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Time-stepping discontinuous Galerkin methods for fractional diffusion problemsSep 24 2014Time-stepping $hp$-versions discontinuous Galerkin (DG) methods for the numerical solution of fractional subdiffusion problems of order $-\alpha$ with $-1<\alpha<0$ will be proposed and analyzed. Generic $hp$-version error estimates are derived after ... More

FEM for time-fractional diffusion equations, novel optimal error analysesOct 18 2016A semidiscrete Galerkin finite element method applied to time-fractional diffusion equations with time-space dependent diffusivity on bounded convex spatial domains will be studied. The main focus is on achieving optimal error results with respect to ... More

Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equationsJun 12 2012We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ($-1<\alpha<0$) or wave ($0<\alpha<1$) equation. A numerical solution is found by applying a piecewise-linear, discontinuous ... More

Time-stepping error bounds for fractional diffusion problems with non-smooth initial dataMay 09 2014We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that the method is first order accurate at the \$n\$th time level \$t_n\$, but ... More

A priori estimates of a finite element method for fractional diffusion problems by energy argumentsMay 30 2016In this article, the Galerkin piecewise-linear finite element (FE) method is applied to approximate the solution of time-fractional diffusion equations with variable diffusivity on bounded convex domains. Standard energy arguments do not provide satisfactory ... More

A discontinuous Petrov-Galerkin method for time-fractional diffusion equationsSep 05 2014We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of time-fractional subdiffusion problems. We prove the existence, uniqueness ... More

Numerical solution of the time-fractional Fokker-Planck equation with general forcingJul 21 2015We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method. ... More

A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernelsJan 28 2013We study the numerical solution for Volerra integro-differential equations with smooth and non-smooth kernels. We use a $h$-version discontinuous Galerkin (DG) method and derive nodal error bounds that are explicit in the parameters of interest. In the ... More

Regularity theory for time-fractional advection-diffusion-reaction equationsFeb 03 2019We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. Our focus is ... More

A hybridizable discontinuous Galerkin method for fractional diffusion problemsSep 25 2014We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order $-\alpha$ with $-1<\alpha<0$. For exact time-marching, we derive optimal algebraic error estimates {assuming} that ... More

Convergence and superconvergence analyses of HDG methods for time fractional diffusion problemsDec 05 2014We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order $0<\alpha<1$. For each time $t \in [0,T]$, the HDG approximations are taken to be piecewise ... More

Optimal error analysis of a FEM for fractional diffusion problems by energy argumentsMay 30 2016Nov 04 2018In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard energy arguments do not provide satisfactory results for such a problem ... More

A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial dataFeb 08 2019We present a new stability and convergence analysis for the spatial discretization of a time-fractional Fokker--Planck equation in a convex polyhedral domain, using continuous, piecewise-linear, finite elements. The forcing may depend on time as well ... More

Finite volume element method for two-dimensional fractional subdiffusion problemsOct 26 2015In this paper, a semi-discrete spatial finite volume (FV) method is proposed and analyzed for approximating solutions of anomalous subdiffusion equations involving a temporal fractional derivative of order $\alpha \in (0,1)$ in a two-dimensional convex ... More

Next-to-next-to-leading order Skyrme interaction in nuclear matter: Nuclear bulk quantities at second order in perturbation theoryJul 20 2016We present the explicit form of the next-to-next-to-leading order (N$^2$LO) Skyrme interaction in momentum space by including the fourth-order gradient potentials to the standard Skyrme interaction. With the N$^2$LO Skyrme interaction, we evaluate the ... More

An inverse source problem for a two-parameter anomalous diffusion with local time datumApr 23 2016We determine the space-dependent source term for a two-parameter fractional diffusion problem subject to nonlocal non-self-adjoint boundary conditions and two local time-distinct datum. A bi-orthogonal pair of bases is used to construct a series representation ... More

Well-posedness of time-fractional, advection-diffusion-reaction equationsOct 11 2018Feb 05 2019We establish the well-posedness of an initial-boundary value problem for a general class of time-fractional, advection-diffusion-reaction equations, allowing space- and time-dependent coefficients as well as initial data that may have low regularity. ... More

