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Analysis of a Planetary Scale Scientific Collaboration Dataset Reveals Novel PatternsSep 24 2015Apr 09 2016Scientific collaboration networks are an important component of scientific output and contribute significantly to expanding our knowledge and to the economy and gross domestic product of nations. Here we examine a dataset from the Mendeley scientific ... More

Finiteness of irreducible holomorphic eta quotients of a given levelFeb 08 2016Sep 18 2017We show that for any positive integer $N$, there are only finitely many holomorphic eta quotients of level $N$, none of which is a product of two holomorphic eta quotients other than 1 and itself. This result is an analog of Zagier's conjecture/ Mersmann's ... More

On Rich Clubs of Path-Based Centralities in NetworksAug 08 2018Many scale-free networks exhibit a rich club structure, where high degree vertices form tightly interconnected subgraphs. In this paper, we explore the emergence of rich clubs in the context of shortest path based centrality metrics. We term these subgraphs ... More

Azimuthal anisotropy in particle distribution in A Multi-phase Transport ModelApr 16 2018Anisotropic flow of hadronic matter is considered as a sensitive tool to detect the early stage dynamics of high-energy heavy-ion collisions. Taking the event by event fluctuations of the collision geometry into account, the elliptic flow parameter and ... More

Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravityAug 29 2018Jan 11 2019The Eddington-inspired Born-Infeld (EiBI) gravity is a modification of the theory of general relativity inspired by the nonlinear Born-Infeld electrodynamics. The theory is described by a series of higher curvature terms added to the Einstein-Hilbert ... More

Simulation study of elliptic flow of charged hadrons produced in Au + Au collisions at the Facility for Antiproton and Ion ResearchApr 16 2018Centrality and system geometry dependence of azimuthal anisotropy of charged hadrons measured in terms of the elliptic flow parameter are investigated using Au+Au event samples at incident beam energy $20$A GeV and $40$A GeV generated by Ultrarelativistic ... More

Core2Vec: A core-preserving feature learning framework for networksJul 07 2018Recent advances in the field of network representation learning are mostly attributed to the application of the skip-gram model in the context of graphs. State-of-the-art analogues of skip-gram model in graphs define a notion of neighbourhood and aim ... More

Constraints on higher curvature gravity from time delay between GW170817 and GRB 170817AJun 19 2019Jun 20 2019General relativity may be an effective theory with higher curvature correction terms in the action. Inclusion of these terms leads to exciting new possibilities, e.g., gravitational and electromagnetic perturbations following different geodesics; leading ... More

ComPAS: Community Preserving Sampling for Streaming GraphsFeb 05 2018In the era of big data, graph sampling is indispensable in many settings. Existing sampling methods are mostly designed for static graphs, and aim to preserve basic structural properties of the original graph (such as degree distribution, clustering coefficient ... More

Constraints on higher curvature gravity from time delay between GW170817 and GRB 170817AJun 19 2019General relativity may be an effective theory with higher curvature correction terms in the action. Inclusion of these terms leads to exciting new possibilities, e.g., gravitational and electromagnetic perturbations following different geodesics; leading ... More

Radial flow in a multi phase transport model at FAIR energiesApr 11 2018Azimuthal distributions of radial velocities of charged hadrons produced in nucleus-nucleus $(AB)$ collisions are compared with the corresponding azimuthal distribution of charged hadron multiplicity in the framework of a multiphase transport (AMPT) model ... More

Sensitivity and Reliability in Incomplete Networks: Centrality Metrics to Community Scoring FunctionsAug 18 2016Aug 24 2016Network analysis is an important tool in understanding the behavior of complex systems of interacting entities. However, due to the limitations of data gathering technologies, some interactions might be missing from the network model. This is a ubiquitous ... More

Explanation of IceCube spectrum with $ν\rightarrow 3 ν$ neutrino splitting in a $ν$2HDM modelFeb 26 2018Oct 07 2018A single power law flux spectrum of high energy neutrinos does not adequately explain the entire 60 TeV to 10 PeV event spectrum observed at IceCube, specially the excess of PeV events and the lack of Glashow resonance events expected at 6.3 PeV cannot ... More

