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Colloidal Tin Sulfide Nanosheets: Formation Mechanism, Ligand-mediated Shape Tuning and Photo-detectionAug 13 2018Colloidal materials of tin(II) sulfide (SnS), as a layered semiconductor with a narrow band gap, are emerging as a potential alternative to the more toxic metal chalcogenides (PbS, PbSe, CdS, CdSe) for various applications such as electronic and optoelectronic ... More

Halogens in the synthesis of colloidal semiconductor nanocrystalsApr 09 2018In this review, we highlight the role of halogenated compounds in the colloidal synthesis of nanostructured semiconductors. Halogen-containing metallic salts used as precursors and halogenated hydrocarbons used as ligands allow stabilizing different shapes ... More

In-plane anisotropic faceting of ultralarge and thin single-crystalline colloidal SnS nanosheetsMar 14 2019The colloidal synthesis of large thin two-dimensional (2D) nanosheets is fascinating but challenging, since the growth along the lateral and vertical dimensions need to be controlled independently. In-plane anisotropy in 2D nanosheets is attracting more ... More

High Performance n- and p-Type Field-Effect Transistors Based on Hybridly Surface-Passivated Colloidal PbS NanosheetsApr 09 2018Colloidally synthesized nanomaterials are among the promising candidates for future electronic devices due to their simplicity and the inexpensiveness of their production. Specifically, colloidal nanosheets are of great interest since they are conveniently ... More

Voltage Profile Improvement of Distribution Grid by Using a New Control Approach on Injected Reactive Power of Plug-in Electric Vehicle Parking Lots to GridJan 29 2019Establishing electrical parking lots will become more important by increasing the use of electric vehicles (EVs). These parking lots not only can be seen as high electrical power consumption loads which can cause the voltage drop at feeders but also they ... More

Solutions of the system of operator equations $BXA=B=AXB$ via $*$-orderMay 19 2017In this paper, we establish some necessary and sufficient conditions for the existence of solutions to the system of operator equations $ BXA=B=AXB $ in the setting of bounded linear operators on a Hilbert space, where the unknown operator $X$ is called ... More

Modeling State-Conditional Observation Distribution using Weighted Stereo Samples for Factorial Speech Processing ModelsMar 09 2015This paper investigates the role of factorial speech processing models in noise-robust automatic speech recognition tasks. Factorial models can embed non-stationary noise models using Markov chains as one of its source chain. The paper proposes a modeling ... More

A New Approach for Steady-State Analysis of a Hybrid ac-dc MicrogridJan 17 2019The dc grid became more popular, by emerging the distributed generations (DGs). Despite this popularity, the dc grid is not yet widely used because the majority of loads in a power system are ac, which means the ac grid is still the dominant grid in the ... More

On Mechanical Behavior of Elastomeric Networks: Effects of Random Porous MicrostructureAug 05 2018An assumption in micromechanical analysis of polymers is that the constitutive polymeric media is non-porous. Non-porosity of media, however, is merely a simplifying assumption. In this paper, we neglect this assumption and studied polymer networks with ... More

Towards colloidal spintronics through Rashba spin-orbit interaction in lead sulphide nanosheetsJun 16 2017Employing the spin degree of freedom of charge carriers offers the possibility to extend the functionality of conventional electronic devices, while colloidal chemistry can be used to synthesize inexpensive and tuneable nanomaterials. In order to benefit ... More

From dots to stripes to sheets - Shape control of lead sulfide nanostructuresMar 08 2016Controlling anisotropy in nanostructures is a challenging but rewarding task since confinement in one or more dimensions influences the physical and chemical properties of the items decisively. In particular, semiconducting nanostructures can be tailored ... More

Roadside acoustic sensors to support vulnerable pedestrians via their smartphoneNov 26 2018We propose a new warning system based on smartphones that evaluates the risk of motor vehicle for vulnerable pedestrian (VP). The acoustic sensors are embedded in roadside to receive vehicles sounds and they are classified into heavy vehicle, light vehicle ... More

Can Holographic dark energy models fit the observational data?Sep 24 2018Oct 02 2018In this work we investigate the holographic dark energy models with slowly time-varying model parameter defined based on the current Hubble horizon length scale. While the previous studies on the three popular holographic dark energy models defined based ... More

DeepLink: A Novel Link Prediction Framework based on Deep LearningJul 27 2018Recently, link prediction has attracted more attentions from various disciplines such as computer science, bioinformatics and economics. In this problem, unknown links between nodes are discovered based on numerous information such as network topology, ... More

