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Distance Matrix of a Class of Completely Positive Graphs: Determinant and InverseJun 11 2019A real symmetric matrix $A$ is said to be completely positive if it can be written as $BB^t$ for some (not necessarily square) nonnegative matrix $B$. A simple graph $G$ is called a completely positive graph if every doubly nonnegative matrix realization ... More

An algebraic approach to complexity of data stream computationsJan 02 2007Apr 06 2008We consider a basic problem in the general data streaming model, namely, to estimate a vector $f \in \Z^n$ that is arbitrarily updated (i.e., incremented or decremented) coordinate-wise. The estimate $\hat{f} \in \Z^n$ must satisfy $\norm{\hat{f}-f}_{\infty}\le ... More

Polynomial Estimators for High Frequency MomentsApr 23 2011We present an algorithm for computing $F_p$, the $p$th moment of an $n$-dimensional frequency vector of a data stream, for $2 < p < \log (n) $, to within $1\pm \epsilon$ factors, $\epsilon \in [n^{-1/p},1]$ with high constant probability. Let $m$ be the ... More

Estimating small moments of data stream in nearly optimal space-timeMay 07 2010Jun 18 2010For each $p \in (0,2]$, we present a randomized algorithm that returns an $\epsilon$-approximation of the $p$th frequency moment of a data stream $F_p = \sum_{i = 1}^n \abs{f_i}^p$. The algorithm requires space $O(\epsilon^{-2} \log (mM)(\log n))$ and ... More

Consistent estimation in the two star Exponential Random Graph ModelOct 16 2013This paper explores statistical properties of a particular Exponential Random Graph Model, the two star probability distribution on the space of simple graphs. Non degenerate limiting distributions for the number of edges is derived for all parameter ... More

Large deviation for the empirical degree distribution of an Erdos-Renyi graphOct 15 2013Oct 26 2013With $(d_1,\cdots,d_n)$ denoting the labeled degrees of an Erdos Renyi graph with parameter $\beta/n$, the large deviation principle for $\frac{1}{n}\sum\limits_{j=1}^n\delta_{d_j}$ (the empirical distribution of the degrees) is derived with a good rate ... More

A Lower Bound for Estimating High Moments of a Data StreamDec 31 2011We show an improved lower bound for the Fp estimation problem in a data stream setting for p>2. A data stream is a sequence of items from the domain [n] with possible repetitions. The frequency vector x is an n-dimensional non-negative integer vector ... More

A nearly optimal and deterministic summary structure for update data streamsJan 04 2007Jan 05 2007The paper has been withdrawn due to an error in Lemma 1.

Fixed points and cycle structure of random permutationsSep 15 2015Jul 13 2016Using the recently developed notion of permutation limits this paper derives the limiting distribution of the number of fixed points and cycle structure for any convergent sequence of random permutations, under mild regularity conditions. In particular ... More

Isochronic PendulumJul 28 2011The classic simple pendulum is a device which works as a simple harmonic oscillator (S.H.M.) only approximately. The time period remains fixed as long as the amplitude is kept sufficiently small. This limitation makes it unsatisfactory choice for practical ... More

The Valence Transition Model of Pseudogap, Charge-Order and Superconductivity in Electron- and Hole-Doped Copper OxidesJul 02 2018We present a valence transition model for electron- and hole-doped cuprates, within which there occurs a discrete jump in ionicity Cu$^{2+} \to$ Cu$^{1+}$ upon doping, at or near optimal doping in the electron-doped compounds and at the pseudogap phase ... More

Threadbare Parallel Port DAQ CardAug 26 2007A very simple Data acquisition card was developed in our under-graduate class for interfacing with the parallel port of a standard computer. It was developed with the intention to enable students to do various physics experiments with the computer sparing ... More

Thermality in de Sitter and HolographyFeb 01 2002Mar 27 2002Assuming the existence of a $dS/CFT$ correspondence we study the holograms of sources moving along geodesics in the bulk by calculating the one point functions they induce in the boundary theory. In analogy with a similar study of uniformly accelerated ... More

Bulk Couplings to Noncommutative BranesMay 17 2001We propose a way to identify the gauge invariant operator in noncommutative gauge theory on a D-brane with nonzero B field which couples to a specific supergravity mode in the bulk. This uses the description of noncommutative gauge theories in terms of ... More

