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Viscosity solution of system of variational inequalities with interconnected bilateral obstacles and connections to multiple modes switching game of jump-diffusion processesJul 17 2015In this paper, we study a general class of nonlinear second-order variational inequalities with interconnected bilateral obstacles with non-local term, related to a multiple modes switching game with jumps. Using systems of penalized unilateral backward ... More

Viscosity solutions of systems of variational inequalities with interconnected bilateral obstacles of non-local typeJul 17 2015Apr 04 2017In this paper, we study systems of nonlinear second-order variational inequalities with interconnected bilateral obstacles with non-local terms. They are of min-max and max-min types and related to a multiple modes zero-sum switching game in the jump-diffusion ... More

Infinite Horizon Stochastic Impulse Control with Delay and Random CoefficientsApr 26 2019May 20 2019We study a class of infinite horizon impulse control problems with execution delay when the dynamics of the system is described by a general adapted stochastic process. The problem is solved by means of probabilistic tools relying on the notion of Snell ... More

Viscosity solutions of second order integral-partial differential equations: A new resultAug 19 2015Sep 03 2016We show existence and uniqueness of a continuous with polynomial growth viscosity solution of a system of second order integral-partial differential equations (IPDEs for short) without assuming the usual monotonicity condition of the generator with respect ... More

Lp-Solutions for Reected Backward Stochastic Differential EquationsJul 11 2008This paper deals with the problem of existence and uniqueness of a solution for a backward stochastic differential equation (BSDE for short) with one reflecting barrier in the case when the terminal value, the generator and the obstacle process are Lp-integrable ... More

The Continuous Time Nonzero-sum Dynkin Game Problem and Application in Game OptionsOct 31 2008In this paper we study the nonzero-sum Dynkin game in continuous time which is a two player non-cooperative game on stopping times. We show that it has a Nash equilibrium point for general stochastic processes. As an application, we consider the problem ... More

The Multi-player Nonzero-sum Dynkin Game in Continuous TimeSep 29 2011In this paper we study the N-player nonzero-sum Dynkin game ($N\geq 3$) in continuous time, which is a non-cooperative game where the strategies are stopping times. We show that the game has a Nash equilibrium point for general payoff processes.

Regularity of Nash payoffs of Markovian nonzero-sum stochastic differential gamesNov 07 2017Oct 23 2018In this paper we deal with the problem of existence of a smooth solution of the Hamilton-Jacobi-Bellman-Isaacs (HJBI for short) system of equations associated with nonzero-sum stochastic differential games. We consider the problem in unbounded domains ... More

The Starting and Stopping Problem under Knightian Uncertainty and Related Systems of Reflected BSDEsOct 04 2007This article deals with the starting and stopping problem under Knightian uncertainty, i.e., roughly speaking, when the probability under which the future evolves is not exactly known. We show that the lower price of a plant submitted to the decisions ... More

Mean-field backward-forward stochastic differential equations and nonzero sum stochastic differential gamesApr 12 2019We study a general class of fully coupled backward-forward stochastic differential equations of mean-field type (MF-BFSDE). We derive existence and uniqueness results for such a system under weak monotonicity assumptions and without the non-degeneracy ... More

The Finite Horizon Optimal Multi-Modes Switching Problem: the Viscosity Solution ApproachMay 09 2008In this paper we show existence and uniqueness of a solution for a system of m variational partial differential inequalities with inter-connected obstacles. This system is the deterministic version of the Verification Theorem of the Markovian optimal ... More

Viscosity Solutions of Systems of Variational Inequalities with Interconnected Bilateral ObstaclesNov 21 2012We study a general class of nonlinear second-order variational inequalities with interconnected bilateral obstacles, related to a multiple modes switching game. Under rather weak assumptions, using systems of penalized unilateral backward SDEs, we construct ... More

Stochastic Impulse Control of Non-Markovian ProcessesJun 17 2008We consider a class of stochastic impulse control problems of general stochastic processes i.e. not necessarily Markovian. Under fairly general conditions we establish existence of an optimal impulse control. We also prove existence of combined optimal ... More

