontrivial solutions of a nonlocal problem involving critical exponentDec 04 2018In this paper we will prove the existence of three nontrivial weak solutions of the following problem involving a nonlinear integro-differential operator and a term with critical exponent. \begin{align*} \begin{split} -\mathscr{L}_\Phi u & = |u|^{{p_{s}^{\ast}}-2}u+\lambda ... More

Ion Vortex BeamNov 08 2017Recent advances in intense short pulse laser interaction with thin foil enable us to accelerates the ions upto relativistic velocity in a controlled way. The accelerated ion beams can be utilized to generate the ion vortex beam in a similar way as it ... More

Molecular dynamics study of crystal formation and structural phase transition in Yukawa system for dusty plasma mediumOct 24 2018Dec 13 2018The layered crystal formation in dusty plasma medium depicted by the Yukawa interaction amidst dust has been investigated using Molecular Dynamics simulations. The multilayer structures are shown to form in the presence of a combined gravitational and ... More

Existence of solution of the $p(x)$-Laplacian problem involving critical exponent and Radon measureNov 15 2018In this paper we are proving the existence of a nontrivial solution of the ${p}(x)$- Laplacian equation with Dirichlet boundary condition. We will use the variational method and concentration compactness principle involving positive radon measure $\mu$. ... More

A probabilistic measure for optimal actuator and sensor placement for linear systems with packet dropoutsMar 01 2019We consider linear systems subject to packet dropouts and obtain necessary and sufficient conditions for an arbitrary state transfer and state estimation over a finite time instance $T$. The data loss signal is modeled using the Bernoulli random variable. ... More

Java Source-code Clustering: Unifying Syntactic and Semantic FeaturesAug 31 2012Oct 03 2012This is a companion draft to the paper 'Software Clustering: Unifying Syntactic and Semantic Features', 19th Working Conference on Reverse Engineering (WCRE 2012). It discusses software clustering process in detail, which appeared in the paper in an abridged ... More

Thoughts on an Unified Framework for Artificial ChemistriesJan 03 2009Artificial Chemistries (ACs) are symbolic chemical metaphors for the exploration of Artificial Life, with specific focus on the problem of biogenesis or the origin of life. This paper presents authors thoughts towards defining a unified framework to characterize ... More

A Dynamical Mean-field Study of LaNiO$_3$Jan 28 2014Mar 03 2014While most of the rare-earth nickelates exhibit a temperature-driven sharp metal-insulator transition, LaNiO$_3$ is the only exception remaining metallic down to low temperatures. Using local density approximation as an input to dynamical mean-field calculation, ... More

Evidence For Advective Flow From Multi-Wavelength Observations Of Nova MuscaeSep 02 1998We model the UV/optical spectrum of the black hole binary Nova Muscae as a sum of black body emissions from the outer region of an accretion disk. We show for self-consistency that scattering effects in this region are not important. The black hole mass ... More

Operators in the Cowen-Douglas class and related topicsJan 12 2019Linear spaces with an Euclidean metric are ubiquitous in mathematics, arising both from quadratic forms and inner products. Operators on such spaces also occur naturally. In recent years, the study of multivariate operator theory has made substantial ... More

Local D3/D7 mu-Split SUSY, 125 GeV Higgs and Large Volume Ricci-Flat Swiss-Cheese Metrics: A Brief ReviewMar 13 2012In this article, we review briefly recent progress made in realizing local(ized around a mobile space-time filling D3-brane in) D3/D7 mu-Split Supersymmetry in (the large volume limit of Type IIB) String Theory (compactified on Swiss-Cheese Calabi-Yau ... More

Towards a Framework for Observing Artificial Evolutionary SystemsJan 12 2009Establishing the emergence of evolutionary behavior as a defining characteristic of 'life' is a major step in the Artificial life (ALife) studies. We present here an abstract formal framework for this aim based upon the notion of high-level observations ... More