Disentangling flow and nonflow correlations via Bayesian unfolding of the event-by-event distributions of harmonic coefficients in ultrarelativistic heavy-ion collisionsApr 04 2013Sep 24 2013The performance of the Bayesian unfolding method in extracting the event-by-event (EbyE) distributions of harmonic flow coefficients v_n is investigated using a toy model simulation, as well as simulations based on the HIJING and AMPT models. The unfolding ... More

A Hybrid Agent Based and Differential Equation Model of Body Size Effects on Pathogen Replication and Immune System ResponseOct 16 2009Many emerging pathogens infect multiple host species, and multi-host pathogens may have very different dynamics in different host species. This research addresses how pathogen replication rates and Immune System (IS) response times are constrained by ... More

Singlet fermion Dark Matter within Left-Right ModelDec 13 2015May 31 2016We discuss singlet fermion dark matter within a left-right symmetric model promoting baryon and lepton numbers as separate gauge symmetries. We add a simple Dirac fermionic dark matter singlet under $SU(2)_{L,R}$ with nonzero and equal baryon and lepton ... More

Understanding Stability of Noisy Networks through Centrality Measures and Local ConnectionsSep 17 2016Networks created from real-world data contain some inaccuracies or noise, manifested as small changes in the network structure. An important question is whether these small changes can significantly affect the analysis results. In this paper, we study ... More

StRE: Self Attentive Edit Quality Prediction in WikipediaJun 11 2019Wikipedia can easily be justified as a behemoth, considering the sheer volume of content that is added or removed every minute to its several projects. This creates an immense scope, in the field of natural language processing towards developing automated ... More

Using Core-Periphery Structure to Predict High Centrality Nodes in Time-Varying NetworksJun 20 2018Vertices with high betweenness and closeness centrality represent influential entities in a network. An important problem for time varying networks is to know a-priori, using minimal computation, whether the influential vertices of the current time step ... More

Exact Solutions and Accelerating Universe in Modified Brans-Dicke TheoriesAug 05 2019Exact solutions are studied in the context of modified Brans-Dicke theory. The non-linearity of the modified Brans-Dicke field equations is treated with the Euler-Duarte-Moreira method of integrability of anharmonic oscillator equation. While some solutions ... More

A method for studying initial geometry fluctuations via event plane correlations in heavy ion collisionsMar 22 2012Jul 30 2013A method is proposed to measure the relative azimuthal angle distributions involving two or more event planes of different order in heavy ion collisions using a Fourier analysis technique. The analysis procedure is demonstrated for correlations involving ... More

Impact of lepton flavour universality violation on CP violation sensitivity of long baseline neutrino oscillation experimentsJan 02 2017The observation of neutrino oscillation as well as the recent experimental result on lepton flavor universality (LFU) violation in $B$ meson decays are indications of new physics beyond the Standard Model. Many theoretical models, which are introduced ... More

Commutator Subgroups of Singular Braid GroupsJun 15 2018Jan 20 2019The singular braids with $n$ strands, $n \geq 3$, were introduced independently by Baez and Birman. It is known that the monoid formed by the singular braids is embedded in a group that is known as singular braid group, denoted by $SG_n$. There has been ... More

Rule based End-to-End Learning Framework for Urban Growth PredictionNov 29 2017May 29 2018Due to the rapid growth of urban areas in the past decades, it has become increasingly important to model and monitor urban growth in mega cities. Although several researchers have proposed models for simulating urban growth, they have been primarily ... More

Analytical and numerical modeling of capacitance voltage characteristics of organic solar cellsSep 21 2018We report a charge based model to establish the analytical equation, describing the nature of capacitance-voltage ($C$-$V$) characteristics of organic solar cells under dark condition (or organic diodes) over a wide range of voltage, extending from deep ... More

Nature and symmetry of the order parameter of the noncentrosymmetric superconductor Li2Pt3BOct 05 2011The nature and symmetry of the superconducting gap function in the noncentrosymmetric superconductor (NCS) Li2Pt3B, even many years after its discovery, appears to be full of contradictions. In this letter based on the existing band structure calculations ... More

Topics in Heegaard Floer homologyJun 15 2009This is the author's PhD thesis, as submitted to the Princeton University. The results of this paper have already appeared in arXiv:math/0607777v4, arXiv:math/0607691 and arXiv:0901.2156.