A Generalized Mixed Zero-sum Stochastic Differential Game and Double Barrier Reflected BSDEs with Quadratic Growth CoefficientJul 09 2008Jun 30 2009This article is dedicated to the study of mixed zero-sum two-player stochastic differential games in the situation when the player's cost functionals are modeled by doubly controlled reflected backward stochastic equations with two barriers whose coefficients ... More

A Finite Horizon Optimal Multiple Switching ProblemJul 18 2007We consider the problem of optimal multiple switching in finite horizon, when the state of the system, including the switching costs, is a general adapted stochastic process. The problem is formulated as an extended impulse control problem and completely ... More

Reflected Backward SDEs with General JumpsDec 20 2008Sep 09 2011In the first part of this paper we give a solution for the one-dimensional reflected backward stochastic differential equation (BSDE for short) when the noise is driven by a Brownian motion and an independent Poisson point process. The reflecting process ... More

Infinite Horizon Stochastic Impulse Control with Delay and Random CoefficientsApr 26 2019We study a class of infinite horizon impulse control problems with execution delay when the dynamics of the system is described by a general adapted stochastic process. The problem is solved by means of probabilistic tools relying on the notion of Snell ... More

A note on non-Robba $p$-adic differential equationsMar 25 2011Let $\mathcal{M}$ be a differential module, whose coefficients are analytic elements on an open annulus $I$ ($\subset \bR_{>0}$) in a valued field, complete and algebraically closed of inequal characteristic, and let $R(\mathcal{M}, r)$ be the radius ... More

Generalized Neutrosophic Soft SetMay 13 2013In this paper we present a new concept called generalized neutrosophic soft set. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A. Salama [7]and soft set techniques proposed by Molodtsov [4]. We ... More

Arithmetic differential equations and $E$-functionsNov 12 2005Let $K$ be a number field. We give an arithmetic characterization at infinity of the differential operator of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function.

The Cauchy interlace theorem for symmetrizable matricesMar 14 2016Symmetrizable matrices are those which are symmetric when multiplied by a diagonal matrix with positive entries. The Cauchy interlace theorem states that the eigenvalues of a real symmetric matrix interlace with those of any principal submatrix (obtained ... More

A note on Bernstein property of a fourth order complex partial differential equationsJul 10 2017For a smooth strictly plurisubharmonic function $u$ on a open set $\Omega\subset\mathbb{C}^{n}$ and $F$ a $C^{1}$ nondecreasing function on $\mathbf{R}^{*}_{+}$, we investigate the complex partial differential equations $$\Delta_{g}\log\det(u_{i\bar j})=F(\det(u_{i\bar ... More

Bergman kernel estimates and Toeplitz operators on holomorphic line bundlesJul 06 2017We characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over K\"ahler Cartan-Hadamard manifolds ... More

DNS of Turbulent Flows Laden with Droplets or BubblesApr 07 2018This review focuses on Direct numerical simulations (DNS) of turbulent flows laden with droplets or bubbles. DNS of these flows are more challenging than those of flows laden with solid particles due to the surface deformation in the former. The classification ... More

A random string with reflection in a convex domainApr 07 2010Apr 12 2010We study the motion of a random string in a convex domain $O$ in $\R^d$, namely the solution of a vector-valued stochastic heat equation, confined in the closure of $O$ and reflected at the boundary of $O$. We study the structure of the reflection measure ... More

An arithmetic study of the formal Laplace transform in several variablesMar 24 2011Let $K$ be a number field, and let $K(x_1,...,x_d)$ be the field of rational fractions in the variables $x_1,...,x_d$. In this paper, we introduce two kinds of Laplace transform adapted to solutions of the differential $K(x_1,...,x_d)$-modules with regular ... More

Liouville-type results for stationary maps of a class of functional related to pullback metricsJul 08 2017We study a generalized functional related to the pullback metrics (3). We derive the first variation formula which yield stationary maps. We introduce the stress-energy tensor which is naturally linked to conservation law and yield monotonicity formula ... More

