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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

Aspects of Gravitational Collapse and the formation of Spacetime SingularitiesSep 05 2017Possibilities emerging out of the dynamical evolutions of collapsing systems are addressed in this thesis through analytical investigations of the highly non-linear Einstein Field Equations. Studies of exact solutions and their properties, play a non-trivial ... More

Non-vanishing of Jacobi Poincaré seriesOct 22 2009Feb 01 2010We prove that under suitable conditions, the Jacobi Poincar\'{e} series of exponential type of integer weight and matrix index does not vanish identically. For classical Jacobi forms, we construct a basis consisting of the "first" few Poincar\'{e} series ... More

Some aspects of Hermitian Jacobi formsOct 22 2009We introduce a certain differential (heat) operator on the space of Hermitian Jacobi forms of degree 1, show it's commutation with certain Hecke operators and use it to construct a lift of elliptic cusp forms to Hermitian Jacobi cusp forms. We construct ... 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

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

Unified Theory of Source Coding: Part I -- Two Terminal ProblemsAug 26 2005Oct 10 2005Since the publication of Shannon's theory of one terminal source coding, a number of interesting extensions have been derived by researchers such as Slepian-Wolf, Wyner, Ahlswede-K\"{o}rner, Wyner-Ziv and Berger-Yeung. Specifically, the achievable rate ... 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 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

Implications of lepton flavour violation on long baseline neutrino oscillation experimentsMar 07 2016Sep 17 2016Non-standard neutrino interactions (NSIs), the sub-leading effects in the flavour transitions of neutrinos, play a crucial role in the determination of the various unknowns in neutrino oscillations, such as neutrino mass hierarchy, Dirac CP violating ... More

Computation of Linear Comparison Equations for Stability Analysis of Interconnected SystemsJul 25 2015Sum-of-squares (SOS) methods have been shown to be very useful in computing polynomial Lyapunov functions for systems of reasonably small size. However for large scale systems it is necessary to use a scalable alternative using vector Lyapunov functions. ... 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

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

Scalar field collapse in a conformally flat spacetimeSep 07 2016Feb 02 2017The collapse scenario of a scalar field along with a perfect fluid distribution is investigated for a conformally flat spacetime. The theorem for the integrability of an anharmonic oscillator has been utilized. For a pure power law potential of the form ... More

Beta decay rates for r-process for nuclei near neutron number N=82Nov 06 2008Dec 01 2008For r-process nucleosynthesis the beta decay rates of very neutron-rich nuclei are important ingredients. We consider the region around the neutron number N=82 and calculate the half-lives and rates for a number of nuclei. Forms for beta strength functions ... More

A translation: "Every" finite free resolution is a free resolution of an ideal generated by three elementsDec 27 2010A translation into English of Winfried Bruns' article: "Jede" endliche freie Aufl\"osung ist freie Aufl\"osung eines von drei Elementen erzeugten Ideals' (published in J. Algebra 39, 429-439 (1976))

Neutrino processes with power law dispersion relationsDec 13 2011May 11 2012We compute various processes involving neutrinos in the initial and/or final state and we assume that neutrinos have energy momentum relation with a general power law $E^2 =p^2+ \xi_n p^n$ correction due to Lorentz invariance violation. We find that for ... More

Detecting Dipolar Dark Matter in Beam Dump ExperimentsJun 22 2015Jul 01 2015We study interaction of low mass dark matter within beam dump experiments. In particular we study the dipolar dark matter model which assumes that the dark matter couples to Standard Model particles via its electric or magnetic dipole moment. We analyse ... More

Spline Based Search Method For Unmodeled Transient Gravitational Wave ChirpsSep 26 2017Dec 20 2017A method is described for the detection and estimation of transient chirp signals that are characterized by smoothly evolving, but otherwise unmodeled, amplitude envelopes and instantaneous frequencies. Such signals are particularly relevant for gravitational ... More

Hierarchical search strategy for the detection of gravitational waves from coalescing binaries: Extension to post-Newtonian wave formsMar 27 1997The detection of gravitational waves from coalescing compact binaries would be a computationally intensive process if a single bank of template wave forms (i.e., a one step search) is used. In an earlier paper we had presented a detection strategy, called ... 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

A Multiple-Comparison-Systems Method for Distributed Stability Analysis of Large-Scale Nonlinear SystemsSep 23 2016Lyapunov functions provide a tool to analyze the stability of nonlinear systems without extensively solving the dynamics. Recent advances in sum-of-squares methods have enabled the algorithmic computation of Lyapunov functions for polynomial systems. ... More

Phase Transition and Network Structure in Realistic SAT ProblemsMar 30 2013A fundamental question in Computer Science is understanding when a specific class of problems go from being computationally easy to hard. Because of its generality and applications, the problem of Boolean Satisfiability (aka SAT) is often used as a vehicle ... More