Brane Probes, Toric Geometry, and Closed String TachyonsJun 12 2002Dec 04 2002We study non-supersymmetric orbifold singularities from the point of view of D-brane probes. We present a description of the decay of such singularities from considerations of the toric geometry of the probe branes.

Investigating jet-medium interaction using charge dependent three-particle correlation in high multiplicity p+Pb collisions at $\sqrt{s_{NN} }$ = 5.02 TeVSep 17 2018Although many observations in high multiplicity p+Pb collisions at the LHC indicate striking similarity to heavy ion collisions, no evidence of jet-medium interactions has been observed till date. We study the effect of jet-medium interaction on the charge ... More

(A)dS Holography with a Cut-offAug 02 2014Oct 09 2014We find out the smearing/ transfer functions that relate a local bulk operator with its boundary values at a cut-off surface located at $z=z_0$ of the AdS Poincar\'{e} patch. We compare these results with de Sitter counterparts and comment on their connections ... More

Wold decomposition for doubly commuting isometriesApr 28 2013Dec 12 2013In this paper, we obtain a complete description of the class of n-tuples (n >= 2) of doubly commuting isometries. In particular, we present a several variables analogue of the Wold decomposition for isometries on Hilbert spaces. Our main result is a generalization ... More

Anomaly for Model BuildingJun 19 2006A simple algorithm to calculate the group theory factor entering in anomalies at four and six dimensions for SU(N) and SO(N) groups in terms of the Casimir invariants of their subgroups is presented. Explicit examples of some of the lower dimensional ... More

Minimal supersymmetric SO(10) GUT with doublet HiggsSep 02 2004Sep 06 2004We propose a simple supersymmetric SO(10) GUT model with only doublet Higgs scalars. The fermion mass problem is naturally solved by a new one-loop diagram. R-parity is conserved implying a stable LSP which can explain the dark matter of the universe. ... More

Importance of neutrinoless double beta decayDec 17 2007A natural explanation for the smallness of the neutrino mass requires them to be Majorana particles violating lepton number by two units. Since lepton number violation can have several interesting consequences in particle physics and cosmology, it is ... More

Leptogenesis, Dark Energy, Dark Matter and the neutrinosDec 17 2007In this review we discuss how the models of neutrino masses can accommodate solutions to the problem of matter-antimatter asymmetry in the universe, dark energy or cosmological constant problem and dark matter candidates. The matter-antimatter asymmetry ... More

Models of Neutrino Masses and BaryogenesisJun 11 1999Majorana masses of the neutrino implies lepton number violation and is intimately related to the lepton asymmetry of the universe, which gets related to the baryon asymmetry of the universe in the presence of the sphalerons during the electroweak phase ... More

Complex Cobordism of quasitoric orbifoldsJun 07 2014Jan 29 2016We construct orbifolds with quasitoric boundary and show that they have stable almost complex structure. We show that a quasitoric orbifold is complex cobordant to finite disjoint copies of complex orbifold projective spaces. Finally some computations ... More

Uniform exponential mixing for congruence covers of convex cocompact hyperbolic manifoldsMar 03 2019Let $\Gamma$ be a Zariski dense convex cocompact subgroup contained in an arithmetic lattice of $\operatorname{SO}(n, 1)^{\circ}$. We prove uniform exponential mixing of the geodesic flow for congruence covers of the hyperbolic manifold $\Gamma \backslash ... More

