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The homology of $\mathrm{tmf}$May 27 2013Dec 18 2015We compute the mod $2$ homology of the spectrum $\mathrm{tmf}$ of topological modular forms by proving a 2-local equivalence $\mathrm{tmf} \wedge DA(1) \simeq \mathrm{tmf}_1(3) \simeq BP\left \langle 2\right\rangle$, where $DA(1)$ is an eight cell complex ... More

Categories parametrized by schemes and representation theory in complex rankJun 07 2010Many key invariants in the representation theory of classical groups (symmetric groups $S_n$, matrix groups $GL_n$, $O_n$, $Sp_{2n}$) are polynomials in $n$ (e.g., dimensions of irreducible representations). This allowed Deligne to extend the representation ... More

Residue fields for a class of rational $\mathbf{E}_\infty$-rings and applicationsJun 19 2014Jul 18 2016Let $A$ be an $\mathbf{E}_{\infty}$-ring spectrum over the rational numbers. If $A$ satisfies a noetherian condition on its homotopy groups $\pi_*(A)$, we construct a collection of $\mathbf{E}_{\infty}$-$A$-algebras that realize on homotopy the residue ... More

Studies of a possible new Herbig Ae/Be star in the open cluster NGC 7380Jan 24 2012We present a study of the star 2MASS J22472238+5801214 with the aim of identifying its true nature which has hitherto been uncertain. This object, which is a member of the young cluster NGC 7380, has been variously proposed to be a Be star, a D-type symbiotic ... More

The X^- Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis ProblemsNov 24 2007Mar 24 2008The $^6$Li abundance observed in metal poor halo stars appears to exhibit a plateau as a function of metallicity similar to that for $^7$Li, suggesting a big bang origin. However, the inferred primordial abundance of $^6$Li is $\sim$1000 times larger ... More

A Simultaneous Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis Problems from a Long-Lived Negatively-Charged Leptonic ParticleNov 24 2007The $^6$Li abundance observed in metal poor halo stars exhibits a plateau similar to that for $^7$Li suggesting a primordial origin. However, the observed abundance of $^6$Li is a factor of $10^3$ larger and that of $^7$Li is a factor of 3 lower than ... More

Optical/IR studies of Be stars in NGC 6834 with emphasis on two specific starsAug 28 2014We present optical and infrared photometric and spectroscopic studies of two Be stars in the 70--80-Myr-old open cluster NGC 6834. NGC 6834(1) has been reported as a binary from speckle interferometric studies whereas NGC 6834(2) may possibly be a gamma ... More

A study of the role of Lyman β fluorescence on OI line strengths in Be starsApr 26 2012The possibility of the Ly{\beta} fluorescence mechanism being operational in classical Be stars and thereby contributing to the strength of the OI 8446 {\AA} line has been recognized for long. However this supposition needs to be quantified by comparing ... More

An invariance principle for the stochastic heat equationJun 17 2017We approximate the white-noise driven stochastic heat equation by replacing the fractional Laplacian by the generator of a discrete time random walk on the one dimensional lattice, and approximating white noise by a collection of i.i.d. mean zero random ... More

Identities for the Ramanujan zeta functionOct 06 2012Apr 16 2013We prove formulas for special values of the Ramanujan tau zeta function. Our formulas show that $L(\Delta, k)$ is a period in the sense of Kontsevich and Zagier when $k\ge12$. As an illustration, we reduce $L(\Delta, k)$ to explicit integrals of hypergeometric ... More

From $L$-series of elliptic curves to Mahler measuresDec 14 2010Sep 30 2011We prove the conjectural relations between Mahler measures and $L$-values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions for $L$-values of CM elliptic curves of conductors 27 and 36. Furthermore, we prove a ... More

Strings, fermions and the topology of curves on annuliOct 08 2014Nov 06 2014In previous work with Schoenfeld, we considered a string-type chain complex of curves on surfaces, with differential given by resolving crossings, and computed the homology of this complex for discs. In this paper we consider the corresponding "string ... More

