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Flexible Design for $α$-Duplex Communications in Multi-Tier Cellular NetworksNov 24 2015Apr 20 2016Backward compatibility is an essential ingredient for the success of new technologies. In the context of in-band full-duplex (FD) communication, FD base stations (BSs) should support half-duplex (HD) users' equipment (UEs) without sacrificing the foreseen ... More

Stability and Metastability of Traffic Dynamics in Uplink Random Access NetworksJun 11 2019We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson point process ... More

Harvesting Full-Duplex Rate Gains in Cellular Networks with Half-Duplex User TerminalsNov 01 2015Feb 28 2016Full-Duplex (FD) transceivers may be expensive in terms of complexity, power consumption, and price to be implemented in all user terminals. Therefore, techniques to exploit in-band full-duplex communication with FD base stations (BSs) and half-duplex ... More

A Unified Asymptotic Analysis of Area Spectral Efficiency in Ultradense Cellular NetworksDec 20 2017Apr 11 2018This paper studies the asymptotic properties of average area spectral efficiency (ASE) of a downlink cellular network in the limit of very dense base station (BS) and user densities. This asymptotic analysis relies on three assumptions: (1) interference ... More

SINR and Throughput of Dense Cellular Networks with Stretched Exponential Path LossMar 23 2017Nov 20 2017Distance-based attenuation is a critical aspect of wireless communications. As opposed to the ubiquitous power-law path loss model, this paper proposes a stretched exponential path loss model that is suitable for short-range communication. In this model, ... More

In-Band $α$-Duplex Scheme for Cellular Networks: A Stochastic Geometry ApproachSep 03 2015Jul 11 2016In-band full-duplex (FD) communications have been optimistically promoted to improve the spectrum utilization and efficiency. However, the penetration of FD communications to the cellular networks domain is challenging due to the imposed uplink/downlink ... More

In-Band Full-Duplex Communications for Cellular Networks with Partial Uplink/Downlink OverlapAug 12 2015Aug 25 2015In-band full-duplex (FD) communications have been optimistically promoted to improve the spectrum utilization in cellular networks. However, the explicit impact of spatial interference, imposed by FD communications, on uplink and downlink transmissions ... More

Can Uplink Transmissions Survive in Full-duplex Cellular Environments?Apr 09 2016In-band full-duplex (FD) communication is considered a potential candidate to be adopted by the fifth generation (5G) cellular networks. FD communication renders the entire spectrum simultaneously accessible by uplink and downlink, and hence, is optimistically ... More

Modeling Cellular Networks in Fading Environments with Dominant Specular ComponentsFeb 11 2016Feb 16 2016Stochastic geometry (SG) has been widely accepted as a fundamental tool for modeling and analyzing cellular networks. However, the fading models used with SG analysis are mainly confined to the simplistic Rayleigh fading, which is extended to the Nakagami-m ... More

Evolution of clusters in energetic heavy ion bombarded amorphous graphite-III: Energy spectra of charged clusters recoiling from Xe+ irradiationsSep 12 2016We report on a novel technique of heavy ion induced surface modification and clustering mechanisms in amorphous graphite using Direct Recoil Spectrometry. The charged clusters emanating as Direct Recoils from 50-150 keV Xe+ irradiated graphite surface ... More

The novel reseraches toward the proof of the Goldbach's conjecture by the novel functions, the novel conjecture, the Riemann zeta function, and the novel experimental computationsMay 25 2016In this paper, at first two new functions are given then three new functions are developed based on the first two functions. Using these functions accompanied by a novel method, we make a conjecture to prove "every even integer greater than 2 can be represented ... More

The Generalized Quantization Schemes for Games and its Application to Quantum InformationDec 09 2010Theory of quantum games is relatively new to the literature and its applications to various areas of research are being explored. It is a novel interpretation of strategies and decisions in quantum domain. In the earlier work on quantum games considerable ... More

Holographic Scalar Fields Models of Dark EnergyJun 26 2011Nov 02 2011Many theoretical attempts toward reconstructing the potential and dynamics of the scalar fields have been done in the literature by establishing a connection between holographic/agegraphic energy density and a scalar field model of dark energy. However, ... More

A Five Dimensional Space Without Local Lorentz InvarianceMar 24 2011A five dimensional space without invariance under local Lorentz transformations is studied, and the transformations under which the theory is invariant are introduced. We show that the Lorentz force is included in the ensuing equations of motion. The ... More