Exemples de composantes irréductibles et non réduites du schéma de Hilbert des courbes lisses et connexes de ${\bf P}^3$ (II)Jan 29 1997Soit $H_{d,g}$ le sch\'ema de Hilbert des courbes lisses et connexes de degr\'e $d$ et genre $g$ de l'espace projectif ${\bf P}^3$ sur un corps $k$ alg\'ebriquement clos de caract\'eristique nulle. Le but principal de cet article est d'exhiber des composantes ... More

A Feature Based Methodology for Variable Requirements Reverse EngineeringApr 28 2019In the past years, software reverse engineering dealt with source code understanding. Nowadays, it is levered to software requirements abstract level, supported by feature model notations, language independent, and simpler than the source code reading. ... More

A Generalization of a Levitin and Parnovski Universal Inequality for EigenvaluesDec 03 2010In this paper, we derive "universal" inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplacian on the Heisenberg group. These inequalities generalize the Levitin-Parnovski ... More

Genetic algorithms for finding the weight enumerator of binary linear block codesMar 18 2013In this paper we present a new method for finding the weight enumerator of binary linear block codes by using genetic algorithms. This method consists in finding the binary weight enumerator of the code and its dual and to create from the famous MacWilliams ... More

Optimization Based Solutions for Control and State Estimation in Non-holonomic Mobile Robots: Stability, Distributed Control, and Relative LocalizationMar 16 2018Interest in designing, manufacturing, and using autonomous robots has been rapidly growing during the most recent decade. The main motivation for this interest is the wide range of potential applications these autonomous systems can serve in. The applications ... More

Turán Type Inequality for The Hahn-Exton $q$-Bessel FunctionsDec 05 2015Dec 11 2015The aim of this paper is to establish Tur\'an -type inequality for the Hahn-Exton $q$-Bessel functions. The result is obtained by the use of limit transition.

Universal inequalities for the eigenvalues of a power of the Laplace operatorJan 28 2010In this paper, we obtain a new abstract formula relating eigenvalues of a self-adjoint operator to two families of symmetric and skew-symmetric operators and their commutators. This formula generalizes earlier ones obtained by Harrell, Stubbe, Hook, Ashbaugh, ... More

Optimal control and zero-sum stochastic differential game problems of mean-field typeMar 19 2016We show existence of an optimal control and a saddle-point for respectively a control problem and zero-sum differential game associated with payoff functionals of mean field type, under dynamics driven by weak solutions of stochastic differential equations ... More

Optimal control and zero-sum stochastic differential game problems of mean-field typeMar 19 2016Nov 30 2016We show existence of an optimal control and a saddle-point for respectively a control problem and zero-sum differential game associated with payoff functionals of mean field type, under dynamics driven by weak solutions of stochastic differential equations ... More

Intuitionistic Neutrosophic Soft SetNov 14 2013In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic ... More

A mixed problem for a Boussinesq hyperbolic equation with integral conditionNov 15 2008A hyperbolic problem wich combines a classical(Dirichlet) and a non-local contraint is considered.The existence and uniqueness of strong solutions are proved,we use a functionnal analysis method based on a priori estimate and on the density of the range ... More

Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary conditionSep 08 2006Sep 20 2006We prove the existence and the uniqueness of strong solutions for the viscous Hamilton-Jacobi Equation with Neumann boundary condition and initial data a continious function. Then, we study the large time behavior of the solutions.

Pseudo-euclidean Jordan algebrasNov 22 2008A Jordan algebra J is said to be pseudo-euclidean if J is endowed with an associative non-degenerate symmetric bilinear form B. B is said an associative scalar product on J. First, we provide a description of the pseudo-euclidean Jordan K-algebras in ... More

Reconstruction from scalar-tensor theory and the inhomogeneous equation of state in f(T) GravityDec 19 2017General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleprallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R) gravity, on taking ... More

Some identities involving Appell polynomialsSep 12 2017In this papier, by the classical umbral calculus method, we establish identities involving the Appell polynomials and extend some existing identities.