Design of a P System based Artificial Graph ChemistryJan 03 2009Artificial Chemistries (ACs) are symbolic chemical metaphors for the exploration of Artificial Life, with specific focus on the origin of life. In this work we define a P system based artificial graph chemistry to understand the principles leading to ... More

A two zone model for the broad Iron line emission in MCG-6-30-15Dec 08 1999We reanalyze the ASCA and BeppoSAX data of MCG-6-30-15, using a double zone model for the Iron line profile. In this model, the X-ray source is located around $\approx 10$ Schwarzschild radius and the regions interior and exterior to the X-ray source ... More

Coherent States in Null-Plane Q.E.DNov 17 1993Light front field theories are known to have the usual infra-red divergences of the equal time theories, as wellas new `spurious' infra-red divergences. The formar kind of IR divergences are usually treated by giving a small mass to the gauge particle. ... More

An N=1 Triality by Spectrum MatchingDec 04 2002Oct 20 2003On promoting the type IIA side of the N=1 Heterotic/type IIA dual pairs of [1] to M-theory on a `barely G_2 Manifold' of [2], by spectrum-matching we show a possible triality between Heterotic on a self-mirror Calabi-Yau, M-theory on the above `barely ... More

Slugbot: An Application of a Novel and Scalable Open Domain Socialbot FrameworkJan 04 2018In this paper we introduce a novel, open domain socialbot for the Amazon Alexa Prize competition, aimed at carrying on friendly conversations with users on a variety of topics. We present our modular system, highlighting our different data sources and ... More

Data-Driven Dialogue Systems for Social AgentsSep 10 2017In order to build dialogue systems to tackle the ambitious task of holding social conversations, we argue that we need a data driven approach that includes insight into human conversational chit chat, and which incorporates different natural language ... More

Modeling The X-ray Timing Properties Of Cygnus X-1 As Caused By Waves Propagating In A Transition DiskDec 08 1999We show that waves propagating in a transition disk can explain the short term temporal behavior of Cygnus X-1. In the transition disk model the spectrum is produced by saturated Comptonization within the inner region of the accretion disk where the temperature ... More

Flow Equations for Uplifting Half-Flat to Spin(7) ManifoldsJul 15 2005Jan 28 2006In this short supplement to [1], we discuss the uplift of half-flat six-folds to Spin(7) eight-folds by fibration of the former over a product of two intervals. We show that the same can be done in two ways - one, such that the required Spin(7) eight-fold ... More

The Peculiarity of a Negative Coordinate Axis in Dyonic Solutions of Noncommutative N=4 Super Yang-MillsAug 07 2001Apr 18 2002We show that in a certain region of a negative coordinate axis, the U(1amaharia) sector of the static dyonic solutions to the noncommutative U(4) N=4 Super Yang-Mills (SYM) can be consistently decoupled from the SU(4) to {\it all orders in the noncommutativity ... More

Derivation of O(q^4) Effective Pion-Nucleon Lagrangian Within Heavy Baryon Chiral Perturbation TheorySep 24 1999Sep 27 1999We construct a complete list of O(q^4) terms directly within Heavy Baryon Chiral Perturbation Theory (HBChPT) in the absence of external fields and assuming isospin symmetry. In addition to a phase rule recently developed (NPA646, 343, '99), a variety ... More

Debbie, the Debate Bot of the FutureSep 10 2017Chatbots are a rapidly expanding application of dialogue systems with companies switching to bot services for customer support, and new applications for users interested in casual conversation. One style of casual conversation is argument, many people ... More

SlugNERDS: A Named Entity Recognition Tool for Open Domain Dialogue SystemsMay 10 2018In dialogue systems, the tasks of named entity recognition (NER) and named entity linking (NEL) are vital preprocessing steps for understanding user intent, especially in open domain interaction where we cannot rely on domain-specific inference. UCSC's ... More

Problem involving nonlocal operatorJul 12 2017The aim of this paper is to deal with the elliptic pdes involving a nonlinear integrodifferential operator, which are possibly degenerate and covers the case of fractional $p$-Laplacian operator. We prove the existence of a solution in the weak sense ... More