Predictions for high energy neutrino cross-sections from the ZEUS global PDF fitsOct 28 2007Jan 24 2008We have updated predictions for high energy neutrino and antineutrino charged current cross-sections within the conventional DGLAP formalism of NLO QCD using a modern PDF fit to HERA data, which also accounts in a systematic way for PDF uncertainties ... More

Structure of A=138 isobars above the 132Sn core and the N-N interaction in the neutron-rich environmentFeb 26 2008Large basis untruncated shell model calculations have been done for the A=138 neutron -rich nuclei in the pi(gdsh) X nu(hfpi) valence space above the 132Sn core. Two (1+2) -body nuclear Hamiltonians, viz., realistic CWG and empirical SMPN in this model ... More

Grid diagrams and the Ozsvath-Szabo tau-invariantNov 24 2010Nov 22 2012We use grid diagrams to investigate the Ozsvath-Szabo concordance invariant tau, and to prove that |tau(K_1)-tau(K_2)|<=g, whenever there is a genus g knot cobordism joining K_1 to K_2. This leads to an entirely grid diagram-based proof of Kronheimer-Mrowka's ... More

A Renormalization Group Study of Interacting Helical Liquid : Physics of Majorana FermionJun 22 2015The physics of Majorana fermion occurs at the edge and interface of many one-dimensional quantum many body system with gapped excitation spectrum. We present the renormalization group equations for strongly interacting helical liquid. We present the results ... More

Modification of heavy quark energy loss due to shear flow in hot QCD plasmaMar 05 2014We present the derivation of heavy quark energy loss in a viscous QCD plasma using kinetic theory. Shear flow changes both boson and fermion distribution functions which eventually modify heavy quark energy loss. Due to presence of non-zero flow gradient ... More

Ribbon distance and Khovanov homologyMar 26 2019We study some notions of complexities of slice knots, such as the band number (the smallest number of bands needed to write a knot as a band sum of an unlink) and the ribbon distance to the unknot (defined in terms of the number of saddles in ribbon concordances ... More

Moran-evolution of cooperation: From well-mixed to heterogeneous complex networksFeb 14 2018Configurational arrangement of network architecture and interaction character of individuals are two most influential factors on the mechanisms underlying the evolutionary outcome of cooperation, which is explained by the well-established framework of ... More

Multigraded regularity, reduction vectors and postulation vectorsJun 19 2016We relate the set of complete reduction vectors of a $\mathbb{Z}^s$-graded admissible filtration of ideals $\mathcal{F}$ with the set of multigraded regularities of $G(\mathcal{F}).$ We prove reg$(G(\mathcal{F}))$=reg$(\mathcal{R}(\mathcal{F})).$ We establish ... More

Entropy as a bound for expectation values and variances of a general quantum mechanical observableJul 01 2018Quantum information-theoretic approach has been identified as a way to understand the foundations of quantum mechanics as early as 1950 due to Shannon. However there hasn't been enough advancement or rigorous development of the subject. In the following ... More

Commutators and squares in free groupsSep 06 2004Let F_2 be the free group generated by x and y. In this article, we prove that the commutator of x^m and y^n is a product of two squares if and only if mn is even. We also show using topological methods that there are infinitely many obstructions for ... More

Some small orbifolds over polytopesDec 04 2009Nov 21 2010We introduce some compact orbifolds on which there is a certain finite group action having a simple convex polytope as the orbit space. We compute the orbifold fundamental group and homology groups of these orbifolds. We calculate the cohomology rings ... More

Jordan Blocks of H^2(D^n)Mar 05 2013Apr 15 2013We develop a several variables analog of the Jordan blocks of the Hardy space $H^2(\mathbb{D})$. In this consideration, we obtain a complete characterization of the doubly commuting quotient modules of the Hardy module $H^2(\mathbb{D}^n)$. We prove that ... More

Orientability and equivariant oriented cobordism of 2-torus manifoldsJul 29 2010Apr 26 2016We give a necessary and sufficient condition for the orientability of a locally standard 2-torus manifold with a fixed point which generalizes previous results of Nakayama-Nishimura in 2005 and Soprunova-Sottile in 2013. We construct manifolds with boundary ... More