Brane Waves, Yang-Mills theories and CausalityJan 03 1999Jan 22 1999We provide evidence for the validity of AdS/CFT correspondence in the Coulomb branch by comparing the Yang-Mills effective action with the potential between waves on two separated test 3-branes in the presence of a large number of other 3-branes. For ... More

Holograms of Branes in the Bulk and Acceleration Terms in SYM Effective ActionMay 05 1999Jul 02 1999If the AdS/CFT correspondence is valid in the Coulomb branch, the potential between waves on a pair of test branes in the bulk should be reproduced by the relevant Yang-Mills theory effective action on the boundary. Earlier work has provided evidence ... More

The Effectiveness of D-branes in the Description of Near-Extremal Black HolesMar 21 1997Apr 24 1997It is known that weak coupling calculations of absorption or emission by slightly non-extremal D-brane configurations are in exact agreement with semiclassical results for the black holes they describe at strong couplings. We investigate one open string ... More

Mean-Value of Product of Shifted Multiplicative Functions and Average Number of Points on Elliptic CurvesAug 14 2014Sep 03 2014In this paper, we consider the mean value of the product of two real valued multiplicative functions with shifted arguments. The functions $F$ and $G$ under consideration are close to two nicely behaved functions $A$ and $B$, such that the average value ... More

Two new explicit formulas for the Bernoulli NumbersMay 23 2019In this brief note, we give two explicit formulas for the Bernoulli Numbers in terms of the Stirling numbers of the second kind, and the Eulerian Numbers. To the best of our knowledge, these formulas are new. We also derive two more probably known formulas. ... More

Estimating small frequency moments of data stream: a characteristic function approachMay 07 2010May 29 2010A data stream is viewed as a sequence of $M$ updates of the form $(\text{index},i,v)$ to an $n$-dimensional integer frequency vector $f$, where the update changes $f_i$ to $f_i + v$, and $v$ is an integer and assumed to be in $\{-m, ..., m\}$. The $p$th ... More

Spectrum Sharing Between A Surveillance Radar and Secondary Wi-Fi NetworksFeb 02 2016Co-existence between unlicensed networks that share spectrum spatio-temporally with terrestrial (e.g. Air Traffic Control) and shipborne radars in 3-GHz band is attracting significant interest. Similar to every primary-secondary coexistence scenario, ... More

A subclass of close-to-convex harmonic mappingsJul 14 2012A subclass of complex-valued close-to-convex harmonic functions that are univalent and sense-preserving in the open unit disc is investigated. The coefficient estimates, growth results, area theorem, boundary behavior, convolution and convex combination ... More

Universality of the mean-field for the Potts modelAug 17 2015May 05 2016We consider the Potts model with $q$ colors on a sequence of weighted graphs with adjacency matrices $A_n$, allowing for both positive and negative weights. Under a mild regularity condition the mean-field prediction for the log partition function of ... More

Existence of fixed points for pairs of mappings and application to Urysohn integral equationsSep 09 2017In this paper, we establish some common fixed point results for two pairs of weakly compatible mappings in the setting of $C$-complex valued metric space. Also, as application of the proved result, we obtain the existence and uniqueness of a common solution ... More

Signature of topological phases in ZitterbewegungMay 07 2016We have studied the Zitterbewegung effect on an infinite two dimensional sheet with honeycomb lattice. By tuning the perpendicular electric field and the magnetization of the sheet, it can enter different topological phases. We have shown that the longitudinal ... More

Spin Orbit Torque in two dimensional Antiferromagnetic Topological InsulatorsSep 05 2016Nov 09 2016We investigate spin transport in two dimensional ferromagnetic (FTI) and antiferromagnetic (AFTI) topological insulators. In presence of an in plane magnetization AFTI supports zero energy modes, which enables topologically protected edge conduction at ... More

Quantum state transformations and the Schubert calculusOct 07 2004Recent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper we survey some of the more concrete aspects of the approach with a particular focus on applications ... More

D branes in 2d String Theory and Classical limitsJan 12 2004In the matrix model formulation of two dimensional noncritical string theory, a D0 brane is identified with a single eigenvalue excitation. In terms of open string quantities (i.e fermionic eigenvalues) the classical limit of a macroscopically large number ... More

Old and New Scaling Laws in Quantum QuenchAug 15 2016Oct 12 2016The response of a many body system to a time dependent coupling which passes through or approaches a critical point displays universal scaling behavior. In some regimes, scaling laws have been known since the 1970's. Recently holographic techniques have ... More