Local monotonicity for the Yang-Mills-Higgs flowJun 05 2015A local monotonicity formula for the Yang-Mills-Higgs flow on $G$-bundles over $\mathbb{R}^{n}$ ($n>4$) is proved. It is shown that the monotone quantity co\"incides on certain self-similar solutions with that appearing in existing non-local monotonicity ... More

Non-Abelian two-form gauge transformation and gauge theories in six dimensionsMar 19 2018A new non-Abelian gauge transformation for two-forms is introduced. Construction is based on a fixed map from the spacetime to the loop space which attachs a closed loop to each point of the spacetime. It is argued that this set-up is consistent with ... More

Formation of carbon nano and micro structures on C1+ irradiated copper surfacesSep 23 2016A series of experiments has identified mechanisms of carbon nano- and micro-structure formation at room temperature, without catalyst and in the environment of immiscible metallic surroundings. The structures include threaded nano fibres, graphitic sheets ... More

Rotating Black Holes in Einstein-Maxwell-Dilaton GravityNov 28 2007May 10 2008We present a new class of slowly rotating black hole solutions in $(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence of Liouville-type potential for the dilaton field and an arbitrary value of the dilaton coupling constant. ... More

Thermodynamical properties of topological Born-Infeld-dilaton black holesJan 27 2008We examine the $(n+1)$-dimensional $(n\geq3)$ action in which gravity is coupled to the Born-Infeld nonlinear electrodynamic and a dilaton field. We construct a new $(n+1)$-dimensional analytic solution of this theory in the presence of Liouville-type ... More

Higher dimensional charged $f(R)$ black holesSep 13 2012We construct a new class of higher dimensional black hole solutions of $f(R)$ theory coupled to a nonlinear Maxwell field. In deriving these solutions the traceless property of the energy-momentum tensor of the matter filed plays a crucial role. In $n$-dimensional ... More

Cardinal functions on continuous images of orderable compacta and applicationsJul 26 2012Nov 13 2016The class of Hausdorff spaces that are continuous images of compact orderable spaces is studied by analyzing the relationship between the elements of this class and compact orderable spaces in a back-and-forth fashion. Structure results for this class ... More

Werner-like States and Strategic Form of Quantum GamesJul 21 2013We quantize prisoners dilemma, chicken game and battle of sexes to explore the effect of quantization on their strategic form. The games start with Werner-like state as an initial state. We show that for the measurement in entangled basis the strategic ... More

Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravityJan 16 2013Jan 20 2013It is well known that by applying the first law of thermodynamics to the apparent horizon of a Friedmann-Robertson-Walker universe, one can derive the corresponding Friedmann equations in Einstein, Gauss-Bonnet, and more general Lovelock gravity. Is this ... More

Critical exponent for damped wave equations with nonlinear memoryApr 22 2010Sep 07 2010We consider the Cauchy problem in $\mathbb{R}^n,$ $n\geq 1,$ for a semilinear damped wave equation with nonlinear memory. Global existence and asymptotic behavior as $t\rightarrow\infty$ of small data solutions have been established in the case when $1\leq ... More

Interacting holographic dark energy in Brans-Dicke theoryJul 31 2009Oct 03 2009We study cosmological application of interacting holographic energy density in the framework of Brans-Dicke cosmology. We obtain the equation of state and the deceleration parameter of the holographic dark energy in a non-flat universe. As system's IR ... More

Charged rotating dilaton black strings in AdS spacesSep 06 2008We derive a class of charged rotating dilaton black string solutions in the background of anti-de-Sitter spaces with an appropriate combination of three Liouville-type dilaton potentials. We also present the suitable counterterm which removes the divergences ... More

Thermodynamics of apparent horizon and modified Friedman equationsDec 02 2010Starting from the first law of thermodynamics, $dE=T_hdS_h+WdV$, at apparent horizon of a FRW universe, and assuming that the associated entropy with apparent horizon has a quantum corrected relation, $S=\frac{A}{4G}-\alpha \ln \frac{A}{4G}+\beta \frac{4G}{A}$, ... More

Quantum State Tomography and Quantum GamesNov 03 2009Jul 27 2011We develop a technique for single qubit quantum state tomography using the mathematical setup of generalized quantization scheme for games. In our technique Alice sends an unknown pure quantum state to Bob who appends it with |0><0| and then applies the ... More