A New Full Adder Cell for Molecular ElectronicsJan 10 2012Due to high power consumption and difficulties with minimizing the CMOS transistor size, molecular electronics has been introduced as an emerging technology. Further, there have been noticeable advances in fabrication of molecular wires and switches and ... More

Community Aware Random Walk for Network EmbeddingOct 14 2017Feb 19 2018Social network analysis provides meaningful information about behavior of network members that can be used for diverse applications such as classification, link prediction. However, network analysis is computationally expensive because of feature learning ... More

Top-k Overlapping Densest Subgraphs: Approximation and ComplexitySep 07 2018Jan 30 2019A central problem in graph mining is finding dense subgraphs, with several applications in different fields, a notable example being identifying communities. While a lot of effort has been put on the problem of finding a single dense subgraph, only recently ... More

Machine Learning for Predictive On-Demand Deployment of UAVs for Wireless CommunicationsApr 30 2018In this paper, a novel machine learning (ML) framework is proposed for enabling a predictive, efficient deployment of unmanned aerial vehicles (UAVs), acting as aerial base stations (BSs), to provide on-demand wireless service to cellular users. In order ... More

Generalized Lagrangian Jacobi-Gauss-Radau collocation method for solving a nonlinear 2-D optimal control problem with the classical diffusion equationFeb 13 2018In this paper, a nonlinear 2D Optimal Control Problem (2DOCP) is considered. The quadratic performance index of a nonlinear cost function is endowed with the state and control functions. In this problem, the dynamic constraint of the system is given by ... More

Relative Cayley graphs of finite groupsOct 13 2015The relative Cayley graph of a group $G$ with respect to its proper subgroup $H$, is a graph whose vertices are elements of $G$ and two vertices $h\in H$ and $g\in G$ are adjacent if $g=hc$ for some $c\in C$, where $C$ is an inversed-closed subset of ... More

Blood Glucose Measurement Based on Infra-Red SpectroscopyApr 08 2018An algorithm based on PLS regression has been developed and optimized for measuring blood glucose level using the infra-red transmission spectrum of blood samples. A set of blood samples were tagged with their glucose concentration using an accurate invasive ... More

Social Community-Aware Content Placement in Wireless Device-to-Device Communication NetworksAug 08 2018In this paper, a novel framework for optimizing the caching of popular user content at the level of wireless user equipments (UEs) is proposed. The goal is to improve content offloading over wireless device-to-device (D2D) communication links. In the ... More

Impact of Vehicle-to-Vehicle Communication Reliability on Safety Applications: An Experimental StudyApr 29 2018Vehicle-to-Vehicle (V2V) communication using Dedicated Short Range Communications (DSRC) technology provides promising benefits for drastically reducing vehicle collisions. A decentralized approach combined with DSRC allow vehicles in a highly mobile ... More

Unscrambling Structured Chirality with Structured Light at Nanoscale Using Photo-induced ForceMay 16 2018Jun 05 2018We introduce a microscopy technique that facilitates the prediction of spatial features of chirality of nanoscale samples by exploiting photo-induced optical force exerted on an achiral tip in the vicinity of the test specimen. The tip-sample interactive ... More

On a Deterministic Property of the Category of $k$-almost Primes: A Deterministic Structure Based on a Linear Function for Redefining the $k$-almost Primes ($\exists n\in {\rm N} $, $1{\le} k {\le}n$) in Certain IntervalsAug 06 2014Dec 28 2014In this paper based on a sort of linear function, a deterministic and simple algorithm with an algebraic structure is presented for calculating all (and only) $k$-almost primes ($where$ $\exists n\in {\rm N} $, $1{\le} k {\le}n$) in certain interval. ... More

The XDEM Multi-physics and Multi-scale Simulation Technology: Review on DEM-CFD Coupling, Methodology and Engineering ApplicationsAug 24 2018The XDEM multi-physics and multi-scale simulation platform roots in the Ex- tended Discrete Element Method (XDEM) and is being developed at the In- stitute of Computational Engineering at the University of Luxembourg. The platform is an advanced multi- ... More

Beyond 5G with UAVs: Foundations of a 3D Wireless Cellular NetworkMay 16 2018Nov 02 2018In this paper, a novel concept of three-dimensional (3D) cellular networks, that integrate drone base stations (drone-BS) and cellular-connected drone users (drone-UEs), is introduced. For this new 3D cellular architecture, a novel framework for network ... More

