Work

Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps

Year: 2005

Type: preprint

Abstract: For a large class of nonuniformly expanding maps of $\Bbb R^m$, with indifferent fixed points and unbounded distorsion and non necessarily Markovian, we construct an absolutely continuous invariant measure. We extend to our case techniques previously used for expanding maps on quasi-Hölder spaces. We give general conditions and provide examples to which apply our result.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0510527

Authors: Hu, Huyi, Vaienti, Sandro

Institutions: Michigan State University, Université de Toulon, Centre de Physique Théorique

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952802776

Cites: 13

Cited by: 1

Related to: 10