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Well-posedness of a fractional porous medium equation on an evolving surfaceSep 04 2015Jan 21 2016We investigate the existence, uniqueness, and $L^1$-contractivity of weak solutions to a porous medium equation with fractional diffusion on an evolving hypersurface. To settle the existence, we reformulate the equation as a local problem on a semi-infinite ... More

Stability of the Solution Set of Quasi-variational Inequalities and Optimal ControlApr 12 2019For a class of quasivariational inequalities (QVIs) of obstacle-type the stability of its solution set and associated optimal control problems are considered. These optimal control problems are non-standard in the sense that they involve an objective ... More

Directional differentiability for elliptic quasi-variational inequalities of obstacle typeFeb 10 2018The directional differentiability of the solution map of obstacle type quasi-variational inequalities (QVIs) with respect to perturbations on the forcing term is studied. The classical result of Mignot is then extended to the quasi-variational case under ... More

On some linear parabolic PDEs on moving hypersurfacesDec 04 2014Aug 02 2015We consider existence and uniqueness for several examples of linear parabolic equations formulated on moving hypersurfaces. Specifically, we study in turn a surface heat equation, an equation posed on a bulk domain, a novel coupled bulk-surface system ... More

A Stefan problem on an evolving surfaceDec 17 2014Jul 10 2015We formulate a Stefan problem on an evolving hypersurface and study the well-posedness of weak solutions given $L^1$ data. To do this, we first develop function spaces and results to handle equations on evolving surfaces in order to give a natural treatment ... More

An abstract framework for parabolic PDEs on evolving spacesMar 18 2014Jul 10 2015We present an abstract framework for treating the theory of well-posedness of solutions to abstract parabolic partial differential equations on evolving Hilbert spaces. This theory is applicable to variational formulations of PDEs on evolving spatial ... More

A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity and convergence to equilibriumDec 09 2016Nov 22 2017We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surface equations on a moving domain modelling receptor-ligand dynamics in cells. The nonlinear coupling between the three unknowns is through the Robin boundary ... More

Existence, iteration procedures and directional differentiability for parabolic QVIsApr 30 2019We study parabolic quasi-variational inequalities (QVIs) of obstacle type. Under appropriate assumptions on the obstacle mapping, we prove the existence of solutions of such QVIs by two methods: one by time discretisation through elliptic QVIs and the ... More

Quadratic differential equations : partial Gelfand-Shilov smoothing effect and null-controllabilityFeb 12 2019We study the partial Gelfand-Shilov regularizing effect and the exponential decay for the solutions to evolution equations associated to a class of accretive non-selfadjoint quadratic operators, which fail to be globally hypoelliptic on the whole phase ... More

Preud's equations for orthogonal polynomials as discrete Painlevé equationsNov 29 1996We consider orthogonal polynomials p_n with respect to an exponential weight function w(x) = exp(-P(x)). The related equations for the recurrence coefficients have been explored by many people, starting essentially with Laguerre [49], in order to study ... More

Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.Feb 17 1995Difference calculus compatible with polynomials (i.e., such that the divided difference operator of first order applied to any polynomial must yield a polynomial of lower degree) can only be made on special lattices well known in contemporary $q-$calculus. ... More

Asymptotics for the simplest generalized Jacobi polynomials recurrence coefficients from Freud's equations: numerical explorations.Mar 18 1994Generalized Jacobi polynomials are orthogonal polynomials related to a weight function which is smooth and positive on the whole interval of orthogonality up to a finite number of points, where algebraic singularities occur. The influence of these singular ... More

Elliptic Hypergeometric Solutions to Elliptic Difference EquationsMar 27 2009It is shown how to define difference equations on particular lattices $\{x_n\}$, $n\in\mathbb{Z}$, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations ... More

Creation and Growth of Components in a Random Hypergraph ProcessJul 12 2006Denote by an $\ell$-component a connected $b$-uniform hypergraph with $k$ edges and $k(b-1) - \ell$ vertices. We prove that the expected number of creations of $\ell$-component during a random hypergraph process tends to 1 as $\ell$ and $b$ tend to $\infty$ ... More

