Work

On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms

Year: 2026

Type: preprint

Abstract: We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, constructed as interval extensions of Anosov diffeomorphisms on nilmanifolds. Specifically, we develop a mechanism for topological transitivity allowing arbitrary finite-order parabolic degeneracies in the central direction.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.24437

Authors: Li, Wenchao, Xia, Mingyang

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Award: G8998874865

OpenAlex ID: W7214048623

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