On solutions of some of unsolved problems in number theory, specifically on the distribution of primesMay 05 2016Jun 05 2016We solve some famous conjectures on the distribution of primes. These conjectures are to be listed as Legendre's, Andrica's, Oppermann's, Brocard's, Cram\'{e}r's, Shanks', and five Smarandache's conjectures. We make use of both Firoozbakht's conjecture ... More

Criteria for the growth of fullerenes and single-walled carbon nanotubes in sooting environmentsSep 01 2016The spherical curvature induced by pentagons in corannulenes and hexagonal sheets is shown to be the basic constituent that controls the growth of fullerenes and single-walled carbon nanotubes (SWNTs) in soot forming and carbon vapour environments. Formation ... More

Information generating, sharing and manipulating Source-Reservoir-Sink model of self-organizing dissipative structuresSep 07 2018Information-theoretic description of the signal transmitter, the channel and receiver is extended to the network of self-organizing dissipative structures consisting of a source, a reservoir and a sink. The information generation by the source is subjected ... More

Regenerative Soot-V: Spectroscopy of the regenerative sooting dischargesSep 17 2016The mechanisms and processes of the formation of the regenerative soot in a graphite hollow cathode discharge that produces and emits carbon clusters are presented. Mass spectrometry with a designed ExB velocity filter analyzes the entire range of the ... More

Regenerative Soot-I: Carbon cluster formation in regenerative sooting plasmasSep 13 2016Laboratory formation of large carbon clusters with m C atoms where m could be up to few thousand, in carbonaceous plasma, has been studied by using an especially designed ion source. Carbon is introduced into the glow discharge plasma by sputtering of ... More

General Formalism For the BRST SymmetrySep 20 2013In this paper we will discuss Faddeev-Popov method for field theories with a gauge symmetry in an abstract way. We will then develope a general formalism for dealing with the BRST symmetry. This formalism will make it possible to analyse the BRST symmetry ... More

Every even number greater than 2 is the sum of two primes provided Riemann hypothesis holdsMay 25 2016Nov 08 2017We solve Goldbach's conjecture for all the evens greater than 2. This solution is based upon the proof of Sabihi's first and second conjectures (my own conjectures on Goldbach's one) and Riemann Hypothesis is supposed to be correct. Our essential method ... More

Derivation of Relativistic law of Addition of Velocities from Superposition of Eigenfunctions and DiscretenessAug 20 2007We have defined a slowness, s, as the reciprocal conjugate of velocity, v. s = -ih/v. We have shown that Einstein's postulate (v has an upper limit) implies that s is discrete. A velocity operator is defined as the derivative with respect to s. Superposition ... More

Reciprocal Symmetric and Origin of Quantum StatisticsMar 21 2007Boltzmann's differential equation is replaced by the corresponding reciprocal symmetric finite difference equation. Finite difference translates discreteness of energy. Boltzmann's function, then, splits into two reciprocally related functions. One of ... More

Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoffOct 03 2009Nov 29 2009As soon as an interaction between holographic dark energy and dark matter is taken into account, the identification of IR cutoff with Hubble radius $H^{-1}$, in flat universe, can simultaneously drive accelerated expansion and solve the coincidence problem. ... More

Skyrme-Faddeev Lagrangian from reformulated Georgi-Glashow modelSep 19 2016Recently we proposed a decomposition for fields of Georgi-Glashow model and we interpreted Cho's decomposition as a result of some constraints on Georgi-Glashow's fields. These constraints, vacuum conditions, reduce the terms of Hamiltonian and energy ... More

Prisoners' Dilemma in Presence of Collective DephasingJul 22 2013We quantize prisoner dilemma in presence of collective dephasing with dephasing rate $\gamma $. It is shown that for two parameters set of strategies $Q\otimes Q$ is Nash equilibrium below a cut-off value of time. Beyond this cut-off it bifurcates into ... More

Friedmann equations from emergence of cosmic spaceApr 10 2013Apr 18 2013Padmanabhan [arXiv:1206.4916] argues that the cosmic acceleration can be understood from the perspective that spacetime dynamics is an emergence phenomena. By calculating the difference between the surface degrees of freedom and the bulk degrees of freedom ... More

On k(D)-blocksSep 23 2014Sep 24 2014The objective of this research paper is to study the relationship between a block of a finite group and a defect group of such block. We define a new notion which is called a strongly $k(D)$-block and give a necessary and sufficient condition of a block ... More

