On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems
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On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems
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Author : U Haagerup
language : en
Publisher:
Release Date : 2014-09-11
On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems written by U Haagerup and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Hamiltonian systems categories.
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.
On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems
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Author : Pierre Lochak
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems written by Pierre Lochak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Hamiltonian systems categories.
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.
Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Measure And Capacity Of Wandering Domains In Gevrey Near Integrable Exact Symplectic Systems
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Author : Laurent Lazzarini
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-02-21
Measure And Capacity Of Wandering Domains In Gevrey Near Integrable Exact Symplectic Systems written by Laurent Lazzarini and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Domains of holomorphy categories.
A wandering domain for a diffeomorphism of is an open connected set such that for all . The authors endow with its usual exact symplectic structure. An integrable diffeomorphism, i.e., the time-one map of a Hamiltonian which depends only on the action variables, has no nonempty wandering domains. The aim of this paper is to estimate the size (measure and Gromov capacity) of wandering domains in the case of an exact symplectic perturbation of , in the analytic or Gevrey category. Upper estimates are related to Nekhoroshev theory; lower estimates are related to examples of Arnold diffusion. This is a contribution to the “quantitative Hamiltonian perturbation theory” initiated in previous works on the optimality of long term stability estimates and diffusion times; the emphasis here is on discrete systems because this is the natural setting to study wandering domains.
Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures
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Author : Bhatia Rajendra
language : en
Publisher: World Scientific
Release Date : 2011-06-06
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 Bhatia Rajendra and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.
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.
Maximum Principles On Riemannian Manifolds And Applications
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Author : Stefano Pigola
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Maximum Principles On Riemannian Manifolds And Applications written by Stefano Pigola and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The aim of this paper is 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 recently obtained by the authors. Applications are given to a number of geometrical problems in the setting of complete Riemannian manifolds, under assumptions either on the curvature or on the volume growth of geodesic balls.
Integral Transformations And Anticipative Calculus For Fractional Brownian Motions
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Author : Yaozhong Hu
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Integral Transformations And Anticipative Calculus For Fractional Brownian Motions written by Yaozhong Hu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fractional calculus categories.
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.
Notes On Hamiltonian Dynamical Systems
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Author : Antonio Giorgilli
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-05
Notes On Hamiltonian Dynamical Systems written by Antonio Giorgilli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Science categories.
Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.
Equivariant Almost Arborescent Representations Of Open Simply Connected 3 Manifolds
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Author : Valentin Poenaru
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Equivariant Almost Arborescent Representations Of Open Simply Connected 3 Manifolds written by Valentin Poenaru and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
When one extends the (almost) collapsible pseudo-spine representation theorem for homotopy $3$-spheres [Po3] to open simply connected $3$-manifolds $V^3$, new phenomena appear: at the source of the representation, the set of double points is, generally speaking, no longer closed. We show that at the cost of replacing $V^3$ by $V_h^3 = \{V^3$ with very many holes $\}$, we can always find representations $X^2 \stackrel {f} {\rightarrow} V^3$ with $X^2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, with the open regular neighbourhood (the only one which is well-defined here) Nbd$(fX^2)=V^3_h$ and such that on any precompact tight transversal to the set of double lines, we have only finitely many limit points (of the set of double points).Moreover, if $V^3$ is the universal covering space of a closed $3$-manifold, $V^3=\widetilde M^3$, then we can find an $X^2$ with a free $\pi_1M^3$ action and having the equivariance property $f(gx)=gf(x)$, $g\in \pi_1M^3$. Having simultaneously all these properties for $X^2\stackrel{f} {\rightarrow} \widetilde M^3$ is one of the steps in the first author's program for proving that $\pi_1^\infty \widetilde M^3=[UNK]0$, [Po11, Po12]. Achieving equivariance is far from being straightforward, since $X^2$ is gotten starting from a tree of fundamental domains on which $\pi_1M^3$ cannot, generally speaking, act freely. So, in this paper we have both a representation theorem for general ($\pi_1=0$) $V^3$'s and a harder equivariant representation theorem for $\widetilde M^3$ (with $gfX^2=fX^2, \, g\in\pi_1M^3$), the proof of which is not a specialization of the first, 'easier' result.But, finiteness is achieved in both contexts. In a certain sense, this finiteness is a best possible result, since if the set of limit points in question is $\emptyset$ (i.e. if the set of double points is closed), then $\pi_1^\infty V_h^3$ (which is always equal to $\pi_1^\infty V^3$) is zero. In [PoTa2] it was also shown that when we insist on representing $V^3$ itself, rather than $V_h^3$, and if $V^3$ is wild ($\pi_1^\infty\not =0$), then the transversal structure of the set of double lines can exhibit chaotic dynamical behavior. Our finiteness theorem avoids chaos at the cost of a lot of redundancy (the same double point $(x, y)$ can be reached in many distinct ways starting from the singularities).
The Complete Dimension Theory Of Partially Ordered Systems With Equivalence And Orthogonality
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Author : K. R. Goodearl
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
The Complete Dimension Theory Of Partially Ordered Systems With Equivalence And Orthogonality written by K. R. Goodearl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index