Wireless Communications and Control for Swarms of Cellular-Connected UAVsDec 03 2018By using wireless connectivity through cellular base stations (BSs), swarms of unmanned aerial vehicles (UAVs) can provide a plethora of services ranging from delivery of goods to surveillance. In particular, UAVs in a swarm can utilize wireless communications ... More

A Tutorial on UAVs for Wireless Networks: Applications, Challenges, and Open ProblemsMar 02 2018Mar 17 2019The use of flying platforms such as unmanned aerial vehicles (UAVs), popularly known as drones, is rapidly growing. In particular, with their inherent attributes such as mobility, flexibility, and adaptive altitude, UAVs admit several key potential applications ... More

Cohomology rings of symplectic quotients by circle actionsDec 31 2001Oct 10 2003In this article we are concerned with how to compute the cohomology ring of a symplectic quotient by a circle action using the information we have about the cohomology of the original manifold and some data at the fixed point set of the action. Our method ... More

Some general new Einstein Walker manifoldsJun 17 2012In this paper, Lie symmetry group method is applied to find the lie point symmetries group of a PDE system that is determined general form of four-dimensional Einstein Walker manifold. Also we will construct the optimal system of one-dimensional Lie subalgebras ... More

Collective Dynamics of Dividing Chemotactic CellsJun 24 2014Jan 16 2015The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range chemotactic interaction ... More

Dissipation in Dynamics of a Moving Contact LineMar 29 2001The dynamics of the deformations of a moving contact line is studied assuming two different dissipation mechanisms. It is shown that the characteristic relaxation time for a deformation of wavelength $2\pi/|k|$ of a contact line moving with velocity $v$ ... More

Central and Satellite Colors in Galaxy Groups: A Comparison of the Halo Model and SDSS Group CatalogsMay 08 2008Oct 17 2008Current analytic and semi-analytic dark matter halo models distinguish between the central galaxy in a halo and the satellite galaxies in halo substructures. Using a recent halo-model description of the color dependence of galaxy clustering (Skibba & ... More

Stochastic Low Reynolds Number SwimmersJan 12 2009As technological advances allow us to fabricate smaller autonomous self-propelled devices, it is clear that at some point directed propulsion could not come from pre-specified deterministic periodic deformation of the swimmer's body and we need to develop ... More

On Complexity of Isoperimetric Problems on TreesSep 03 2010This paper is aimed to investigate some computational aspects of different isoperimetric problems on weighted trees. In this regard, we consider different connectivity parameters called {\it minimum normalized cuts}/{\it isoperimteric numbers} defined ... More

A Combinatorial Problem Solved by a Meta-Fibonacci Recurrence RelationFeb 08 2019We present a natural, combinatorial problem whose solution is given by the meta-Fibonacci recurrence relation $a(n) = \sum_{i=1}^p a(n-i+1 - a(n-i))$, where $p$ is prime. This combinatorial problem is less general than those given in [3] (B. Jackson, ... More

Counting and Computing by $e$Jun 26 2006In this paper we count the number of paths and cycles in complete graphs by using the number $e$. Also, we compute the number of derangements in same way. Connection by $e$ yields some nice formulas for the number of derangements, such as $D_n=\lfloor\frac{n!+1}{e}\rfloor$ ... More

A Novel Effective, Secure and Robust CDMA Digital Image Watermarking in YUV Color Space Using DWT2Jun 19 2012This paper is allocated to CDMA digital images watermarking for ownership verification and image authentication applications, which for more security, watermark W is converted to a sequence and then a random binary sequence R of size n is adopted to encrypt ... More

Integral representation of linear functionals on function spacesMar 27 2014Let $A$ be a vector space of real valued functions on a non-empty set $X$ and $L:A\rightarrow\mathbb{R}$ a linear functional. Given a $\sigma$-algebra $\mathcal{A}$, of subsets of $X$, we present a necessary condition for $L$ to be representable as an ... More

Stability under deformations of Hermite-Einstein almost-Kähler metricsApr 24 2012Sep 30 2013On a 4-dimensional compact symplectic manifold, we consider a smooth family of compatible almost-complex structures such that at time zero the induced metric is Hermite-Einstein almost-K\"ahler metric with zero or negative Hermitian scalar curvature. ... More