α^{m}}(A)$, $C_{α^{m}}(A)$ and $α^{m}$-open and closed FunctionsJan 14 2016In this paper, we derive more on $\alpha^{m}$-continuous functions and $\alpha^{m}$-irresolute functions with $\alpha^{m}$-open maps and $\alpha^{m}$-closed maps in topological spaces also we introduce $I_{\alpha^{m}}(A)$ and $C_{\alpha^{m}}(A)$ by using ... More

Separation axioms of $α^{m}$-open setsJan 14 2016In this paper, we introduce $T_{\alpha^{m}}$-Spaces, $\alpha^{m}$-closed maps and $\alpha^{m}$-open maps and studied some of their properties.

Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction diffusion equationsApr 06 2010Nov 18 2010Using spatial domain techniques developed by the authors and Myunghyun Oh in the context of parabolic conservation laws, we establish under a natural set of spectral stability conditions nonlinear asymptotic stability with decay at Gaussian rate of spatially ... More

Inhomogeneous random graphs, isolated vertices, and Poisson approximationJul 25 2015Sep 20 2017Consider a graph on randomly scattered points in an arbitrary space, with two points $x,y$ connected with probability $\phi(x,y)$. Suppose the number of points is large but the mean number of isolated points is $O(1)$. We give general criteria for the ... More

Non-triviality of the vacancy phase transition for the Boolean modelJun 07 2017Jul 23 2018In the spherical Poisson Boolean model, one takes the union of random balls centred on the points of a Poisson process in Euclidean $d$-space with $d \geq 2$. We prove that whenever the radius distribution has a finite $d$-th moment, there exists a strictly ... More

Leaves on the line and in the planeJun 10 2018Jul 21 2018The Dead Leaves Model (DLM) provides a random tessellation of $d$-space, representing the visible portions of fallen leaves on the ground when $d=2$. For $d=1$, we establish formulae for the intensity, two-point correlations, and asymptotic covariances ... More

Deformation Theory and Partition Lie AlgebrasApr 15 2019May 15 2019A theorem of Lurie and Pridham establishes a correspondence between formal moduli problems and differential graded Lie algebras in characteristic zero, thereby formalising a well-known principle in deformation theory. We introduce a variant of differential ... More

Relaxing the $W'$ constraint on compactified extra-dimensionApr 17 2019It has been known for some time that the inclusion of brane fluctuations, namely branons, helps in the suppression of KK-mode couplings to brane localised matter fields. In this paper we study the constraint on brane tension and compactification scale ... More

A-infinity algebras, strand algebras, and contact categoriesMar 17 2018Jun 03 2018In previous work we showed that the contact category algebra of a quadrangulated surface is isomorphic to the homology of a strand algebra from bordered sutured Floer theory. Being isomorphic to the homology of a differential graded algebra, this contact ... More

Chord diagrams, contact-topological quantum field theory, and contact categoriesMar 08 2009Jun 28 2010We consider contact elements in the sutured Floer homology of solid tori with longitudinal sutures, as part of the (1+1)-dimensional topological quantum field theory defined by Honda--Kazez--Mati\'{c} in \cite{HKM08}. The $\Z_2$ $SFH$ of these solid tori ... More

An Inapproximability Result for the Target Set Selection Problem on Bipartite GraphsDec 04 2018Given an undirected graph $\mathcal{G}(V, E, \tau)$ modeling a 'social network', where each node $v$ is associated with a threshold value $\tau(v)$, a set of vertices $\mathcal{S} \subseteq V(\mathcal{G})$ (called 'seed nodes') is chosen initially. Now ... More

Unparticle physics at hadron collider via dilepton productionMay 31 2007Oct 24 2007The scale invariant unparticle physics recently proposed by Georgi could manifest at low energies as non integral number d_U of invisible particles. Unparticles if existing, could couple to the Standard Model fields and consequently affect the collider ... More

