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On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems
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Book Synopsis On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems by : Pierre Lochak
Download or read book On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems written by Pierre Lochak and published by American Mathematical Soc.. This book was released on 2003 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.
Book Synopsis On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems by : U Haagerup
Download or read book On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems written by U Haagerup and published by . This book was released on 2014-09-11 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.
Book Synopsis Exponentially Small Splitting of Invariant Manifolds of Parabolic Points by :
Download or read book Exponentially Small Splitting of Invariant Manifolds of Parabolic Points written by and published by American Mathematical Soc.. This book was released on with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Splitting of Invariant Manifolds in Multidimensional Near-integrable Hamiltonian Systems by : Pierre Lochak
Download or read book On the Splitting of Invariant Manifolds in Multidimensional Near-integrable Hamiltonian Systems written by Pierre Lochak and published by American Mathematical Soc.. This book was released on 2003-03-21 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text we take up the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. We first conduct a geometric study, which for a large part is not restricted to the perturbative situation of near-integrable systems. This point of view allows us to clarify some previously obscure points, in particular the symmetry and variance properties of the splitting matrix (indeed its very definition(s)) and more generally the connection with symplectic geometry. Using symplectic normal forms, we then derive local exponential upper bounds for the splitting matrix in the perturbative analytic case, under fairly general circumstances covering in particular resonances of any multiplicity. The next technical input is the introduction of a canonically invariant scheme for the computation of the splitting matrix. It is based on the familiar Hamilton-Jacobi picture and thus again is symplectically invariant from the outset. It is applied here to a standard Hamiltonian exhibiting many of the important features of the problem and allows us to explore in a unified way the question of finding lower bounds for the splitting matrix, in particular that of justifying a first order computation (the so-called Poincare-Melnikov approximation). Although we do not specifically address the issue in this paper we mention that the problem of the splitting of the invariant manifold is well-known to be connected with the existence of a global instability in these multidimensional Hamiltonian systems and we hope the present study will ultimately help shed light on this important connection first noted and explored by V. I. Arnold.
Book Synopsis Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures by : Rajendra Bhatia
Download or read book Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures written by Rajendra Bhatia and published by World Scientific. This book was released on 2011-06-06 with total page 4137 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Book Synopsis Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result by : Valentin Poenaru
Download or read book Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result written by Valentin Poenaru and published by American Mathematical Soc.. This book was released on 2004 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope
Book Synopsis Maximum Principles on Riemannian Manifolds and Applications by : Stefano Pigola
Download or read book Maximum Principles on Riemannian Manifolds and Applications written by Stefano Pigola and published by American Mathematical Soc.. This book was released on 2005 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Book Synopsis Integral Transformations and Anticipative Calculus for Fractional Brownian Motions by : Yaozhong Hu
Download or read book Integral Transformations and Anticipative Calculus for Fractional Brownian Motions written by Yaozhong Hu and published by American Mathematical Soc.. This book was released on 2005 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paper that studies two types of integral transformation associated with fractional Brownian motion. They are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.
Book Synopsis Notes on Hamiltonian Dynamical Systems Notes on Hamiltonian Dynamical Systems by : Antonio Giorgilli
Download or read book Notes on Hamiltonian Dynamical Systems Notes on Hamiltonian Dynamical Systems written by Antonio Giorgilli and published by Cambridge University Press. This book was released on 2022-05-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev's theorem and superexponential stability. Its analytic approach allows students to learn about perturbation methods leading to advanced results. Key topics covered include Liouville's theorem, the proof of Poincaré's non-integrability theorem and the nonlinear dynamics in the neighbourhood of equilibria. The theorem of Kolmogorov on persistence of invariant tori and the theory of exponential stability of Nekhoroshev are proved via constructive algorithms based on the Lie series method. A final chapter is devoted to the discovery of chaos by Poincaré and its relations with integrability, also including recent results on superexponential stability. Written in an accessible, self-contained way with few prerequisites, this book can serve as an introductory text for senior undergraduate and graduate students.
Book Synopsis The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality by : K. R. Goodearl
Download or read book The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2005 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index
Book Synopsis A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields by : Jason Fulman
Download or read book A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields written by Jason Fulman and published by American Mathematical Soc.. This book was released on 2005 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.
Book Synopsis Entropy Bounds and Isoperimetry by : Serguei Germanovich Bobkov
Download or read book Entropy Bounds and Isoperimetry written by Serguei Germanovich Bobkov and published by American Mathematical Soc.. This book was released on 2005 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo
Book Synopsis The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups by : Martin W. Liebeck
Download or read book The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2004 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.
Book Synopsis Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness by : Lee Klingler
Download or read book Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness written by Lee Klingler and published by American Mathematical Soc.. This book was released on 2005 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Book Synopsis Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance by : Marc Aristide Rieffel
Download or read book Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance written by Marc Aristide Rieffel and published by American Mathematical Soc.. This book was released on 2004 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di
Book Synopsis Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation by : Benoît Mselati
Download or read book Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation written by Benoît Mselati and published by American Mathematical Soc.. This book was released on 2004 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].
Book Synopsis Representation Theory and Numerical AF-Invariants by : Ola Bratteli
Download or read book Representation Theory and Numerical AF-Invariants written by Ola Bratteli and published by American Mathematical Soc.. This book was released on 2004 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.