Well-posedness and gradient blow-up estimate near the boundary for a Hamilton-Jacobi equation with degenerate diffusionJan 17 2012Feb 07 2012This paper is concerned with weak solutions of the degenerate viscous Hamilton-Jacobi equation $$\partial_t u-\Delta_p u=|\nabla u|^q,$$ with Dirichlet boundary conditions in a bounded domain $\Omega\subset\mathbb{R}^N$, where $p>2$ and $q>p-1$. With ... More

Recognition of Changes in SAR Images Based on Gauss-Log Ratio and MRFFCMJun 03 2015A modified version of MRFFCM (Markov Random Field Fuzzy C means) based SAR (Synthetic aperture Radar) image change detection method is proposed in this paper. It involves three steps: Difference Image (DI) generation by using Gauss-log ratio operator, ... More

Model-Based Clustering of Nonparametric Weighted NetworksDec 21 2017Water pollution is a major global environmental problem, and it poses a great environmental risk to public health and biological diversity. This work is motivated by assessing the potential environmental threat of coal mining through increased sulfate ... More

Big Data and Learning Analytics in Higher Education: Demystifying Variety, Acquisition, Storage, NLP and AnalyticsJan 03 2018Different sectors have sought to take advantage of opportunities to invest in big data analytics and Natural language processing, in order to improve their productivity and competitiveness. Current challenges facing the higher education sector include ... More

Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fieldsAug 01 2016May 16 2017We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We prove new eigenvalues asymptotics.

Role of curvature and domain shape on Turing patternsMay 05 2017We consider pattern formation using reaction-diffusion equation on various non-uniformly curved surfaces. We explore how, in general, curvature and, in particular the domain shape would affect the pattern formation in these geometries. As examples, we ... More

Applicability of DUKPT Key Management Scheme to Cloud Wallet and other Mobile PaymentsDec 08 2014After discussing the concept of DUKPT based symmetric encryption key management (e.g., for 3DES) and definition of cloud or remote wallet, the paper analyses applicability of DUKPT to different use cases like mobile banking, NFC payment using EMV contactless ... More

Scalable and Efficient Self-Join Processing technique in RDF dataSep 16 2014Efficient management of RDF data plays an important role in successfully understanding and fast querying data. Although the current approaches of indexing in RDF Triples such as property tables and vertically partitioned solved many issues; however, they ... More

A unique method to evaluate the general integral $\int_0^\infty dx\frac{\sin ^a px \cos ^c qx}{x^b} $Jun 25 2013All integrals available in literature and books, that are related to Sinc(=sin x/x) function, are special cases of the general form of the integral given in the title. The evaluation of the integral is divided into two cases (i) $a$ and $b$ of same parity, ... More

Model-Based Clustering of Nonparametric Weighted Networks with Application to Water Pollution AnalysisDec 21 2017May 16 2019Water pollution is a major global environmental problem, and it poses a great environmental risk to public health and biological diversity. This work is motivated by assessing the potential environmental threat of coal mining through increased sulfate ... More

Hölder regularity for the gradient of the inhomogeneous parabolic normalized $p$-LaplacianOct 17 2016In this paper we study an evolution equation involving the normalized $p$-Laplacian and a bounded continuous source term. The normalized $p$-Laplacian is in non divergence form and arises for example from stochastic tug-of-war games with noise. We prove ... More

Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fieldsAug 01 2016We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We prove new eigenvalues asymptotics.

Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weightsJul 06 2017Let $AL^{2}_{\phi}(\mathbb{D})$ denote the closed subspace of $L^{2}(\mathbb{D},e^{-2\phi}d\lambda)$ consisting of holomorphic functions in the unit disc ${\mathbb D}$. For certain class of subharmonic funcions $\phi : {\mathbb D}\rightarrow{\mathbb D}$, ... More

Review of Considerations for Mobile Device based Secure Access to Financial Services and Risk Handling Strategy for CIOs, CISOs and CTOsFeb 03 2015The information technology and security stakeholders like CIOs, CISOs and CTOs in financial services organization are often asked to identify the risks with mobile computing channel for financial services that they support. They are also asked to come ... More

Analysis of Applicability of ISO 9564 PIN based Authentication to Closed-Loop Mobile Payment SystemsNov 11 2014Payment transactions initiated through a mobile device are growing and security concerns must be ad-dressed. People coming from payment card industry often talk passionately about porting ISO 9564 PIN standard based authentication in open-loop card payment ... More