An Introduction to Hilbert Module Approach to Multivariable Operator TheoryAug 28 2013Sep 27 2014Let $\{T_1, \ldots, T_n\}$ be a set of $n$ commuting bounded linear operators on a Hilbert space $\mathcal{H}$. Then the $n$-tuple $(T_1, \ldots, T_n)$ turns $\mathcal{H}$ into a module over $\mathbb{C}[z_1, \ldots, z_n]$ in the following sense: \[\mathbb{C}[z_1, ... More

On Dimer Models and Closed String TheoriesMay 24 2007We study some aspects of the recently discovered connection between dimer models and D-brane gauge theories. We argue that dimer models are also naturally related to closed string theories on non compact orbifolds of $\BC^2$ and $\BC^3$, via their twisted ... More

On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$Jul 09 2004Sep 08 2004We study some aspects of localized tachyon condensation on non-supersymmetric orbifolds of the form $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$. We discuss the gauged linear sigma models for these orbifolds. We show how several features of the decay of orbifolds ... More

A Hidden Markov Model Based System for Entity Extraction from Social Media English Text at FIRE 2015Dec 12 2015This paper presents the experiments carried out by us at Jadavpur University as part of the participation in FIRE 2015 task: Entity Extraction from Social Media Text - Indian Languages (ESM-IL). The tool that we have developed for the task is based on ... More

On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$Jun 12 2013Mar 24 2016We study several properties of $\ZZ_2^n$-equivariant triangulations of $\RR P^n$. We show that a $\ZZ_2^n$-equivariant triangulation of $\RR P^n$ induces a triangulated subdivision of the orbit space $\bigtriangleup^n$. We show that any vertex minimum ... More

An entropy admissible time splitting scheme for a conservation law model of manufacturing systemAug 06 2013Aug 22 2014This paper deals with a splitting method applied to a conservation law model of manufacturing system incorporating yield loss. A splitting scheme has been proposed. The yield loss term is treated by solving implicitly an ordinary differential equation ... More

Rees' theorem for filtrations, multiplicity function and reduction criteriaApr 25 2017Jun 27 2019Let $J\subset I$ be ideals in a formally equidimensional local ring with $\lambda(I/J)<\infty.$ Rees proved that $\lambda(I^n/J^n)$ is a polynomial $P(I/J)(X)$ in $n$ of degree at most dim $R$ and $J$ is a reduction of $I$ if and only if deg $P(I/J)(X)\leq$ ... More

New magic number for neutron rich Sn isotopesOct 12 2009Apr 16 2010The variation of E(2+_1) of (134-140)Sn calculated with empirical SMPN interaction has striking similarity with that of experimental E(2+_1) of even-even (18-22)O and (42-48)Ca, showing clearly that N=84-88 spectra exhibit the effect of gradual filling ... More

Shell Model Predictions for Very Neutron-Rich Nuclei in 132SN Region : Interesting Features of Effective- Charge RevealedMar 28 2005Shell model studies have been done for very neutron - rich nuclei in the range Z=50-55 and N=82-87. Good agreement of the theoretical level spectra with the experimental one for N=82, 83 I and Te nuclei is shown. Then the results for three very neutron-rich ... More

Pairing and shell evolution in neutron rich nucleiApr 23 2012From the experimental data on odd-even staggering of masses, we have shown that variation of pairing as a function of neutron number plays an important role in many distinctive features like occurrence of new shell closures, shell erosion, anomalous reduction ... More

136Sn and three body forcesNov 10 2014New experimental data on 2+ energies of 136,138Sn confirms the trend of lower 2+ excitation energies of even-even tin isotopes with N > 82 compared to those with N< 82. However, none of the theoretical predictions using both realistic and empirical interactions ... More

Ribbon distance and Khovanov homologyMar 26 2019Apr 10 2019We study a notion of distance between knots, defined in terms of the number of saddles in ribbon concordances connecting the knots. We construct a lower bound on this distance using the X-action on Lee's perturbation of Khovanov homology.