Raman Modes Non-classicality through Entangled Photons Coupling to Plasmonic ModesMar 13 2018In this article, non-classical properties of Raman modes are investigated. The original goal, actually, is to identify how and by which method we can induce non-classicality in Raman modes. We introduce a plasmonic system in which Raman dye molecules ... More

Observational Constraints on Nfields Phantom Power-LawJul 31 2012Feb 24 2014We investigate the analytical behavior of many scalar fields working collectively, where {\phi} i is the ith scalar field. Furthermore, we evaluate its parameter values by applying certain constraints on our model parameters, and then compare these values ... More

On the Firoozbakht's conjectureMar 28 2016Jun 05 2016This paper proves Firoozbakht's conjecture using Rosser and Schoenfelds' inequality on the distribution of primes. This inequality is valid for all natural numbers ${n\geq 21}$. Firoozbakht's conjecture states that if $ {p_{n}}$ and ${p_{(n+1)}}$ are ... More

Generalised Object Detection and Semantic Analysis: Casino Example using MatlabSep 17 2011Matlab version 7.1 had been used to detect playing cards on a Casino table and the suits and ranks of these cards had been identified. The process gives an example of an application of computer vision to a problem where rectangular objects are to be detected ... More

Finite time blow up for wave equations with strong damping in an exterior domainMay 19 2019We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power type nonlinearity |u|^p. We will establish blow-up results under some conditions on the initial data and the exponent p.

Monotonicity for p-harmonic vector bundle-valued k-formsJun 10 2015We investigate monotonicity properties of $p$-harmonic vector bundle-valued $k$-forms by studying the energy-momentum tensor associated with such a form. As a consequence, we obtain a unified proof of the monotonicity formul{\ae} for $p$-harmonic maps ... More

Isomorphism between Galilean and Lorentz Transformations and Special Relativity in Galilean AlgebraDec 06 2006We have shown that Lorentz transformation is not necessary to present relativistic relative velocity. A modified definition of velocity together with Galilean transformation is equivalent to relativistic relative velocity. On the other hand, Galilean ... More

Topological Born-Infeld-dilaton black holesOct 20 2007Feb 09 2008We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics. Black ... More

Entropic Corrections to Friedmann EquationsMar 30 2010Apr 27 2010Recently, Verlinde discussed that gravity can be understood as an entropic force caused by changes in the information associated with the positions of material bodies. In the Verlinde's argument, the area law of the black hole entropy plays a crucial ... More

Brane-Bulk energy exchange and agegraphic dark energyAug 09 2009Feb 06 2010We consider the agegraphic models of dark energy in a braneworld scenario with brane-bulk energy exchange. We assume that the adiabatic equation for the dark matter is satisfied while it is violated for the agegraphic dark energy due to the energy exchange ... More

Magnetic dilaton strings in anti-de Sitter spacesSep 07 2008Dec 22 2008With an appropriate combination of three Liouville-type dilaton potentials, we construct a new class of spinning magnetic dilaton string solutions which produces a longitudinal magnetic field in the background of anti-de Sitter spacetime. These solutions ... More

Comment on "Learning to Build the Bomb"Aug 06 2008According to Alisa Carrigan's opinion in Physics Today Dec 2007, to prevent proliferation of nuclear weapons, certain rules should be set to prevent the spread of a particular kind of knowledge. Here, I argue that a knowledge blockade does not work, and ... More

The strategic form of quantum prisoners' dilemmaJul 21 2013In its normal form prisoners' dilemma (PD) is represented by a payoff matrix showing players strategies and payoffs. To obtain distinguishing trait and strategic form of PD certain constraints are imposed on the elements of its payoff matrix. We quantize ... More

The basis problem for subspaces of monotonically normal compactaFeb 17 2012Jul 21 2016We prove, assuming Souslin's Hypothesis, that each uncountable subspace of each zero-dimensional monotonically normal compact space contains an uncountable subset of the real line with either the metric, the Sorgenfrey, or the discrete topology.