Yet another approach to the Algebraic Riccati InequalityFeb 28 2019We give a rank characterization of the solution set of algebraic Riccati inequality (ARI) for both controllable and uncontrollable systems. Assuming an existence of a solution of the corresponding algebraic Riccati equation (ARE), we characterize the ... More

Energy principle for 2D electromagnetic, relativistic, interpenetrating, counter streaming plasma flowsJul 10 2017A relativistic electron beam propagating through plasma induces a return current in the system. Such a system of counterstreaming forward and return current is susceptible to host of instabilities out of which Weibel remains a dominant mode for destabilizing ... More

Effect of finite beam width on current separation in beam plasma system: Particle-in-Cell simulationsAug 31 2015Sep 10 2015The electron beam propagation in a plasma medium is susceptible to several instabilities. In the relativistic regime typically the weibel instability leading to the current separation dominates. The linear instability analysis is carried out for a system ... More

Particle-in-Cell simulation of two-dimensional electron velocity shear driven instability in relativistic domainMay 30 2016We carry out Particle-in-Cell (PIC) simulations to study the instabilities associated with a 2-D sheared electron flow configuration against a neutralizing background of ions. Both weak and strong relativistic flow velocities are considered. In the weakly ... More

Propagation of Electron Magnetohydrodynamic structures in a 2-D inhomogeneous plasmaApr 24 2008The fully three dimensional governing equations in the electron magnetohydrodynamic (EMHD) regime for a plasma with inhomogeneous density is obtained. These equations in the two dimensional (2-D) limit can be cast in terms of the evolution of two coupled ... More

2-D studies of Relativistic electron beam plasma instabilities in an inhomogeneous plasmaJul 29 2015Relativistic electron beam propagation in plasma is fraught with several micro instabilities like two stream, filamentation etc., in plasma. This results in severe limitation of the electron transport through a plasma medium. Recently, however, there ... More

Optical runaway evaporation for multi-BEC productionSep 16 2014Oct 28 2014We report on parallel production of Bose-Einstein condensates (BECs) in steerable, multi-plexed crossed optical dipole traps. Using a conventional trap-weakening evaporation scheme, where the optical trapping power is lowered, we obtain an array of up ... More

Spiral Waves in Driven Dusty Plasma Medium: Generalized Hydrodynamic Fluid DescriptionOct 11 2017Dec 12 2017Spiral waves are observed in many natural phenomena. They have been extensively represented by the mathematical FitzHugh-Nagumo (FHN) model [Barkley et al., Phys. Rev. A 42, 2489 (1990)] of excitable media. In incompressible fluid simulations also excitation ... More

Preference Elicitation For Single Crossing DomainApr 15 2016Eliciting the preferences of a set of agents over a set of alternatives is a problem of fundamental importance in social choice theory. Prior work on this problem has studied the query complexity of preference elicitation for the unrestricted domain and ... More

Interpretation of the Radio/X-ray Knots of AGN Jets within the Internal Shock Model FrameworkApr 08 2005The dynamics of relativistically moving blobs ejected out of a central AGN, are considered. It is assumed that the collision between two blobs are completely inelastic, such that the bulk kinetic energy lost in the collision is used to energize electrons ... More

A Monte Carlo estimate for the fraction of thermal Comptonized photons that impinge back on the soft source in neutron star LMXBsMar 20 2016In earlier works, it was shown that the energy dependent soft time lags observed in kHz QPOs of neutron star low mass X-ray binaries (LMXBs) can be explained as being due to Comptonization lags provided a significant fraction ($\eta \sim 0.2$ - $0.8$) ... More

The Carathéodory-Fejér interpolation problem for the polydiscJun 23 2016Aug 16 2017We give an algorithm for finding a solution to the Carath\'{e}odory-Fej\'{e}r interpolation problem on the polydisc $\mathbb D^n,$ whenever it exists. A necessary condition for the existence of a solution becomes apparent from this algorithm. A generalization ... More