Angular distribution of Drell-Yan process at hadron colliders to NLO-QCD in models of TeV scale gravityJul 21 2005Jul 19 2006In TeV scale gravity models, for dilepton production at hadron colliders, we present the NLO-QCD corrections for the double differential cross section in the invariant mass and scattering angle. For both ADD and RS models, the quantitative impact of QCD ... More

Optical spectroscopy of Classical Be stars in open clustersAug 30 2011We present a spectroscopic study of 150 Classical Be stars in 39 open clusters using medium resolution spectra in the wavelength range 3800 - 9000 \AA. One-third of the sample (48 stars in 18 clusters) has been studied for the first time. All these candidates ... More

Comments on the ERA-2005 numerical theory of Earth rotationSep 30 2007Two papers recently published in Celestial Mechanics (Krasinsky 2006, and Krasinsky and Vasilyev 2006) have presented a model for Earth-rotation variations, called ERA-2005, based on numerical integration of a new set of equations for the rotation of ... More

Functional equations for Mahler measures of genus-one curvesDec 01 2006Feb 09 2007In this paper we will establish functional equations for Mahler measures of families of genus-one two-variable polynomials. These families were previously studied by Beauville, and their Mahler measures were considered by Boyd, Rodriguez-Villegas, Bertin, ... More

Random parking, Euclidean functionals, and rubber elasticityMar 06 2012We study subadditive functions of the random parking model previously analyzed by the second author. In particular, we consider local functions $S$ of subsets of $\mathbb{R}^d$ and of point sets that are (almost) subadditive in their first variable. Denoting ... More

Tight contact structures on Seifert surface complementsSep 29 2017We consider complements of standard Seifert surfaces of special alternating links. On these handlebodies, we use Honda's method to enumerate those tight contact structures whose dividing sets are isotopic to the link, and find their number to be the leading ... More

Tunneling in energy eigenstates and complex quantum trajectoriesDec 18 2015Complex quantum trajectory approach, which arose from a modified de Broglie-Bohm interpretation of quantum mechanics, has attracted much attention in recent years. The exact complex trajectories for the Eckart potential barrier and the soft potential ... More

Position measurement-induced collapse states: Proposal of an experimentJul 15 2019In an earlier work, it was shown that single-slit diffraction can be considered as position measurement of particles and that the diffraction patterns result from the evolution of the collapsed quantum wave function after such measurement. This quantum ... More

Percolation and limit theory for the Poisson lilypond modelAug 04 2010The lilypond model on a point process in $d$-space is a growth-maximal system of non-overlapping balls centred at the points. We establish central limit theorems for the total volume and the number of components of the lilypond model on a sequence of ... More

SU(3)-Goodman-de la Harpe-Jones subfactors and the realisation of SU(3) modular invariantsJun 23 2009Sep 02 2009We complete the realisation by braided subfactors, announced by Ocneanu, of all SU(3)-modular invariant partition functions previously classified by Gannon.

Nonlinear stability of periodic traveling wave solutions of viscous conservation laws in dimensions one and twoDec 30 2009Jan 07 2010Extending results of Oh and Zumbrun in dimensions $d\ge 3$, we establish nonlinear stability and asymptotic behavior of spatially-periodic traveling-wave solutions of viscous systems of conservation laws in critical dimensions $d=1,2$, under a natural ... More

Overcoming model simplifications when quantifying predictive uncertaintyMar 21 2017It is generally accepted that all models are wrong -- the difficulty is determining which are useful. Here, a useful model is considered as one that is capable of combining data and expert knowledge, through an inversion or calibration process, to adequately ... More

Interacting holographic Ricci dark energy as running vacuumJul 02 2018Aug 29 2018Earlier studies have shown that, in a two component model of the universe with dark matter and the running vacuum energy which is phenomenologically a combination of $H^2$ and $\dot{H},$ produces either eternal deceleration or acceleration in the absence ... More

Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal HeatingJan 29 2001X-ray observations of hot gas in galaxy groups indicate higher entropies than can be achieved in the accretion shocks as it fell into the dark halos. It has been proposed that this entropy excess results from some universal external heating process in ... More

Energetics of X-ray Cavities and Radio Lobes in Galaxy ClustersMay 16 2008We describe the formation and evolution of X-ray cavities in the hot gas of galaxy clusters. The cavities are formed only with relativistic cosmic rays that eventually diffuse into the surrounding gas. We explore the evolution of cavities formed with ... More

Creation of the X-ray Cavity Jet and its Radio Lobe in M87/Virgo with Cosmic Rays; Relevance to Relic Radio SourcesNov 27 2007Dec 06 2007Young cavities in the X-ray emitting hot gas in galaxy clusters are often filled with radio synchrotron emission and it is widely thought that the cavities are inflated by these cosmic rays. At a later stage of its evolution, when the cavity becomes buoyant, ... More

Heated Cooling FlowsMar 22 2002In conventional models of galactic and cluster cooling flows widespread cooling (mass dropout) is assumed to avoid accumulation of unacceptably large central masses. However, recent XMM observations have failed to find spectral evidence for locally cooling ... More

Where Do Cooling Flows Cool?Feb 21 2000Although only about 5 percent of the total baryonic mass in luminous elliptical galaxies is in the form of cooled interstellar gas, it is concentrated within the optical effective radius r_e where it influences the local dynamical mass. The mass of cooled ... More

Chandra Detection of Massive Black Holes in Galactic Cooling FlowsOct 31 1999Anticipating forthcoming observations with the Chandra X-ray telescope, we describe the continuation of interstellar cooling flows deep into the cores of elliptical galaxies. Interstellar gas within about r = 50 parsecs from the massive black hole is ... More

The Little Phone That Could Ch-Ch-ChrootJun 17 2019Security testing has been a career path that many are beginning to take. In doing so, security testing can hit the realms of many different types of engagements, ranging from web, infrastructure and social engineering. With the risk of sabotage, corporate ... More

A Dirac-type Characterization of k-chordal GraphsJun 23 2012Dec 31 2012Characterization of k-chordal graphs based on the existence of a "simplicial path" was shown in [Chv{\'a}tal et al. Note: Dirac-type characterizations of graphs without long chordless cycles. Discrete Mathematics, 256, 445-448, 2002]. We give a characterization ... More

Source region of the 2003 November 18 CME that led to the strongest magnetic storm of cycle 23Dec 30 2008The super-storm of November 20, 2003 was associated with a high speed coronal mass ejection which originated in the NOAA AR 10501 on November 18. This coronal mass ejection had severe terrestrial consequences leading to a geomagnetic storm with DST index ... More

Measurements of gondola motion on a stratospheric balloon flightJul 21 2016Balloon experiments are an economically feasible method of conducting observations in astronomy that are not possible from the ground. The astronomical payload may include a telescope, a detector, and a pointing/stabilization system. Determining the attitude ... More

Bulk viscous matter and recent acceleration of the universe based on causal viscous theoryAug 08 2017Apr 20 2018Evolution of the bulk viscous matter dominated universe has been analysed using the full causal, Israel-Stewart theory for the evolution of bulk viscous pressure in the context of recent acceleration of the universe. The form of bulk viscosity is taken ... More

A Merger Model and Globular Cluster FormationAug 17 1994We propose a self-consistent model for globular cluster formation in, but not limited to, our Galaxy, based on the merger model of Mathews and Schramm (1993). Stars and star clusters form in bursts at the merging interfaces as protogalactic clouds collide. ... More

Late Decaying Dark Matter, Bulk Viscosity and the Cosmic AccelerationJan 06 2008We discuss a cosmology in which cold dark matter begins to decay into relativistic particles at a recent epoch (z < 1). We show that the large entropy production and associated bulk viscosity from such decays leads to an accelerating cosmology as required ... More

