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Bounded Fuzzy Possibilistic MethodFeb 08 2019This paper introduces Bounded Fuzzy Possibilistic Method (BFPM) by addressing several issues that previous clustering/classification methods have not considered. In fuzzy clustering, object's membership values should sum to 1. Hence, any object may obtain ... More

Field Equations and Radial Solution in a Noncommutative Spherically Symmetric GeometryDec 09 2014We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism invariant ... More

Modular Abelian Varieties of Odd Modular DegreeOct 03 2009In this paper, we will study modular Abelian varieties with odd congruence numbers by examining the cuspidal subgroup of $J_0(N)$. We will show that the conductor of such Abelian varieties must be of a special type. For example, if $N$ is the conductor ... More

Geometric mean, splines and de Boor algorithm in geodesic spacesMar 04 2016Aug 26 2016We extend the concepts of de Casteljau and de Boor algorithms as well as splines to geodesic spaces and present some applications in geometric modeling. The concept of weighted geometric mean provides another approach to splines. We compare the corresponding ... More

Technical Report: Infinite Horizon Discrete-Time Linear Quadratic Gaussian Tracking Control DerivationJul 12 2018Dec 06 2018This technical report is an accompaniment to the paper "Differentially Private LQ Control" that is currently under review. This technical report provides a complete derivation of the infinite horizon discrete-time linear quadratic Gaussian tracking controller, ... More

On the Spectrum Sensing, Beam Selection and Power Allocation in Cognitive Radio Networks Using Reconfigurable AntennasMar 13 2019In this paper, we consider a cognitive radio (CR) system consisting of a primary user (PU) and a pair of secondary user transmitter (SUtx) and secondary user receiver (SUrx). The SUtx is equipped with a reconfigurable antenna (RA) which divides the angular ... More

A complex network approach to robustness and vulnerability of spatially organized water distribution networksAug 10 2010Aug 11 2010In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop redundancy) and system ... More

Complex network analysis of water distribution systemsApr 01 2011This paper explores a variety of strategies for understanding the formation, structure, efficiency and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical applications ... More

Efficient LLR Calculation for Non-Binary Modulations over Fading ChannelsFeb 10 2010Log-likelihood ratio (LLR) computation for non-binary modulations over fading channels is complicated. A measure of LLR accuracy on asymmetric binary channels is introduced to facilitate good LLR approximations for non-binary modulations. Considering ... More

Level lowering modulo prime powers and twisted Fermat equationsSep 01 2010We discuss a clean level lowering theorem modulo prime powers for weight $2$ cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations $ax^n+by^n+cz^n=0$.

Closed Form for Some Gaussian ConvolutionsFeb 10 2016Mar 07 2016The convolution of a function with an isotropic Gaussian appears in many contexts such as differential equations, computer vision, signal processing, and numerical optimization. Although this convolution does not always have a closed form expression, ... More

Training Recurrent Neural Networks by DiffusionJan 16 2016Feb 04 2016This work presents a new algorithm for training recurrent neural networks (although ideas are applicable to feedforward networks as well). The algorithm is derived from a theory in nonconvex optimization related to the diffusion equation. The contributions ... More

On the Hochschild homology of open Frobenius algebrasSep 13 2013Jun 27 2015We prove that the shifted Hochschild chain complex $C\_*(A,A)[m]$ of a symmetric open Frobenius algebra $A$ of degree $m$ has a natural homotopy coBV-algebra structure. As a consequence $HH\_*(A,A)[m]$ and $HH^*(A,A^\vee)[-m]$ are respectively coBV and ... More

Why should one compute periods of algebraic cycles?Feb 21 2016In this article we show how the data of integrals of algebraic differential forms over algebraic cycles can be used in order to prove that algebraic and Hodge cycle deformations of a given algebraic cycle are equivalent. We verify this equivalence for ... More

On EVH black hole solution in Heterotic string theoryDec 16 2012We study the near horizon geometry of charged rotating black holes in toroidal compactifications of heterotic string theory. We analyze the extremal vanishing horizon (EVH) limit for these black hole solu- tions and we will show that the near horizon ... More

Cosmological Solution from D-brane motion in NS5-Branes backgroundJul 10 2004Apr 13 2005We study dynamics of a D3-brane propagating in the vicinity of k coincident NS5 branes. We show that when $g_s$ is small, there exists a regime in which dynamics of the D-brane is governed by Dirac-Born-Infeld action while higher order derivative in the ... More