On the topologies induced by a coneMar 27 2014Let $A$ be a commutative and unital $\mathbb{R}$-algebra, and $M$ be an Archimedean quadratic module of $A$. We define a submultiplicative seminorm $\|\cdot\|_M$ on $A$, associated with $M$. We show that the closure of $M$ with respect to $\|\cdot\|_M$-topology ... More

Tautological classes on the moduli space of hyperelliptic curves with rational tailsJun 28 2014Jul 14 2014We study tautological classes on the moduli space of stable $n$-pointed hyperelliptic curves of genus $g$ with rational tails. Our result gives a complete description of tautological relations. The method is based on the approach of Yin in comparing tautological ... More

Lower bound for the Perron-Frobenius degrees of Perron numbersNov 18 2017Jan 26 2019Using an idea of Doug Lind, we give a lower bound for the Perron-Frobenius degree of a Perron number that is not totally-real. As an application, we prove that there are cubic Perron numbers whose Perron-Frobenius degrees are arbitrary large; a result ... More

On the injective dimension of F-finite modules and holonomic D-modulesMar 21 2016Nov 08 2017Let $R$ be a regular local ring containing a field $k$ of characteristic $p$ and $M$ be an $\mathscr{F}$-finite module. In this paper, we study the injective dimension of $M$. We prove that $\operatorname{dim}_R(M) -1 \leq\operatorname{inj.dim}_R(M)$. ... More

The moduli space of curves and its invariantsOct 30 2016This note is about invariants of moduli spaces of curves. It includes their intersection theory and cohomology. Our main focus in on the distinguished piece containing the so called tautological classes. These are the most natural classes on the moduli ... More

A Comparison between Digital Image Watermarking in Tow Different Color Spaces Using DWT2Jun 20 2012A novel digital watermarking for ownership verification and image authentication applications using discrete wavelet transform (DWT) is proposed in this paper. Most previous proposed watermarking algorithms embed sequences of random numbers as watermarks. ... More

Web geometry of a system of n first order autonomous ordinary differential equationsJul 02 2010Let $dx_i/dt=f_i(x_1,\cdots,x_n)$, ($i=1,\cdots,n$) be a system of $n$ first order autonomous ordinary differential equations. We use E. Cartan's equivalence method to study the invariants of this system under diffeomorphisms of the form $\Phi(t,x_1,\cdots,x_n)=(\varphi_0(t),\varphi_1(x_1),\cdots,\varphi_1(x_1))$. ... More

A conjectural connection between R^*(C_g^n) and R^*(M_{g,n}^rt)Dec 16 2014May 04 2017Let M_{g,n}^rt be the moduli space of stable n-pointed curves of genus g>1 with rational tails. We also consider the space C_g^n classifying smooth curves of genus g with not necessarily distinct n ordered points. There is a natural proper map from M_{g,n}^rt ... More

The Generalized Classical Time-SpaceNov 18 2007The newest model for space-time is based on sub-Riemannian geometry. In this paper, we use a combination of Lorentzian and sub-Riemannian geometry, the suggest a new model which likes to its ancestors, but with the most efficient in application. In continuation, ... More

Integral points of bounded height on compactifications of semi-simple groupsFeb 10 2011We study the asymptotic distribution of integral points of bounded height on partial bi-equivariant compactifications of semi-simple groups of adjoint type.

Algebraic Characterization of CNOT-Based Quantum Circuits with its Applications on Logic SynthesisDec 18 2007Apr 09 2010The exponential speed up of quantum algorithms and the fundamental limits of current CMOS process for future design technology have directed attentions toward quantum circuits. In this paper, the matrix specification of a broad category of quantum circuits, ... More

On L-Injective ModulesJan 11 2015Sep 11 2017Jir\'asko introduced the concepts of L-injective module as a generalization of injective module. The aim of this paper is to study L-injective modules and some related concepts.

An application of Bertini TheoremSep 13 2018Given an irreducible variety $X$ over a finite field, the density of hypersurfaces of degree $d$ of intersecting $X$ in an irreducible subvariety tends to $1$, when $d$ goes to infinity, by a result of Charles and Poonen. In this note, we analyse the ... More

A criterion to specify the absence of Baire propertyMar 06 2014Let $X$ be a topological space. Let $X_0 \subseteq X$ be a second countable subspace. Also, assume that $X$ is first countable at any point of $X_0$. Then we provide some conditions under which we ensure that $X_0$ is not Baire.