TASEP on parallel tracks: effects of mobile bottlenecks in fixed segmentsSep 10 2014May 28 2017We study the flux of totally asymmetric simple exclusion processes (TASEPs) on a twin co-axial square tracks. In this biologically motivated model the particles in each track act as mobile bottlenecks against the movement of the particles in the other ... More

A comprehensive class of harmonic functions defined by convolution and its connection with integral transforms and hypergeometric functionsJan 13 2013Oct 25 2013For given two harmonic functions $\Phi$ and $\Psi$ with real coefficients in the open unit disk $\mathbb{D}$, we study a class of harmonic functions $f(z)=z-\sum_{n=2}^{\infty}A_nz^{n}+\sum_{n=1}^{\infty}B_n\bar{z}^n$ $(A_n, B_n \geq 0)$ satisfying \[\RE ... More

Asymptotic expansions for moments of number of comparisons used by the randomized quick sort algorithmOct 18 2016Mar 18 2017We calculate asymptotic expansions for the moments of number of comparisons used by the randomized quick sort algorithm using the singularity analysis of certain generating functions.

On the Fairness of Wi-Fi and LTE-LAA CoexistenceApr 29 2018With both small-cell LTE and 802.11 networks now available as alternatives for deployment in unlicensed bands at 5 GHz, investigation into their coexistence is a topic of great interest. 3GPP Rel. 14 has standardized LTE licensed assisted access (LAA) ... More

Quantum NanomechanicsFeb 28 2008Quantum Nanomechanics is the emerging field which pertains to the mechanical behavior of nanoscale systems in the quantum domain. Unlike the conventional studies of vibration of molecules and phonons in solids, quantum nanomechanics is defined as the ... More

Dodecatonic Cycles and Parsimonious Voice-Leading in the Mystic-Wozzeck GenusMay 26 2018This paper develops a unified voice-leading model for the genus of mystic and Wozzeck chords. These voice-leading regions are constructed by perturbing symmetric partitions of the octave, and new Neo-Riemannian transformations between nearly symmetric ... More

Measurements of spin alignment of vector mesons and global polarization of hyperons with ALICE at the LHCNov 06 2017We present the measurements related to global polarization of $\Lambda$ hyperons and spin alignment of $\mathrm{K^{*0}}~$ vector mesons at mid-rapidity for Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}~$= 2.76 TeV using the ALICE detector at the LHC. The ... More

STAR experiment results from the beam energy scan program at RHICJun 29 2011We present the first results using the STAR detector from the Beam Energy Scan (BES) program at the Relativistic Heavy-Ion Collider (RHIC). In this program, Au ion collisions at center of mass energies (\sqrt{s_{NN}}) of 7.7, 11.5 and 39 GeV allowed RHIC ... More

Particle production at forward rapidity in d+Au and Au+Au collisions in STAR experiment at RHICSep 30 2005Oct 02 2005We present the recent results from the STAR experiment on charged and neutral particle measurements at the forward rapidity in d+Au collisions at sqrt{s_{NN}} = 200 GeV and Au+Au collisions at sqrt{s_{NN}} = 62.4 GeV. The nuclear modification factor for ... More

Exploring the QCD phase diagram through relativistic heavy ion collisionsNov 15 2013We present a review of the studies related to establishing the QCD phase diagram through high energy nucleus-nucleus collisions. We particularly focus on the experimental results related to the formation of a quark-gluon phase, crossover transition and ... More

Search for color charge dependence of energy loss at RHICMay 07 2007May 18 2007The non-Abelian feature of quantum chromodynamics (QCD) results in the gluons losing more energy than quarks in the medium formed in high energy heavy-ion collisions. Experimental results in p+p collisions when compared to NLO pQCD calculations show that ... More

Production process dependence of neutrino flavor conversionJun 11 1997Oct 08 1997We perform a covariant wave-packet analysis of neutrino oscillations taking into account the lifetime of the neutrino production process . We find that flavor oscillations in space are washed out when the neutrinos are produced from long lived resonances ... More

An Analytic Description of Light Emission in SonoluminescenceDec 15 1999May 15 2000Light emission in sonoluminescence is shown to be a lasing process with a wide gain bandwidth. Population inversion of the gas molecules inside the bubble is achieved by hydrodynamical pumping. Analytic expressions are derived for the sonoluminescence ... More