Does the evolution of complex life depend on the stellar spectral energy distribution?May 17 2019This paper presents the proportional evolutionary time hypothesis, which posits that the mean time required for the evolution of complex life is a function of stellar mass. The "biological available window" is defined as the region of a stellar spectrum ... More

Singular Hilbert modules on Jordan-Kepler varietiesMay 08 2019We study submodules of analytic Hilbert modules defined over certain algebraic varieties in bounded symmetric domains, the so-called Jordan-Kepler varieties $V_\ell$ of arbitrary rank $\ell.$ For $\ell>1$ the singular set of $V_\ell$ is not a complete ... More

Damping of glacial-interglacial cycles from anthropogenic forcingJun 18 2014Climate variability over the past million years shows a strong glacial-interglacial cycle of ~100,000 years as a combined result of Milankovitch orbital forcing and climatic resonance. It has been suggested that anthropogenic contributions to radiative ... More

Efficient stochastic sampling of first-passage times with applications to self-assembly simulationsApr 02 2008Nov 07 2008Models of reaction chemistry based on the stochastic simulation algorithm (SSA) have become a crucial tool for simulating complicated biological reaction networks due to their ability to handle extremely complicated reaction networks and to represent ... More

On the Exact Amount of Missing Information that makes Finding Possible Winners HardOct 26 2016We consider election scenarios with incomplete information, a situation that arises often in practice. There are several models of incomplete information and accordingly, different notions of outcomes of such elections. In one well-studied model of incompleteness, ... More

Phase Transitions in Quantum Field TheoryDec 21 1992Mar 14 1993We discuss here phase transitions in quantum field theory in the context of vacuum realignment through an explicit construction. Vacuum destabilisation may occur through a scalar attaining a nonzero expectation value, or through a condensate mechanism ... More

Can Deep Altruism Sustain Space Settlement?Jun 15 2018Jun 25 2018Space settlement represents a long-term human effort that requires unprecedented coordination across successive generations. In this chapter, I develop a comparative hierarchy for the value of long-term projects based upon their benefits to culture, their ... More

Energy Dependent Time Delays of kHz Oscillations due to Thermal ComptonizationSep 22 2014We study the energy dependent photon variability from a thermal Comptonizing plasma that is oscillating at kHz frequencies. In particular, we solve the linearised time dependent Kompaneets equation and consider the oscillatory perturbation to be either ... More

Stabilization of radiation pressure dominated accretion disks by viscous fluctuationsMar 01 2012The standard thin accretion disk model has been successfully used to explain the soft X-ray spectra of Galactic black hole systems and perhaps the UV emission of Active Galactic Nuclei. However, radiation pressure dominated disks are known to be viscously ... More

Complex Korteweg-de Vries equation and Nonlinear dust-acoustic waves in a magnetoplasma with a pair of trapped ionsJan 05 2015The nonlinear propagation of dust-acoustic (DA) waves in a magnetized dusty plasma with a pair of trapped ions is investigated. Starting from a set of hydrodynamic equations for massive dust fluids as well as kinetic Vlasov equations for ions, and applying ... More

Discriminating Between Cloudy, Hazy and Clearsky Exoplanets Using RefractionSep 24 2014We propose a method to distinguish between cloudy, hazy and clearsky (free of clouds and hazes) exoplanet atmospheres that could be applicable to upcoming large aperture space and ground-based telescopes such as the James Webb Space Telescope (JWST) and ... More

Large Volume Axionic Swiss-Cheese InflationDec 08 2007Jun 22 2008Continuing with the ideas of (section 4 of) [1], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of slow-roll axionic inflation ... More

Triality of Four Dimensional Strings and NetworksJul 14 2000Jul 17 2000We apply the string-triality\cite{duffetal} to argue the existence of the string-networks of solitonic T and U-strings in the heterotic theory on T^6, S and T-strings in IIB on K3 x T^2 and, S and U-strings in IIA on K3 x T^2. We then show the existence ... More