Optimal control and zero-sum stochastic differential game problems of mean-field typeMar 19 2016Jul 22 2017We establish existence of nearly-optimal controls, conditions for existence of an optimal control and a saddle-point for respectively a control problem and zero-sum differential game associated with payoff functionals of mean-field type, under dynamics ... More

Kramers-Fokker-Planck operators with homogeneous potentialsMay 17 2019In this article we establish a global subelliptic estimate for Kramers-Fokker-Planck operators with homogeneous potentials $V(q)$ under some conditions, involving in particular the control of the eigenvalues of the Hessian matrix of the potential. Namely, ... More

Fast, asymptotically efficient, recursive estimation in a Riemannian manifoldMay 17 2018Aug 13 2018Stochastic optimisation in Riemannian manifolds, especially the Riemannian stochastic gradient method, has attracted much recent attention. The present work applies stochastic optimisation to the task of recursive estimation of a statistical parameter ... More

Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear formJul 04 2017Jun 12 2018A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form will be called a NIS-Lie (super)algebra. The double extension of a NIS-Lie (super)algebra is the result of simultaneously adding to it a central element and an outer derivation ... More

Classification of quadratic Lie algebras of low dimensionApr 21 2014In this paper we give the classification of the irreducible non solvable Lie algebras of dimensions $\leq 13$ with nondegenerate, symmetric and invariant bilinear forms.

Condensation of DeterminantsDec 05 2007In this paper we tried to condense the determinant of n square matrix to the determinant of (n - 1) square matrix with the mathematical proof.

Warped metrics for location-scale modelsFeb 23 2017This paper argues that a class of Riemannian metrics, called warped metrics, plays a fundamental role in statistical problems involving location-scale models. The paper reports three new results : i) the Rao-Fisher metric of any location-scale model is ... More

A Genetic Framework Model For Self-Adaptive SoftwareApr 29 2019Lots of bio-inspired research works have been conducted in self-adaptive software. They have focused on the external behavior of biological entities without their genetic material that causes this behavior and constitutes the challenge this work dealt ... More

Virtual Endomorphisms of Nilpotent GroupsFeb 07 2006Oct 12 2006A virtual endomorphism of a group G is a homomorphism f from H into G where H is a subgroup of G of finite index m. The triple (G,H,f) produces a state-closed (or, self-similar) representation t of G on the 1-rooted m-ary tree. This paper is a study of ... More

Quaternionic structure and analysis of some Kramers-Fokker-Planck operatorsJul 05 2018The present article is concerned with global subelliptic estimates for Kramers-Fokker-Planck operators with polynomials of degree less than or equal to two. The constants appearing in those estimates are accurately formulated in terms of the coefficients ... More

Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay termJun 05 2012In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay term in the feedback is less than the weight of the term ... More

Exponential decay for solutions to semilinear damped wave equationDec 18 2008Jun 02 2010This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Introducing an appropriate Lyaponuv function, we prove that when the damping is linear, we can find initial data, for which ... More

Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditionsNov 17 2008Jul 16 2011In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solutions starting in a stable set are proved. Blow up for solutions of the ... More

Bio-inspired Requirements Variability Modeling with Use CaseApr 05 2019Background. Feature Model (FM) is the most important technique used to manage the variability through products in Software Product Lines (SPLs). Often, the SPLs requirements variability is by using variable use case model which is a real challenge in ... More

On the Feasibility of Generic Deep Disaggregation for Single-Load ExtractionFeb 05 2018Recently, and with the growing development of big energy datasets, data-driven learning techniques began to represent a potential solution to the energy disaggregation problem outperforming engineered and hand-crafted models. However, most proposed deep ... More

The two-sided Gabor quaternion Fourier transform and some uncertainty principlesNov 30 2018In this paper, we define a new transform called the Gabor quaternionic Fourier transform (GQFT), which generalizes the classical windowed Fourier transform to quaternion valued-signals, we give several important properties such as the Plancherel formula ... More

Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditionsOct 06 2008In this paper we consider a multi-dimensional damped semiliear wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local existence by using the Faedo-Galerkin approximations combined with a contraction ... More

Semistar linkedness and flatness, Prüfer semistar multiplication domainsMay 23 2003In 1994, Matsuda and Okabe introduced the notion of semistar operation, extending the "classical" concept of star operation. In this paper, we introduce and study the notions of semistar linkedness and semistar flatness which are natural generalizations, ... More

The (r1,...,rp)-Bell polynomialsDec 13 2012Aug 09 2013In a previous paper, Mihoubi et al. introduced the $(r_{1},...,r_{p}) $-Stirling numbers and the $(r_{1},...,r_{p}) $-Bell polynomials and gave some of their combinatorial and algebraic properties. These numbers and polynomials generalize, respectively, ... More

Higher Order Statistsics of Stokes Parameters in a Random Birefringent MediumMay 14 2007Jun 18 2007We present a new model for the propagation of polarized light in a random birefringent medium. This model is based on a decomposition of the higher order statistics of the reduced Stokes parameters along the irreducible representations of the rotation ... More

Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasoundMar 14 2016In this paper, we study the Moore--Gibson--Thompson equation in $\mathbb{R}^N$, which is a third order in time equation that arises in viscous thermally relaxing fluids and also in viscoelastic materials (then under the name of \emph{standard linear viscoelastic} ... More

The Continuous quaternion Algebra-Valued Wavelet Transform and the Associated Uncertainty PrincipleFeb 22 2019The purpose of this article is to extend the wavelet transform to quaternion algebra using the kernel of the two-sided quaternion Fourier transform (QFT). We study some fundamental properties of this extension such as scaling, translation, rotation, Parseval's ... More

Robust control of entanglement in a Nitrogen-vacancy centre coupled to a Carbon-13 nuclear spin in diamondMar 23 2009We address a problem of generating a robust entangling gate between electronic and nuclear spins in the system of a single nitrogen-vacany centre coupled to a nearest Carbon-13 atom in diamond against certain types of systematic errors such as pulse-length ... More

Growth factor in $f(T,\mathcal{T})$ gravityDec 03 2016We investigate the growth factor for sub-horizon modes during late times in $f(T,\mathcal{T})$ gravity, where $T$ is the torsion scalar and $\mathcal{T}$ is the trace of the stress-energy tensor. This is achieved by obtaining the modified M\'{e}sz\'{a}ros ... More

Equations différentielles $p$-adiques et Séries Gevrey arithmétiquesNov 12 2005Let $K$ be a number field. This paper is devoted to a $p$-adic study of the algebraic differential equation of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function. Precisely, we prove a conjecture of yves Andr\'e (conjecture 4.7 of ... More

Connectedness in the Pluri-fine TopologyJan 30 2008We study connectedness in the pluri-fine topology on $\CC^n$ and obtain the following results. If $\Omega$ is a pluri-finely open and pluri-finely connected set in $\CC^n$ and $E\subset\CC^n$ is pluripolar, then $\Omega\setminus E$ is pluri-finely connected. ... More

Gravitomagnetic effects in quadratic gravity with a scalar fieldOct 10 2016The two gravitomagnetic effects which influence bodies orbiting around a gravitational source are the geodetic effect and the Lense-Thirring effect. The former describes the precession angle of the axis of a spinning gyroscope while in orbit around a ... More

Uniqueness of solutions to the Schrodinger equation on the Heisenberg groupJun 28 2010This paper deals with the Schr{\"o}dinger equation $i\partial_s u({\bf z},t;s)-\cal L u({\bf z}, t;s)=0,$ where $\cal L$ is the sub-Laplacian on the Heisenberg group. Assume that the initial data $f$ satisfies $| f({\bf z},t)| \leq C q_a({\bf z},t),$ ... More

Miyachi's Theorem for the Quaternion Fourier TransformNov 20 2017The quaternion Fourier transform (QFT) satisfies some uncertainty principles similar to the Euclidean Fourier transform. In this paper, we establish Miyachi's theorem for this transform.