Optimization of cooling load in quantum self-contained fridge based on endoreversible approachOct 30 2015We consider a quantum self-contained fridge consisting of three qubits interacting with three separate heat reservoirs, respectively, and functioning without any external controls. Applying the methods of endoreversible thermodynamics, we derive explicit ... 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

Particle Swarm Optimization and gravitational wave data analysis: Performance on a binary inspiral testbedJan 06 2010The detection and estimation of gravitational wave (GW) signals belonging to a parameterized family of waveforms requires, in general, the numerical maximization of a data-dependent function of the signal parameters. Due to noise in the data, the function ... More

Quantum simulation of Dirac fermion mode, Majorana fermion mode and Majorana-Weyl fermion mode in cavity QED latticeSep 11 2014Quantum simulation aims to simulate a quantum system using a controble laboratory system that underline the same mathematical model. Cavity QED lattice system is that prescribe system to simulate the relativistic quantum effect. We quantum simulate the ... 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

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

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

A Hybrid Approach to Extract Keyphrases from Medical DocumentsMar 06 2013Jan 25 2014Keyphrases are the phrases, consisting of one or more words, representing the important concepts in the articles. Keyphrases are useful for a variety of tasks such as text summarization, automatic indexing, clustering/classification, text mining etc. ... More

Bengali text summarization by sentence extractionJan 11 2012Text summarization is a process to produce an abstract or a summary by selecting significant portion of the information from one or more texts. In an automatic text summarization process, a text is given to the computer and the computer returns a shorter ... 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.

Existence and Multiplicity of a Nonhomogeneous Polyharmonic Equation With Critical Exponential Growth in Even DimensionApr 13 2015In this paper we study the existence of at least two positive weak solutions for an inhomogeneous fourth order equation with Navier boundary data involving nonlinearities of critical growth with a bifurcation parameter $\lambda$ in $\mathbb{R}^{2m}$. ... 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

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

Part-of-Speech Tagging for Code-mixed Indian Social Media Text at ICON 2015Jan 06 2016This paper discusses the experiments carried out by us at Jadavpur University as part of the participation in ICON 2015 task: POS Tagging for Code-mixed Indian Social Media Text. The tool that we have developed for the task is based on Trigram Hidden ... 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

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

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

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

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

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

Black Hole Thermodynamics: General Relativity and BeyondMay 11 2019Black holes have often provided profound insights into the nature of gravity and the structure of space-time. The study of the mathematical properties of black objects is a major research theme of contemporary theoretical physics. This review presents ... 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

$\TT^2$-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

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

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

Baryogenesis through lepton number violationOct 05 1998The most promising scenarios of baryogenesis seems to be the one through lepton number violation. Lepton number violation through a Majarana mass of the right-handed neutrinos can generate a lepton asymmetry of the universe when the right-handed neutrinos ... More

Degenerate Dirac NeutrinosAug 10 1998A simple extension of the standard model is proposed in which all the three generations of neutrinos are Dirac particles and are naturally light. We then assume that the neutrino mass matrix is diagonal and degenerate, with a few eV mass to solve the ... More

Naturally light sterile neutrinosJul 22 1998A simple model to accomodate light sterile neutrinos naturally with large mixing with the usual neutrinos has been proposed. The standard model gauge group is extended to include an $SU(2)_S$ gauge symmetry. Heavy triplet higgs scalars give small masses ... More

Electroweak Baryogenesis and Constraints on Left-handed Majorana Neutrino MassesJun 18 1996The lepton number violating interactions generated by the light Majorana neutrinos can erase the primordial baryon asymmetry of the universe during the electroweak phase transition. The Majorana masses of the left-handed neutrinos are constrained to avoid ... More

Parity in left-right symmetric modelsMar 28 2004Apr 01 2004We considered parity breaking in some left-right symmetric models. We studied spontaneous and explicit parity violation in two cases with doublet and triplet Higgs scalars. The minimization condition in these two cases differ significantly. A comparative ... More

D-brane gauge theories from toric singularities of the form $C^3/Γ$ and $C^4/Γ$May 18 2000Oct 17 2000We discuss examples of D-branes probing toric singularities, and the computation of their world-volume gauge theories from the geometric data of the singularities. We consider several such examples of D-branes on partial resolutions of the orbifolds ${\bf ... More

On Tachyons in Generic Orbifolds of $\BC^r$ and Gauged Linear Sigma ModelsDec 06 2006We study some aspects of Gauged Linear Sigma Models corresponding to orbifold singularities of the form $\BC^r/\Gamma$, for $r=2,3$ and $\Gamma = \BZ_n$ and $\BZ_n\times \BZ_m$. These orbifolds might be tachyonic in general. We compute expressions 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