Contractive and completely contractive maps over planar algebrasMay 12 2005Jul 22 2005We consider contractive homomorphisms of a planar algebra ${\mathcal A}(\Omega)$ over a finitely connected bounded domain $\Omega \subseteq \C$ and ask if they are necessarily completely contractive. We show that a homomorphism $\rho:{\mathcal A}(\Omega) ... More

Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domainsJul 31 2015It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic group on finite dimensional inner product spaces. The representations, and the induced bundles, have composition ... More

A classification of homogeneous operators in the Cowen-Douglas classApr 19 2010An explicit construction of all the homogeneous holomorphic Hermitian vector bundles over the unit disc $\mathbb D$ is given. It is shown that every such vector bundle is a direct sum of irreducible ones. Among these irreducible homogeneous holomorphic ... More

Funding the Search for Extraterrestrial Intelligence with a Lottery BondNov 11 2013I propose the establishment of a SETI Lottery Bond to provide a continued source of funding for the search for extraterrestrial intelligence (SETI). The SETI Lottery Bond is a fixed rate perpetual bond with a lottery at maturity, where maturity occurs ... More

Rational Orbits around Charged Black HolesJul 16 2010We show that all eccentric timelike orbits in Reissner-Nordstr\"{o}m spacetime can be classified using a taxonomy that draws upon an isomorphism between periodic orbits and the set of rational numbers. By virtue of the fact that the rationals are dense, ... More

On Nef cone of projective bundle over surfacesApr 04 2019In this article, we gave a description of the Mori cone of curves of the projective bundle $\mathbb{P}(\mathcal{E})$ over a smooth irreducible projective surface $X$. Using this, we have calculated the Nef cone of $\mathbb{P}(\mathcal{E})$ over $X$ in ... More

Delay Bounds for Multiclass FIFOMay 18 2016Aug 26 2017FIFO is perhaps the simplest scheduling discipline. For single-class FIFO, its delay guarantee performance has been extensively studied: The well-known results include a stochastic delay bound for $GI/GI/1$ by Kingman and a deterministic delay bound for ... More

New Insights into Properties of Large-N Holographic Thermal QCD at Finite Gauge Coupling at (the Non-Conformal/Next-to) Leading Order in NJun 15 2016Nov 30 2016In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we show that the local T^3 ... More

Giant Component in Random Multipartite Graphs with Given Degree SequencesJun 03 2013Jan 22 2014We study the problem of the existence of a giant component in a random multipartite graph. We consider a random multipartite graph with $p$ parts generated according to a given degree sequence $n_i^{\mathbf{d}}(n)$ which denotes the number of vertices ... More

The transformative value of liberating MarsApr 08 2014Aug 25 2015Humanity has the knowledge to solve its problems but lacks the moral insight to implement these ideas on a global scale. New moral insight can be obtained through transformative experiences that allow us to examine and refine our underlying preferences, ... More

Elicitation for Preferences Single Peaked on TreesApr 15 2016In multiagent systems, we often have a set of agents each of which have a preference ordering over a set of items and one would like to know these preference orderings for various tasks, for example, data analysis, preference aggregation, voting etc. ... More

New Insights into Properties of Large-N Holographic Thermal QCD at Finite Gauge Coupling at (the Non-Conformal/Next-to) Leading Order in NJun 15 2016Oct 18 2016In the context of [1]'s string theoretic dual of large-N thermal QCD-like theories at finite gauge/string coupling (as part of the `MQGP' limit of [2]), we discuss the following. First, up to LO in N, using the results of [3], we show that the local T^3 ... More

Introduction: Detectability of Future EarthFeb 11 2019Earth's future detectability depends upon the trajectory of our civilization over the coming centuries. Human civilization is also the only known example of an energy-intensive civilization, so our history and future trajectories provide the basis for ... More

