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Non-Stationary Streaming PCAFeb 08 2019Mar 30 2019We consider the problem of streaming principal component analysis (PCA) when the observations are noisy and generated in a non-stationary environment. Given $T$, $p$-dimensional noisy observations sampled from a non-stationary variant of the spiked covariance ... More

Variance-Aware Optimal Power FlowNov 02 2017The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or chance constraints, ... More

Non-Stationary Streaming PCAFeb 08 2019We consider the problem of streaming principal component analysis (PCA) when the observations are noisy and generated in a non-stationary environment. Given $T$, $p$-dimensional noisy observations sampled from a non-stationary variant of the spiked covariance ... More

Exhaustive Verification of Weak Reconstruction For Self Complementary GraphsDec 29 2010This paper presents an exhaustive approach for verification of the weak reconstruction of Self Complementary Graphs up to 17 vertices. It describes the general problem of the Reconstruction Conjecture, explaining the complexity involved in checking deck-isomorphism ... More

A Stochastic Differential Equation Framework for Guiding Information DiffusionMar 30 2016May 24 2016The information content of a node in information networks is influenced by its neighbors in the networks. Recently there has been much work on modeling information diffusion, but few has integrated these models for online decision making. A framework ... More

Efficient nonlinear generation of high power, higher order, ultrafast "perfect" vortices in greenJan 11 2016We report on efficient nonlinear generation of ultrafast, higher order "perfect" vortices at the green wavelength. Based on Fourier transformation of the higher order Bessel-Gauss beam generated through the combination of spiral phase plate and axicon ... More

A Stochastic Differential Equation Framework for Guiding Information DiffusionMar 30 2016Oct 18 2016The information content of a node in information networks is influenced by its neighbors in the networks. Recently there have been many works on modeling information diffusion, but few have integrated these models for online decision making. A framework ... More

Dr. Tux: A Question Answering System for Ubuntu usersAug 25 2018Various forums and question answering (Q&A) sites are available online that allow Ubuntu users to find results similar to their queries. However, searching for a result is often time consuming as it requires the user to find a specific problem instance ... More

A Stochastic Differential Equation Framework for Guiding Online User Activities in Closed LoopMar 30 2016May 22 2018Recently, there is a surge of interest in using point processes to model continuous-time user activities. This framework has resulted in novel models and improved performance in diverse applications. However, most previous works focus on the "open loop" ... More

Thermodynamics of protein folding: a random matrix formulationOct 16 2010The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon molecules. Our study, ... More

Hysteresis in the Ising model with Glauber dynamicsDec 30 2017Jun 20 2018We use Glauber dynamics to study frequency and temperature dependence of hysteresis loops in the pure (without quenched disorder) Ising model on cubic, square, honeycomb lattices and random graphs. Results are discussed in the context of more extensive ... More

Voter Dynamics on an Ising Ladder: Coarsening and PersistenceJan 31 2005Jun 06 2005Coarsening and persistence of Ising spins on a ladder is examined under voter dynamics. The density of domain walls decreases algebraically with time as $t^-{1/2}$ for sequential as well as parallel dynamics. The persistence probability decreases as $t^{-\theta_{s}}$ ... More

Non-Hermiticity and UniversalityMay 01 2001. We study the statistical properties of the eigenvalues of non-Hermitian operators assoicated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. ... More

Towards a common thread in Complexity: an accuracy-based approachJul 25 2008The complexity of a system, in general, makes it difficult to determine some or almost all matrix elements of its operators. The lack of accuracy acts as a source of randomness for the matrix elements which are also subjected to an external potential ... More

Driven Random Field Ising Model: some exactly solved examples in threshold activated kineticsJan 15 2004The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained analytically on ... More

Level-Statistics of Disordered Systems: a Single Parametric FormulationOct 01 2002We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders behaves in a way similar to that of the single parametric Brownian ensembles. The latter appear during aPoisson $\to$ Wigner-Dyson ... More

Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac fieldJun 05 2019Jul 12 2019Parity preserving relativistic fluids in four spacetime dimensions admit seven independent thermodynamic susceptibilities at the second order in the hydrodynamic derivative expansion. We compute all parity even second order thermodynamic susceptibilities ... More