LWB and FS-LWB implementation for Sky platform using ContikiJul 22 2016Aug 01 2016The low-power wireless bus (LWB) is a highly efficient communication protocol for wireless sensor networks (WSN). However, a lack of open implementation for this protocol prompted the implementation of the protocol for the most common platform of WSN ... More

Conditions on Consistency of Probabilistic Tree Adjoining GrammarsSep 18 1998Much of the power of probabilistic methods in modelling language comes from their ability to compare several derivations for the same string in the language. An important starting point for the study of such cross-derivational properties is the notion ... More

Split Supersymmetry in an Orbifold GUTOct 07 2004May 02 2005We propose a supersymmetric SU(5) orbifold GUT in 5 dimensions in which supersymmetry breaking at the boundaries give rise to split supersymmetry spectrum. The extra dimension is compactified on a $S^1/Z_2 \times Z_2^\prime$ orbifold having two fixed ... More

New Dimensions New HopesMay 25 2001Jun 08 2001We live in a four dimensional world. But the idea of unification of fundamental interactions lead us to higher dimensional theories. Recently a new theory with extra dimensions has emerged, where only gravity propagates in the extra dimension and all ... More

Spontaneous LeptogenesisSep 26 1996I propose a new mechanism for baryogenesis, in which the out-of-equilibrium condition is not neccessary. When the electroweak symmetry is broken spontaneously, left-handed neutrinos may get Majorana masses containing $CP-$violating phases. This induces ... More

Applications of Hilbert Module Approach to Multivariable Operator TheorySep 27 2014A commuting $n$-tuple $(T_1, \ldots, T_n)$ of bounded linear operators on a Hilbert space $\clh$ associate a Hilbert module $\mathcal{H}$ over $\mathbb{C}[z_1, \ldots, z_n]$ in the following sense: \[\mathbb{C}[z_1, \ldots, z_n] \times \mathcal{H} \rightarrow ... More

A Chemical Route to Graphene for Electronics and Spintronics Device ApplicationsSep 20 2014The development of selective high precision chemical functionalization strategies for device fabrication, in conjunction with associated techniques for patterning graphene wafers with atomic accuracy would provide the necessary basis for a post-CMOS manufacturing ... More

Drastic Minimization in the van der Waals Interaction with the Bottom Epitaxial Graphene Layer by the Diels-Alder Surface Chemistry of the Top Graphene LayerSep 29 2014The Diels-Alder surface modified top epitaxial graphene layer, with newly created pair of sp3 carbon centres, results in abrupt minimization of interlayer van der Waals interactions between two stacked graphene planes, and escapes the wafer during post-reaction ... More

KS_JU@DPIL-FIRE2016:Detecting Paraphrases in Indian Languages Using Multinomial Logistic Regression ModelDec 24 2016In this work, we describe a system that detects paraphrases in Indian Languages as part of our participation in the shared Task on detecting paraphrases in Indian Languages (DPIL) organized by Forum for Information Retrieval Evaluation (FIRE) in 2016. ... More

Random and non-random mating populations: Evolutionary dynamics in meiotic driveDec 04 2015Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The model draws ... More

Rees' theorem for filtrations, multiplicity function and reduction criteriaApr 25 2017Jan 01 2019Let $J\subset I$ be ideals in a formally equidimensional local ring with $\lambda(I/J)<\infty.$ Rees proved that $\lambda(I^n/J^n)$ is a polynomial $P(I/J)(X)$ in $n$ of degree at most dim $R$ and $J$ is a reduction of $I$ if and only if deg $P(I/J)(X)\leq$ ... More

Moving basepoints and the induced automorphisms of link Floer homologySep 09 2011Given an l-component pointed oriented link (L,p) in an oriented three-manifold Y, one can construct its link Floer chain complex CFL(Y,L,p) over the polynomial ring F_2[U_1,...,U_l]. Moving the basepoint p_i in the link component L_i once around induces ... More