Remarks on regularity for $p$-Laplacian type equations in non-divergence formOct 20 2017Oct 02 2018We study a singular or degenerate equation in non-divergence form modeled by the $p$-Laplacian, $$-|Du|^\gamma\left(\Delta u+(p-2)\Delta_\infty^N u\right)=f\ \ \ \ \text{in}\ \ \ \Omega.$$ We investigate local $C^{1,\alpha}$ regularity of viscosity solutions ... More

Onset of the magnetic explosion in solar polar coronal X-ray jetsMay 30 2018We follow up on the Sterling et al (2015) discovery that nearly all polar coronal X-ray jets are made by an explosive eruption of closed magnetic field carrying a miniature filament in its core. In the same X-ray and EUV movies used by Sterling et al ... More

Typed Closure Conversion for the Calculus of ConstructionsAug 12 2018Dependently typed languages such as Coq are used to specify and verify the full functional correctness of source programs. Type-preserving compilation can be used to preserve these specifications and proofs of correctness through compilation into the ... More

The role of phase compatibility in martensiteApr 23 2012Shape memory alloys inherit their macroscopic properties from their mesoscale microstructure originated from the martensitic phase transformation. In a cubic to orthorhombic transition, a single variant of marten- site can have a compatible (exact) interface ... More

Homologous Jet-Driven Coronal Mass Ejections From Solar Active Region 12192Apr 19 2016May 02 2016We report observations of homologous coronal jets and their coronal mass ejections (CMEs) observed by instruments onboard the Solar Dynamics Observatory (SDO) and Solar and Heliospheric Observatory (SOHO) spacecraft. The homologous jets originated from ... More

Limb Spicules from the Ground and from SpaceAug 31 2009We amassed statistics for quiet-sun chromosphere spicules at the limb using ground-based observations from the Swedish 1-m Solar Telescope on La Palma and simultaneously from NASA's Transition Region and Coronal Explorer (TRACE) spacecraft. The observations ... More

Babcock Redux: An Ammendment of Babcock's Schematic of the Sun's Magnetic CycleJun 16 2016We amend Babcock's original scenario for the global dynamo process that sustains the Sun's 22-year magnetic cycle. The amended scenario fits post-Babcock observed features of the magnetic activity cycle and convection zone, and is based on ideas of Spruit ... More

Commuting Involution Graphs in Classical Affine Weyl GroupsSep 13 2018In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let $W$ be a classical Weyl group of rank $n$, with $\tilde W$ its corresponding affine Weyl group. Our main result is that if $X$ is a conjugacy class of involutions ... More

On surface-knots with triple point number at most threeNov 13 2017Feb 19 2018In this paper, we show that if a diagram of a surface-knot $F$ has at most three triple points, then the cocyle invariant of $F$ is an integer. In particular, for a surface-knot of genus one, the triple point number invariant is at least four.

Inverse subsemigroups of finite index in finitely generated inverse semigroupsAug 15 2016The index of a subgroup of a group counts the number of cosets of that subgroup. A subgroup of finite index often shares structural properties with the group, and the existence of a subgroup of finite index with some particular property can therefore ... More

A Note on Commuting Involution Graphs in Affine Coxeter GroupsSep 13 2018Commuting involution graphs have been studied for finite Coxeter groups and for affine groups of classical type. The purpose of this short note is to establish some general results for commuting involution graphs in affine Coxeter groups, and to deal ... More

Commuting involution graphs for $\tilde C_n$Dec 07 2016In this article we consider commuting graphs of involution conjugacy classes in the affine Weyl group of type $\tilde C_n$. We show that where the graph is connected the diameter is at most $n+2$.