Single-pass, second harmonic generation of ultrafast, higher order vector vortex beams at blueFeb 07 2019We report a novel experimental scheme for single-pass second harmonic generation (SHG) of vector vortex beam in the blue. Using an ultrafast Ti:Sapphire laser of pulse width ~17 fs and a set of spiral phase plates in polarization based Mach-Zehnder interferometer ... More

Eigenfunction statistics of Laguerre Brownian ensembleSep 23 2016Oct 10 2016We theoretically analyze the eigenfunction fluctuation measures for a Hermitian ensemble which appears as an intermediate state of the perturbation of a stationary ensemble by another stationary ensemble of Laguerre type. Similar to the perturbation by ... More

Compton Scattering on Light NucleiDec 22 2009Compton scattering on light nuclei ($A=2,3$) has emerged as an effective avenue to search for signatures of neutron polarizabilities, both spin--independent and spin--dependent ones. In this discussion I will focus on the theoretical aspect of Compton ... More

Disorder perturbed Flat Bands II: a search for criticalityJul 05 2018Nov 09 2018We seek the possibility of a disorder driven transition in a tight-binding lattice with a flat band using complexity parameter approach. Our results indicate the existence of a localized to extended states transition with increasing disorder, insensitive ... More

Domains and Interfaces in Random FieldsJan 15 2004We analyze the energetics of domains and interfaces in the presence of quenched random fields, particularly at the lower critical dimension of the random field Ising model. The relevance of this study to experiments is also discussed.

Implementing odd-axions in dimensional oxidation of non-geometric type IIB actionJul 06 2015Nov 24 2015In a setup of type IIB superstring compactification on an orientifold of a ${\mathbb T}^6/{\mathbb Z}_4$ sixfold, the presence of geometric flux ($\omega$) and non-geometric fluxes ($Q, R$) is implemented along with the standard NS-NS and RR three-form ... More

Higher Order Correlations in Quantum Chaotic SpectraNov 27 1996Nov 28 1996The statistical properties of the quantum chaotic spectra have been studied, so far, only up to the second order correlation effects. The numerical as well as the analytical evidence that random matrix theory can successfully model the spectral fluctuatations ... More

Correlated theory of triplet photoinduced absorption in phenylene-vinylene chainsJan 07 2002In this paper we present results of large-scale correlated calculations of triplet photoinduced absorption (PA) spectrum of oligomers of poly-(para)phenylenevinylene (PPV) containing up to five phenyl rings. In particular, the high-energy features in ... More

Some Interesting Connections!Aug 02 2018One source of beauty in mathematics is totally unexpected connections between two fundamentally different objects. For instance, is it not surprising that the time period of a real simple pendulum is linked with a function arising out of finding the number ... More

Interior of Schwarzschild black hole as a relativistic free particleFeb 13 2014Jul 09 2015Using the standard Hamiltonian approach followed by ADM formalism to the geometry of a Schwarzschild black hole, we show that the interior spacetime of Schwarzschild black hole behaves like a relativistic free particle with Planck mass $M_{p}$. We further ... More

A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable ApproachSep 15 2015By exploiting the supersymmetric invariant restrictions on the chiral and anti-chiral supervariables, we derive the off-shell nilpotent symmetry transformations for a specific (0 + 1)-dimensional N = 2 supersymmetric quantum mechanical model which is ... More

Construction of models of universe on the Riemann hypothesisDec 09 2015Oct 20 2016The aim of this note is to remove an implausible assumption in Moser's theorem \cite{JM} to establish our new theorem 1 which gives a lower estimate for the sum $p+c^2\rho$ on Riemann hypothesis. Corollary 1 gives a rather plausible construction of infinitely ... More

Reading off the non-geometric scalar potentials via topological data of the Calabi Yau manifoldsMar 03 2016Aug 31 2016In the context of studying the 4D effective potentials of type IIB non-geometric flux compactifications, this article has a twofold goal. First, we present a modular invariant symplectic rearrangement of the tree level non-geometric scalar potential arising ... More

Topics In Large Volume Swiss-Cheese Compactification GeometriesMay 02 2011Jun 06 2011In this review article, we present a systematic study of large volume type IIB string compactifications that addresses several interesting issues in string cosmology and string phenomenology within a single string compactification scheme. The issues in ... More

