Exponential decay of hyperbolic times for Benedicks-Carleson quadratic maps

• Type: Article in International Scientific Journal
• Date: 2010

Authors

freitas, jm (Author) FCUP

Journal

Title: Portugaliae Mathematica

Vol. 67

Pages: 525-540

ISSN: 0032-5155

Publisher: European Mathematical Society Publishing House

Indexing

ISI Web of Knowledge - 2 Citations

ISI Web of Science

Scopus

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Chaos theory

Other information

Authenticus ID: P-003-CBH

DOI: 10.4171/pm/1876

Abstract (EN): We consider the Benedicks-Carleson quadratic maps and prove that the tail of Hyperbolic Times, introduced in [5], decays exponentially fast. This improves a previous work [14], where subexponential estimates for this tail were obtained and allows to use the theory developed by Alves et al as another approach to recover statistical properties of these maps like exponential Decay of Correlations, Large Deviations, Central Limit Theorem, Statistical Stability and continuity of metric entropy.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16