Primitive ideal space of Higher-rank graph $C^*$-algebras and decomposabilityDec 08 2017Sep 04 2018In this paper, we describe primitive ideal space of the $C^*$-algebra $C^*(\Lambda)$ associated to any locally convex row-finite $k$-graph $\Lambda$. To do this, we will apply the Farthing's desourcifying method on a recent result of Carlsen, Kang, Shotwell, ... More

Canonical quantization of anisotropic Bianchi I cosmology from scalar vector tensor Brans Dicke gravityApr 09 2019We applied a generalized scalar-vector-tensor Brans Dicke gravity model to study canonical quantization of an anisotropic Bianchi I cosmological model. Regarding an anisotropic Harmonic Oscillator potential we show that the corresponding Wheeler de Witt ... More

Quotients of Ultragraph C*-AlgebrasNov 25 2015Let $\mathcal{G}$ be an ultragraph and $C^*(\mathcal{G})$ be its $C^*$-algebra defined by Tomforde. If $I_{(H,B)}$ is a gauge invariant ideal of $C^*(\mathcal{G})$, we investigate structure of the quotient $C^*(\mathcal{G})/I_{(H,B)}$ by introducing the ... More

Time and Dirac Observables in Friedmann CosmologiesJan 28 2008A cosmological time variable is emerged from the Hamiltonian formulation of Friedmann model to measure the evolution of dynamical observables in the theory. A set of observables has been identified for the theory on the null hypersurfaces that its evolution ... More

Moduli of polarized Hodge structuresFeb 21 2008Around 1970 Griffiths introduced the moduli of polarized Hodge structures/the period domain $D$ and described a dream to enlarge $D$ to a moduli space of degenerating polarized Hodge structures. Since in general $D$ is not a Hermitian symmetric domain, ... More

Hodge cycles for cubic hypersurfacesFeb 03 2019We study an algebraic cycle of the form $Z_0= r {\mathbb P}^{\frac{n}{2}}+\check r \check{\mathbb P}^{\frac{n}{2}}$, $r \in{\mathbb N},\check r \in{\mathbb Z},\ \ 1\leq r , |\check r |\leq 10,\ \ \gcd ( r ,\check r )=1$, inside the cubic Fermat variety ... More

Meromorphic connections on $\P1$ and the multiplicity of Abelian integralsMar 07 2002Apr 03 2002In this paper we introduce the concept of Abelian integrals in differential equations for an arbitrary vector bundle on $\P1$ with a meromorphic connection. In this general context we give an upper bound for the numbers we are looking for.

Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projectionsNov 30 2011In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita ... More

Mixed Hodge structure of affine hypersurfacesJul 05 2004Aug 30 2006In this article we introduce the mixed Hodge structure of the Brieskorn module of a polynomial $f$ in $\C^{n+1}$, where $f$ satisfies a certain regularity condition at infinity (and hence has isolated singularities). We give an algorithm which produces ... More

Ideal structure of Leavitt path algebras with coefficients in a unital commutative ringFeb 24 2012Oct 28 2012Let $E$ be an arbitrary (countable) graph and let $R$ be a unital commutative ring. We analyze the ideal structure of the Leavitt path algebra $\lr$ introduced by Mark Tomforde. We first modify the definition of basic ideals and we then develop the ideal ... More

Five-dimensional heterotic black holes and its dual IR-CFTDec 19 2012Jan 16 2013We analyze the possible dynamical emergence of IR conformal field theory describing the low- energy excitations of near-extremal black holes in five-dimensional compactification of heterotic strings. We find that, by tuning the mass and charges in such ... More

A Characterization of Inner Product Spaces Related to the Skew-Angular DistanceJan 06 2013A new refinement of the triangle inequality is presented in normed linear spaces. Moreover, a simple characterization of inner product spaces is obtained by using the skew-angular distance.