Notes on Decoherence at Absolute ZeroDec 14 1999The problem of electron decoherence at low temperature is analyzed from the perspective of recent experiments on decoherence rate measurement and on related localization phenomena in low-dimensional systems. Importance of decoherence at zero temperature, ... More

Revisiting Calculation of Moments of Number of Comparisons used by the Randomized Quick Sort AlgorithmSep 07 2016Sep 18 2016We revisit the method of Kirschenhofer, Prodinger and Tichy [KHT87] [KHT] to calculate the moments of comparisons used by the quick sort algorithm. We reemphasize that this approach helps in calculating these quantities with less computation. We also ... More

No zero-crossings for random polynomials and the heat equationAug 11 2012Jan 09 2015Consider random polynomial $\sum_{i=0}^na_ix^i$ of independent mean-zero normal coefficients $a_i$, whose variance is a regularly varying function (in $i$) of order $\alpha$. We derive general criteria for continuity of persistence exponents for centered ... More

TASEP on parallel tracks: effects of mobile bottlenecks in fixed segmentsSep 10 2014We study the flux of totally asymmetric simple exclusion processes (TASEPs) on a twin co-axial square tracks. In this biologically motivated model the particles in each track act as mobile bottlenecks against the movement of the particles in the other ... More

Spin Orbit Torque in two dimensional Antiferromagnetic Topological InsulatorsSep 05 2016Dec 31 2016We investigate spin transport in two dimensional ferromagnetic (FTI) and antiferromagnetic (AFTI) topological insulators. In presence of an in plane magnetization AFTI supports zero energy modes, which enables topologically protected edge conduction at ... More

Fully Starlike and Convex Harmonic Mappings of order αJul 17 2012The hereditary property of convexity and starlikeness for conformal mappings does not generalize to univalent harmonic mappings. This failure leads us to the notion of fully starlike and convex mappings of order \alpha, (0\leq \alpha<1). A bound for the ... More

An Information Theoretical Analysis of Kinase Activated Phosphorylation Dephosphorylation CycleDec 20 2011Signal transduction, the information processing mechanism in biological cells, is carried out by a network of biochemical reactions. The dynamics of driven biochemical reactions can be studied in terms of nonequilibrium statistical physics. Such systems ... More

Revisiting calculation of moments of number of comparisons used by the randomized quick sort algorithmSep 07 2016Oct 21 2016We revisit the method of Kirschenhofer, Prodinger and Tichy to calculate the moments of comparisons used by the quick sort algorithm. We reemphasize that this approach helps in calculating these quantities with less computation. We also point out that ... More

Joint estimation of parameters in Ising modelJan 19 2018We study joint estimation of the inverse temperature and magnetization parameters $(\beta,B)$ of an Ising model with a non-negative coupling matrix $A_n$ of size $n\times n$, given one sample from the Ising model. We give a general bound on the rate of ... More

Two new explicit formulas for the Bernoulli NumbersMay 23 2019May 28 2019In this brief note, we give two explicit formulas for the Bernoulli Numbers in terms of the Stirling numbers of the second kind, and the Eulerian Numbers. To the best of our knowledge, these formulas are new. We also derive two more probably known formulas. ... More

Degrees of freedom in two dimensional string theoryNov 30 1995We discuss two issues regarding the question of degrees of freedom in two dimensional string theory. The first issue relates to the classical limit of quantum string theory. In the classical theory one requires an infinite number of fields in addition ... More

Geometric Entropy of Nonrelativistic Fermions and Two Dimensional StringsJan 20 1995Mar 03 1995We consider the geometric entropy of free nonrelativistic fermions in two dimensions and show that it is ultraviolet finite for finite fermi energies, but divergent in the infrared. In terms of the corresponding collective field theory this is a {\em ... More

Revisiting Calculation of Moments of Number of Comparisons used by the Randomized Quick Sort AlgorithmSep 07 2016Oct 09 2016We revisit the method of Kirschenhofer, Prodinger and Tichy [KHT87] [KHT] to calculate the moments of comparisons used by the quick sort algorithm. We reemphasize that this approach helps in calculating these quantities with less computation. We also ... More

Spin Orbit Torque in two dimensional Antiferromagnetic Topological InsulatorsSep 05 2016We investigate spin transport in two dimensional ferromagnetic (FTI) and antiferromagnetic (AFTI) topological insulators. Contrary to FTI, AFTI supports zero energy modes in presence of an in plane magnetic order, which enables topologically protected ... More