Les interprétations de la mécanique quantique : une vue d'ensemble introductiveSep 07 2015La m\'ecanique quantique est une th\'eorie physique contemporaine r\'eput\'ee pour ses d\'efis au sens commun et ses paradoxes. Depuis bient\^ot un si\`ecle, plusieurs interpr\'etations de la th\'eorie ont \'et\'e propos\'ees par les physiciens et les ... More

Dimensional regularization applied to nuclear matter with a zero--range interactionFeb 15 2012Jul 07 2012We apply the dimensional regularization procedure to treat an ultraviolet divergence occurring in the framework of the nuclear many-body problem. We consider the second--order correction (beyond the mean-field approximation) to the equation of state of ... More

Detecting Fault Injection Attacks with Runtime VerificationJul 07 2019Fault injections are increasingly used to attack secure applications. Software countermeasures against fault injections can be categorized into (i) algorithm-level countermeasures, which are easy to deploy and introduce low overhead but not so difficult ... More

La conjecture de Casas Alvero pour les degrés $5p^{e}$Nov 09 2012According to Casas Alvero conjecture, if a one variable polynomial of degree $n$ over a field of characteristic 0 is not prime with each of the $n-1$ first derivees, then it is of the form $c (X-r)^{n}$. Let $p$ be a prime number and an integer $e$, the ... More

Notes sur l'indice des algèbres de Lie (I)May 18 2006Mar 30 2009This article contains: - Proofs of certain results recently obtained by D. Panyushev. - An addendum to the "inequality of Panyushev". - Calculations of indexes of certain contracted Lie algebras. - Examples of additivity of the index of Lie algebras. ... More

A new Backdoor Attack in CNNs by training set corruption without label poisoningFeb 12 2019Backdoor attacks against CNNs represent a new threat against deep learning systems, due to the possibility of corrupting the training set so to induce an incorrect behaviour at test time. To avoid that the trainer recognises the presence of the corrupted ... More

Errors, chaos and the collisionless limitApr 18 2018Jan 02 2019We simultaneously study the dynamics of the growth of errors and the question of the faithfulness of simulations of $N$-body systems. The errors are quantified through the numerical reversibility of small-$N$ spherical systems, and by comparing fixed-timestep ... More

Testing gravity theories using tensor perturbationsMay 11 2016Primordial gravitational waves constitute a promising probe of the very-early universe and the laws of gravity. We study changes to tensor mode perturbations that can arise in various proposed modified gravity (MG) theories. These include additional friction ... More

Cyclic and semi-cyclic flows of polytropic fluids in f(R) gravityMay 19 2016We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological horizons as well ... More

Discrete harmonic functions in Lipschitz domainsJan 03 2019Apr 21 2019We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leaving a globally Lipschitz domain in $\mathbb{Z}^d$. Our method is based on ... More

Functional Version for Furuta Parametric Relative Operator EntropyMar 29 2018Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functional approach immediately imply those of operator ... More

Modeling and analysis of the dielectric properties of composite materials using large random RC networksSep 25 2017The paper proposes a simple and efficient method to study the dielectric properties of composite materials modeled using very large random resistor-capacitor (RC) networks. The algorithm is based on the Frank-Lobb reduction scheme and analyses the frequency ... More

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravityApr 04 2016The scenario consistent with a wealth of observations for the missing mass problem is that of weakly interacting dark matter particles. However, arguments or proposals for a Newtonian or relativistic modified gravity scenario continue to be made. A distinguishing ... More

Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graphJul 27 2016Terpai [22] proved the Nordhaus-Gaddum bound that $\mu(G) + \mu(\overline{G}) \le 4n/3 - 1$, where $\mu(G)$ is the spectral radius of a graph $G$ with $n$ vertices. Let $s^+$ denote the sum of the squares of the positive eigenvalues of $G$. We prove that ... More