Eigenfunction statistics of Laguerre Brownian ensembleSep 23 2016May 03 2017We theoretically analyze the eigenfunction fluctuation measures for a Hermitian ensemble which appears as an intermediate state of the perturbation of a stationary ensemble by another stationary ensemble of Laguerre type. Similar to the perturbation by ... More

A symplectic rearrangement of the four dimensional non-geometric scalar potentialAug 05 2015Nov 11 2015We present a symplectic rearrangement of the effective four-dimensional non-geometric scalar potential resulting from type IIB superstring compactification on Calabi Yau orientifolds. The strategy has two main steps. In the first step, we rewrite the ... More

A quasiparticle description of the equation of state in SU(3) lattice QCDJan 06 2002The lattice data for $N_f=2$ and $N_f=3$ based on staggered fermion formulations have been parameterized using a phenomenological equation of state for noninteracting but massive quasiparticles. Such a model would be a preferable starting point for phenomenological ... More

Eigenvalue Correlations For Banded MatricesDec 15 1998We study the evolution of the distribution of eigenvalues of $N\times N$ matrix ensembles subject to a change of variances of its matrix elements. Our results indicate that the evolution of the probability density is governed by a Fokker- Planck equation ... More

Alternative Technique for "Complex" Spectra AnalysisJan 21 2000Sep 08 2000. The choice of a suitable random matrix model of a complex system is very sensitive to the nature of its complexity. The statistical spectral analysis of various complex systems requires, therefore, a thorough probing of a wide range of random matrix ... More

On the Distribution of zeros of chaotic wavefunctionMay 29 1997The wavefunctions in phase-space representation can be expressed as entire functions of their zeros if the phase space is compact. These zeros seem to hide a lot of relevant and explicit information about the underlying classical dynamics. Besides, an ... More

Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac fieldJun 05 2019Parity preserving relativistic fluids in four spacetime dimensions admit seven independent thermodynamic susceptibilities at the second order in the hydrodynamic derivative expansion. We compute all parity even second order thermodynamic susceptibilities ... More

A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable ApproachSep 15 2015Feb 21 2017By exploiting the supersymmetric invariant restrictions on the chiral and anti-chiral supervariables, we derive the off-shell nilpotent symmetry transformations for a specific (0 + 1)-dimensional N = 2 supersymmetric quantum mechanical model which is ... More

Sentiment Analysis of Document Based on AnnotationNov 07 2011I present a tool which tells the quality of document or its usefulness based on annotations. Annotation may include comments, notes, observation, highlights, underline, explanation, question or help etc. comments are used for evaluative purpose while ... More

Random Field Ising ModelJan 15 2004Recent work on random field Ising model is described briefly emphasizing exact solutions of the model in simple cases and their relevance in understanding equilibrium and non-equilibrium properties of systems with quenched disorder.

Glauber model for heavy ion collisions from low energies to high energiesDec 13 2001The Glauber model is extensively applied to heavy ion collision for describing a number of interaction processes over a wide range of energies from near the Coulomb barrier to higher energies. The model gives the nucleus-nucleus interaction in terms of ... More

Eigenfunction Statistics of Complex Systems: A Common Mathematical FormulationApr 30 2005May 04 2007We derive a common mathematical formulation for the eigenfunction statistics of Hermitian operators, represented by a multi-parametric probability density. The system-information in the formulation enters through two parameters only, namely, system size ... More

Level Correlations for Metal-Insulator TransitionJan 20 2001We study the level-statistics of a disordered system undergoing the Anderson type metal-insulator transition. The disordered Hamiltonian is a sparse random matrix in the site representation and the statistics is obtained by taking an ensemble of such ... More

Exact Solution of Return Hysteresis Loops in One Dimensional Random Field Ising Model at Zero TemperatureApr 09 2000Minor hysteresis loops within the main loop are obtained analytically and exactly in the one-dimensional ferromagnetic random field Ising-model at zero temperature. Numerical simulations of the model show excellent agreement with the analytical results. ... More

Disorder perturbed Flat Bands I: Level density and Inverse Participation RatioDec 10 2017Jul 05 2018We consider the effect of disorder on the tight-binding Hamiltonians with a flat band and derive a common mathematical formulation of the average density of states and inverse participation ratio applicable for a wide range of them. The system information ... More