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

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

Some Results on Bent-Negabent Boolean Functions over Finite FieldsJun 04 2014We consider negabent Boolean functions that have Trace representation. We completely characterize quadratic negabent monomial functions. We show the relation between negabent functions and bent functions via a quadratic function. Using this characterization, ... 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

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

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

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

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

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

Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulatorOct 26 2018Dec 27 2018The emergence of the Pomeranchuk instability (PI) in a Helical Fermi liquid (HFL) residing on the surface of a three-dimensional topological insulator (3D TI) is addressed at the mean-field level. An expression for the PI condition is derived in terms ... More

Operator Theory on Symmetrized BidiscJul 08 2012Jul 16 2014A commuting pair of operators (S, P) on a Hilbert space H is said to be a Gamma-contraction if the symmetrized bidisc is a spectral set of the tuple (S, P). In this paper we develop some operator theory inspired by Agler and Young's results on a model ... More

Symmetries of surfaces of $p$-groups of co-class 1Sep 14 2018Sep 17 2018The genus spectrum of a finite group $G$ is a set of integers $g \geq 2$ such that $G$ acts on a closed orientable compact surface $\Sigma_g$ of genus $g$ preserving the orientation. In this paper we complete the study of spectrum sets of finite $p$-groups ... More

An Invariant Subspace Theorem and Invariant Subspaces of Analytic Reproducing Kernel Hilbert Spaces - IIOct 03 2013Feb 19 2015This paper is a follow-up contribution to our work [20] where we discussed some invariant subspace results for contractions on Hilbert spaces. Here we extend the results of [20] to the context of n-tuples of bounded linear operators on Hilbert spaces. ... More

An Invariant Subspace Theorem and Invariant Subspaces of Analytic Reproducing Kernel Hilbert Spaces - ISep 10 2013Sep 29 2013Let T be a C_{\cdot 0}-contraction on a Hilbert space H and S be a non-trivial closed subspace of H. We prove that S is a T-invariant subspace of H if and only if there exists a Hilbert space D and a partially isometric operator \Pi : H^2_D(\mathbb{D}) ... 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

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

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

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

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

Active-to-absorbing-state phase transition in an evolving population with mutationOct 06 2015We study the active to absorbing phase transition (AAPT) in a simple two-component model system for a species and its mutant. We uncover the nontrivial critical scaling behavior and weak dynamic scaling near the AAPT that shows the significance of mutation ... More

JU_KS@SAIL_CodeMixed-2017: Sentiment Analysis for Indian Code Mixed Social Media TextsFeb 15 2018This paper reports about our work in the NLP Tool Contest @ICON-2017, shared task on Sentiment Analysis for Indian Languages (SAIL) (code mixed). To implement our system, we have used a machine learning algo-rithm called Multinomial Na\"ive Bayes trained ... More

Some $\ZZ_3^n$-equivariant triangulations of $\CP^n$May 11 2014In 1983, Banchoff and Kuhnel constructed a minimal triangulation of $\CP^2$ with 9 vertices. $\CP^3$ was first triangulated by Bagchi and Datta in 2012 with 18 vertices. Known lower bound on number of vertices of a triangulation of $\CP^n$ is $1 + \frac{(n ... 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 comprehensive study of the discovery potential of NOvA, T2K and T2HK experimentsAug 26 2014Jan 28 2016With the recent measurement of reactor mixing angle $\theta_{13}$ the knowledge of neutrino oscillation parameters that describe PMNS matrix has improved significantly except the CP violating phase $\delta_{CP}$. The other unknown parameters in neutrino ... More

Extra Neutral Scalars with Vector-like Fermions at the LHCApr 05 2015Jan 23 2016Many theories beyond the standard model (BSM) contain new CP-odd and CP-even neutral scalars $\phi = \{A,H\}$, and new vector-like fermions ($\psi_{VL}$). The couplings of the CP-odd scalar $A$ to two standard model (SM) gauge bosons cannot occur from ... More

Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical SystemsAug 22 2017Nov 17 2017The Koopman operator has recently garnered much attention for its value in dynamical systems analysis and data-driven model discovery. However, its application has been hindered by the computational complexity of extended dynamic mode decomposition; this ... 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

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

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

Multiscale entanglement clusters at the many-body localization phase transitionNov 05 2018We study numerically the formation of entanglement clusters across the many-body localization phase transition. We observe a crossover from strong many-body entanglement in the ergodic phase to weak local correlations in the localized phase, with contiguous ... More

Beta decay rates for nuclei with 115 < A < 140 for r-process nucleosynthesisMar 19 2006For r-process nucleosynthesis the beta decay rates for a number of neutron-rich intermediate heavy nuclei are calculated. The model for the beta strength function is able to reproduce the observed half~lives quite well.