Lower bounds for polynomials using geometric programmingJun 08 2011We make use of a result of Hurwitz and Reznick, and a consequence of this result due to Fidalgo and Kovacec, to determine a new sufficient condition for a polynomial $f\in\mathbb{R}[X_1,...,X_n]$ of even degree to be a sum of squares. This result generalizes ... More

Lower Bounds for a Polynomial on a basic closed semialgebraic set using geometric programmingNov 15 2013Mar 23 2015$f,g_1,...,g_m$ be elements of the polynomial ring $\mathbb{R}[x_1,...,x_n]$. The paper deals with the general problem of computing a lower bound for $f$ on the subset of $\mathbb{R}^n$ defined by the inequalities $g_i\ge 0$, $i=1,...,m$. The paper shows ... More

Cohen-Macaulayness of non-affine normal semigroupsFeb 24 2013In this paper, we study the Cohen-Macaulayness of non-affine normal semigroups in $\mathbb{Z}^n$. We do this by establishing the following four statements each of independent interest: 1) a Lazard type result on $I$-supported elements of $\prod_{\mathbb{N}}\mathbb{Q}_{\geq0}$ ... More

Learning Mobile App Usage Routine through Learning AutomataAug 11 2016Aug 13 2016Since its conception, smart app market has grown exponentially. Success in the app market depends on many factors among which the quality of the app is a significant contributor, such as energy use. Nevertheless, smartphones, as a subset of mobile computing ... More

Many, many more intrinsically knotted graphsSep 08 2011May 22 2012We list more than 200 new examples of minor minimal intrinsically knotted graphs and describe many more that are intrinsically knotted and likely minor minimal.

Deleting an edge of a 3-cycle in an intrinsically knotted graph gives an intrinsically linked graphJul 01 2014We show that deleting an edge of a 3-cycle in an intrinsically knotted graph gives an intrinsically linked graph.

Translocation through environments with time dependent mobilityDec 05 2012We consider single particle and polymer translocation where the frictional properties experienced from the environment are changing in time. This work is motivated by the interesting frequency responsive behaviour observed when a polymer is passing through ... More

Quaternionic Bott-Chern cohomology and existence of HKT metricsMay 23 2016We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a criterion for the existence of HKT metrics on compact hypercomplex manifolds ... More

Using Orthogonal Channels for Supporting Multicast Service in Multi-channel Wireless Mesh NetworksOct 10 2012Unlike wired networks, the capacity of a wireless network is interference limited due to the broadcast nature of wireless medium. Some multicast wireless network protocols do not consider channel assignment issue, that they cause interference at transmission ... More

Chiral Structure of F-actin Bundle Formed by Multivalent Counterions?Feb 29 2012The mechanism of multivalent counterion-induced bundle formation by filamentous actin (F-actin) is studied using a coarse-grained model and molecular dynamics simulation. Real diameter size, helically ordered charge distribution and twist rigidity of ... More

Finding Minimal Permutation Representations of Finite GroupsMay 28 2007Jul 24 2013A minimal permutation representation of a finite group G is a faithful G-set with the smallest possible size. We study the structure of such representations and show that for certain groups they may be obtained by a greedy construction. In these situations ... More

Stochastic sensing of polynucleotides using patterned nanoporesJan 21 2012The effect of the microscopic structure of a pore on polymer translocation is studied using Langevin dynamics simulation, and the consequence of introducing patterned stickiness inside the pore is investigated. It is found that the translocation process ... More

Convolutions on the Haagerup tensor products of Fourier algebrasJun 19 2014We study the ranges of the maps of convolution $u\otimes v\mapsto u\ast v$ and a `twisted' convolution $u\otimes v\mapsto u\ast \check{v}$ ($\check{u}(s)=u(s^{-1})$) and on the Haagerup tensor product of a Fourier algebra of a compact group $A(G)$ with ... More

Closed almost-Kähler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are KählerSep 15 2017We show that a closed almost K\"ahler 4-manifold of globally constant holomorphic sectional curvature $k\geq 0$ with respect to the canonical Hermitian connection is automatically K\"ahler. The same result holds for $k<0$ if we require in addition that ... More

Einstein--Maxwell equations on 4-dimensional Lie algebraJul 10 2018We classify up to automorphisms all left-invariant non-Einstein solutions to the Einstein--Maxwell equations on 4-dimensional Lie algebras.