Narrow-Band Imaging System for the Multi-application Solar Telescope at Udaipur Solar Observatory: Characterization of Lithium Niobate EtalonsJul 29 2014Multi-application Solar Telescope is a 50 cm off-axis Gregorian telescope that has been installed at the lake site of Udaipur Solar Observatory. For quasi-simultaneous photospheric and chromospheric observations, a narrow-band imager has been developed ... More

Universal Lepton Asymmetry: New Constraints from the Cosmic Microwave Background and Primordial NucleosynthesisFeb 06 2002We study the primordial nucleosynthesis and cosmic age in the presence of a net lepton asymmetry as well as baryon asymmetry. We explore a previously unnoted region of the parameter space in which very large baryon densities $0.1 \le \Omega_b \le 1$ can ... More

Neutrino Degeneracy and Decoupling: New Limits from Primordial Nucleosynthesis and the Cosmic Microwave BackgroundMay 23 2000Feb 22 2001We reanalyze the cosmological constraints on the existence of a net universal lepton asymmetry and neutrino degeneracy. We show that neutrinos can begin to decouple at higher temperatures than previous estimates due to several corrections which diminish ... More

Geometrical Effects of Baryon Density Inhomogeneities on Primordial NucleosynthesisSep 19 1996We discuss effects of fluctuation geometry on primordial nucleosynthesis. For the first time we consider condensed cylinder and cylindrical-shell fluctuation geometries in addition to condensed spheres and spherical shells. We find that a cylindrical ... More

Extending some results on the second neighborhood conjectureAug 07 2018Jan 10 2019A vertex in a directed graph is said to have a large second neighborhood if it has at least as many second out-neighbors as out-neighbors. The Second Neighborhood Conjecture, first stated by Seymour, asserts that there is a vertex having a large second ... More

Halo White Dwarfs and the Hot Intergalactic MediumApr 17 1996Oct 07 1996We present a schematic model for the formation of baryonic galactic halos and hot gas in the Local Group and the intergalactic medium. We follow the dynamics, chemical evolution, heat flow and gas flows of a hierarchy of scales, including: protogalactic ... More

An upper bound for Cubicity in terms of BoxicityMay 17 2006An axis-parallel b-dimensional box is a Cartesian product $R_1 \times R_2 \times ... \times R_b$ where each $R_i$ (for $1 \leq i \leq b$) is a closed interval of the form $[a_i,b_i]$ on the real line. The boxicity of any graph $G$, box(G) is the minimum ... More

Segment representation of a subclass of co-planar graphsNov 05 2010A graph is said to be a segment graph if its vertices can be mapped to line segments in the plane such that two vertices have an edge between them if and only if their corresponding line segments intersect. Kratochv\'{i}l and Kub\v{e}na [``On intersection ... More

Expanding the Bethe/Gauge DictionaryAug 01 2017We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d N = (2,2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz. We construct the wave functions of off-shell Bethe states as orbifold defects in ... More

Generalized Solitary Waves in the Gravity-Capillary Whitham EquationJul 30 2018We study the existence of traveling wave solutions to a unidirectional shallow water model which incorporates the full linear dispersion relation for both gravitational and capillary restoring forces. Using functional analytic techniques, we show that ... More

Laws of large numbers and nearest neighbor distancesNov 02 2009We consider the sum of power weighted nearest neighbor distances in a sample of size n from a multivariate density f of possibly unbounded support. We give various criteria guaranteeing that this sum satisfies a law of large numbers for large n, correcting ... More

On the total length of the random minimal directed spanning treeSep 13 2004In Bhatt and Roy's minimal directed spanning tree (MDST) construction for a random partially ordered set of points in the unit square,all edges must respect the ``coordinatewise'' partial order and there must be a directed path from each vertex to a minimal ... More

