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arXiv · 2610.35460

Periodic data conjugacy for diffeomorphism cocycles

Victoria Sadovskaya
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Abstract

We consider Hölder continuous cocycles over a hyperbolic dynamical system with values in the group of diffeomorphisms of a compact manifold. We focus on establishing conjugacy between two cocycles from conjugacy of their periodic data. We obtain such a result under bunching, or domination, assumption on the cocycles and a mild regularity assumption in $C^0$ topology on the maps conjugating the periodic data. We also obtain conjugacy to a constant cocycle assuming boundedness in $C^1$ or pre-compactness in $C^0$ for the constant cocycle and the conjugating maps.

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Victoria Sadovskaya. 2026-10-26. Periodic data conjugacy for diffeomorphism cocycles. https://arxiv.org/abs/2610.35460

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