Ancilla Assisted Quantum Information Processing: General protocols and NMR implementationsJan 02 2016While a bit is the fundamental unit of binary classical information, a qubit is the fundamental unit of quantum information. In quantum information processing (QIP), it is customary to call the qubits under study as system qubits, and the additional qubits ... More

Ensuring Cache Freshness in On-demand Routing Protocols for Mobile Ad Hoc Network: A Cross-layer FrameworkSep 13 2010Apr 21 2011One of the big challenges in ad hoc network design is packet routing. Studies have shown that on-demand routing protocols perform better than table-driven routing protocols. In order to avoid route discovery for each packet, on-demand routing protocols ... More

Theory of nonlinear optical properties of phenyl-substituted polyacetylenesMar 09 2004In this paper we present a theoretical study of the third-order nonlinear optical properties of poly(diphenyl)polyacetylene (PDPA) pertaining to the third-harmonic-generation (THG) process. We study the aforesaid process in PDPA's using both the independent ... More

Theory of two-photon absorption in poly(diphenyl) polyacetylenesFeb 21 2004In this paper, we present a theoretical study of the nonlinear optical response of the newly discovered conjugated polymer poly(diphenyl)polyacetylene (PDPA). In particular, we compute the third-order nonlinear susceptibility corresponding to two-photon ... More

Ab initio Hartree-Fock Born effective charges of LiH, LiF, LiCl, NaF, and NaClFeb 18 2000We use the Berry-phase-based theory of macroscopic polarization of dielectric crystals formulated in terms of Wannier functions, and state-of-the-art Gaussian basis functions, to obtain benchmark ab initio Hartree-Fock values of the Born effective charges ... More

Neighborhood complexes, homotopy test graphs and a contribution to a conjecture of HedetniemiOct 01 2018Oct 16 2018The neighborhood complex $\N(G)$ of a graph $G$ were introduced by L. Lov{\'a}sz in his proof of Kneser conjecture. He proved that for any graph $G$, \begin{align} \label{abstract} \chi(G) \geq conn(\N(G))+3. \end{align} In this article we show that for ... More

Eigenfunction statistics of Laguerre Brownian ensembleSep 23 2016We theoretically analyze the eigenfunction fluctuation measures for a Hermitian ensemble which appears as an intermediate state of the perturbation of a stationary ensemble by another stationary ensemble of Laguerre type. Similar to the perturbation by ... More

Gap Analysis of Natural Language Processing Systems with respect to Linguistic ModalityApr 18 2015Modality is one of the important components of grammar in linguistics. It lets speaker to express attitude towards, or give assessment or potentiality of state of affairs. It implies different senses and thus has different perceptions as per the context. ... More

Energy and angular distributions of atmospheric muons at the EarthJun 22 2016Jun 23 2016A fair knowledge of the atmospheric muon distributions at Earth is a prerequisite for the simulations of cosmic ray setups and rare event search detectors. A modified power law is proposed for atmospheric muon energy distribution which gives good description ... More

Homotopy type of the neighborhood complexes of $3$-regular graphs and $4$-regular circulant graphsFeb 13 2018To estimate a lower bound for the chromatic number of a graph $G$, Lov{\'a}sz \cite{l} associated a simplicial complex $\mathcal{N}(G)$ called the neighborhood complex and relates the topological connectivity of $\mathcal{N}(G)$ to the chromatic number ... More

Dynamics of bootstrap percolationJul 11 2009Bootstrap percolation transition may be first order or second order, or it may have a mixed character where a first order drop in the order parameter is preceded by critical fluctuations. Recent studies have indicated that the mixed transition is characterized ... More

Hysteresis in the zero-temperature random field Ising model on directed random graphsAug 15 2018Sep 18 2018We use zero-temperature Glauber dynamics to study hysteresis in the random-field Ising model on directed random graphs. The critical behavior of the model depends on the connectivity $z$ of the graph rather differently from that on undirected graphs. ... More

Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian EnsemblesJan 08 2004May 10 2005We find that the statistics of levels undergoing metal-insulator transition in systems with multi-parametric Gaussian disorders and non-interacting electrons behaves in a way similar to that of the single parametric Brownian ensembles \cite{dy}. The latter ... More

The Glauber model and the heavy ion reaction cross sectionFeb 13 2003We reexamine the Glauber model and calculate the total reaction cross section as a function of energy in the low and intermediate energy range, where many of the corrections in the model, are effective. The most significant effect in this energy range ... More

Exact Expressions for Minor Hysteresis Loops in the Random Field Ising Model on a Bethe Lattice at Zero TemperatureJul 24 2000Jan 15 2004We obtain exact expressions for the minor hysteresis loops in the ferromagnetic random field Ising model on a Bethe lattice at zero temperature in the case when the driving field is cycled infinitely slowly.