World-line observables and clocks in General RelativityJun 07 2004Nov 20 2005A proposal for the issue of time and observables in any parameterized theory such as general relativity is addressed. Introduction of a gauge potential 3-form A in the theory of relativity enables us to define a gauge-invariant quantity which can be used ... More

Dilatonic Brans-Dicke Anisotropic Collapsing Fluid Sphere And de Broglie Quantum Wave MotionJul 28 2014Jul 07 2016Two dimensional (2D) analogue of vacuum sector of the Brans Dicke (BD) gravity [1] is studied to obtain dynamics of anisotropic spherically symmetric perfect fluid. Our obtained static solutions behave as dark matter with state equation $\gamma=\frac{p(\rho)}{\varrho}=-0.25$ ... More

Wave function of the Universe, Preferred reference frame effects and metric signature transitionJun 07 2013Apr 14 2015Gravitational model of non-minimally coupled Brans Dicke (BD) scalar field $\phi$ with dynamical unit time-like four vector field is used to study flat Robertson Walker (RW) cosmology in the presence of variable cosmological parameter $V(\phi)=\Lambda\phi.$ ... More

Anisotropic Spherically Symmetric Collapsing Star From Higher Order Derivative Gravity TheoryDec 01 2015Adding linear combinations $R^2,R_{\mu\nu}R^{\mu\nu}$ and $R_{\mu\nu\eta\delta}R^{\mu\nu\eta\delta}$ with Einstein-Hilbert action we obtain interior metric of an an-isotropic spherically symmetric collapsing (ASSC) stellar cloud. We assume stress tensor ... More

Some properties of generalized and approximately dual frames in Hilbert spacesSep 25 2015In the present paper, some sufficient and necessary conditions for two frames $\Phi=(\varphi_n)_n$ and $\Psi=(\psi_n)_n$ under which they are approximately or generalized dual frames are determined depending on the properties of their analysis and synthesis ... More

First Non-Abelian Cohomology of Topological GroupsDec 22 2014Let $G$ be a topological group and $A$ a topological $G$-module (not necessarily abelian). In this paper, we define $H^{0}(G,A)$ and $H^{1}(G,A)$ and will find a six terms exact cohomology sequence involving $H^{0}$ and $H^{1}$. We will extend it to a ... More

On Topological Structure of the First Non-abelian Cohomology of Topological GroupsFeb 17 2014Aug 19 2014Let $G$, $R$ and $A$ be topological groups. Suppose that $G$ and $R$ act continuously on $A$, and $G$ acts continuously on $R$. In this paper, we define a partially crossed topological $G-R$-bimodule $(A,\mu)$, where $\mu:A\rightarrow R$ is a continuous ... More

Classical and Quantum Reissner-Nordström Black Hole Thermodynamics and first order Phase TransitionAug 03 2013Dec 17 2015First we consider CRNBH metric which is obtained by solving Einstein-Maxwell metric equation for a point electric charge $e$ inside of a spherical static body with mass $M$. It has 2 interior and exterior horizons. Using Bekenestein-Hawking entropy theorem ... More

Spherically symmetric Jordan-Brans-Dicke quantum gravity with de Broglie Bohm pilot wave perspectiveSep 23 2013Jan 24 2014We obtain two dimensional analogue of the Jordan-Brans-Dicke (JBD) gravity action described in four dimensional spherically symmetric curved space time metric. There will be two scalar fields, namely, the Brans Dicke (BD) $\phi$ and scale factor of 2-sphere ... More

Primitive ideals and pure infiniteness of ultragraph $C^*$-algebrasApr 16 2017Let $\mathcal{G}$ be an ultragraph and let $C^*(\mathcal{G})$ be the associated $C^*$-algebra introduced by Mark Tomforde. For any gauge invariant ideal $I_{(H,B)}$ of $C^*(\mathcal{G})$, we approach the quotient $C^*$-algebra $C^*(\mathcal{G})/I_{(H,B)}$ ... More

On Colorings of Graph PowersAug 06 2007Mar 28 2008In this paper, some results concerning the colorings of graph powers are presented. The notion of helical graphs is introduced. We show that such graphs are hom-universal with respect to high odd-girth graphs whose $(2t+1)$st power is bounded by a Kneser ... More

Calculation of mixed Hodge structures, Gauss-Manin connections and Picard-Fuchs equationsDec 13 2004In this article we introduce algorithms which compute iterations of Gauss-Manin connections, Picard-Fuchs equations of Abelian integrals and mixed Hodge structure of affine varieties of dimension $n$ in terms of differential forms. In the case $n=1$ such ... More

Constrained Best Approximation with Nonsmooth Nonconvex ConstraintsMar 18 2019In this paper, we consider the constraint set $K$ of inequalities with nonsmooth nonconvex constraint functions. We show that under Abadie's constraint qualification the "perturbation property" of the best approximation to any $x$ in $\R^n$ from a convex ... More

