Mahouton Norbert Hounkonnou

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• DSc., Full Professor
• Professor (Full) at University of Abomey-Calavi

This study explores handle slide operations on ribbon graphs and [Formula: see text]-matroids. We focus on binary [Formula: see text]-matroids and demonstrate the universality property of the Bollobás–Riordan polynomial in this setting.

In this paper, a stochastic continuous-time Markov chain (CTMC) model is developed and analyzed to explore the dynamics of cholera. The multitype branching process is used to compute a stochastic threshold for the CTMC model. Latin hypercube sampling/partial rank correlation coefficient (LHS/PRCC) sensitivity analysis methods are implemented to der...

The infection by SARS-CoV-2 appeared for the first time in 2019, and several factors that influenced its spread remain unclear. Although many studies investigated the seasonality of this infection, most of the findings are controversial across time and geographical space, highlighting the need for further research, particularly in Africa, where the...

The state and dynamics of the oceans and seas that surround Africa are changing at an increasing pace due to anthropogenic pressures. The livelihoods of many Africans depend on fishing and ocean- driven monsoon rains, and some African coastlines are eroding rapidly, potentially with catastrophic results to populations and infrastructure. Yet few Af...

We investigate a class of generalized coherent states for associated Jacobi polynomials and hypergeometric functions, satisfying the resolution of the identity with respect to a weight function expressed in terms of Meijer’s G-function. We extend the state Hilbert space of the constructed states and discuss the property of the reproducing kernel an...

Our main goal is to provide a clear, understandable picture of constructive semi-groups with apartness for both (classical) algebraists and those applying algebraic knowledge. This paper will shed light on our results obtained over the last decades.

Описаны геометрические и вероятностные свойства некоммутативного $2$-тора в магнитном поле. С помощью операторного метода возмущения магнитного лапласиана внутренним дифференцированием исследована инвариантность относительно данного возмущения объема некоммутативного $2$-тора, а также его интегральной скалярной кривизны и формы объема. Проведен ана...

Background: Spatial and temporal identification of malaria-endemic areas is a key component of vector-borne disease control. Strategies to target the most vulnerable populations, the periods of high transmission and the most affected geographical areas, should make vector-borne disease control and prevention programmes more cost-effective. The pres...

In our research, we broaden the scope of Fourier-Stieltjes transforms to encompass locally compact groups, denoted as G. We achieve this extension by leveraging the induced representation from a closed subgroup K. From this, we deduce the Fourier transformf of a Haar-integrable function f defined on G. Specifically, we expressf as the Fourier-Stiel...

In our research, we broaden the scope of Fourier-Stieltjes transforms to encompass locally compact groups, denoted as G. We achieve this extension by leveraging the induced representation from a closed subgroup K. From this, we deduce the Fourier transformf of a Haar-integrable function f defined on G. Specifically, we expressf as the Fourier-Stiel...

The properties of an electron weakly coupled to longitudinal acoustic phonon in asymmetrical Gaussian confinement potential quantum well (AGCPQW) subjected to magnetic field and coulombic impurity has been investigated using the Lee-Low-Pines (LLP) transformation. The ground state energy (GSE) and the related binding energy of acoustic polaron have...

In this opening chapter, we reflect on the nature of mathematics and its contribution to society through two important ways of doing mathematics: advancing the field of mathematics as a discipline in its own right and developing applications of mathematics across the many other fields of human inquiry. We begin by discussing the productive interact...

booklet September 6-8 R. Lidl, G. Pilz, Applied abstract algebra, Springer, 1998 camfmen.masfak.ni.ac.rs www.cipma.net

The partially and totally (co)associative ternary (co) algebras, and infinitesimal bialgebras are constructed and discussed. Their trimodules and matched pairs are defined and completely characterized. Main structural properties and relations are also deduced and analyzed. In addition, the partially and totally hom-coassociative ternary coalgebras...

We define new velocity and acceleration having dimension of (Length)^{\alpha}/(Time) ( L e n g t h ) α / ( T i m e ) and (Length)^{\alpha}/(Time)^2, ( L e n g t h ) α / ( T i m e ) 2 , respectively, based on the fractional addition rule. We discuss the formulation of fractional Newton mechanics, Galilean relativity and special relativity in the sam...