Moduli Thermalization and Finite Temperature Effects in "Big" Divisor Large Volume D3/D7 Swiss-Cheese CompactificationOct 25 2010Jan 09 2011In the context of Type IIB compactified on a large volume Swiss-Cheese orientifold in the presence of a mobile space-time filling D3-brane and stacks of fluxed D7-branes wrapping the "big" divisor Sigma_B of a Swiss-Cheese Calabi Yau in WCP^4 [1,1,1,6,9], ... More

Random Matrices with Correlated Elements: A Model for Disorder with InteractionsFeb 19 2004Mar 04 2005The complicated interactions in presence of disorder lead to a correlated randomization of states. The Hamiltonian as a result behaves like a multi-parametric random matrix with correlated elements. We show that the eigenvalue correlations of these matrices ... More

Universal Level dynamics of Complex SystemsOct 30 1998. We study the evolution of the distribution of eigenvalues of a $N\times N$ matrix subject to a random perturbation drawn from (i) a generalized Gaussian ensemble (ii) a non-Gaussian ensemble with a measure variable under the change of basis. It turns ... More

Revisiting the two formulations of Bianchi identities and their implications on moduli stabilizationMar 28 2016Aug 02 2016In the context of non-geometric type II orientifold compactifications, there have been two formulations for representing the various NS-NS Bianchi-identities. In the first formulation, the standard three-form flux ($H_3$), the geometric flux ($\omega$) ... More

On modular completion of generalized flux orbitsMay 04 2015Nov 11 2015In the context of type IIB orientifold compactification with the presence of (non-)geometric fluxes, we conjecture a modular completed version of the generalized flux-orbits of various NS-NS and RR fluxes. Subsequently, considering two explicit examples ... More

On the Reduction of Broadcast Traffic in Mobile Ad Hoc NetworksSep 14 2010Apr 21 2011Many mobile ad hoc network protocols use simple flooding, in order to adapt to changes in time varying network topology. Most of the times, a network-wide flood results in redundant packets and increases network congestion, probability of packet collision, ... More

Ab initio Hartree-Fock computation of electronic static structure factor of crystalline insulators: benchmark results on LiFMay 24 1999In this paper we present a fully ab initio Hartree-Fock approach aimed at calculating the static structure factor of crystalline insulators at arbitrary values of momentum transfer. In particular, we outline the computation of the incoherent scattering ... More

Generation of perfect vortex of variable size and its effect in angular spectrum of the down-converted photonsJan 13 2016The perfect vortex is a new class of optical vortex beam having ring radius independent of its topological charge (order). One of the simplest techniques to generate such beams is the Fourier transformation of the Bessel-Gauss beam. The variation in ring ... More

Hollow Gaussian beam generation through nonlinear interaction of photons with orbital-angular-momemtumJun 29 2016Hollow Gaussian beams (HGB) are a special class of doughnut shaped beams that do not carry orbital angular momentum (OAM). Such beams have a wide range of applications in many fields including atomic optics, bio-photonics, atmospheric science, and plasma ... More

Hierarchical quantum communicationJan 03 2013A general approach to study the hierarchical quantum information splitting (HQIS) is proposed and the same is used to systematically investigate the possibility of realizing HQIS using different classes of 4-qubit entangled states that are not connected ... More

Direct quantum communication without actual transmission of the message qubitsJul 23 2013Recently an orthogonal state based protocol of direct quantum communication without actual transmission of particles is proposed by Salih \emph{et al.}{[}Phys. Rev. Lett. \textbf{110} (2013) 170502{]} using chained quantum Zeno effect. As the no-transmission ... More