Five-dimensional EVH heterotic black holes and its dual IR-CFTJan 16 2013We analyze the possible dynamical emergence of IR conformal field theory describing the low-energy excitations of near-extremal black holes in five-dimensional compactification of heterotic strings. We find that, by tuning the mass and charges in such ... More

Simplicity and Pure Infiniteness of Kumjian-Pask AlgebrasAug 27 2016Sep 28 2016In this article, we focus on the purely infinite and simple Kumjian-Pask algebras. Given any finitely aligned higher-rank graph $\Lambda$ and unital commutative ring $R$, the Kumjian-Pask algebra $\mathrm{KP}_R(\Lambda)$ is a higher-rank generalization ... More

EVH Black Hole Solutions With Higher Derivative CorrectionsJan 17 2013We analyze the effect of higher derivative corrections to the near horizon geometry of the extremal vanishing horizon (EVH) black hole solutions in four dimensions. We restrict ourselves to the Gauss-Bonnet correction with a dilation dependent coupling ... More

Time and Observables in Unimodular General RelativityJan 29 2008Jun 09 2011A cosmological time variable is emerged from the hamiltonian formulation of unimodular theory of gravity to measure the evolution of dynamical observables in the theory. A set of constants of motion has been identified for the theory on the null hypersurfaces ... More

On algebraic structures of the Hochschild complexFeb 26 2013Jul 16 2015We first review various known algebraic structures on the Hochschild (co)homology of a differential graded algebras under weak Poincar{\'e} duality hypothesis, such as Calabi-Yau algebras, derived Poincar{\'e} duality algebras and closed Frobenius algebras. ... More

Center conditions: Rigidity of logarithmic differential equationsMay 07 2002Jul 05 2004In this paper we prove that any degree $d$ deformation of a generic logarithmic polynomial differential equation with a persistent center must be logarithmic again. This is a generalization of Ilyashenko's result on Hamiltonian differential equations. ... More

Center conditions for polynomial differential equations: discussion of some problemsDec 15 2005Classifications of irreducible components of the set of polynomial differential equations with a fixed degree and with at least one center singularity lead to some other new problems on Picard-Lefschetz theory and Brieskorn modules of polynomials. In ... More

Spherically symmetric curved space times from quantum fields backreaction corrections in two dimensional analogueJun 12 2014Sep 07 2016Aim of the paper is to obtain 2d analogue of the backreaction equation which will be useful to study final state of quantum perturbed spherically symmetric curved space times. Thus we take Einstein-massless-scalar $\psi$ tensor gravity model described ... More

Non-simple purely infinite Steinberg Algebras with applications to Kumjian-Pask algebrasJan 21 2019In this paper, we characterize properly purely infinite Steinberg algebras $A_K(\mathcal{G})$ for strongly effective, ample Hausdorff groupoids $\mathcal{G}$. As an application, when $\Lambda$ is a strongly aperiodic $k$-graph, we show that the notions ... More

On the b-chromatic number of Kneser GraphsApr 25 2009May 26 2009In this note, we prove that for any integer $n\geq 3$ the b-chromatic number of the Kneser graph $KG(m,n)$ is greater than or equal to $2{\lfloor {m\over 2} \rfloor \choose n}$. This gives an affirmative answer to a conjecture of [6].

Invariances of the operator properties of frame multipliers under perturbations of frames and symbolAug 21 2016Let $\Phi$ and $\Psi$ be frames for $\cal H$ and let $M_{m,\Phi,\Psi}$ be a frame multiplier with the symbol $m$. In this paper, we restrict our investigation to show that the operator properties of $M_{m,\Phi,\Psi}$ are stable under the perturbations ... More

First Non-abelian Cohomology of Topological Groups IIJul 18 2014Dec 22 2014In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction ... More

Standard Projective Simplicial Kernels and the Second Abelian Cohomology of Topological GroupsFeb 08 2015Let $A$ be an abelian topological $G$-module. We give an interpretion for the second cohomology, $H^{2}(G,A)$, of $G$ with coefficients in $A$. As a result we show that if $P$ is a projective topological group, then $H^{2}(P,A)=0$ for every abelian topological ... More

Localization of gravity in brane world with arbitrary extra dimensionsMar 16 2012Sep 16 2012We study the induced 4-dimensional linearized Einstein field equations in an m-dimensional bulk space by means of a confining potential. It is shown that in this approach the mass of graviton is quantized. The cosmological constant problem is also addressed ... More