A Sharp Phase Field MethodMar 15 2018May 29 2018Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve the continuous ... More

Lattice thermal properties of Graphane: thermal contraction, roughness and heat capacityMay 12 2011Using atomistic simulations we determine the roughness and the thermal properties of a suspended graphane sheet. As compared to graphene we found that hydrogenated graphene has: 1) a larger thermal contraction, 2) the roughness exponent at room temperature ... More

Graphene nano ribbons subjected to axial stressApr 09 2011Atomistic simulations are used to study the bending of rectangular graphene nano ribbons subjected to axial stress both for free boundary and supported boundary conditions. The shape of the deformations of the buckled graphene nano ribbons, for small ... More

Relationship between Remittances and Macroeconomic Variables in Times of Political and Social Upheaval: Evidence from Tunisia's Arab SpringJul 28 2017If Tunisia was hailed as a success story with its high rankings on economic, educational, and other indicators compared to other Arab countries, the 2011 popular uprisings demonstrate the need for political reforms but also major economic reforms. The ... More

Transparency of the PT-symmetric complex potentials for coherent injectionOct 21 2014Jan 06 2016Two port s-matrix for a complex PT-symmetric potential may have uni-modular eigenvalues. If this happens for all energies, there occurs a perfect emission of waves at both ends. We call this phenomenon transparency which is distinctly different from coherent ... More

Logical Step-Indexed Logical RelationsMar 02 2011Jun 06 2011Appel and McAllester's "step-indexed" logical relations have proven to be a simple and effective technique for reasoning about programs in languages with semantically interesting types, such as general recursive types and general reference types. However, ... More

Strain engineered graphene using a nanostructured substrate: I DeformationsApr 28 2012Using atomistic simulations we investigate the morphological properties of graphene deposited on top of a nanostructured substrate. Sinusoidally corrugated surfaces, steps, elongated trenches, one dimensional and cubic barriers, spherical bubbles, Gaussian ... More

Nanoindentation of a circular sheet of bilayer grapheneMay 12 2011Nanoindentation of bilayer graphene is studied using molecular dynamics simulations. We compared our simulation results with those from elasticity theory as based on the nonlinear F\"{o}ppl-Hencky equations with rigid boundary condition. The force deflection ... More

Higher moments on strangeness fluctuation using PNJL modelSep 25 2018The strangeness fluctuation of QGP matter has been investigated in three flavor finite volume Polyakov loop extended Nambu-Jona--Lasinio model. The ratio of fourth order moment to second order moment (kurtosis) and the third order moment to second order ... More

Hacking Google reCAPTCHA v3 using Reinforcement LearningMar 03 2019Apr 18 2019We present a Reinforcement Learning (RL) methodology to bypass Google reCAPTCHA v3. We formulate the problem as a grid world where the agent learns how to move the mouse and click on the reCAPTCHA button to receive a high score. We study the performance ... More

Onset of a Large Ejective Solar Eruption from a Typical Coronal-Jet-Base Field ConfigurationJun 28 2017Utilizing multiwavelength observations and magnetic field data from SDO/AIA, SDO/HMI, GOES and RHESSI, we investigate a large-scale ejective solar eruption of 2014 December 18 from active region NOAA 12241. This event produced a distinctive three-ribbon ... More

Asymmetric simple exclusion process describing conflicting traffic flowsJan 24 2008We use the asymmetric simple exclusion process for describing vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the intersection point yield to each other to avoid collision. ... More

Graphene on hexagonal lattice substrate: Stress and Pseudo-magnetic fieldJul 04 2014Moir'e patterns in the pseudo-magnetic field and in the strain profile of graphene (GE) when put on top of a hexagonal lattice substrate are predicted from elasticity theory. %which are confirmed by atomistic simulations. The van der Waals (vdW) interaction ... More

Buckled circular monolayer graphene: a graphene nano-bowlDec 23 2010We investigate the stability of circular monolayer graphene subjected to a radial load using non-equilibrium molecular dynamics simulations. When monolayer graphene is radially stressed, after some small circular strain ($\sim 0.4%$) it buckles and bends ... More

Hacking Google reCAPTCHA v3 using Reinforcement LearningMar 03 2019We present a Reinforcement Learning (RL) methodology to bypass Google reCAPTCHA v3. We formulate the problem as a grid world where the agent learns how to move the mouse and click on the reCAPTCHA button to receive a high score. We study the performance ... More

Hacking Google reCAPTCHA v3 using Reinforcement LearningMar 03 2019Mar 12 2019We present a Reinforcement Learning (RL) methodology to bypass Google reCAPTCHA v3. We formulate the problem as a grid world where the agent learns how to move the mouse and click on the reCAPTCHA button to receive a high score. We study the performance ... More