Cohomology of infinite groups realizing fusion systemsJan 02 2019Given a fusion system $\mathcal{F}$ defined on a $p$-group $S$, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize $\mathcal{F}$. We study these models when $\mathcal{F}$ is a fusion system of a finite group ... More

Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomialDec 17 2018In this article we study some Kramers-Fokker-Planck operators with polynomial potential V (q) with degree greater than two having quadratic limiting behavior. This work provide accurate global Subelliptic estimates for KFP operators under some conditions ... More

On Classification of Finite-Dimensional Superbialgebras and Hopf SuperalgebrasJan 04 2013Jan 02 2014The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras in dimension $n$ with $n\leq 4$. ... More

Requirements variability specification for data intensive softwareApr 28 2019Nowadays, the use of feature modeling technique, in software requirements specification, increased the variation support in Data Intensive Software Product Lines (DISPLs) requirements modeling. It is considered the easiest and the most efficient way to ... More

Existence of Nash Equilibrium Points for Markovian Nonzero-sum Stochastic Differential Games with Unbounded CoefficientsAug 27 2013Aug 05 2014This paper is related to nonzero-sum stochastic differential games in the Markovian framework. We show existence of a Nash equilibrium point for the game when the drift is no longer bounded and only satisfies a linear growth condition. The main tool is ... More

Neutrosophic soft sets and neutrosophic soft matrices based on decision makingApr 02 2014Maji\cite{maj-13}, firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions ... More

Mutation Analysis for SecuritySep 24 2013Security has become, nowadays, a major concern for the organizations as the majority of its applications are exposed to Internet, which increases the threats of security considerably. Thus, the solution is to improve tools and mechanisms to strengthen ... More

Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomialsDec 17 2018May 27 2019In this article we study some Kramers-Fokker-Planck operators with a polynomial potential $V(q)$ of degree greater than two having quadratic limiting behavior. This work provides an accurate global subelliptic estimate for KFP operators under some conditions ... More

"Universal" inequalities for the eigenvalues of the biharmonic operatorJan 27 2010In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and quaternionic projective spaces. We also prove similar results for the biharmonic ... More

A Continuum Description of Failure WavesDec 15 2016May 05 2017Shattering of a brittle material such as glass occurs dynamically through a propagating failure wave, which however, can not be assigned to any of the classical waves of the elasto-plastic theories of materials. Such failure waves have been a topic of ... More

Some applications of the chromatic polynomialsFeb 04 2014The chromatic polynomials are studied by several authors and have important applications in different frameworks, specially, in graph theory and enumerative combinatorics. The aim of this work is to establish some properties of the coefficients of the ... More

Galactic Rotation Dynamics in f(T) gravityJun 25 2018We investigate galactic rotation curves in $f(T)$ gravity, where $T$ represents a torsional quantity. Our study centers on the particular Lagrangian $f(T)=T+\alpha{T^n}$, where $|n|\neq 1$ and $\alpha$ is a small unknown constant. To do this we treat ... More

Beurling's Theorem for the Two-sided Quaternion Fourier TransformNov 11 2017The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem, Hardy, Cowling-Price and Gelfand-Shilov theorems, is obtained for the two-sided quaternion ... More

Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditionsFeb 17 2013The goal of this work is to study a model of the wave equation with dynamic boundary conditions and a viscoelastic term. First, applying the Faedo-Galerkin method combined with the fixed point theorem, we show the existence and uniqueness of a local in ... More

A Perturbative Approach to Neutron Stars in $f(T, \mathcal{T})-$GravityApr 10 2017We derive a Tolman-Oppenheimer-Volkoff equation in neutron star systems within the modified $f(T, \mathcal{T})$-gravity class of models using a perturbative approach. In our approach $f(T, \mathcal{T})$-gravity is considered to be a static spherically ... More