Seminormed $\ast$-subalgebras of $\ell^{\infty}(X)$Oct 03 2015Dec 12 2015Arbitrary representations of a commutative unital ($\ast$-) $\mathbb{F}$-algebra $A$ as a subalgeba of $\mathbb{F}^X$ are considered, where $\mathbb{F}=\mathbb{C}$ or $\mathbb{R}$ and $X\neq\emptyset$. The Gelfand spectrum of $A$ is explained as a topological ... More

Equivalent Conditions for Digital Covering MapsMay 08 2018Jan 07 2019In this paper we show that a digital $(\kappa,\lambda)-$continuous surjection $p:(E,\kappa)\rightarrow (B,\lambda)$ is a digital covering map if and only if it has unique path lifting property if and only if it is a local isomorphism. Moreover, we find ... More

Rainbow metric from quantum gravity: anisotropic cosmologyJun 29 2016In this paper we present a construction of effective cosmological models which describe the propagation of a massive quantum scalar field on a quantum anisotropic cosmological spacetime. Each obtained effective model is represented by a rainbow metric ... More

Large deviation asymptotics for continued fraction expansionsFeb 13 2007We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation ... More

Inertia tensor and cross product In n-dimensions spaceApr 21 2006We demonstrated using an elementary method that the inertia tensor of a material point and the cross product of two vectors were only possible in a three or seven dimensional space. The representation matrix of the cross product in the seven dimensional ... More

Minimum distance of linear codes and the $α$-invariantJul 12 2015The simple interpretation of the minimum distance of a linear code obtained by De Boer and Pellikaan, and later refined by the second author, is further developed through the study of various finitely generated graded modules. We use the methods of commutative/homological ... More

Constructing Permutation Rational Functions From IsogeniesJul 13 2017A permutation rational function $f\in \mathbb{F}_q(x)$ is a rational function that induces a bijection on $\mathbb{F}_q$, that is, for all $y\in\mathbb{F}_q$ there exists exactly one $x\in\mathbb{F}_q$ such that $f(x)=y$. Permutation rational functions ... More

On Conformal Paneitz Curvature Equations in Higher Dimensional SpheresDec 06 2004We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful ... More

Effective Digital Image Watermarking in YCbCr Color Space Accompanied by Presenting a Novel Technique Using DWTJun 20 2012In this paper, a quantization based watermark casting and blind watermark retrieval algorithm operating in YCbCr color space using discrete wavelet transform (DWT), for ownership verification and image authentication applications is implemented. This ... More

Closure of the cone of sums of 2d-powers in real topological algebrasOct 13 2011Jun 17 2012Let $R$ be a unitary commutative real algebra and $K\subseteq Hom(R,\mathbb{R})$, closed with respect to the product topology. We consider $R$ endowed with the topology $\mathcal{T}_K$, induced by the family of seminorms $\rho_{\alpha}(a):=|\alpha(a)|$, ... More

An Integrability Theorem for Almost-Kähler Structures using J-anti-invariant Two-Forms on Four-ManifoldsJul 01 2015Sep 03 2015We establish a new criterion for a compatible almost complex structure on a symplectic four-manifold to be integrable and hence K\"ahler. Our main theorem shows that the existence of three linearly independent closed J-anti-invariant two-forms implies ... More

G-set Theory and Applications in Lie TheoryJan 18 2012Jun 14 2017This paper is devoted to the development and applications of some (new) basic concepts in Lie theory, both from `computational" and "observability" viewpoint. We specify set of all "G-equivariant" maps from a given Lie group G to the underlying manifold ... More

Intrinsic linking and knotting are arbitrarily complex in directed graphsJan 04 2019Fleming and Foisy recently proved the existence of a digraph whose every embedding contains a $4$-component link, and left open the possibility that a directed graph with an intrinsic $n$-component link might exist. We show that, indeed, this is the case. ... More

Pairing, waltzing and scattering of chemotactic active colloidsJan 08 2019An interacting pair of chemotactic (anti-chemotactic) active colloids, that can rotate their axes of self-propulsion to align {parallel (anti-parallel)} to a chemical gradient, shows dynamical behaviour that varies from bound states to scattering. The ... More

Clusters, asters and collective oscillations in chemotactic colloidsSep 19 2013Jan 20 2014The creation of synthetic systems that emulate the defining properties of living matter, such as motility, gradient-sensing, signalling and replication, is a grand challenge of biomimetics. Such imitations of life crucially contain active components that ... More

