Robust Transitivity of Partially Hyperbolic Diffeomorphisms with Interval Central Leaves
Dynamical Systems
2025-09-29 v1
Abstract
For a boundary-preserving partially hyperbolic diffeomorphism with interval central leaves, we completely characterize the -robust transitivity by boundary interconnection. As an application, if the boundary SRB measures admit negative central Lyapunov exponents, then boundary interconnection also completely characterizes the phenomenon of robustly intermingled basins for boundary SRB measures.
Cite
@article{arxiv.2509.21954,
title = {Robust Transitivity of Partially Hyperbolic Diffeomorphisms with Interval Central Leaves},
author = {Wenchao Li and Yi Shi and Mingyang Xia},
journal= {arXiv preprint arXiv:2509.21954},
year = {2025}
}