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Disintegration of invariant measures for hyperbolic skew products
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Butterley, Oliver and Melbourne, Ian (2017) Disintegration of invariant measures for hyperbolic skew products. Israel Journal of Mathematics, 219 (1). pp. 171-188. doi:10.1007/s11856-017-1477-z ISSN 0021-2172.
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Official URL: http://dx.doi.org/10.1007/s11856-017-1477-z
Abstract
We study hyperbolic skew products and the disintegration of the SRB measure into measures supported on local stable manifolds. Such a disintegration gives a method for passing from an observable v on the skew product to an observable v¯¯¯ on the system quotiented along stable manifolds. Under mild assumptions on the system we prove that the disintegration preserves the smoothness of v, first in the case where v is Hölder and second in the case where v is C1 .
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Israel Journal of Mathematics | ||||||
Publisher: | Magnes Press | ||||||
ISSN: | 0021-2172 | ||||||
Official Date: | 2017 | ||||||
Dates: |
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Volume: | 219 | ||||||
Number: | 1 | ||||||
Page Range: | pp. 171-188 | ||||||
DOI: | 10.1007/s11856-017-1477-z | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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