Secure Cloud Computing through Homomorphic EncryptionSep 02 2014Go to the cloud, has always been the dream of man. Cloud Computing offers a number of benefits and services to its customers who pay the use of hardware and software resources (servers hosted in data centers, applications, software...) on demand which ... More

Laplacian eigenvalues functionals and metric deformations on compact manifoldsJan 26 2007In this paper, we investigate critical points of the Laplacian's eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a compact manifold. We obtain necessary and sufficient conditions for a metric ... More

The Automorphism Tower of Groups acting on Rooted TreesAug 13 2003Mar 14 2006The group of isometries W of a regular rooted tree, and many of its subgroups with branching structure, have groups of automorphisms induced by conjugation in W. This fact has stimulated the computation of the group of automorphisms of such well-known ... More

A heat kernel version of Miyachi's Theorem for the Laguerre hypergroupDec 05 2018Let $\mathbb{K}=[0,+\infty[\times\mathbb{R}$ the Laguerre Hypergroup. In this paper, we are going to formulate and prove an analogue of Miyachi's uncertainty principle for the Laguerre-Hypergroup Fourier transform. Our version will be in terms of the ... More

The uncertainty principle for the two-sided quaternion Fourier transformSep 19 2017In this paper, we provide the Heisenberg's inequality and the Hardy's theorem for the two-sided quaternion Fourier transform.

Self-similar products of groupsMay 12 2018We address the problem of determining the class of self-similar groups, and in particular its closure under restricted direct products. We show that the group $\mathbb Z^{(\omega)}$ is self-similar, that $G^{(\omega)}\rtimes C_2$ is self-similar whenever ... More

Continuity Properties of Finely Plurisubharmonic Functions and pluripolarityJun 11 2009We prove that every bounded finely plurisubharmonic function can be locally (in the pluri-fine topology) written as the difference of two usual plurisubharmonic functions. As a consequence finely plurisubharmonic functions are continuous with respect ... More

Uncertainty Principles For the continuous Gabor quaternion linear canonical transformJun 06 2019Gabor transform is one of the performed tools for time-frequency signal analysis. The principal aim of this paper is to generalize the Gabor Fourier transform to the quaternion linear canonical transform. Actually, this transform gives us more flexibility ... More

Ring-theoretic properties of PVMDsJul 05 2006We extend to Pr\"ufer $v$-multiplication domains some distinguished ring-theoretic properties of Pr\"ufer domains. In particular we consider the $t##$-property, the $t$-radical trace property, $w$-divisoriality and $w$-stability.

w-Divisorial DomainsDec 22 2004We study the class of domains in which each w-ideal is divisorial, extending several properties of divisorial and totally divisorial domains to a much wider class of domains. In particular we consider PvMDs and Mori domains.

Double extensions of restricted Lie (super)algebrasOct 07 2018Apr 30 2019A double extension ($\mathscr{D}$-extension) of a Lie (super)algebra $\mathfrak{a}$ with a non-degenerate invariant supersymmetric bilinear form $\mathscr{B}$, briefly a NIS-(super)algebra, is an enlargement of $\mathfrak{a}$ by means of a central extension ... More

Bilinear residual Neural Network for the identification and forecasting of dynamical systemsDec 19 2017Due to the increasing availability of large-scale observation and simulation datasets, data-driven representations arise as efficient and relevant computation representations of dynamical systems for a wide range of applications, where model-driven models ... More

Exact fuzzy solution of the fuzzy heat-like equationsMay 12 2013In this paper, the Buckley-Feuring method (BFM) and the variational iteration method (VIM) are used for find exact fuzzy solution of the fuzzy heat-like equations in one and two dimensions. Several examples are given to show the new theorem of Buckley-Feuring ... More

On SAT Models Enumeration in Itemset MiningJun 08 2015Frequent itemset mining is an essential part of data analysis and data mining. Recent works propose interesting SAT-based encodings for the problem of discovering frequent itemsets. Our aim in this work is to define strategies for adapting SAT solvers ... More