| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] ICMC USP, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Stochastics and Dynamics; v. 19, n. 1 FEB 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Let f : S-1 -> S-1 be a C2+epsilon expanding map of the circle and let v : S-1 -> R be a C1+epsilon function. Consider the twisted cohomological equation v = alpha o f -Df . alpha, which has a unique bounded solution alpha. We show that a is either C(1+epsilon )or continuous but nowhere differentiable. If a is nowhere differentiable then the Newton quotients of alpha, after an appropriated normalization, converges in distribution (with respect to the unique absolutely continuous invariant probability of f) to the normal distribution. In particular, alpha is not a Lipschitz continuous function on any subset with positive Lebesgue measure. (AU) | |
| FAPESP's process: | 10/17419-6 - Transversal families of piecewise expanding maps |
| Grantee: | Amanda de Lima |
| Support type: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems |
| Grantee: | Ali Tahzibi |
| Support type: | Research Projects - Thematic Grants |