Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds

Masato Tsujii

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arXiv · 2602.05188

Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds

Masato Tsujii

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Abstract

We construct non-stationary normal coordinates in a neighborhood of Pesin stable manifolds \cite{Pesin}. This construction is a natural extension, via jets in the normal directions, of the non-stationary normal coordinates on stable manifolds introduced by Guysinsky and Katok. We emphasize that this extension provides a useful framework for describing the fractal geometric structures of stable and unstable foliations in smooth dynamical systems.

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Masato Tsujii. 2026-02-05. Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds. https://arxiv.org/abs/2602.05188

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