Ellipsoidal anisotropies in linear elasticity Extension of Saint Venant's work to phenomenological modelling of materialsDec 23 2010Several families of elastic anisotropies were introduced by Saint Venant (1863) for which the polar diagram of elastic parameters in different directions of the material (indicator surface) are ellipsoidal. These families recover a large variety of models ... More

Subjectivity Classification using Machine Learning Techniques for Mining Feature-Opinion Pairs from Web Opinion SourcesDec 25 2013Due to flourish of the Web 2.0, web opinion sources are rapidly emerging containing precious information useful for both customers and manufactures. Recently, feature based opinion mining techniques are gaining momentum in which customer reviews are processed ... More

Review Mining for Feature Based Opinion Summarization and VisualizationApr 13 2015Apr 23 2015The application and usage of opinion mining, especially for business intelligence, product recommendation, targeted marketing etc. have fascinated many research attentions around the globe. Various research efforts attempted to mine opinions from customer ... More

Modified Friedmann Equations from Tsallis EntropyJun 07 2018Aug 03 2018It was shown by Tsallis and Cirto that thermodynamical entropy of a gravitational system such as black hole must be generalized to the non-additive entropy, which is given by $S_h=\gamma A^{\beta}$, where $A$ is the horizon area and $\beta$ is the nonextensive ... More

Cosmological evolution of the proton-to-electron mass ratio in an extended Brans-Dicke theoryJun 05 2018Feb 09 2019We study variation of the proton-to-electron mass ratio $ \mu=m_{p}/m_{e} $ by incorporating standard model (SM) of particle physics into an extended Brans-Dicke theory. We show that the evolution of the Higgs vacuum expectation value (VEV), with expansion ... More

Vacuum of the Standard Model and its Cosmological AspectsSep 14 2017Recently, we have proposed a definition for the vacuum and suggest a mechanism for symmetry breaking. In this mechanism extra massless fields, vacuum fields, arise. We apply our method to the standard model of particle physics and obtain vacuum sector ... More

Vacuum and Symmetry Breaking: New ApproachSep 12 2017Mar 22 2018We propose a new mechanism for symmetry breaking in which, apart from particle degrees of freedom, topological degrees of freedom also emerge. In this method, a decomposition for the fields of the Yang-Mills-Higgs theory is introduced and Lagrangian is ... More

Distributed Navigation of Multi-Robot Systems For Sensing CoverageSep 29 2016This research investigates decentralized control of mobile robots specifically for coverage problems. There are different approaches associated with decentralized control strategy for coverage control problems. We perform a comparative review of these ... More

Continuum elastic model of fullerenes and the sphericity of the carbon onion shellsAug 30 2016A continuum elastic model of fullerenes is presented by utilizing the analogy between the closed carbon cages and elastic shells. We derive expressions for the curvature related strain energies Ep of the pentagonal protrusions. We propose to explain the ... More

Stanley Decompositions and PolarizationNov 11 2009We define nice partitions of the multicomplex associated to a Stanley ideal. As the main result we show that if the monomial ideal $I$ is a CM Stanley ideal, then $I^p$ is a Stanley ideal as well, where $I^p$ is the polarization of $I$.

An approach towards the proof of the strong Goldbach's conjecture for sufficiently large even integersMay 28 2016Nov 04 2017We approach a new proof of the strong Goldbach's conjecture for sufficiently large even integers by applying the Dirichlet's series. Using the Perron formula and the Residue Theorem in complex variable integration, one could show that any large even integer ... More

Measurements of associated production of vector bosons and jets in CMSOct 13 2017The most recent results of Standard Model physics using 8 and 13 TeV proton-proton collision data recorded by the CMS detector during the LHC Runs I and II are reviewed. This overview includes studies of several results of vector boson production in association ... More

Reciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy LevelsApr 02 2007Classical oscillator differential equation is replaced by the corresponding (finite time) difference equation. The equation is, then, symmetrized so that it remains invariant under the change d going to -d, where d is the smallest span of time. This symmetric ... More

Reciprocal Symmetry and the Origin of SpinFeb 14 2007We have shown that Reciprocal Symmetric transformation shares the algebraic properties of Dirac Electron Theory more than Lorentz transformation and that the origin of spin is in Reciprocal Symmetry.