We gave some applications of the $p-$adic R($\rho,q) beta and gamma functions and it connections with $p-$adic amplitude and string theory

Constructions of n-ary bialgebras and n-ary infinitesimal bialgebras of associative type and their hom-analogs, generalizing the hom-bialgebras and infinitesimal hom-bialgebras are investigated. Main algebraic characteristics of n-ary totally, n-ary weak totally, n-ary partially and n-ary alternate partially associative algebras and bialgebras, and...

This paper addresses a Hom-associative algebra built as a direct sum of a given Hom-associative algebra \((\mathcal {A}, \cdot , \alpha )\) and its dual \((\mathcal {A}^{*}, \circ , \alpha ^{*}),\) endowed with a non-degenerate symmetric bilinear form \(\mathcal {B},\) where \(\cdot \) and \(\circ \) are the products defined on \(\mathcal {A}\) and...

2023 The International Conference on Mathematical Analysis, Applications and Computational Simulation (ICMAACS 2023) is aimed to provide a high-level platform where mathematicians and scientists exchange recent developments, discoveries, and progress in Pure and Applied Mathematics and Their Applications in real-world problems. Its aim is to create...

We showed that fermion Spin Lie groups are p−adic, and demonstarted the connection of the spin(1/2) with Iwasawa algebras. We have also defined the p−adic zeta function for spin(1/2) and extended the p−adic integral (Fermionic and Bosonic due to T. Kim) quantum calculus to R(p, q)−deformation and we also did an application to p−adic R(ρ, q)−gamma...

This paper addresses the construction of Cauchy operators and related identities from R( p,q )-deformed quantum algebras. The generating function, Mehler and Rogers formulae, and their extended identities for the homogeneous Rogers-Szegö polynomials are computed and discussed. Relevant particular identities extracted from known quantum algebras are...

In this work, we address the $p$-adic analogues of the fermion spin Lie algebras and Lie groups. We consider the extension of the fermion spin Lie groups and Lie algebras to the $p-$adic Lie groups and investigate the way to extend their integral to the zeta function as well. We show that their groups are ghost friendly. In addition, we develop the...

This chapter aims to provide a clear and understandable picture of constructive semigroups with apartness in Bishop’s style of constructive mathematics, BISH. Our theory is partly inspired by the classical case, but it is distinguished from it in two significant aspects: we use intuitionistic logic rather than classical throughout; our work is base...

The problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics is derived, which leads to a modified Newton second law. Conformable momentum and Laplace-Runge-Lenz vectors are considered, generating $SO(3), SO(4),$ and $SO(1, 3)$ dyna...

In this paper, we provide a novel generalization of quantum orthogonal polynomials from [Formula: see text]-deformed quantum algebras introduced in earlier works. We construct related quantum Jacobi polynomials and their probability distribution, factorial moments, recurrence relation, and governing difference equation. Surprisingly, these polynomi...

In this paper, we characterize the multivariate uniform probability distribution of the first and second kinds in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Their bivariate distributions and related properties, namely ($\mathcal{R}(p,q)$-mean, $\mathcal{R}(p,q)$-variance and $\mathcal{R}(p,q)$-covariance) are computed and di...

This chapter aims to provide a clear and understandable picture of constructive semigroups with apartness in Bishop's style of constructive mathematics, BISH. Our theory is partly inspired by the classical case, but it is distinguished from it in two significant aspects: we use intuitionistic logic rather than classical throughout; our work is base...

In continuation of our previous works J. Phys. A: Math. Gen. 35, 9355-9365 (2002), J. Phys. A: Math. Gen. 38, 7851 (2005) and Eur. Phys. J. D 72, 172 (2018), we investigate a class of generalized coherent states for associated Jacobi polynomials and hypergeometric functions, satisfying the resolution of the identity with respect to a weight functio...

This work is one of the analytical approaches to evaluate the evaporation frequency response of injected droplets, using the Heidmann analogy of a single droplet that is continuously fed with the same liquid fuel. Based on a linear analysis using the Rayleigh criterion, a dimensionless response factor is determined. The effects due to the variation...

We relate how at the end of the 18th century, a discovery linked to combustion, could challenge the idea that we had about constituents of matter and lead to revolutionize chemistry. A correct interpretation of this discovery had to be found and for that to question existing theories and dogmas. It then took a fundamental reflection on experimental...

In this paper, we prove the first Heine’s transformation formula using q-difference equations. Main relevant identities such as q-Binomial theorem and $q$-Difference operator are also considered.