Spatial Graphs with Local KnotsOct 04 2010Mar 09 2011It is shown that for any locally knotted edge of a 3-connected graph in $S^3$, there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological ... More

Clustering of Magnetic Swimmers in a Poiseuille FlowOct 23 2017May 09 2018We investigate the collective behavior of magnetic swimmers, which are suspended in a Poiseuille flow and placed under an external magnetic field, using analytical techniques and Brownian dynamics simulations. We find that the interplay between intrinsic ... More

Decompositions of complete uniform multi-hypergraphs into Berge paths and cycles of arbitrary lengthsSep 06 2016In 1981, Alspach conjectured that the complete graph $ K_{n} $ could be decomposed into cycles of arbitrary lengths, provided that the obvious necessary conditions would hold. This conjecture was proved completely by Bryant, Horsley and Pettersson in ... More

Active polymer translocation through flickering poresNov 28 2011Single file translocation of a homopolymer through an active channel under the presence of a driving force is studied using Langevin dynamics simulation. It is shown that a channel with sticky walls and oscillating width could lead to significantly more ... More

Effect of interactions on the cellular uptake of nanoparticlesJan 13 2011We present a simple two-state model to understand the size-dependent endocytosis of nanoparticles. Using this model, we elucidate the relevant energy terms required to understand the size-dependent uptake mechanism and verify it by correctly predicting ... More

An Accurate SER Estimation Method Based on Propagation ProbabilityOct 25 2007In this paper, we present an accurate but very fast soft error rate (SER) estimation technique for digital circuits based on error propagation probability (EPP) computation. Experiments results and comparison of the results with the random simulation ... More

Blowing up Solutions for a Biharmonic Equation with Critical NonlinearityAug 25 2004In this paper we consider the following biharmonic equation with critical exponent $P_\epsilon$ : $\Delta^2 u= Ku^{(n+4)/(n-4)-\epsilon}, u>0$ in $\Omega$ and $u=\Delta u=0$ on $\partial\Omega$, where $\Omega$ is a domain in $R^n$, $n\geq 5$, $\epsilon$ ... More

Lie Symmetries and Solutions of KdV EquationMar 04 2008Jul 05 2008Symmetries of a differential equations is one of the most important concepts in theory of differential equations and physics. One of the most prominent equations is KdV (Kortwege-de Vries) equation with application in shallow water theory. In this paper ... More

Elastic Correlations in Nucleosomal DNA StructureJan 09 2007The structure of DNA in the nucleosome core particle is studied using an elastic model that incorporates anisotropy in the bending energetics and twist-bend coupling. Using the experimentally determined structure of nucleosomal DNA [T.J. Richmond and ... More

Electrostatic Contribution to Twist Rigidity of DNAMay 11 2003The electrostatic contribution to twist rigidity of DNA is studied, and it is shown that the Coulomb self-energy of the double-helical sugar-phosphate backbone contributes considerably to twist rigidity of DNA--the electrostatic twist rigidity of DNA ... More

On the properties of invariants of formsAug 26 2009This paper is devoted to a discussion of specific properties of invariants in the theory of forms.

Symmetry Analysis for a New Form of the Vortex Mode EquationMay 04 2009Giving a new form of the vortex mode equation by a proper change of parameter, our aim is to analyze the point and contact symmetries of the new equation. Fundamental invariants and a form of general solutions of point transformations along with some ... More

Preliminarily group classification of a class of 2D nonlinear heat equationsAug 26 2009A preliminary group classification of the class 2D nonlinear heat equations $u_t=f(x,y,u,u_x,u_y)(u_{xx}+u_{yy})$, where $f$ is arbitrary smooth function of the variables $x,y,u,u_x$ and $u_y$ using Lie method, is given. The paper is one of the few applications ... More

Projective analysis and preliminary group classification of the nonlinear fin equation $u_t=(E(u)u_x)_x + h(x)u$Aug 26 2009In this paper we investigate for further symmetry properties of the nonlinear fin equations of the general form $u_t=(E(u)u_x)_x + h(x)u$ rather than recent works on these equations. At first, we study the projective (fiber-preserving) symmetry to show ... More

Symmetry analysis of cylindrical Helmholtz equationAug 25 2009In this paper, we present the point symmetry group of three-dimensional homogeneous Helmholtz equation, when we consider the cylindrical coordinate system. In continuation, we present a complete set of functionally independent invariants of the equation ... More