Simultaneous polarization squeezing in polarized N photon state and diminution on a squeezing operationMar 28 2016We study polarization squeezing of a pure photon number state which is obviously polarized but the mere change in the basis of polarization leads to simultaneous polarization squeezing in all the components of Stokes operator vector except those falling ... More

Alteration in Non-Classicality of Light on Passing Through a Linear Polarization Beam SplitterMar 28 2016Apr 22 2016We observe the polarization squeezing in the mixture of a two mode squeezed vacuum and a simple coherent light through a linear polarization beam splitter. Squeezed vacuum not being squeezed in polarization, generates polarization squeezed light when ... More

A novel quantum grid search algorithm and its applicationMar 18 2019In this paper we present a novel quantum algorithm, namely the quantum grid search algorithm, to solve a special search problem. Suppose $ k $ non-empty buckets are given, such that each bucket contains some marked and some unmarked items. In one trial ... More

On Non-Gaussianities in Two-Field Poly-Instanton InflationJan 25 2013Mar 25 2013In the context of Type IIB LARGE volume orientifold setup equipped with poly-instanton corrections, the standard single-field poly-instanton inflation driven by a 'Wilson' divisor volume modulus is generalized by the inclusion of respective axion modulus. ... More

F-term Stabilization of Odd Axions in LARGE Volume ScenarioJul 03 2013Nov 26 2013In the context of the LARGE volume scenario, stabilization of axionic moduli is revisited. This includes both even and odd axions with their scalar potential being generated by F-term contributions via various tree-level and non-perturbative effects like ... More

Hysteresis in Ferromagnetic Random Field Ising Model with an Arbitrary Initial StateJun 30 2004We present exact expressions for hysteresis loops in the ferromagnetic random field Ising model in the limit of zero temperature and zero driving frequency for an arbitrary initial state of the model on a Bethe lattice. This work extends earlier results ... More

Criticality in Brownian ensemblesSep 23 2016May 03 2017The local statistical fluctuations in Brownian ensembles, the intermediate state of perturbation of one classical ensemble by another one, are system-size invariant if the perturbation parameter has the same size-dependence as that of the ensemble averaged ... More

Superunitary operator and BRST transformations for non-Abelian two-formDec 30 2016Using superspace unitary operator formalism, we derive various (anti-)BRST symmetry transformations explicitly for the non-Abelian 2-form gauge theories. We introduce a new Lagrangian with a coupling of matter fields not only with 1-from background field ... More

Large Polarization Squeezing in Non-Degenerate Parametric Amplification of Coherent RadiationDec 10 2016Polarization squeezing is shown to occur in non-degenerate parametric amplification of coherent light and the degree of squeezing at interaction time $T$ can be as large as $1-e^{-2T}$. This gives $86.4\%$ polarization squeezing for $T=1$ and $98.2\%$ ... More

Pion $p_T$ spectra in $p+p$ collisions as a function of $\sqrt{s}$ and event multiplicityAug 05 2014Sep 03 2014We study the charged pion transverse momentum ($p_T$) spectra in $p$+$p$ collisions as a function of collision energy $\sqrt{s}$ and event multiplicity using Tsallis distribution. This study gives an insight of the pion production process in $p+p$ collisions. ... More

Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero TemperatureApr 04 2011We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -$\infty$ and $\infty$. Two different distributions of the random-field are considered, (i) a uniform distribution ... More

Energy and angular distributions of atmospheric muons at the EarthJun 22 2016Sep 27 2018A fair knowledge of the atmospheric muon distributions at Earth is a prerequisite for the simulations of cosmic ray setups and rare event search detectors. A modified power law is proposed for atmospheric muon energy distribution which gives a good description ... More

Statistical Mechanics of AvalanchesJun 16 2016Apr 19 2017Statistical mechanics of infinite avalanches is studied in the framework of nonequilibrium random-field Ising model. Critical behavior of the model on a random graph (dilute Bethe lattice) is analyzed in detail. We show that sites with a minimum coordination ... More

Inferring freeze-out parameters from pion measurements at RHIC and LHCMay 20 2015We analyze the transverse momentum spectra of charged pions measured in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV and in Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV using the Tsallis distribution modified to include transverse flow. All the spectra ... More