An Application of Jackson's $(p, q)$-Derivative to a Subclass of Starlike Functions with Negative CoefficientsMar 04 2019In this paper, we introduce and investigate the subclass $\mathcal{P}_{p,q}^{\xi ,\kappa}(\tau, \eta)$ of starlike functions with negative coefficients by using the differential operator $\Upsilon_{\tau ,p,q}^{\xi ,\kappa}$. Coefficient inequalities, ... More

S--polyregular Bargmann spaces and associated Segal--Bargmann transformDec 21 2018We introduce two classes of right quaternionic Hilbert spaces in the context of slice polyregular functions, generalizing the so-called slice and full hyperholomorphic Bargmann spaces. Their basic properties are discussed and the explicit formulae of ... More

Inertial spheroids in homogeneous, isotropic turbulenceAug 03 2018We study the rotational dynamics of {\it inertial} disks and rods in three-dimensional, homogeneous isotropic turbulence. In particular, we show how the alignment and the decorrelation time-scales of such spheroids depend, critically, on both the level ... More

Rust Distilled: An Expressive Tower of LanguagesJun 07 2018Aug 16 2018Rust represents a major advancement in production programming languages because of its success in bridging the gap between high-level application programming and low-level systems programming. At the heart of its design lies a novel approach to ownership ... More

Coexistence of magnetism and superconductivity in a t-J bilayerOct 14 2007We investigate coexistence of antiferromagnetic and superconducting correlations in bilayered materials using a two-dimensional t-J model with couplings across the layers using variational Monte Carlo calculations. It is found that the underdoped regime ... More

Stochastic Function Norm Regularization of Deep NetworksMay 30 2016Deep neural networks have had an enormous impact on image analysis. State-of-the-art training methods, based on weight decay and DropOut, result in impressive performance when a very large training set is available. However, they tend to have large problems ... More

Strain engineered graphene using a nanostructured substrate: II Pseudo-magnetic fieldsApr 28 2012The strain induced pseudo-magnetic field in supported graphene deposited on top of a nanostructured substrate is investigated by using atomistic simulations. Step, elongated trench, one dimensional barrier, spherical bubbles, Gaussian bump and Gaussian ... More

Effect of grain boundary on the buckling of graphene nanoribbonsMar 03 2012The buckling of graphene nano-ribbons containing a grain boundary is studied using atomistic simulations where free and supported boundary conditions are invoked. We found that when graphene contains a small angle grain boundary the buckling strains are ... More

Graphene on boron-nitride: Moiré pattern in the van der Waals energyApr 19 2014The spatial dependence of the van der Waals (vdW) energy between graphene and hexagonal boron-nitride (h-BN) is investigated using atomistic simulations. The van der Waals energy between graphene and h-BN shows a hexagonal superlattice structure identical ... More

$C^{1,α}$ regularity for the normalized $p$-Poisson problemMar 21 2016Nov 15 2016We consider the normalized $p$-Poisson problem $$-\Delta^N_p u=f \qquad \text{in}\quad \Omega.$$ The normalized $p$-Laplacian $\Delta_p^{N}u:=|D u|^{2-p}\Delta_p u$ is in non-divergence form and arises for example from stochastic games. We prove $C^{1,\alpha}_{loc}$ ... More

Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials.Jul 09 1993Recurrence coefficients of semi-classical orthogonal polynomials (orthogonal polynomials related to a weight function $w$ such that $w'/w$ is a rational function) are shown to be solutions of non linear differential equations with respect to a well-chosen ... More

The ALVIS Format for Linguistically Annotated DocumentsSep 24 2006The paper describes the ALVIS annotation format designed for the indexing of large collections of documents in topic-specific search engines. This paper is exemplified on the biological domain and on MedLine abstracts, as developing a specialized search ... More

Solar Active Region Coronal Jets II: Triggering and Evolution of Violent JetsMay 08 2017We study a series of X-ray-bright, rapidly-evolving active-region coronal jets outside the leading sunspot of AR 12259, using Hinode/XRT, SDO/AIA and HMI, and IRIS data. The detailed evolution of such rapidly evolving "violent" jets remained a mystery ... More