A note on sign conventions in link Floer homologyFeb 04 2010Sep 09 2011For knots in S^3, the bi-graded hat version of knot Floer homology is defined over Z; however, for a link L in S^3 with #|L|=l>1, there are 2^{l-1} bi-graded hat versions of link Floer homology defined over Z, the multi-graded hat version of link Floer ... More

Conceptual Level Design of Semi-structured Database System: Graph-semantic Based ApproachFeb 21 2012This paper has proposed a Graph - semantic based conceptual model for semi-structured database system, called GOOSSDM, to conceptualize the different facets of such system in object oriented paradigm. The model defines a set of graph based formal constructs, ... More

A Brandom-ian view of Reinforcement Learning towards strong-AIMar 07 2018The analytic philosophy of Robert Brandom, based on the ideas of pragmatism, paints a picture of sapience, through inferentialism. In this paper, we present a theory, that utilizes essential elements of Brandom's philosophy, towards the objective of achieving ... More

Triangulations of $\mathbb{RP}^n$ with few verticesMar 02 2014Apr 14 2015P. Arnoux and A. Marin showed that any triangulation of $\mathbb{RP}^n$ contains more than $\frac{(n+1)(n+2)}{2}$ vertices if $n \geq 3$. We construct some natural triangulation of $\mathbb{RP}^n$ with $\frac{n(n+5)}{2}-1$ vertices for all $n \geq 3$. ... More

Random walk on a polygonNov 22 2006A particle moves among the vertices of an $(m+1)$-gon which are labeled clockwise as $0,1,...,m$. The particle starts at 0 and thereafter at each step it moves to the adjacent vertex, going clockwise with a known probability $p$, or counterclockwise with ... More

Electroweak Baryon Number Violation and Constraints on Left-handed Majorana Neutrino MassesSep 01 1998Sep 26 1998During a large period of time, the anomalous baryon number violating interactions are in equilibrium, when the $(B+L)$ asymmetry is washed out. If there is any lepton number violation during this period, that will also erase the $(B-L)$ asymmetry. As ... More

$\TT^2$-cobordism of Quasitoric 4-ManifoldsSep 02 2010Nov 06 2012We show the $\TT^2$-cobordism group of the category of 4-dimensional quasitoric manifolds is generated by the $\TT^2$-cobordism classes of $\CP^2$. We construct nice oriented $\TT^2$ manifolds with boundary where the boundary is the Hirzebruch surfaces. ... More

Study of isomers in neutron-rich magic $^{132}$Sn regionJul 13 2005Shell model calculations have been done for interpreting two representative isomeric states in neutron rich $^{132}Sn$ region using SMN and SMPN Hamiltonians. They are, (i) 2.91 min isomer in $^{138}Cs$ and (ii) the 0.57 $\mu s$ isomer in $^{136}$Sb nuclei. ... More

Astrophysical Implication of Low E(2^+_1) in Neutron-rich Sn IsotopesOct 12 2009The observation and prediction of unusually depressed first excited 2^+_1 states in even-A neutron - rich isotopes of semi-magic Sn above 132Sn provide motivations for reviewing the problems related to the nuclear astrophysics in general. In the present ... More

Improved Empirical Hamiltonians for Neutron-rich Nuclei in 132Sn regionFeb 22 2003Jan 21 2004Using recent experimental information for 132Sn region, an empirical Hamiltonian is obtained by some modifications of a Hamiltonian (CW5082) originally derived from the 208Pb region. Shell model calculations with the new Hamiltonian shows remarkable improvement ... More

Active learning with version spaces for object detectionNov 22 2016Given an image, we would like to learn to detect objects belonging to particular object categories. Common object detection methods train on large annotated datasets which are annotated in terms of bounding boxes that contain the object of interest. Previous ... More

Reconciling the Muon g-2 and Dark Matter Relic Density with the LHC Results in Nonuniversal Gaugino Mass ModelsMar 23 2013Aug 12 2013Relatively light electroweak superparticle masses are required to satisfy the bulk annihilation region of dark matter relic density and account for the observed excess of muon g-2, while TeV scale squark and gluino masses are required to account for the ... More

