arXiv Analytics

Sign in

arXiv:1908.07716 [math.DS]AbstractReferencesReviewsResources

Existence of Large deviations rate function for any $S$-unimodal map

Hiroki Takahasi, Masato Tsujii

Published 2019-08-21Version 1

For any unimodal map with negative Schwarzian derivative and with non-flat critical point, we establish the level-2 Large Deviation Principle for empirical distributions.

Comments: 32 pages, no figure
Categories: math.DS
Subjects: 37A50, 37D20, 37D25, 37D35, 37E05, 37E20
Related articles: Most relevant | Search more
arXiv:1106.4614 [math.DS] (Published 2011-06-23, updated 2012-09-12)
Large deviation principle for Benedicks-Carleson quadratic maps
arXiv:0812.4761 [math.DS] (Published 2008-12-27, updated 2010-02-06)
Large deviation principles for non-uniformly hyperbolic rational maps
arXiv:1307.6433 [math.DS] (Published 2013-07-24, updated 2013-08-19)
Large deviation principles of one-dimensional maps for Hölder continuous potentials

Links

Toolbox