Motivated by our recent work published in [23], we achieve, in this paper, a matrix formulation of the density operator to construct a two-component vector coherent state representation for a supersymmetric harmonic oscillator. We investigate and discuss the main relevant statistical properties. We use the completeness relation to perform the therm...

This work addresses an extension of Fourier-Stieltjes transform of a vector measure defined on compact groups to locally compact groups, by using a group representation induced by a representation of one of its compact subgroups.

In this paper, we focus on the characterization of Lie algebras of fermionic, bosonic and parastatistic operators of spin particles. We provide a method to construct a Lie group structure for the quantum spin particles. We show the semi-simplicity of the Lie algebra for a quantum spin particle, and extend the results to the Lie group level. Besides...

Изучается гамильтонова динамика космического аппарата на фоне метрик Алькубьерре и Гeделя. Получены гамильтоновы векторные поля, управляющие эволюцией системы, построены и обсуждаются операторы рекурсии, порождающие константы движения. Кроме того, описаны соответствующие мастер-симметрии.

Background: Stunting is a public health issue in many low and middle income countries. The role played by exclusive breastfeeding practice (EBF) and water source (WS) used by the mothers in stunting reduction needs to be more clarified. Objective: To test whether EBF and WS are moderators or mediators of participation in Nutrition at Centre (N@C) p...

We investigated the ground state energy (GSE), ground state mobility (GSM), ground state lifetime (GSL), effective mass of acoustic polaron in free -standing slab using Pekar variational method. The influence of the electron and longitudinal acoustic phonon interaction, the slab thickness on the dynamics of acoustic polaron is highlighted. We showe...

We study the Hamiltonian dynamics of a spaceship in the background of Alcubierre and Gödel metrics. We derive the Hamiltonian vector fields governing the system evolution, construct and discuss related recursion operators generating the constants of motion. Besides, we characterize relevant master symmetries.

We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulting manifold. We infer that the related Hamiltonian vector field is an infinitesimal Noether symmetry, and compute the corresponding deformed recursion operator. Besides,...

We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulting manifold. We infer that the related Hamiltonian vector field is an infinitesimal Noether symmetry, and compute the corresponding deformed recursion operator. Besides,...

In this chapter, the authors examine the oscillatory temperature field of a spherical drop in evaporation. The motionless drop is fed continuously at the center so that it maintains a constant volume during the process. It is known that evaporation may amplify high‐frequency acoustic perturbations arising from the rocket engine and damage the rocke...

This paper has several purposes. We present through a critical review the results from already published papers on the constructive semigroup theory, and contribute to its further development by giving solutions to open problems. We also draw attention to its possible applications in other (constructive) mathematics disciplines, in computer science...

In this work we extend the Fourier-Stieltjes transform of a vector measure and a continuous function defined on compact groups to locally compact groups. To do so, we consider a representation L of a normal compact subgroup K of a locally compact group G, and we use a representation of G induced by that of L. Then, we define the Fourier-Stieltjes t...

We study the Hamiltonian dynamics of a spaceship in the background of Alcubierre and G\"odel metrics. We derive the Hamiltonian vector fields governing the system evolution, construct and discuss related recursion operators generating the constants of motion. Besides, we characterize relevant master symmetries.

In this paper, we use the generalized q-polynomials with double q-binomial coefficients and homogeneous q-operators [J. Difference Equ. Appl. 20 (2014), 837--851.] to construct q-difference equations with seven variables, which generalize recent works of Jia et al [Symmetry 2021, 13, 1222.]. In addition, we derive Rogers formulas, extended Rogers f...

We investigate the dynamics and decoherence of the exciton polaron in a 2D transition metal dichalcogenides modulated by a magnetic field barrier. Using the Huybrechts method and an approximate diagonalization of exciton-phonon operators is performed to derive the fundamental energy, the first excited state energy, the effective mass and the mobili...

The density operator representation in the context of multi-matrix vector coherent states basis is performed and applied to Landau levels of an electron in an electromagnetic field coupled to an isotropic harmonic potential. Main relevant statistical properties such as the Mandel Q-parameter and the signal-to-quantum-noise ratio are derived and dis...

The vaporisation frequency response due to pressure oscillations is analysed for a spray of repetitively injected drops into a combustion chamber. In the Heidmann analogy, this vaporizing spray is represented by the so-called ‘mean droplet’, which is a continuously fed spherical droplet at rest inside the combustion chamber. Only radial thermal con...

