arXiv Analytics

Sign in

arXiv:1708.03695 [math.DS]AbstractReferencesReviewsResources

Large Deviation Principle for $S$-unimodal maps with flat critical point

Yong Moo Chung, Hiroki Takahasi

Published 2017-08-11Version 1

We study a topologically exact, negative Schwarzian unimodal map whose critical point is non-recurrent and flat. Assuming the critical order is either logarithmic or polynomial, we establish the Large Deviation Principle. A key ingredient is an inducing scheme equipped with a specification-like property.

Comments: 16 pages, no figure
Categories: math.DS, math.PR
Subjects: 37C40, 37C45, 37D25, 37D35, 37E05, 60F10
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