On `The conformal metric structure of Geometrothermodynamics': GeneralizationsNov 26 2013Mar 19 2014We show that the range of applicability of the change of representation formula derived in J. Math. Phys. \textbf{54}, 033513 (2013) [arXiv:1302.6928] is very narrow and extend it to include all physical applications, particularly, applications to black ... More

Light paths of normal and phantom Einstein-Maxwell-dilaton black holesSep 24 2012Jan 07 2013Null geodesics of normal and phantom Einstein-Maxwell-dilaton black holes are determined analytically by the Weierstrass elliptic functions. The black hole parameters other than the mass enter, with the appropriate signs, the formula for the angle of ... More

Spatial curvature and cosmological tests of general relativityMay 11 2012Dec 20 2012It is well-known that allowing for spatial curvature affects constraints on cosmological parameters such as the dark energy equation of state parameters. Here we study the effect of curvature on constraints on parameters used to test general relativity ... More

The Relevance of the Cosmological Constant for LensingMay 31 2010This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into a setting of ... More

Duality for Modules and Applications to Decoding Linear Codes over Finite Commutative RingsOct 12 2014Using linear functional-based duality of modules, we generalize the syndrome decoding algorithm of linear codes over finite fields to those over finite commutative rings. Moreover, If the ring is local the algorithm is simplified by introducing the control ... More

From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic fieldJan 17 2014Apr 16 2014We derive a shortcut stationary metric formula for generating imperfect fluid rotating solutions, in Boyer-Lindquist coordinates, from spherically symmetric static ones. We explore the properties of the curvature scalar and stress-energy tensor for all ... More

Comment on `Spinning loop black holes' [arXiv:1006.0232]Jun 06 2011We review the derivations and conclusions made in Caravelli and Modesto (2010 \textit{Class. Quantum Grav.} \textbf{27} 245022, arXiv:1006.0232) and show that most of the analysis performed there is not valid.

Contiguous redshift parameterizations of the growth indexMay 15 2009Aug 10 2009The growth rate of matter perturbations can be used to distinguish between different gravity theories and to distinguish between dark energy and modified gravity at cosmological scales as an explanation to the observed cosmic acceleration. We suggest ... More

The Contribution of the Cosmological Constant to the Relativistic Bending of Light RevisitedSep 19 2007We study the effect of the cosmological constant $\Lambda$ on the bending of light by a concentrated spherically symmetric mass. Contrarily to previous claims, we show that when the Schwarzschild-de Sitter geometry is taken into account, $\Lambda$ does ... More

A minimal set of invariants as a systematic approach to higher order gravity models: Physical and Cosmological ConstraintsDec 29 2009We compare higher order gravity models to observational constraints from magnitude-redshift supernova data, distance to the last scattering surface of the CMB, and Baryon Acoustic Oscillations. We follow a recently proposed systematic approach to higher ... More

Stochastic Fluctuations in the Spectrophotometric Properties of Star ClustersMar 30 2000Jun 25 2001Integrated spectrophotometric properties of stellar systems are intrinsically dispersed due to the stochastic nature of the small numbers of bright stars they contain. Among clusters, only the most massive ones can be used individually for comparison ... More

Smoothed one-core and core--multi-shell regular black holesJun 14 2017Jun 11 2018We discuss the generic properties of a general, smoothly varying, spherically symmetric mass distribution $\mathcal{D}(r,\theta)$, with no cosmological term ($\theta$ is a length scale parameter). Observing these constraints, we show that (a) the de Sitter ... More

Epicyclic oscillations of charged particles in stationary solutions immersed in a magnetic field with application to the Kerr--Newman black holeDec 14 2017Jul 23 2018We consider a stationary metric immersed in a uniform magnetic field and determine general expressions for the epicyclic frequencies of charged particles. Applications to the Kerr--Newman black hole is reach of physical consequences and reveals some new ... More

Some Inequalities involving Heron and Heinz Means of two Convex FunctionalsSep 06 2018Dec 19 2018In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are immediately deduced. ... More