Fractional cross intersecting familiesMar 05 2019Let $\mathcal{A}=\{A_{1},...,A_{p}\}$ and $\mathcal{B}=\{B_{1},...,B_{q}\}$ be two families of subsets of $[n]$ such that for every $i\in [p]$ and $j\in [q]$, $|A_{i}\cap B_{j}|= \frac{c}{d}|B_{j}|$, where $\frac{c}{d}\in [0,1]$ is an irreducible fraction. ... More

Topological recursion and a quantum curve for monotone Hurwitz numbersAug 18 2014Classical Hurwitz numbers count branched covers of the Riemann sphere with prescribed ramification data, or equivalently, factorisations in the symmetric group with prescribed cycle structure data. Monotone Hurwitz numbers restrict the enumeration by ... More

Adaptive structured low rank algorithm for MR image recoveryMay 14 2018We introduce an adaptive structured low rank algorithm to recover MR images from their undersampled Fourier coefficients. The image is modeled as a combination of a piecewise constant component and a piecewise linear component. The Fourier coefficients ... More

A Harnack-Type Inequality for a Prescribing Curvature equation on a Domain with BoundarySep 04 2013In this paper we consider a class of prescribing curvature type equations on half Euclidean balls. Under suitable assumptions on the scalar curvature function and boundary mean curvature function we prove a min-max type inequality and the corresponding ... More

An approximation result for a class of stochastic heat equations with colored noiseNov 21 2016We show that a large class of stochastic heat equations can be approximated by systems of interacting stochastic differential equations. As a consequence, we prove various comparison principles extending earlier results. Among other things, our results ... More

Structured low-rank recovery of piecewise constant signals with performance guaranteesApr 17 2016We derive theoretical guarantees for the exact recovery of piecewise constant two-dimensional images from a minimal number of non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities of the image are localized ... More

Morse structures on partial open books with extendable monodromyFeb 24 2017The first author in recent work with D. Gay developed the notion of a Morse structure on an open book as a tool for studying closed contact 3-manifolds. We extend the notion of Morse structure to extendable partial open books in order to study contact ... More

Measuring the Small-Scale Matter Power Spectrum with High-Resolution CMB LensingOct 10 2017Nov 08 2018We present a method to measure the small-scale matter power spectrum using high-resolution measurements of the gravitational lensing of the Cosmic Microwave Background (CMB). To determine whether small-scale structure today is suppressed on scales below ... More

A General Algorithm For Compensation Of Trajectory Errors: Application To Radial ImagingFeb 03 2018Feb 09 2018Purpose: To reconstruct artifact-free images from measured k-space data, when the actual k-space trajectory deviates from the nominal trajectory due to gradient imperfections. Methods: Trajectory errors arising from eddy currents and gradient delays introduce ... More

Pre-main sequence stars, emission stars and recent star formation in the Cygnus RegionApr 09 2008The recent star formation history in the Cygnus region is studied using 5 clusters (IC 4996, NGC 6910, Berkeley 87, Biurakan 2 and Berkeley 86). The optical data from the literature are combined with the 2MASS data to identify the pre-main sequence (pre-MS) ... More

Biomedical Named Entity Recognition via Reference-Set Augmented BootstrappingJun 01 2019We present a weakly-supervised data augmentation approach to improve Named Entity Recognition (NER) in a challenging domain: extracting biomedical entities (e.g., proteins) from the scientific literature. First, we train a neural NER (NNER) model over ... More

Dimension of CPT posetsFeb 26 2018A containment model $M_{\mathcal{P}}$ of a poset $\mathcal{P}=(X,\preceq)$ maps every $x \in X$ to a set $M_x$ such that, for every distinct $x,y \in X,\ x \preceq y$ if and only if $M_x \varsubsetneq M_y$. We shall be using the collection $(M_x)_{x \in ... More