Shiba chains of scalar impurities on unconventional superconductorsDec 30 2015We show that a chain of nonmagnetic impurities deposited on a fully gapped two- or three-dimensional superconductor can become a topological one-dimensional superconductor with protected Majorana bound states at its end. A prerequisite is that the pairing ... More

Beam Selection and Discrete Power Allocation in Opportunistic Cognitive Radio Systems with Limited Feedback Using ESPAR AntennasMar 25 2019We consider an opportunistic cognitive radio (CR) system consisting of a primary user (PU), secondary transmitter (SUtx), and secondary receiver (SUrx), where SUtx is equipped with an electrically steerable parasitic array radiator (ESPAR) antenna with ... More

Mapping the wavefunction of transition metal acceptor states in the GaAs surfaceJul 27 2009We utilize a single atom substitution technique with spectroscopic imaging in a scanning tunneling microscope (STM) to visualize the anisotropic spatial structure of magnetic and non-magnetic transition metal acceptor states in the GaAs (110) surface. ... More

On Inversely Proportional Hypermutations with Mutation PotentialMar 27 2019Artificial Immune Systems (AIS) employing hypermutations with linear static mutation potential have recently been shown to be very effective at escaping local optima of combinatorial optimisation problems at the expense of being slower during the exploitation ... More

SUT System Description for NIST SRE 2016Jun 08 2017This paper describes the submission to fixed condition of NIST SRE 2016 by Sharif University of Technology (SUT) team. We provide a full description of the systems that were included in our submission. We start with an overview of the datasets that were ... More

Artificial Immune Systems Can Find Arbitrarily Good Approximations for the NP-Hard Partition ProblemJun 01 2018Typical Artificial Immune System (AIS) operators such as hypermutations with mutation potential and ageing allow to efficiently overcome local optima from which Evolutionary Algorithms (EAs) struggle to escape. Such behaviour has been shown for artificial ... More

Fast Artificial Immune SystemsJun 01 2018Various studies have shown that characteristic Artificial Immune System (AIS) operators such as hypermutations and ageing can be very efficient at escaping local optima of multimodal optimisation problems. However, this efficiency comes at the expense ... More

Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficientsMay 22 2017Aug 15 2017We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra $\mathcal{H}_n$. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of $\mathcal{H}_n$, and we show that the ... More

Insights into Complex Brain Functions Related to Schizophrenia Disorder through Causal Network AnalysisJul 31 2018Gene expression represents a fundamental interface between genes and environment in the development and ongoing plasticity of the human organism. Individual differences in gene expression are likely to underpin much of human diversity, including psychiatric ... More

On Dynamics of Brans--Dicke Theory of GravitationAug 05 2010Jun 08 2011We study longstanding problem of cosmological clock in the context of Brans-Dicke theory of gravitation. We present the Hamiltonian formulation of the theory for a class of spatially homogenous cosmological models. Then, we show that formulation of the ... More

A Multi-Trait Approach Identified Genetic Variants Including a Rare Mutation in RGS3 with Impact on Abnormalities of Cardiac Structure/FunctionNov 19 2018Heart failure is a major cause for premature death. Given heterogeneity of the heart failure syndrome, identifying genetic determinants of cardiac function and structure may provide greater insights into heart failure. Despite progress in understanding ... More

Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy productionDec 02 2015Jun 10 2016Results are presented for an open Floquet topological system represented by Dirac fermions coupled to a circularly polarized laser and an external reservoir. It is shown that when the separation between quasi-energy bands becomes small, and comparable ... More

Gauss-Manin Connection in Disguise: Dwork FamilyMar 30 2016We study the enhanced moduli space $\textsf{T}$ of the Calabi-Yau $n$-folds arising from Dwork family and describe a unique vector field $\textsf{R}$ in $\textsf{T}$ with certain properties with respect to the underlying Gauss-Manin connection. For $n=1,2$ ... More

Thermodynamic properties of asymptotically Reissner-Nordstrom black holesMay 24 2014Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear electrodynamics ... More

The infinitesimal 16th Hilbert problem in dimension zeroJul 04 2005We study the analogue of the infinitesimal 16th Hilbert problem in dimension zero. Lower and upper bounds for the number of the zeros of the corresponding Abelian integrals (which are algebraic functions) are found. We study the relation between the vanishing ... More