Cylindrically symmetric $n$-dimensional (un)charged de Sitter and anti-de Sitter black holes in generic $f(T)$ gravityAug 14 2019Given a generic function $f(T)$ we construct in almost closed forms cylindrically symmetric $n$-dimensional uncharged and charged de Sitter and anti-de Sitter solutions (including black holes, wormholes and possibly other regular solutions) in $f(T)$ ... More

Injective envelopes of transition systems and Ferrers languagesJul 04 2019We consider reflexive and involutive transition systems over an ordered alphabet $A$ equipped with an involution. We give a description of the injective envelope of any two-element set in terms of Galois lattice, from which we derive a test of its finiteness. ... More

Second-order equation of state with the full Skyrme interaction: toward new effective interactions for beyond mean-field modelsApr 06 2012In a quantum Fermi system the energy per particle calculated at the second order beyond the mean-field approximation diverges if a zero-range interaction is employed. We have previously analyzed this problem in symmetric nuclear matter by using a simplified ... More

Trading Optimality for Performance in Location PrivacyOct 16 2017Location-Based Services (LBSs) provide invaluable aid in the everyday activities of many individuals, however they also pose serious threats to the user' privacy. There is, therefore, a growing interest in the development of mechanisms to protect location ... More

Characterizing Privacy Perceptions of Voice Assistants: A Technology Probe StudyDec 01 2018The increasing pervasiveness of voice assistants in the home poses several privacy threats, including the stealthy recording of conversations. Little is known about user mental models of such threats, levels of comfort with their presence, and perceptions ... More

Optimum Fusion of Possibly Corrupted Reports for Distributed Detection in Multi-Sensor NetworksMar 19 2015The most common approach to mitigate the impact that the presence of malicious nodes has on the accuracy of decision fusion schemes consists in observing the behavior of the nodes over a time interval T and then removing the reports of suspect nodes from ... More

Signal injection and averaging for position estimation of Permanent-Magnet Synchronous MotorsMar 26 2012Sensorless control of Permanent-Magnet Synchronous Motors at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and magnetic-saturation induced. ... More

A Game-Theoretic Framework for Optimum Decision Fusion in the Presence of ByzantinesJul 02 2015Optimum decision fusion in the presence of malicious nodes - often referred to as Byzantines - is hindered by the necessity of exactly knowing the statistical behavior of Byzantines. By focusing on a simple, yet widely studied, set-up in which a Fusion ... More

On the Transferability of Adversarial Examples Against CNN-Based Image ForensicsNov 05 2018Recent studies have shown that Convolutional Neural Networks (CNN) are relatively easy to attack through the generation of so-called adversarial examples. Such vulnerability also affects CNN-based image forensic tools. Research in deep learning has shown ... More

Slow light-enhanced optical imaging of microfiber radius variations with sub-Angström precisionMay 29 2019Optical fibers play a key role in many different fields of science and technology. For many of these applications it is of outmost importance to precisely know and control their radius. In this manuscript, we demonstrate a novel technique to determine ... More

Sensorless position estimation of Permanent-Magnet Synchronous Motors using a saturation modelJul 24 2012Sensorless control of Permanent-Magnet Synchronous Motors (PMSM) at low velocity remains a challenging task. A now well-established method consists in injecting a high-frequency signal and use the rotor saliency, both geometric and magnetic-saturation ... More

Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2Feb 18 2017Jun 29 2017The magnetization process of single crystals of the metallic kagom\'e ferromagnet Co3Sn2S2 was carefully measured via magnetization and AC susceptibility. Field-dependent anomalous transitions in the magnetization indicate a low-field unconventionally ... More

Linear and weakly nonlinear global instability of a fluid flow through a collapsible channelDec 14 2018Mar 07 2019Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim of this paper ... More

Spectral theory and time asymptotics of size-structured two-phase population modelsFeb 08 2019This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of finite maximal size. We characterize the irreducibility of the corresponding ... More

