Zobrazeno 1 - 10 of 21 pro vyhledávání: '"Robert Brouzet"'
2
Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian
Autor: Robert Brouzet, Hassan Boualem
Publikováno v: Symmetry, Integrability and Geometry : Methods and Applications
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2021, ⟨10.3842/SIGMA.2021.096⟩
We state and prove that a certain class of smooth functions said to be BH-separable is a meagre subset for the Fr\'echet topology. Because these functions are the only admissible Hamiltonians for Arnold-Liouville systems admitting a bi-Hamiltonian st
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https://hal.umontpellier.fr/hal-03484696
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3
Topology of the space of locally separable functions
Autor: Hassan Boualem, Robert Brouzet
Publikováno v: Topology and its Applications
Topology and its Applications, Elsevier, 2021, 299, pp.107728. ⟨10.1016/j.topol.2021.107728⟩
Among functions of n variables, the simplest are certainly those which are the sum of n functions, each of them depending only on one variable. Nevertheless, the set consisting of such particular functions is rather small compared to the whole space
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https://hal.umontpellier.fr/hal-03484693
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4
Calculation of the orientational linear and nonlinear correlation factors of polar liquids from the rotational Dean-Kawasaki equation
Autor: Robert Brouzet, Cyril Caliot, Pierre-Michel Déjardin, P. Ghesquière, Yann Cornaton
Publikováno v: Journal of Chemical Physics
Journal of Chemical Physics, American Institute of Physics, 2018, 148 (4), ⟨10.1063/1.5010295⟩
A calculation of the Kirkwood and Piekara-Kielich correlation factors of polar liquids is presented using the forced rotational diffusion theory of Cugliandolo et al. [Phys. Rev. E 91, 032139 (2015)]. These correlation factors are obtained as a funct
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https://hal.archives-ouvertes.fr/hal-01704362
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6
To Be (a Circle) or Not to Be?
Autor: Robert Brouzet, Hassan Boualem
Publikováno v: College Mathematics Journal
College Mathematics Journal, Mathematical Association of America, 2017, 46 (3), pp.197-206. ⟨10.4169/college.math.j.46.3.197⟩
College Mathematics Journal, Mathematical Association of America, 2015, 46 (3), pp.197-206. ⟨10.4169/college.math.j.46.3.197⟩
International audience; We begin with a high school exercise, determining whether a particular equation describes an arc of a circle. We give several proofs that it does not, exploring many properties of circles along the way. Yet the curve is the ar
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https://hal.umontpellier.fr/hal-03484803
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7
La double origine du groupe symplectique
Autor: Robert Brouzet
Publikováno v: Expositiones Mathematicae. 22(1):55-82
Resume Ce texte a pour but de decrire les contextes mathematiques qui permirent l'emergence d'un des groupes dits classiques, a savoir le groupe symplectique, par lequel le terme meme de “symplectique”, fit son apparition en mathematiques sous la
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8
Elektronická kniha
Integrable Systems and Foliations : Feuilletages Et Systèmes Intégrables
Autor: Claude Albert, Robert Brouzet, Jean P. Dufour
The articles in this volume are an outgrowth of a colloquium'Systemes Integrables et Feuilletages,'which was held in honor of the sixtieth birthday of Pierre Molino.The topics cover the broad range of mathematical areas which were of keen interest to
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9
Fibration lagrangienne munie d'une pseudo-métrique compatible
Autor: Robert Brouzet, Hassan Boualem, Joseph Rakotondralambo, Francisco-Javier Turiel
Publikováno v: Comptes rendus de l'Académie des sciences. Série I, Mathématique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1998, 326 (10), pp.1201-1204. ⟨10.1016/S0764-4442(98)80227-9⟩
Resume. Nous etudions un certain type de fibrations lagrangiennes dont l'espace total est muni d'une pseudo-metrique compatible avec la forme symplectique. Nous montrons que, sous certaines conditions geometriques, la base de telles fibrations herite
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https://doi.org/10.1016/s0764-4442(98)80227-9
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10
Semi-simple generalized Nijenhuis operators
Autor: Hassan Boualem, Robert Brouzet
Publikováno v: Journal of Geometric Mechanics
Journal of Geometric Mechanics, American Institute of Mathematical Sciences (AIMS), 2012, 4 (4), pp.385-395. ⟨10.3934/jgm.2012.4.385⟩
We study a special class of endomorphism fields of the generalized tangent bundle ${\mathcal{T}}M:=TM\oplus T^*M$ of a smooth manifold $M$. An operator of this class is defined as follows: it has a vanishing Courant-Nijenhuis torsion and is diagonali
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https://hal.archives-ouvertes.fr/hal-00797144
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