Dimensional oxidation and modular completion of non-geometric type IIB actionJan 28 2015May 06 2015Utilizing a setup of type IIB superstring theory compactified on an orientifold of T^6/(Z2xZ2), we propose a modular invariant dimensional oxidation of the four-dimensional scalar potential. In the oxidized ten-dimensional supergravity action, the standard ... More

Effect of Coordination Number on Nonequilibrium Critical PointJun 06 2013Oct 27 2013We study the nonequilibrium critical point of the zero temperature random field Ising model on a triangular lattice and compare it with known results on honeycomb, square, and simple cubic lattices. We suggest that the coordination number of the lattice ... More

The Theory of Crowd CapitalOct 07 2012We are seeing more and more organizations undertaking activities to engage dispersed populations through IS. Using the knowledge-based view of the organization, this work conceptualizes a theory of Crowd Capital to explain this phenomenon. Crowd Capital ... More

Critical hysteresis on dilute triangular latticeMar 11 2019Jun 28 2019Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice has been studied earlier with site dilution on one sublattice. It was reported that criticality vanishes if less than one third of the sublattice ... More

The Glauber model and heavy ion reaction and elastic scattering cross sectionsFeb 24 2017We revisit the Glauber model to study the heavy ion reaction cross sections and elastic scattering angular distributions at low and intermediate energies. The Glauber model takes nucleon-nucleon cross sections and nuclear densities as inputs and has no ... More

Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination numberNov 26 2015We study zero-temperature hysteresis in the random-field Ising model on a Bethe lattice where a fraction $c$ of the sites have coordination number $z=4$ while the remaining fraction $1-c$ have $z=3$. Numerical simulations as well as probabilistic methods ... More

When do we have 1 + 1 = 11 and 2 + 2 =5?Jun 05 2019This work is inspired in part by the following passage from the famous dystopian novel 1984, by George Orwell. "He wrote first in large clumsy capitals: FREEDOM IS SLAVERY. Then almost without a pause he wrote beneath it: TWO AND TWO MAKE FIVE." Here ... More

Fuzzy Logic of Speed and Steering Control System for Three Dimensional Line Following of an Autonomous VehicleApr 10 2010... This paper is to describe exploratory research on the design of a modular autonomous mobile robot controller. The controller incorporates a fuzzy logic [8] [9] approach for steering and speed control [37], a FL approach for ultrasound sensing and ... More

Chiral Kinetic Theory from Effective Field Theory RevisitedJan 06 2019We revisit the chiral kinetic equation from high density effective theory approach, finding a chiral kinetic equation differs from counterpart derived from field theory in high order terms in the $O(1/\mu)$ expansion, but in agreement with the equation ... More

Significant Interval and Frequent Pattern Discovery in Web Log DataFeb 05 2010There is a considerable body of work on sequence mining of Web Log Data. We are using One Pass frequent Episode discovery (or FED) algorithm, takes a different approach than the traditional apriori class of pattern detection algorithms. In this approach ... More

Green Heron Swarm Optimization Algorithm - State-of-the-Art of a New Nature Inspired Discrete Meta-HeuristicsOct 14 2013Many real world problems are NP-Hard problems are a very large part of them can be represented as graph based problems. This makes graph theory a very important and prevalent field of study. In this work a new bio-inspired meta-heuristics called Green ... More

Optical absorption in boron clusters B$_{6}$ and B$_{6}^{+}$ : A first principles configuration interaction approachAug 31 2012The linear optical absorption spectra in neutral boron cluster B$_{6}$ and cationic B$_{6}^{+}$ are calculated using a first principles correlated electron approach. The geometries of several low-lying isomers of these clusters were optimized at the coupled-cluster ... More

Theory of Triplet Optical Absorption in Oligoacenes: From Naphthalene to HeptaceneJun 26 2014Oct 23 2014In this paper we present a detailed theory of the triplet states of oligoacenes containing up to seven rings, i.e., starting from naphthalene all the way up to heptacene. In particular, we present results on the optical absorption from the first triplet ... More

Band Structure and Optical Absorption in Multilayer Armchair Graphene Nanoribbons: A Pariser-Parr-Pople Model StudyMar 31 2011Aug 13 2011Using the tight binding and Pariser-Parr-Pople (PPP) model Hamiltonians, we study the electronic structure and optical response of multilayer armchair graphene nanoribbons (AGNRs), both with and without a gate bias. In particular, the influence of the ... More