A quantum phase transition from $Z_2 \times Z_2$ to $Z_2$ topological orderJan 25 2016Apr 04 2016Although the topological order is known as a quantum order in quantum many-body systems, it seems that there is not a one-to-one correspondence between topological phases and quantum phases. As a well-known example, it has been shown that all one-dimensional ... More

On the robustness of topological quantum codes: Ising perturbationJan 29 2015We study the phase transition from two different topological phases to the ferromagnetic phase by focusing on points of the phase transition. To this end, we present a detailed mapping from such models to the Ising model in a transverse field. Such a ... More

Security Games with Ambiguous Beliefs of AgentsAug 09 2015Currently the Dempster-Shafer based algorithm and Uniform Random Probability based algorithm are the preferred method of resolving security games, in which defenders are able to identify attackers and only strategy remained ambiguous. However this model ... More

The Long Neglected Critically Leveraged PortfolioJul 12 2012We show that the efficient frontier for a portfolio in which short positions precisely offset the long ones is composed of a pair of straight lines through the origin of the risk-return plane. This unique but important case has been overlooked because ... More

Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum DynamicsJul 16 2001A Hamilton-Jacobi formulation of the Lyapunov spectrum and KS entropy is developed. It is numerically efficient and reveals a close relation between the KS invariant and the classical action. This formulation is extended to the quantum domain using the ... More

Dirac observables and the phase space of general relativityDec 20 2001Dec 21 2001In the canonical approach to general relativity it is customary to parametrize the phase space by initial data on spacelike hypersurfaces. However, if one seeks a theory dealing with observations that can be made by a single localized observer, it is ... More

Stochastic quantisation of locally supersymmetric modelsJun 07 2004Jan 29 2008Stochastic quantisation normally involves the introduction of a fictitious extra time parameter, which is taken to infinity so that the system evolves to an equilibrium state.In the case of a locally supersymmetric theory, an interesting new possibility ... More

Circular Coloring and Mycielski ConstructionApr 08 2009In this paper, we investigate circular chromatic number of Mycielski construction of graphs. It was shown in \cite{MR2279672} that $t^{{\rm th}}$ Mycielskian of the Kneser graph $KG(m,n)$ has the same circular chromatic number and chromatic number provided ... More

Chaplygin Gas Hořava-Lifshitz Quantum CosmologyJan 22 2016In this paper, we study the Chaplygin gas Ho\v{r}ava-Lifshitz quantum cosmology. Using Schutz formalism and Arnowitt-Deser-Misner decomposition, we obtain the corresponding Schr\"{o}dinger-Wheeler-DeWitt equation. We obtain exact classical and quantum ... More

Convolution of Picard-Fuchs equationsApr 05 2016We determine explicit generators for a cohomology group constructed from a solution of a fuchsian linear differential equation and describe its relation with cohomology groups with coefficients in a local system. In the parameterized case, this yields ... More

Metric projection and convergence theorems for nonexpansive mappings in Hadamard spacesOct 05 2014For a nonempty convex subset $C$ of a Hadamard space $X$, it is proved that $u=P_Cx$ if and only if $\langle\overrightarrow{xu},\overrightarrow{uy}\rangle \geqslant0$ for all $y\in C$. As an application of this characterization, we prove strong convergence ... More

G--Gorenstein modulesJun 24 2011Let $R$ be a commutative Noetherian ring. In this paper, we study those finitely generated $R$-modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a module a G-Gorenstein module. Characterizations of G-Gorenstein modules ... More

Fitzpatrick function for generalized monotone operatorsJan 14 2018We define the Fitzpatrick function of a $\sigma$-monotone operator in a way similar to the original definition given by Fitzpatrick. We show that some well-known properties of Fitzpatrick function remain valid for the larger class of premonotone operators. ... More

Ex-post Stable and Fair Payoff Allocation for Renewable Energy AggregationDec 30 2016Jan 11 2017Aggregating statistically diverse renewable power producers (RPPs) is an effective way to reduce the uncertainty of the RPPs. The key question in aggregation of RPPs is how to allocate payoffs among the RPPs. In this paper, a payoff allocation mechanism ... More

Predictions for the isolated prompt photon production at the LHC at $ \sqrt s= $13 TeVMar 05 2017Mar 13 2017The prompt photon production in hadronic collisions has a long history of providing information on the substructure of hadrons and testing the perturbative techniques of QCD. Some valuable information about the parton densities in the nucleon and nuclei, ... More

A Novel Method For Speech Segmentation Based On Speakers' CharacteristicsMay 08 2012Speech Segmentation is the process change point detection for partitioning an input audio stream into regions each of which corresponds to only one audio source or one speaker. One application of this system is in Speaker Diarization systems. There are ... More

A Characterization of Metric Projection in CAT(0) SpacesNov 17 2013In this paper, we present a characterization of metric projection in CAT(0) spaces by using the concept of quasilinearization. Furthermore, some basic properties of matric projection are investigated.