Ground state properties of even-even and odd Nd,Ce and Sm isotopes in Hartree-Fock-Bogoliubov methodOct 06 2015In this work, we have studied ground-state properties of both even-even and odd Nd isotopes within Hartree-Fock-Bogoliubov method with SLy5 Skyrme force in which the pairing strength has been generalized with a new proposed formula. We calculated bind- ... More

Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibersNov 19 2010We describe the asymptotic behaviour of a cylindrical elastic body, reinforced along identical $\epsilon$-periodically distributed fibers of size $r_{\epsilon}$, with $0 < r_{\epsilon} < \epsilon$, filled in with some different elastic material, when ... More

Self-calibrating the gravitational shear-intrinsic ellipticity-intrinsic ellipticity (GII) cross-correlationMay 07 2012Jun 05 2012We extend the 3-point intrinsic alignment self-calibration technique to the gravitational shear-intrinsic ellipticity-intrinsic ellipticity (GII) bispectrum. The proposed technique will allow the measurement and removal of the GII intrinsic alignment ... More

Self-Calibration Technique for 3-point Intrinsic Alignment Correlations in Weak Lensing SurveysSep 22 2011Dec 23 2011The intrinsic alignment (IA) of galaxies has been shown to be a significant barrier to precision cosmic shear measurements. (Zhang, 2010, ApJ, 720, 1090) proposed a self-calibration technique for the power spectrum to calculate the induced gravitational ... More

Adiabatic models of the cosmological radiative eraNov 05 2001Apr 16 2002We consider a generalization of the Lemaitre-Tolman-Bondi (LTB) solutions by keeping the LTB metric but replacing its dust matter source by an imperfect fluid with anisotropic pressure $\Pi_{ab} $. Assuming that total matter-energy density $\rho$ is the ... More

High pressure effects on the benzene pre-crystallization metastable statesAug 05 2019We report new results on the liquid to solid phase transition of benzene. We determine experimentally and investigate the properties of a number of parameters of the benzene metastable state under different pressures (from 0.1 up to 2200 atm). It is shown ... More

Averaged universe confronted to cosmological observations: a fully covariant approachApr 12 2016One of the outstanding problems in general relativistic cosmology is that of the averaging. That is, how the lumpy universe that we observe at small scales averages out to a smooth Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The root of the problem ... More

Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributionsMar 28 2017Mar 17 2018We consider continuous-time Markov chains which display a family of wells at the same depth. We provide sufficient conditions which entail the convergence of the finite-dimensional distributions of the order parameter to the ones of a finite state Markov ... More

Enhancing ML Robustness Using Physical-World ConstraintsMay 26 2019Recent advances in Machine Learning (ML) have demonstrated that neural networks can exceed human performance in many tasks. While generalizing well over natural inputs, neural networks are vulnerable to adversarial inputs -an input that is ``similar'' ... More

Gyroscope precession frequency analysis of a five dimensional charged rotating Kaluza-Klein black holeJul 01 2019In this paper, we study the spin precession frequency of a test gyroscope attached to a stationary observer in the five dimensional rotating Kaluza-Klein black hole (RKKBH). We derive the conditions under which the test gyroscope moves along a timelike ... More

Luminosity distance and redshift in the Szekeres inhomogeneous cosmological modelsMay 17 2010May 11 2011The Szekeres inhomogeneous models can be used to model the true lumpy universe that we observe. This family of exact solutions to Einstein's equations was originally derived with a general metric that has no symmetries. In this work, we develop and use ... More

An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic fieldOct 11 2010Oct 14 2010A general treatment of the quantal time-dependent coupled oscillators in presence of the variable magnetic field is presented. The treatment is based on the use of an alternative canonical transformations, time-dependent unitary transformations and the ... More

Greatest least eigenvalue of the Laplacian on the Klein bottleJun 29 2005We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $\mathbb{K}$ one has $$\lambda\_1 (\mathbb{K}, g) A (\mathbb{K}, g)\le 12 \pi E(2\sqrt 2/3),$$ ... More