Reciprocal Symmetry and Equivalence between Relativistic and Quantum Mechanical ConceptsNov 11 2006We have defined slowness (or reciprocal velocity) corresponding to v as cc/v, where c is the speed of light and v is the corresponding velocity. Velocity and slowness are images of each other. Reciprocal symmetric law of addition of velocities fulfils ... More

Reduced basis methods- an application to variational discretization of parametrized elliptic optimal control problemsAug 16 2018We consider a class of parameter-dependent optimal control problems of elliptic PDEs with constraints of general type on the control variable. Applying the concept of variational discretization, [4], together with techniques from the Reduced basis method, ... More

An approach towards the proof of the strong Goldbach's conjecture for sufficiently large even integersMay 28 2016We approach a new proof of the strong Goldbach's conjecture for sufficiently large even integers by applying the Dirichlet's series. Using the Perron formula and the Residue Theorem in complex variable integration, one could show that any large even integer ... More

Thermodynamics of charged topological dilaton black holesSep 23 2007Oct 15 2007A class of $(n+1)$-dimensional topological black hole solutions in Einstein-Maxwell-dilaton theory with Liouville-type potentials for the dilaton field is presented. In these spacetimes, black hole horizon and cosmological horizon can be an $(n-1)$-dimensional ... More

Cardinal characteristics and monotonically normal compactaJul 26 2012Hausdorff spaces that are continuous images of a compact linearly ordered topological spaces are studied by employing a back-and-forth argument (between such spaces and compact linearly ordered topological spaces).

Interacting new agegraphic dark energy in non-flat Brans-Dicke cosmologyAug 05 2009Dec 19 2009We construct a cosmological model of late acceleration based on the new agegraphic dark energy model in the framework of Brans-Dicke cosmology where the new agegraphic energy density $\rho_{D}= 3n^2 m^2_p /\eta^{2}$ is replaced with $\rho_{D}= {3n^2\phi^2}/({4\omega ... More

Toroidal solutions in Horava GravityMay 06 2009Feb 24 2011Recently a new four-dimensional non relativistic renormalizable theory of gravity was proposed by Horava. This gravity reduces to Einstein gravity at large distances. In this paper by using the new action for gravity we present different toroidal solutions ... More

Agegraphic Chaplygin gas model of dark energyFeb 07 2010We establish a connection between the agegraphic models of dark energy and Chaplygin gas energy density in non-flat universe. We reconstruct the potential of the agegraphic scalar field as well as the dynamics of the scalar field according to the evolution ... More

Interacting agegraphic dark energy models in non-flat universeJul 29 2009Sep 12 2009A so-called "agegraphic dark energy" was recently proposed to explain the dark energy-dominated universe. In this Letter, we generalize the agegraphic dark energy models to the universe with spatial curvature in the presence of interaction between dark ... More

A Lorentz Gauge Theory of GravityDec 03 2014Dec 13 2015We present a Lorentz gauge theory of gravity in which the metric is not dynamical. Spherically symmetric weak field solutions are studied. We show that this solution contains the Schwarzschild spacetime at least to the first order of perturbation. Next, ... More

A Simulation Experiment on a Built-In Self Test Equipped with Pseudorandom Test Pattern Generator and Multi-Input Shift Register (MISR)Feb 04 2011This paper investigates the impact of the changes of the characteristic polynomials and initial loadings, on behaviour of aliasing errors of parallel signature analyzer (Multi-Input Shift Register), used in an LFSR based digital circuit testing technique. ... More

A Non-Self-Referential Paradox in Epistemic Game TheoryJan 25 2016In game theory, the notion of a player's beliefs about the game players' beliefs about other players' beliefs arises naturally. In this paper, we present a non-self-referential paradox in epistemic game theory which shows that completely modeling players' ... More

Degenerate Dark Matter at Galactic Scales: A BCS TheoryNov 02 2018We show that if dark matter in a typical galaxy is a degenerate Fermi gas, particles should have a mass of $\sim$ 1eV for the galaxy to be stable. While this is the mass range of the active neutrinos, they are not a dark matter candidate in SM-GR-$\Lambda$-CDM. ... More

Primordial Neutrinos: Hot in SM-GR-$Λ$-CDM, Cold in SM-LGTNov 08 2017May 20 2018We replace general relativity (GR) and the cosmological constant ($\Lambda$) in the standard cosmology (SM-GR-$\Lambda$-CDM) with a Lorentz gauge theory of gravity (LGT) and show that the standard model (SM) neutrinos can be the cold dark matter (CDM) ... More

A Macroscopically Effective Lorentz Gauge Theory of GravityMar 04 2016Oct 11 2016Following the ideas of effective field theories, we derive classically effective field equations of recently developed Lorentz gauge theory of gravity. It is shown that Newton's gravitational constant emerges as an effective coupling parameter if an extremely ... More