Smoothing Properties of Fractional Ornstein-Uhlenbeck Semigroups and Null-ControllabilityOct 05 2018We study fractional hypoelliptic Ornstein-Uhlenbeck operators acting on $L^2(\mathbb{R}^n)$ satisfying the Kalman rank condition. We prove that the semigroups generated by these operators enjoy Gevrey regularizing effects. Two byproducts are derived from ... More

A Two-Sided-Loop X-Ray Solar Coronal Jet Driven by a Minifilament EruptionNov 13 2018Most of the commonly discussed solar coronal jets are of the type consisting of a single spire extending approximately vertically from near the solar surface into the corona. Recent research supports that eruption of a miniature filament (minifilament) ... More

Magnetic Flux Cancellation as the Trigger Mechanism of Solar Coronal JetsJun 15 2019Coronal jets are transient narrow features in the solar corona that originate from all regions of the solar disk: active regions, quiet sun, and coronal holes. Recent studies indicate that at least some coronal jets in quiet regions and coronal holes ... More

FunTAL: Reasonably Mixing a Functional Language with AssemblyNov 10 2017We present FunTAL, the first multi-language system to formalize safe interoperability between a high-level functional language and low-level assembly code while supporting compositional reasoning about the mix. A central challenge in developing such a ... More

Real discrete spectrum of complex PT-symmetric scattering potentialsOct 21 2015We investigate the parametric evolution of the real discrete spectrum of several complex PT symmetric scattering potentials of the type $V(x)=-V_1 F_e(x) + i V_2 F_o(x), V_1>0, F_e(x)>0$ by varying $V_2$ slowly. Here $e,o$ stand for even and odd parity ... More

Perceptual Embedding Consistency for Seamless Reconstruction of Tilewise Style TransferJun 03 2019Style transfer is a field with growing interest and use cases in deep learning. Recent work has shown Generative Adversarial Networks(GANs) can be used to create realistic images of virtually stained slide images in digital pathology with clinically validated ... More

Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fieldsJan 18 2018Jun 21 2018The modifications of the masses of the $B$ and $\bar B$ mesons in asymmetric nuclear matter in the presence of strong magnetic fields, are investigated using a chiral effective model. The medium modifications of these open bottom mesons arise due to their ... More

Combining Lexical Features and a Supervised Learning Approach for Arabic Sentiment AnalysisOct 23 2017The importance of building sentiment analysis tools for Arabic social media has been recognized during the past couple of years, especially with the rapid increase in the number of Arabic social media users. One of the main difficulties in tackling this ... More

Electronic properties of graphene nano-flakes: Energy gap, permanent dipole, termination effect and Raman spectroscopyFeb 05 2014The electronic properties of graphene nano-flakes (GNFs) with different edge passivation is investigated by using density functional theory. Passivation with F and H atoms are considered: C$_{N_c}$ X$_{N_x}$ (X=F or H). We studied GNFs with $10<N_c<56$ ... More

Numerical solution for a non-Fickian diffusion in a periodic potentialSep 11 2011Numerical solutions of a non-Fickian diffusion equation belonging to a hyperbolic type are presented in one space dimension. The Brownian particle modelled by this diffusion equation is subjected to a symmetric periodic potential whose spatial shape can ... More

Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentialsApr 16 2015We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime ... More

AA-stacked bilayer square ice between graphene layers?Sep 28 2015Water confined between two layers with separation of a few Angstrom forms layered two- dimensional ice structure. Using large scale molecular dynamics simulations with the adoptable ReaxFF interatomic potential we found that flat monolayer ice with a ... More

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearityMay 22 2014In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ... More

Generalizing multistain immunohistochemistry tissue segmentation using one-shot color deconvolution deep neural networksMay 17 2018Sep 22 2018A key challenge in cancer immunotherapy biomarker research is quantification of pattern changes in microscopic whole slide images of tumor biopsies. Different cell types tend to migrate into various tissue compartments and form variable distribution patterns. ... More

Virtual Complete Intersections in $\mathbb{P}^1 \times \mathbb{P}^1$May 24 2019The minimal free resolution of the coordinate ring of a complete intersection in projective space is a Koszul complex on a regular sequence. In the product of projective spaces $\mathbb{P}^1 \times \mathbb{P}^1$, we investigate which sets of points have ... More

