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arXiv · 2609.10120

A computer-assisted proof of robust transitivity

Marisa Cantarino·Andy Hammerlindl·Warwick Tucker
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Abstract

We present computer-assisted proofs of partial hyperbolicity, existence of a blender and robust transitivity for diffeomorphisms on closed manifolds. These proofs are implemented for a family of derived-from-Anosov systems on the 3-torus.

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Marisa Cantarino, Andy Hammerlindl, Warwick Tucker. 2026-09-09. A computer-assisted proof of robust transitivity. https://arxiv.org/abs/2609.10120

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