Finite time blow up for wave equations with strong damping in an exterior domainApr 05 2018We consider the initial boundary value problem in exterior domain for semilinear wave equations with power-type nonlinearity |u| p. We will establish blow-up results when p is less than or equal to Strauss' exponent which is the same one for the whole ... More

On solutions of some of unsolved problems in number theory, specifically on the distribution of primesMay 05 2016Jan 15 2018We solve some famous conjectures on the distribution of primes. These conjectures are to be listed as Legendre's, Andrica's, Oppermann's, Brocard's, Cram\'{e}r's, Shanks', and five Smarandache's conjectures. We make use of both Firoozbakht's conjecture ... More

An analytical proof for Lehmer's totient conjecture using Mertens' theoremsAug 25 2016We make an analytical proof for Lehmer's totient conjecture. Lehmer conjectured that there is no solution for the congruence equation $n-1\equiv 0~(mod~\phi(n))$ with composite integers,$n$, where $\phi(n)$ denotes Euler's totient function. He also showed ... More

Regenerative Soot-IV: The state of the carbon vapour in the regenerative sooting dischargeSep 15 2016Formation of the regenerative soot is the process of recycling and introduction of the cathode deposited carbon clusters into the discharge. The agglomerates of carbon clusters on the cathode release their constituents into the plasma that goes from the ... More

Information-theoretic model of self-organizing fullerenes and the emergence of C60Oct 14 2018An information-theoretic model describes the dissipative dynamical systems composed of ensembles of fragmenting, self-organizing fullerenes. The probabilities derived from the variations of the fullerene number densities that occur during cage-to-cage ... More

Reciprocity Independent Lorentz TransformationDec 18 2006We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses i.e. relative ... More

Investigating Warp Size Impact in GPUsMay 22 2012There are a number of design decisions that impact a GPU's performance. Among such decisions deciding the right warp size can deeply influence the rest of the design. Small warps reduce the performance penalty associated with branch divergence at the ... More

Optimal control of elliptic surface PDEs with pointwise bounds on the stateJun 09 2016We consider a linear-quadratic optimization problem with pointwise bounds on the state for which the constraint is given by the Laplace-Beltrami equation (to have uniqueness we add an lower order term) on a two-dimensional surface . By using finite elements ... More

Error analysis for global minima of semilinear optimal control problemsMay 02 2017In [1] we consider an optimal control problem subject to a semilinear elliptic PDE together with its variational discretization, where we provide a condition which allows to decide whether a solution of the necessary first order conditions is a global ... More

Dynamical Structure of the Fields in the Light Cone CoordinatesAug 10 2016Sep 03 2016It is well-known that additional constraints emerge in light cone coordinates. We enumerate the number of physical modes in light cone coordinates and compare it with conventional coordinates. We show that the number of Schrodinger modes is divided by ... More

All chalcogenide Raman parametric Laser, Wavelength Converter and Amplifier in a Single MicrowireJul 31 2013Compact, power efficient and fiber compatible lasers, wavelength converters and amplifiers are vital ingredients for the future fiber optic systems and networks. Nonlinear optical effects, like Raman scattering and parametric four wave mixing, offer a ... More

Efficient and broadband optical parametric four wave mixing in chalcogenide-PMMA hybrid microwiresFeb 14 2012Mar 26 2012The recent development of devices based on novel nonlinear materials like chalcogenides (ChGs), silicon (Si) and other semi-conductors has revolutionized the field of nonlinear photonics [1,2,3]. Among the nonlinear effects observed in these materials, ... More

Real Time Data WarehouseOct 19 2013Data Warehouse (DW) is an essential part of Business Intelligence. DW emerged as a fast growing reporting and analysis technique in early 1980s. Today, it has almost replaced relational databases. However, with passage of time, static and historic data ... More

Charged Black Holes in New Massive GravityJul 25 2010Nov 06 2010We construct charged black hole solutions to three-dimensional New Massive Gravity (NMG), by adding electromagnetic Maxwell and Chern-Simons actions. We find charged black holes in the form of warped AdS_3 and "log" solutions in specific critical point. ... More

Generalized second law of thermodynamics in Gauss-Bonnet braneworldNov 27 2008Jul 25 2009We investigate the validity the generalized second law of thermodynamics in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. Employing the derived entropy expression associated with the apparent horizon, ... More