A Generalized Structured Low-Rank Matrix Completion Algorithm for MR Image RecoveryNov 27 2018Recent theory of mapping an image into a structured low-rank Toeplitz or Hankel matrix has become an effective method to restore images. In this paper, we introduce a generalized structured low-rank algorithm to recover images from their undersampled ... More

Transverse structure function in the factorisation methodJul 22 1996Aug 08 1996Deep Inelastic scattering experiments using transversely polarised targets yield information on the structure function $g_2$. By means of a free-field analysis, we study the operator structure of $g_2$ and demonstrate the need for retaining the twist ... More

NSEEN: Neural Semantic Embedding for Entity NormalizationNov 19 2018Jun 29 2019Much of human knowledge is encoded in text, available in scientific publications, books, and the web. Given the rapid growth of these resources, we need automated methods to extract such knowledge into machine-processable structures, such as knowledge ... More

Warping Resilient Time Series EmbeddingsJun 12 2019Time series are ubiquitous in real world problems and computing distance between two time series is often required in several learning tasks. Computing similarity between time series by ignoring variations in speed or warping is often encountered and ... More

Be phenomenon in open clusters: Results from a survey of emission-line stars in young open clustersApr 09 2008Emission-line stars in young open clusters are identified to study their properties, as a function of age, spectral type and their evolutionary state. 207 open star clusters were observed using slitless spectroscopy method and 157 emission stars were ... More

Sound localization using compressive sensingFeb 28 2013In a sensor network with remote sensor devices, it is important to have a method that can accurately localize a sound event with a small amount of data transmitted from the sensors. In this paper, we propose a novel method for localization of a sound ... More

Strong invariance and noise-comparison principles for some parabolic stochastic PDEsApr 28 2014We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real ... More

Negative Results for Software Effort EstimationSep 18 2016Sep 22 2016Context:More than half the literature on software effort estimation (SEE) focuses on comparisons of new estimation methods. Surprisingly, there are no studies comparing state of the art latest methods with decades-old approaches. Objective:To check if ... More

Multi-focal tensors as invariant differential formsOct 13 2016For each relative $\operatorname{GL}(V)$-invariant tensor $I\in \Lambda^{p_1+1}V^{\vee}\otimes .. \otimes \Lambda^{p_n+1}V^{\vee}$ we construct a $\operatorname{GL}(V)$-invariant weighted differential form $\eta$ on $(\mathbb{P} V)^{n}$. Then $\eta$ is ... More

Identifying collusion groups using spectral clusteringSep 22 2015Oct 17 2016In an illiquid stock, traders can collude and place orders on a predetermined price and quantity at a fixed schedule. This is usually done to manipulate the price of the stock or to create artificial liquidity in the stock, which may mislead genuine investors. ... More

NGC 7419: A young open cluster with a number of very young intermediate mass pre-MS starsApr 30 2006May 02 2006We present a photometric and spectroscopic study of the young open cluster NGC 7419, which is know to host a large number of classical Be stars for reasons not well understood. Based on CCD photometric observations of 327 stars in UBV passbands, we estimated ... More

Synthetic gauge fields for phonon transport in a nano-optomechanical systemDec 21 2018Jan 17 2019Gauge fields play important roles in condensed matter, explaining for example nonreciprocal and topological transport phenomena. Establishing gauge potentials for phonon transport in nanomechanical systems would bring quantum Hall physics to a new domain, ... More

Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge TheoryMar 28 2016Aug 04 2016We introduce several families of $\mathcal{N}=(2,2)$ UV boundary conditions in 3d $\mathcal N=4$ gauge theories and study their IR images in sigma-models to the Higgs and Coulomb branches. In the presence of Omega deformations, a UV boundary condition ... More

Graph-theoretic perspective on a special class of Steiner SystemsOct 21 2014Oct 23 2014We study $S(t-1,t,2t)$, which is a special class of Steiner systems. Explicit constructions for designing such systems are developed under a graph-theoretic platform where Steiner systems are represented in the form of uniform hypergraphs. The constructions ... More

