Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems

A wandering domain for a diffeomorphism We first prove that the measure (or the capacity) of these wandering domains is exponentially small, with an upper bound of the form The second part of the paper is devoted to the construction of near-integrable Gevrey systems possessing wandering domains, for...

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Bibliographic Details
Main Authors: Lazzarini, Laurent, Marco, Jean-Pierre, Sauzin, David
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2019
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Domains of holomorphy
Integral domains
Symplectic geometry
Symplectic groups
ISBN:9781470434922, 147043492X
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary:A wandering domain for a diffeomorphism We first prove that the measure (or the capacity) of these wandering domains is exponentially small, with an upper bound of the form The second part of the paper is devoted to the construction of near-integrable Gevrey systems possessing wandering domains, for which the capacity (and thus the measure) can be estimated from below. We suppose
Bibliography:Includes bibliographical references
January 2019, volume 257, number 1235 (fifth of 6 numbers)
ISBN:9781470434922
147043492X
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1235