Signatures of dark Higgs boson in light fermionic dark matter scenariosJul 26 2018Thermal dark matter scenarios based on light (sub-GeV) fermions typically require the presence of an extra dark sector containing both a massive dark photon along with a dark Higgs boson. The latter generates both the dark photon mass and an additional ... More

A New Efficient Methodology for AC Transmission Network Expansion Planning in The Presence of UncertaintiesAug 02 2019Consideration of generation, load and network uncertainties in modern transmission network expansion planning (TNEP) is gaining interest due to large-scale integration of renewable energy sources with the existing grid. However, it is a formidable task ... More

Resilience of Traffic Networks with Partially Controlled RoutingApr 17 2019This paper investigates the use of Infrastructure-To-Vehicle (I2V) communication to generate routing suggestions for drivers in transportation systems, with the goal of optimizing a measure of overall network congestion. We define link-wise levels of ... More

130 GeV Gamma Ray Signal in NMSSM by Internal BremsstrahlungJun 16 2013There is a possible \gamma-ray signal at 130 GeV coming from the Galactic Center as seen by Fermi-LAT experiment. We give a SUSY dark matter model to explain this \gamma-ray feature in NMSSM. We show that in NMSSM, one can have a benchmark set in which ... More

Light dark sector at colliders and fixed target experimentsMay 16 2018Minimal scenarios with light (sub-GeV) thermal dark matter are usually accompanied by a correspondingly light "dark sector". Taking as an example a simple fermionic dark matter model, we will show that the presence of the dark sector plays a key role ... More

Multivariate Pointwise Information-Driven Data Sampling and VisualizationJul 26 2019With increasing computing capabilities of modern supercomputers, the size of the data generated from the scientific simulations is growing rapidly. As a result, application scientists need effective data summarization techniques that can reduce large-scale ... More

Collider constraints on Gauss-Bonnet coupling in warped geometry modelAug 07 2013Aug 17 2013In this paper the requirement of a warp solution in an Einstein-Gauss-Bonnet 5D warped geometry is shown to fix the signature of Gauss-Bonnet coupling ($\alpha_{5}$). Further, imposing the phenomenological constraints, obtained from the recently observed ... More

Learning image-to-image translation using paired and unpaired training samplesMay 08 2018Image-to-image translation is a general name for a task where an image from one domain is converted to a corresponding image in another domain, given sufficient training data. Traditionally different approaches have been proposed depending on whether ... More

Non-Standard Neutrino Interactions in a Modified $ν$2HDMApr 16 2018Sep 06 2018In the traditional neutrinophilic two-Higgs doublet model ($\nu$2HDM), there is no non-standard neutrino interaction (NSI) as the interactions between the Standard Model fermions with neutrinos are negligibly small due to the tiny mixing of the two scalar ... More

A study of the anisotropy associated with dipole asymmetry in heavy ion collisionsMar 15 2012Sep 14 2013The anisotropy associated with the initial dipole asymmetry in heavy ion collisions is studied via the two-particle relative azimuthal azimuthal angle (\Delta\phi=\phi^a-\phi^b) correlations, within a multi-phase transport model. For a broad selection ... More

From Extended theories of Gravity to Dark MatterMay 13 2016In this work, we propose different models of extended theories of gravity, which are minimally coupled to the SM fields, to explain the possibility of a dark matter (DM) candidate, without ad-hoc additions to the Standard Model (SM). We modify the gravity ... More

Can Dark Matter be an artifact of extended theories of gravity?Dec 27 2015Aug 18 2016In this article, we propose different background models of extended theories of gravity, which are minimally coupled to the SM fields, to explain the possibility of genesis of dark matter without affecting the SM particle sector. We modify the gravity ... More

Exploring the effect of Lorentz invariance violation in NO$ν$A experimentJul 22 2019Neutrinos are the particles, remain invulnerable to any interactions except weak interaction. Hence, they can propagate large distances without any deviation. This characteristic property can thus provide an ideal platform to investigate Planck suppressed ... More