Helgason Gabor Fourier transform and uncertainty principlesDec 06 2018Windowing a Fourier transform is a useful tool, which gives us the similarity between the signal and time frequency signal, and it allows to get sense when/where ceratin frequencies occur in the input signal, this method is introduced by Dennis Gabor. ... More

Free monoids and generalized metric spacesMay 27 2017Let $A$ be an ordered alphabet, $A^{\ast}$ be the free monoid over $A$ ordered by the Higman ordering, and let $F(A^{\ast})$ be the set of final segments of $A^{\ast}$. With the operation of concatenation, this set is a monoid. We show that the submonoid ... More

Invariant density & time asymptotics for collisionless kinetic equations with partly diffuse boundary operatorsDec 13 2018This paper deals with collisionless transport equations in bounded open domains $\Omega \subset \R^{d}$ $(d\geq 2)$ with $\mathcal{C}^{1}$ boundary $\partial \Omega $, orthogonally invariant velocity measure $\bm{m}(\d v)$ with support $V\subset \R^{d}$ ... More

Comments on "Maximum or minimum entropy production ? How to select a necessary criterion of stability for a dissipative fluid or plasma"Sep 03 2012In a recent paper, Phys. Rev E 81, 041137 (2010), the author attempts to derive ten necessary conditions for stability of dissipative fluids and plasmas. Assuming the validity of the local equilibrium principle, these criteria have been obtained solely ... More

Outage Probability of Diversity Combining Receivers in Arbitrarily Fading ChannelsMay 22 2011We propose a simple and accurate method to evaluate the outage probability at the output of arbitrarily fading L-branch diversity combining receiver. The method is based on the saddlepoint approximation, which only requires the knowledge of the moment ... More

Speech Recognition Oriented Vowel Classification Using Temporal Radial Basis FunctionsDec 19 2009The recent resurgence of interest in spatio-temporal neural network as speech recognition tool motivates the present investigation. In this paper an approach was developed based on temporal radial basis function "TRBF" looking to many advantages: few ... More

Averaged universe confronted with cosmological observations: A fully covariant approachApr 12 2016Nov 18 2016One of the outstanding problems in general relativistic cosmology is that of the averaging. That is, how the lumpy universe that we observe at small scales averages out to a smooth Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The root of the problem ... More

A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditionsJan 26 2007In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condition. We give local existence result and prove global existence for small initial data. A natural non increasing in time energy is associated to this equation. ... More

Polisis: Automated Analysis and Presentation of Privacy Policies Using Deep LearningFeb 07 2018Privacy policies are the primary channel through which companies inform users about their data collection and sharing practices. In their current form, policies remain long and difficult to comprehend, thus merely serving the goal of legally protecting ... More

Two-type annihilating systems on the complete and star graphAug 08 2019Red and blue particles are placed in equal proportion throughout either the complete or star graph and iteratively sampled to take simple random walk steps. Mutual annihilation occurs when particles with different colors meet. We study the expected number ... More

Energy-based Modeling of AC MotorsSep 26 2016We propose an approach to modeling of AC motors entirely based on analytical mechanics. Symmetry and connection constraints are moreover incorporated in the energy function from which the models are derived. The approach is especially suited to handle ... More

Adding virtual measurements by signal injectionOct 01 2015Mar 19 2016We propose a method to "create" a new measurement output by exciting the system with a high-frequency oscillation. This new "virtual" measurement may be useful to facilitate the design of a suitable control law. The approach is especially interesting ... More

The Contact Process on Periodic TreesAug 06 2018Jan 18 2019A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that the critical values $\lambda_1$ and $\lambda_2$ for global and local survival were different. Here, we will consider the case of trees in which the ... More

A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volumeOct 02 2015We consider a two species process which evolves in an infinite domain in contact with particles reservoirs at different densities,according to the superposition of a generalised contact process and a rapid-stirring dynamics in the bulk of the domain, ... More

A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottleJan 26 2007We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: on the Klein bottle $\mathbb{K}$, the metric of revolution $$g_0= {9+ (1+8\cos ^2v)^2\over 1+8\cos ^2v} (du^2 + {dv^2\over 1+8\cos ^2v}),$$ $0\le ... More