Optical Probes of the Quantum-Entangled Triplet-Triplet State in a Heteroacene DimerSep 25 2018The nature and extent of the spin-entanglement in the triplet-triplet biexciton with total spin zero in correlated-electron $\pi$-conjugated systems continues to be an enigma. Differences in the ultrafast transient absorption spectra of free triplets ... More

Diagrammatic Exciton Basis Theory of the Photophysics of Pentacene DimersJul 14 2017Covalently linked acene dimers are of interest as candidates for intramolecular singlet fission. We report many-electron calculations of the energies and wavefunctions of the optical singlets, the lowest triplet exciton and the triplet-triplet biexciton, ... More

Construction of subclasses of univalent harmonic mappingsSep 01 2012Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. ... More

Halpha imaging survey of Wolf-Rayet galaxies: morphologies and star formation ratesJun 08 2016The Halpha and optical broadband images of 25 nearby Wolf-Rayet (WR) galaxies are presented. The WR galaxies are known to have the presence of a recent ($\le$10 Myr) and massive star formation episode. The photometric Halpha fluxes are estimated, and ... More

Univalence and convexity in one direction of the convolution of harmonic mappingsFeb 23 2013Let $\mathcal{H}$ denote the class of all complex-valued harmonic functions $f$ in the open unit disk normalized by $f(0)=0=f_{z}(0)-1=f_{\bar{z}}(0)$, and let $\mathcal{A}$ be the subclass of $\mathcal{H}$ consisting of normalized analytic functions. ... More

A 5-Dimensional Tonnetz for Nearly Symmetric HexachordsJun 15 2018The standard 2-dimensional Tonnetz describes parsimonious voice-leading connections between major and minor triads as the 3-dimensional Tonnetz does for dominant seventh and half-diminished seventh chords. In this paper, I present a geometric model for ... More

Phi-measure and Disoriented chiral condensatesMar 05 2002Fluctuations in the ratio of neutral to charged pions arising due to formation of disoriented chiral condensates (DCC) are discussed using the Phi-measure. The properties of the measure for various cases of DCC and non-DCC are discussed. The effect of ... More

Learning Semantic String Transformations from ExamplesApr 26 2012We address the problem of performing semantic transformations on strings, which may represent a variety of data types (or their combination) such as a column in a relational table, time, date, currency, etc. Unlike syntactic transformations, which are ... More

Holography and Cosmological SingularitiesJun 28 2007Nov 20 2007Certain null singularities in ten dimensional supergravity have natural holographic duals in terms of Matrix Theory and generalizations of the AdS/CFT correspondence. In many situations the holographic duals appear to be well defined in regions where ... More

Black Hole Entropy and String TheoryMar 01 1996Apr 01 1996This is an expanded version of a talk given at ``{\em IInd Recontre du Vietnam}'' held at Ho Chi Minh City in October, 1995. We discuss several aspects of black hole entropy in string theory. We first explain why the geometric entropy in two dimensional ... More

Emission from parallel p-brane Black HolesMay 21 1997The entropy of a near-extremal black hole made of parallel D-branes has been shown to agree, upto a numerical factor, with that of the gas of massless open string states on the brane worldvolume when the string coupling is chosen suitably. We investigate ... More

Connecting Quantum Discord with CoherenceNov 01 2016Nov 17 2016Quantum discord has been studied extensively as a measure of non-classical correlations which includes entanglement as a subset. Although it is well known that non-zero discord can exist without entanglement, the origin of quantum discord is not well ... More

The One Dimensional Matrix Model and String TheoryNov 19 1992We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model we show how the fluctuations of the collective ... More

Matrix Models and Nonperturbative String Propagation in Two-Dimensional Black Hole BackgroundsMar 19 1993We identify a quantity in the $c=1$ matrix model which describes the wavefunction for physical scattering of a tachyon from a black hole of the two dimensional critical string theory. At the semiclassical level this quantity corresponds to the usual picture ... More

Normal state of metal-intercalated phenacene crystals: Role of electron correlationsJul 11 2016In this work we study the effect of long range electron-electron correlations on the behavior of the normal state of metal-intercalated phenacene crystals. While the individual phenacene molecules are modeled by the Pariser-Parr-Pople Hamiltonian with ... More