The Bollobás–Riordan (BR) polynomial [(2002), Math. Ann. 323 81] is a universal polynomial invariant for ribbon graphs. We find an extension of this polynomial for a particular family of combinatorial objects, called rank 3 weakly coloured stranded graphs. Stranded graphs arise in the study of tensor models for quantum gravity in physics, and gener...

A recursion operator for a geodesic flow, in a noncommutative (NC) phase space endowed with a Minkowski metric, is constructed and discussed in this work. A NC Hamiltonian function $\mathcal{H}_{nc}$ describing the dynamics of a free particle system in such a phase space, equipped with a noncommutative symplectic form $\omega_{nc}$ is defined. A re...

This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used to compute the integrals of motion. The same investigation is performed with the introduction of the Laplace-Runge-Lenz vector. The existence of quasi-bi-Hamiltonian stru...

Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating $SO(3),$ $SO(4),$ and $SO(1,3)$ dynamical symmetry groups. The Hamiltonian vector field is derived in action-angle coordinates, and the existence of a hierarchy of bi-Hamiltonian structures is highlighted. Then, a family of Nijenhuis recursion operators is comp...

Particularly cool sea surface temperatures (SSTs) were observed in 2012 along the Northern Gulf of Guinea coast. This strong cooling event was seen from February to June and reached maxima in the coastal upwelling areas: SST anomalies of −1°C were observed in Sassandra Upwelling area in Côte d'Ivoire (SUC, situated east of Cape Palmas) and SST anom...

We establish a bialgebra theory for anti-flexible algebras in this paper. We introduce the notion of an anti-flexible bialgebra which is equivalent to a Manin triple of anti-flexible algebras. The study of a special case of anti-flexible bialgebras leads to the introduction of anti-flexible Yang–Baxter equation in an anti-flexible algebra which is...

The history of nonassociative algebraic structures can be traced at least to the middle of the 19th century. Today, the theory of nonassociative algebraic structures is an enormously broad and greatly advanced area. Interesting new algebraic ideas arise, with challenging opportunities to discover connections to other areas of mathematics, natural s...

So if you asked me: why do mathematics? I would say: mathematics helps people flourish. Mathematics is for human flourishing. Because we are not mathematical machines. We live, we breathe, we feel, we bleed. Why should anyone care about mathematics if it doesn't connect deeply to some human desire: to play, seek truth, pursue beauty, fight for just...

Построены интегралы движения из некоммутативной кеплеровой динамики, порождающие динамические группы симметрий $SO(3)$, $SO(4)$ и $SO(1,3)$. Получено гамильтоново векторное поле в переменных действие-угол и показано существование иерархии бигамильтоновых структур. Вычислено и обсуждается семейство рекурсивных операторов Нейенхейса.

Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating SO(3), SO(4), and SO(1, 3) dynamical symmetry groups. The Hamiltonian vector field is derived in action-angle coordinates, and the existence of a hierarchy of bi-Hamiltonian structures is highlighted. Then, a family of Nijenhuis recursion operators is computed...

In this work, we use the variational method to investigate thermal properties and optical absorption of polaron in monolayer graphene under laser field. We have shown that the energies and the optical absorption of the system strongly depend on laser parameters and graphene characteristics. We found that the simple model adopted to calculate the op...

In this work, we are studying thermodynamics properties and optical absorption of bipolaron in graphene under a laser field using the variational method. We obtain the ground and first excited states of the bipolaron which strongly depend on laser parameter and graphene characteristics. It is seen that the optical absorption of a bipolaron in graph...

This work investigates the cumulative effects of fluctuations of order parameters and magnetoelectric coupling on the two-dimensional RMnO3 (R = Tb, Lu and Y). The study is carried out through a modified Landau model resulting from microscopic considerations. It is shown that during the transition from the paramagnetic (paraelectric) to ferromagnet...

In this work, the density operator diagonal representation in the coherent states basis, known as the Glauber–Sudarshan-P representation, is used to study harmonic oscillator quantum systems and models of spinless electrons moving in a two-dimensional noncommutative space, subject to a magnetic field background coupled with a harmonic oscillator. R...

This work treats entropy and heat capacity of a monolayer transition metal dichalcogenide quantum dot under magnetic field using the canonical ensemble approach. We consider four following TMDs: MoSe2, MoS2, WSe2 and WS2. At low temperature heat capacity increases steadily, shows a shoulder and thereafter becomes constant for high temperatures. MoS...