Time-dependent coupled oscillator model for charged particle motion in the presence of a time varyingmagnetic fieldOct 11 2010The dynamics of time-dependent coupled oscillator model for the charged particle motion subjected to a time-dependent external magnetic field is investigated. We used canonical transformation approach for the classical treatment of the system, whereas ... More

Thermodynamical, geometrical and Poincaré methods for charged black holes in presence of quintessenceNov 26 2012Sep 04 2013Properties pertaining to thermodynamical local stability of Reissner-Nordstr\"om black holes surrounded by quintessence as well as adiabatic invariance, adiabatic charging and a generalized Smarr formula are discussed. Limits for the entropy, temperature ... More

Merging supply chain and blockchain technologiesApr 01 2018Jan 23 2019Technology has been playing a major role in our lives. One definition for technology is all the knowledge, products, processes, tools,methods and systems employed in the creation of goods or in providing services.This makes technological innovations raise ... More

Unification of the phonon mode behaviour in semiconductor alloys: Theory and ab initio calculationsSep 06 2007Feb 06 2008We demonstrate how to overcome serious problems in understanding and classification of vibration spectra in semiconductor alloys, following from traditional use of the virtual crystal approximation (VCA). We show that such different systems as InGaAs ... More

Energy-based modeling of electric motorsMar 26 2014We propose a new approach to model electrical machines based on energy considerations and construction symmetries of the motor. We detail the approach on the Permanent-Magnet Synchronous Motor and show that it can be extended to Synchronous Reluctance ... More

Two-type annihilating systems on the complete and star graphAug 08 2019Aug 14 2019Red and blue particles are placed in equal proportion throughout either the complete or star graph and iteratively sampled to take simple random walk steps. Mutual annihilation occurs when particles with different colors meet. We study the expected number ... More

Performance Analysis of M-QAM Multihop Relaying over mmWave Weibull Fading ChannelsOct 26 2016The paper presents a comprehensive closed-form performance analysis framework of multihop cooperative communications as promising schemes in the next generation mmwave systems. As fading channel model, we adopt the advocated Weibull channel for its flexible ... More

Modelling the Incomplete Intermodal Terminal Location ProblemMar 03 2019Mar 09 2019In this paper, we introduce and study the incomplete version of the intermodal terminal location problem. It's a generalization of the classical version by relaxing the assumption that the induced graph by located terminals is complete. We propose a mixed ... More

Notes sur la notion d'invariant caractéristiqueJul 05 2007Let $G$ be a Lie group acting on a vector space $V$. Given a set of $G$-invariants, one can ask the question : does this set of invariants characterize the group $G$ ? We recall here some known results, ask questions and state some conjectures for different ... More

Remarks on the formulation of the cosmological constant/dark energy problemsApr 19 2005Sep 25 2007Associated with the cosmic acceleration are the old and new cosmological constant problems, recently put into the more general context of the dark energy problem. In broad terms, the old problem is related to an unexpected order of magnitude of this component ... More

Photonic Crystal Cavities in Cubic (3C) Polytype Silicon Carbide FilmsOct 08 2013Nov 30 2013We present the design, fabrication, and characterization of high quality factor and small mode volume planar photonic crystal cavities from cubic (3C) thin films (thickness ~ 200 nm) of silicon carbide (SiC) grown epitaxially on a silicon substrate. We ... More

Light Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological ConstantJan 23 2008Dec 03 2008The contribution of the cosmological constant to the deflection angle and the time delays are derived from the integration of the gravitational potential as well as from Fermat's Principle. The findings are in agreement with recent results using exact ... More

Note sur les invariants du groupe affineJul 05 2007In the paper, it is proved that any $C^{1}$-function on GL(n) which is locally $P$-invariant (here $P$ is the affine (sub)group of GL(n)) is locally $G$-invairant. There is also a statement for distributions (a very weak form of Baruch's results).