On Additive Representation FunctionsJul 31 2012May 08 2014Let $\A=\{a_1<a_2<a_3.....<a_n<...\}$ be an infinite sequence of integers and let $R_2(n)=|\{(i,j):\ \ a_i+a_j=n;\ \ a_i,a_j\in \A;\ \ i\le j\}|$. We define $S_k=\s_{l=1}^k(R_2(2l)-R_2(2l+1))$. We prove that, if $L^{\infty}$ norm of $S_k^+(=\max\{S_k,0\})$ ... More

Signature of topological phases in ZitterbewegungMay 07 2016Nov 09 2016We have studied the {\em Zitterbewegung} effect on an infinite two dimensional sheet with honeycomb lattice. By tuning the perpendicular electric field and the magnetization of the sheet, it can enter different topological phases. We have shown that the ... More

Signature of topological transition in persistent current in a Dirac RingJul 18 2016We study the persistent current in a one dimensional Dirac ring and show that the change of spin current with respect to an applied perpendicular electric field can be used to identify the topological phases. We further study the effect of Rashba spin ... More

Designing emissive conjugated polymers with small optical gaps: a step towards organic polymeric infrared lasersOct 13 1999We show that chemical modification of the trans-polyacetylene structure that involves substitution of the backbone hydrogen atoms with conjugated side groups, leads to reduction of the backbone bond alternation as well as screening of the effective Coulomb ... More

Inference in Ising ModelsJul 25 2015Oct 27 2015The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, the maximum pseudolikelihood estimate (MPLE) of the natural parameter ... More

Entropic Empirical Mode DecompositionJul 11 2015Jan 26 2016Empirical Mode Decomposition(EMD) is an adaptive data analysis technique for analyzing nonlinear and nonstationary data[1]. EMD decomposes the original data into a number of Intrinsic Mode Functions(IMFs)[1] for giving better physical insight of the data. ... More

Microstate Dependence of Scattering from the D1-D5 SystemDec 08 2008We investigate the question of distinguishing between different microstates of the D1-D5 system (with charges Q_1 and Q_5), by scattering with an incoherent beam, composed of a supergravity probe, with central energy E_0 and width (\Delta E). The scattering ... More

Radius-margin bounds for deep neural networksNov 03 2018Explaining the unreasonable effectiveness of deep learning has eluded researchers around the globe. Various authors have described multiple metrics to evaluate the capacity of deep architectures. In this paper, we allude to the radius margin bounds described ... More

Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approachFeb 11 2012Aug 15 2012We study the time evolution of the mass gap of the O(N) non-linear sigma model in 2+1 dimensions due to a time-dependent coupling in the large-$N$ limit. Using the Schwinger-Keldysh approach, we derive a set of equations at large $N$ which determine the ... More

$CP^{N-1}$ Models at a Lifshitz PointJun 17 2009Sep 09 2009We consider $CP^{N-1}$ models in $d+1$ dimensions around Lifshitz fixed points with dynamical critical exponent $z$, in the large-N expansion. It is shown that these models are asymptotically free and dynamically generate a mass for the $CP^{N-1}$ fields ... More

pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy SpheresAug 10 2005Sep 15 2005We find pp wave solutions in string theory with null-like linear dilatons. These provide toy models of big bang cosmologies. We formulate Matrix String Theory in these backgrounds. Near the big bang ``singularity'', the string theory becomes strongly ... More

Black Hole Formation and Space-Time Fluctuations in Two Dimensional Dilaton Gravity and ComplementarityJan 20 1994May 15 1994We study black hole formation in a model of two dimensional dilaton gravity and 24 massless scalar fields with a boundary. We find the most general boundary condition consistent with perfect reflection of matter and the constraints. We show that in the ... More

On Fixed-point theorems in Intuitionistic Fuzzy metric Space IMar 15 2011In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined \,$(\,\epsilon \,,\, \lambda\,)$\, IF-uniformly locally ... More

A Note on Generalized Intuitionistic Fuzzy $ψ$ Normed Linear SpaceMay 22 2010In respect of the definition of intuitionistic fuzzy n-norm \cite{Vijayabalaji}, the definition of generalised intuitionistic fuzzy $\psi$ norm (\, in short GIF$\psi$N \,) is introduced over a linear space and there after a few results on generalized ... More

Pressure Effects on the Atomic and Electronic Structure of Aligned Small Diameter Carbon NanotubesMay 05 2008Aug 27 2008Density functional methods have been used to calculate the electronic properties of aligned smalldiameter single-walled carbon nanotubes under hydrostatic pressures. Abrupt pressure induced semiconductor-metal and metal-semiconductor transitions concomitant ... More