We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg–de Vries equations from known [Formula: see text]-deformed quantum algebras previously introduced in J. Math. Phys. 51 (2010) 063518. Related relevant properties are investigated and discussed. Besides, we construct the [Formula: see text]-deformed Witt...

WEBINAR camfmen.masfak.ni.ac.rs www.cipma.net "So if you asked me: why do mathematics? I would say: mathematics helps people flourish. Mathematics is for human flourishing. Because we are not mathematical machines. We live, we breathe, we feel, we bleed. Why should anyone care about mathematics if it doesn't connect deeply to some human desire: to...

WEBINAR camfmen.masfak.ni.ac.rs www.cipma.net "So if you asked me: why do mathematics? I would say: mathematics helps people flourish. Mathematics is for human flourishing. Because we are not mathematical machines. We live, we breathe, we feel, we bleed. Why should anyone care about mathematics if it doesn't connect deeply to some human desire: to...

From the definition and properties of unital hom-associative algebras, and the use of the Kaplansky’s construction, we develop algebraic structures called 2-hom-associative bialgebras, 2-hom-bialgebras, and 2-2-hom-bialgebras. Besides, we define and characterize the hom-associative dialgebras, hom-Leibniz algebra and hom-left symmetric dialgebras,...

This paper addresses a Hom-associative algebra built as a direct sum of a given Hom-associative algebra $(\mathcal{A}, \cdot, \alpha)$ and its dual $(\mathcal{A}^{\ast}, \circ, \alpha^{\ast}),$ endowed with a non-degenerate symmetric bilinear form $\mathcal{B},$ where $\cdot$ and $\circ$ are the products defined on $\mathcal{A}$ and $\mathcal{A}^{\...

We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum algebras previously introduced in J. Math. Phys. 51, 063518, (2010). Related relevant properties are investigated and discussed. Besides, we construct the R(p,q)-deformed Witt n- algebra, and determin...

This paper has several purposes. We present through a critical review the results from already published papers on the constructive semigroup theory, and contribute to its further development by giving solutions to open problems. We also draw attention to its possible applications in other (constructive) mathematics disciplines, in computer science...

(1) If spin (n) is a double cover of SO (n) group, what is the cover of spin (2) and what is also the cover for spin (1/2) are they both related? (2) Is it possible to construct the Iwasawa decomposition at both the Lie algebra and Lie group levels of the spin particles ?

In the present paper, the thermodynamics of three-dimensional impurity magnetopolaron under strong parabolic potential is investigated. To this aim, we first analytically solved the Schrodinger equation to have the complete energy spectrum in the presence of spin–orbit interaction. We equally use the canonical ensemble approach to obtain the partit...

In this paper, we focus on the characterization of Lie algebras of fermionic, bosonic and parastatistic operators of spin particles. We provide a method to construct a Lie group structure for the quantum spin particles. We show the semi-simplicity of a quantum spin particle Lie algebra, and extend the results to the Lie group level. Besides, we per...

In this paper, we define a new velocity having a dimension of $(Length)^{\alpha}/(Time)$ and a new acceleration having a dimension of $(Length)^{\alpha}/(Time)^2$, based on the fractional addition rule. We then discuss the fractional mechanics in one dimension. We show the conservation of fractional energy, and formulate the Hamiltonian formalism f...

This work is devoted to a theoretical analysis of mass frequency response to pressure oscillations of a spray of repetitively injected drops into a combustion chamber. A single stationary spherical droplet continuously fed with the same liquid fuel so that its volume remains constant despite the evaporation, the so-called 'mean droplet' in the Heid...

This work is devoted to a theoretical analysis of mass frequency response to pressure oscillations of a spray of repetitively injected drops into a combustion chamber. A single stationary spherical droplet continuously fed with the same liquid fuel so that its volume remains constant despite the evaporation, the so-called 'mean droplet' in the Heid...

We establish a bialgebra theory for anti-flexible algebras in this paper. We introduce the notion of an anti-flexible bialgebra which is equivalent to a Manin triple of anti-flexible algebras. The study of a special case of anti-flexible bialgebras leads to the introduction of anti-flexible Yang-Baxter equation in an anti-flexible algebra which is...

Deformed quantum algebras, namely the q-deformed algebras and their extensions to (p, q)-deformed algebras, continue to attract much attention. One of the main reasons is that these topics represent a meeting point of nowadays fast developing areas in mathematics and physics like the theory of quantum orthogonal polynomials and special functions, q...