Policy options for the radio detectability of EarthApr 05 2018The METI risk problem refers to the uncertain outcome of sending transmissions into space with the intention of messaging to extraterrestrial intelligence (METI). Here, I demonstrate that this uncertainty is undecidable by proving that that the METI risk ... More

Alternating lags of QPO harmonics : A Generic model and its application to the 67 millihertz QPO of GRS 1915+105Oct 16 2013A generic model for alternating lags in QPO harmonics is presented where variations in the photon spectrum are caused by oscillations in two parameters that characterize the spectrum. It is further assumed that variations in one of the parameters is linearly ... More

An Erdős--Ko--Rado theorem for matchings in the complete graphMar 17 2013We consider the following higher-order analog of the Erd\H{o}s--Ko--Rado theorem. For positive integers r and n with r<= n, let M^r_n be the family of all matchings of size r in the complete graph K_{2n}. For any edge e in E(K_{2n}), the family M^r_n(e), ... More

M-Theory Exotic Scalar Glueball Decays to Mesons at Finite CouplingAug 02 2018Sep 05 2018Using the pull-back of the perturbed type IIA metric corresponding to the perturbation of arXiv:hep-th/1306.4339's M-theory uplift of arXiv:hep-th/0902.1540's UV-complete top-down type IIB holographic dual of large-$N$ thermal QCD, at finite coupling, ... More

Electromagnetic surface modes in a magnetized quantum electron-hole plasmaApr 13 2011The propagation of surface electromagnetic waves along a uniform magnetic field is studied in a quantum electron-hole semiconductor plasma. A new forward propagating mode, not reported before, is found by the effect of quantum tunneling, which otherwise ... More

A Healthy Electron/Neutron EDM in D3/D7 mu-Split-Like SUSYAug 14 2013Sep 02 2014Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in the Calabi-Yau ... More

Dust ion-acoustic shocks in quantum dusty pair-ion plasmasJun 16 2008The formation of dust ion-acoustic shocks (DIASs) in a four-component quantum plasma whose constituents are electrons, both positive and negative ions and immobile charged dust grains, is studied. The effects of both the dissipation due to kinematic viscosity ... More

On the Existence of Non-Supersymmetric Black Hole Attractors for Two-Parameter Calabi-Yau's and Attractor EquationsJul 19 2006Sep 17 2006We look for possible nonsupersymmetric black hole attractor solutions for type II compactification on (the mirror of) CY_3(2,128) expressed as a degree-12 hypersurface in WCP^4[1,1,2,2,6]. In the process, (a) for points away from the conifold locus, we ... More

A Decidable Timeout based Extension of Propositional Linear Temporal LogicDec 16 2010We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together with static timing ... More

On the incidence of KHz quasi-periodic oscillations in the neutron star system 4U 1636-53Aug 15 2004Nearly $1.32 \times 10^6$ sec of non-zero count rate data were obtained from five years of {\rm RXTE} observations of the atoll source 4U 1636-53. The data was divided into 10309 segments of 128 sec each. The histogram of the number of segments as a function ... More

Flux enhancement in the inner region of a geometrically and optically thick accretion diskOct 21 2002The surface flux (and the corresponding observed flux) of a geometrically thick ``funnel'' shaped disk is computed taking into account the radiation impinging on the surface from other parts of the disk. It is found that the ratio of the maximum apparent ... More

Pseudo-Newtonian Potentials to Describe the Temporal Effects on Relativistic Accretion Disks around Rotating Black Holes and Neutron StarsSep 03 2002Two pseudo-Newtonian potentials, which approximate the angular and epicyclic frequencies of the relativistic accretion disk around rotating (and counter rotating) compact objects, are presented. One of them, the Logarithmically Modified Potential, is ... More

A Note on Alternating Minimization Algorithm for the Matrix Completion ProblemFeb 05 2016We consider the problem of reconstructing a low rank matrix from a subset of its entries and analyze two variants of the so-called Alternating Minimization algorithm, which has been proposed in the past. We establish that when the underlying matrix has ... More