Morse complexes and multiplicative structuresOct 22 2018In this article we lay out the details of Fukaya's A $\infty$-structure of the Morse com-plexe of a manifold possibily with boundary. We show that this A $\infty$-structure is homotopically independent of the made choices. We emphasize the transversality ... More

Neighborhoods of Analytic Varieties in Complex ManifoldsAug 07 2002The systematic study of neighborhoods of analytic varieties was started by H. Grauert in his celebrated article 1962. In that article he considers a manifold X and a negatively embedded submanifold A subset X. He introduces n-neighborhood, n in N, of ... More

Heun equations coming from geometryFeb 04 2009Apr 17 2012We give a list of Heun equations which are Picard-Fuchs associated to families of algebraic varieties. Our list is based on the classification of families of elliptic curves with four singular fibers done by Herfurtner. We also show that pullbacks of ... More

Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfacesJul 21 2005Aug 30 2006In this article we find connections between the values of Gauss hypergeometric functions and the dimension of the vector space of Hodge cycles of four dimensional cubic hypersurfaces. Since the Hodge conjecture is well-known for those varieties we calculate ... More

On Chromatic Number and Minimum CutJul 30 2014Nov 30 2015For a graph $G$, the tree graph ${\cal T}_{G,t}$ has all tree subgraphs of $G$ with $t$ vertices as vertex set and two tree subgraphs are neighbors if they are edge-disjoint. Also, the $r^{th}$ cut number of $G$ is the minimum number of edges between ... More

On 2-HolonomyFeb 10 2012We construct a cycle in higher Hochschild homology associated to the 2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the same way the ordinary holonomy of a principal G-bundle gives rise to a cycle in ordinary Hochschild homology. ... More

On 1/2 BPS Solutions in M-theoryDec 17 2005Jan 19 2006We study singular 1/2 BPS solutions in M-theory using 11-dimensional superstar solutions. The superstar solutions and their corresponding plane wave limits could give an insight how one may deform the boundary conditions to get singular, but still physically ... More

Network Coding Applications for 5G Millimeter-Wave CommunicationsDec 09 2015The millimeter-wave bands have been attracting significant interest as a means to achieve major improvements in data rates and network efficiencies. One significant limitation for use of the millimeter-wave bands for cellular communication is that the ... More

Charge Transfer in Ultracold Rydberg-Ground State Atomic CollisionsDec 08 2015In excited molecules, the interaction between the covalent Rydberg and ion-pair channels forms a unique class of excited Rydberg states, in which the infinite manifold of vibrational levels are the equivalent of atomic Rydberg states with a heavy electron ... More

Optimization and numerical simulation for the accelerator of the commercial H- cyclotron ion sourceJun 05 2013A new ion source will be prepared for the CYCLONE30 commercial cyclotron with a much advanced performance compared with the previous one. The newly designed ion source has a very large transparency without deteriorating the beam optics, which is designed ... More

A Note on Altermatic NumberOct 23 2015In view of Tucker's lemma (an equivalent combinatorial version of the Borsuk- Ulam theorem), the present authors (2013) introduced the kth altermatic number of a graph G as a tight lower bound for the chromatic number of G. In this note, we present a ... More

On Coloring Properties of Graph PowersApr 22 2011This paper studies some coloring properties of graph powers. We show that $\chi_c(G^{^{\frac{2r+1}{2s+1}}})=\frac{(2s+1)\chi_c(G)}{(s-r)\chi_c(G)+2r+1}$ provided that $\chi_c(G^{^{\frac{2r+1}{2s+1}}})< 4$. As a consequence, one can see that if ${2r+1 ... More

Graph Powers and Graph HomomorphismsAug 04 2008Sep 02 2008In this paper we investigate some basic properties of fractional powers. In this regard, we show that for any rational number $1\leq {2r+1\over 2s+1}< og(G)$, $G^{{2r+1\over 2s+1}}\longrightarrow H$ if and only if $G\longrightarrow H^{-{2s+1\over 2r+1}}.$ ... More