Measure and Capacity of Wandering Domains in Gevrey Near Integrable Exact Symplectic Systems is popular PDF and ePub book, written by Laurent Lazzarini in 2019-02-21, it is a fantastic choice for those who relish reading online the Domains of holomorphy genre. Let's immerse ourselves in this engaging Domains of holomorphy book by exploring the summary and details provided below. Remember, Measure and Capacity of Wandering Domains in Gevrey Near Integrable Exact Symplectic Systems can be Read Online from any device for your convenience.
Measure and Capacity of Wandering Domains in Gevrey Near Integrable Exact Symplectic Systems Book PDF Summary
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.
Detail Book of Measure and Capacity of Wandering Domains in Gevrey Near Integrable Exact Symplectic Systems PDF
- Author : Laurent Lazzarini
- Release : 21 February 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470434922
- Genre : Domains of holomorphy
- Total Page : 106 pages
- Language : English
- PDF File Size : 19,8 Mb
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