Analysis of $L^p$-type estimates of Poisson transform on Homogeneous TreesAug 29 2018In this article we prove the restriction theorem for Helgason-Fourier transform on homogeneous tree. Our proof is based on the duality argument and the norm estimates of Poisson transform. We also characterize all eigenfunctions of the laplacian on homogeneous ... More

Data Dissemination in Wireless Networks with Network CodingMar 24 2012Dec 08 2013We investigate the use of network coding for information dissemination over a wireless network. Using network coding allows for a simple, distributed and robust algorithm where nodes do not need any information from their neighbors. In this paper, we ... More

Algorithm For Multi-Hand Finger Counting: An Easy ApproachApr 10 2014In this paper we propose an easy algorithm for real time hand finger counting involving one or more than one hand. Hand finger counting is a simple medium for Human-Computer Interface which can prove to be a convenient input method for driving interactive ... More

Well-Posedness Of Common Fixed Point Theorem For Three and Four Mappings Under Strict Contractive Conditions In Fuzzy metric SpaceApr 16 2011None has studied the well-posedness of common fixed points in fuzzy metric space. In this paper, our target is to develop the well-posedness of common fixed points in fuzzy metric space. Also using weakly compatibility, implicit relation, property (E.A.) ... More

Boundary Dynamics in Dilaton GravityJul 04 1994Jul 05 1994We study the dynamics of the boundary dilaton gravity coupled to N massles scalars. We rederive the boundary conditions of [1] and [3] in a way which makes the requirement of reparametrization invariance and role of conformal anomaly explicit. We then ... More

Kibble-Zurek Scaling in Holographic Quantum Quench : BackreactionSep 25 2014Jan 20 2015We study gauge and gravity backreaction in a holographic model of quantum quench across a superfluid critical transition. The model involves a complex scalar field coupled to a gauge and gravity field in the bulk. In earlier work (arXiv:1211.1776) the ... More

High Probability Frequency Moment SketchesMay 28 2018We consider the problem of sketching the $p$-th frequency moment of a vector, $p>2$, with multiplicative error at most $1\pm \epsilon$ and \emph{with high confidence} $1-\delta$. Despite the long sequence of work on this problem, tight bounds on this ... More

SLAYER: Spike Layer Error Reassignment in TimeSep 05 2018Configuring deep Spiking Neural Networks (SNNs) is an exciting research avenue for low power spike event based computation. However, the spike generation function is non-differentiable and therefore not directly compatible with the standard error backpropagation ... More

A Neurodynamical System for finding a Minimal VC Dimension ClassifierMar 11 2015The recently proposed Minimal Complexity Machine (MCM) finds a hyperplane classifier by minimizing an exact bound on the Vapnik-Chervonenkis (VC) dimension. The VC dimension measures the capacity of a learning machine, and a smaller VC dimension leads ... More

Exact and Asymptotic Results on Coarse Ricci Curvature of GraphsJun 28 2013Jul 10 2013In this paper we study Ollivier's coarse Ricci-curvature for graphs, and obtain exact formulas for the Ricci-curvature for bipartite graphs and for the graphs with girth at least 5. These are the first formulas for Ricci-curvature which hold for a wide ... More

Matrix Membrane Big Bangs and D-brane ProductionFeb 10 2006Apr 14 2006We construct Matrix Membrane theory in pp wave backgrounds that have a null linear dilaton in Type IIB string theory. Such backgrounds can serve as toy models of big bang cosmologies. At late times only abelian degrees of freedom survive, and if the Kaluza-Klein ... More

Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT CorrespondenceJun 07 2002We elaborate on the symmetry breaking pattern involved in the Penrose limit of $AdS_{d+1} \times S^{d+1}$ spacetimes and the corresponding limit of the CFT dual. For d=2 we examine in detail how the symmetries contract to products of rotation and Heisenberg ... More

Large-N Collective Fields and HolographyApr 09 2003Apr 14 2003We propose that the euclidean bilocal collective field theory of critical large-N vector models provides a complete definition of the proposed dual theory of higher spin fields in anti de-Sitter spaces. We show how this bilocal field can be decomposed ... More

Link Delay Estimation via Expander GraphsJun 06 2011Dec 08 2013One of the purposes of network tomography is to infer the status of parameters (e.g., delay) for the links inside a network through end-to-end probing between (external) boundary nodes along predetermined routes. In this work, we apply concepts from compressed ... More