A lagrangian description of elastic motion in riemannian manifolds and an angular invariant of axially-symmetric elasticity tensorsDec 24 2013This article is a description of elasticity theory for readers with mathematical background. The first sections are an abridgment of parts of the book by Marsden and Hughes, including a compact identification of the equations of motion as the Euler-Lagrange ... More

Analytic perturbations and systematic bias in statistical modeling and inferenceMay 15 2008In this paper we provide a comprehensive study of statistical inference in linear and allied models which exhibit some analytic perturbations in their design and covariance matrices. We also indicate a few potential applications. In the theory of perturbations ... More

Encoder Based Lifelong LearningApr 06 2017This paper introduces a new lifelong learning solution where a single model is trained for a sequence of tasks. The main challenge that vision systems face in this context is catastrophic forgetting: as they tend to adapt to the most recently seen task, ... More

Approximation bounds on maximum edge 2-coloring of dense graphsOct 01 2018For a graph $G$ and integer $q\geq 2$, an edge $q$-coloring of $G$ is an assignment of colors to edges of $G$, such that edges incident on a vertex span at most $q$ distinct colors. The maximum edge $q$-coloring problem seeks to maximize the number of ... More

Big Bang Nucleosynthesis with long-lived strongly interacting relic particlesJan 09 2010We study effects of relic long-lived strongly interacting massive particles (X particles) on big bang nucleosynthesis (BBN). The X particle is assumed to have existed during the BBN epoch, but decayed long before detected. The interaction strength between ... More

Effect of Long-lived Strongly Interacting Relic Particles on Big Bang NucleosynthesisJun 18 2009It has been suggested that relic long-lived strongly interacting massive particles (SIMPs, or $X$ particles) existed in the early universe. We study effects of such long-lived unstable SIMPs on big bang nucleosynthesis (BBN) assuming that such particles ... More

Hamiltonian and Pseudo-Hamiltonian Cycles and Fillings In Simplicial ComplexesJul 18 2019We introduce and study a $d$-dimensional generalization of Hamiltonian cycles in graphs - the Hamiltonian $d$-cycles in $K_n^d$ (the complete simplicial $d$-complex over a vertex set of size $n$). Those are the simple $d$-cycles of a complete rank, or, ... More

Bayesian analysis of bulk viscous matter dominated universeMar 22 2018Apr 20 2018In our previous works, we have analyzed the evolution of bulk viscous matter dominated universe with a more general form for bulk viscous coefficient, $\zeta=\zeta_{0}+\zeta_{1}\frac{\dot{a}}{a}+\zeta_{2}\frac{\ddot{a}}{\dot{a}}$ and also carried out ... More

Infrared studies of the Be star X PerApr 06 2012Photometric and spectroscopic results are presented for the Be star X Per/HD 24534 from near-infrared monitoring in 2010-2011. The star is one of a sample of selected Be/X-ray binaries being monitored by us in the near-IR to study correlations between ... More

Properties of sunspots in cycle 23: I. Dependence of brightness on sunspot size and cycle phaseJan 13 2007In this paper we investigate the dependence of umbral core brightness, as well as the mean umbral and penumbral brightness on the phase of the solar cycle and on the size of the sunspot. Albregtsen & Maltby (1978) reported an increase in umbral core brightness ... More

Direct transfer of classical non-separable state into hybrid entangled two photon stateNov 26 2016Hybrid entangled states, having entanglement between different degrees-of-freedom (DoF) of a particle pair, are of great interest for quantum information science and communication protocols. Among different DoFs, the hybrid entangled states encoded with ... More

Spin-analysis of s-channel diphoton resonances at the LHCAug 18 2011The high mass neutral quantum states envisaged by theories of physics beyond the standard model can at the hadron colliders reveal themselves through their decay into a pair of photons. Once such a peak in the diphoton invariant mass distribution is discovered, ... More