Vacuum Structure and Chiral Symmetry BreakingMay 25 1994We relate here the vacuum structure of chiral symmetry breaking to a wide class of low energy hadronic properties to examine consistency with experimental results. Phase transition of chiral symmetry breaking is described through explicit vacuum realignment. ... More

Application of Korányi-Pukánszky Theorem to Interpolation ProblemsJun 23 2016Adapting a theorem of Kor\'{a}nyi and Puk\'{a}nzsky, we give an algorithm for finding a solution to the Carath\'{e}odory-Fej\'{e}r interpolation problem on the polydisc $\mathbb D^n,$ whenever it exists. A necessary condition for the existence of a solution ... More

Should we geoengineer larger ice caps?Jul 20 2015The climate of Earth is susceptible to catastrophes that could threaten the longevity of human civilization. Geoengineering to reduce incoming solar radiation has been suggested as a way to mediate the warming effects of contemporary climate change, but ... More

Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domainsJun 05 2018It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic Lie algebra on finite dimensional inner product spaces. The representations, and the induced bundles, have composition ... More

Constraining the size of the Comptonizing medium by modeling the energy dependent time-lags of kHz QPOs of Neutron star systemFeb 29 2016In earlier works, we had shown that the observed soft lags and r.m.s versus energy of the lower kHz QPO of neutron star binaries can be explained in the framework of a thermal Comptonization model. It was also shown that such an interpretation can provide ... More

Resolution of singularities for a class of Hilbert modulesMar 25 2010A short proof of the "Rigidity theorem" using the sheaf theoretic model for Hilbert modules over polynomial rings is given. The joint kernel for a large class of submodules is described. The completion $[\mathcal I]$ of a homogeneous (polynomial) ideal ... More

A Self-Consistent Model For The Long-Term Gamma-Ray Spectral Variability of Cygnus X-1Jun 19 1993The long-term transitions of the black hole candidate Cygnus X-1 (between the states gamma_1, gamma_2, and gamma_3) include the occasional appearance of a strong ~ MeV bump (gamma_1), whose strength appears to be anti-correlated with the continuum flux ... More

Towards Large Volume Big Divisor D3-D7 "mu-Split Supersymmetry" and Ricci-Flat Swiss-Cheese Metrics, and Dimension-Six Neutrino Mass OperatorsJun 27 2011Feb 20 2012We show that it is possible to realize a "mu-split SUSY" scenario [1] in the context of large volume limit of type IIB compactifications on Swiss-Cheese Calabi-Yau's in the presence of a mobile space-time filling D3-brane and a (stack of) D7-brane(s) ... More

Soft SUSY Breaking Parameters and RG Running of Squark and Slepton Masses in Large Volume Swiss Cheese CompactificationsSep 01 2009Feb 03 2010We consider type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP^4[1; 1; 1; 6; 9] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (as opposed to the "small" ... More

Techniques for Distributed Reachability Analysis with Partial Order and Symmetry based ReductionsJan 01 2009In this work we propose techniques for efficient reachability analysis of the state space (e.g., detection of bad states) using a combination of partial order and symmetry based reductions in a distributed setting. The proposed techniques are focused ... More

Homogeneous Vector Bundles and intertwining Operators for Symmetric DomainsJul 30 2015The main features of homogeneous Cowen-Douglas operators, well-known for the unit disk, are generalized to the setting of hermitian bounded symmetric domains of arbitrary rank.

Decomposition of the tensor product of two Hilbert modulesJun 09 2019Given a pair of positive real numbers $\alpha, \beta$ and a sesqui-analytic function $K$ on a bounded domain $\Omega \subset \mathbb C^m$, in this paper, we investigate the properties of the sesqui-analytic function $\mathbb K^{(\alpha, \beta)}:= K^{\alpha+\beta}\big(\partial_i\bar{\partial}_j\log ... More