Electronic structure of graphene hexagonal flake subjected to triaxial stressApr 19 2014The electronic properties of a triaxially strained hexagonal graphene flake with either armchair or zig-zag edges are investigated using molecular dynamics simulations and tight-binding calculations. We found that: i) the pseudo-magnetic field in the ... More

Monte Carlo simulation of size-effects on thermal conductivity in a 2-dimensional Ising systemApr 28 2006Sep 26 2006A model based on microcanonical Monte Carlo method is used to study the application of the temperature gradient along a two-dimensional (2D) Ising system. We estimate the system size effects on thermal conductivity, $K$, for a nano-scale Ising layer with ... More

Melting of graphene clustersApr 22 2013Density-functional tight-binding and classical molecular dynamics simulations are used to investigate the structural deformations and melting of planar carbon nano-clusters $C_{N}$ with N=2-55. The minimum energy configurations for different clusters ... More

Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fieldsJan 18 2018The modifications of the masses of the $B$ and $\bar B$ mesons in asymmetric nuclear matter in the presence of strong magnetic fields, are investigated using a chiral effective model. The medium modifications of these open bottom mesons arise due to their ... More

Oxide: The Essence of RustMar 03 2019Rust is a major advancement in industrial programming languages due in large part to its success in bridging the gap between low-level systems programming and high-level application programming. This success has ultimately empowered programmers to more ... More

Encoder Based Lifelong LearningApr 06 2017This paper introduces a new lifelong learning solution where a single model is trained for a sequence of tasks. The main challenge that vision systems face in this context is catastrophic forgetting: as they tend to adapt to the most recently seen task, ... More

Nonlocal reductions of the Ablowitz-Ladik equationNov 22 2017The purpose of the present paper is to develop the inverse scattering transform for the nonlocal semi-discrete nonlinear Schrodinger equation (known as Ablowitz-Ladik equation) with PT-symmetry. This includes: the eigenfunctions (Jost solutions) of the ... More

Fuzzy Linguistic Topological SpacesMar 05 2012This book has five chapters. Chapter one is introductory in nature. Fuzzy linguistic spaces are introduced in chapter two. Fuzzy linguistic vector spaces are introduced in chapter three. Chapter four introduces fuzzy linguistic models. The final chapter ... More

Thermal and non-thermal leptogenesis in different neutrino mass models with tribimaximal mixingsJul 15 2008In the present work we study both thermal and non-thermal leptogenesis in all neutrino mass models describing the presently available neutrino mass patterns. We consider the Majorana CP violating phases coming from right-handed Majorana mass matrices ... More

Type-II seesaw mass models and baryon asymmetryDec 12 2006We compute and also compare the contributions of canonical and noncanonical mass terms towards baryon asymmetry by considering type-II seesaw mass models of neutrinos: Degenerare(3 varieties), Normal hierarchical and Inverted hierarchical(2 varieties). ... More

Generalized Zernike polynomials: Operational formulae and generating functionsDec 12 2013Apr 02 2015We establish new operational formulae of Burchnall type for the complex disk polynomials (generalized Zernike polynomials). We then use them to derive some interesting identities involving these polynomials. In particular, we establish recurrence relations ... More

Complex Hermite functions as Fourier-Wigner transformJun 23 2015Jul 18 2015We prove that the complex Hermite polynomials H_{m,n} on the complex plane $\mathbb{C}$ can be realized as the Fourier-Wigner transform $\mathcal{V}$ of the well-known real Hermite functions $h_n$ on real line $\mathbb{R}$. This reduces considerably the ... More

Characterization of experts in crowdsourcing platformsSep 30 2016Crowdsourcing platforms enable to propose simple human intelligence tasks to a large number of participants who realise these tasks. The workers often receive a small amount of money or the platforms include some other incentive mechanisms, for example ... More

Ubiquitous Indoor Localization and Worldwide Automatic Construction of Floor PlansApr 15 2012Although GPS has been considered a ubiquitous outdoor localization technology, we are still far from a similar technology for indoor environments. While a number of technologies have been proposed for indoor localization, they are isolated efforts that ... More