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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.17630 |
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| _version_ | 1866911396890935296 |
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| author | Nowak, Mateusz |
| author_facet | Nowak, Mateusz |
| contents | We study the Bernoulli property for skew products with hyperbolic diffeomorphisms equipped with a Gibbs measure in the base and Kochergin flows in the fiber, when the cocycle is aperiodic and of zero mean. The flow in the fiber can be represented as a special flow over an irrational rotation and a roof function with power singularity. We show that if the growth near the singularity is given by an exponent smaller than $\frac{1}{2}$, then for almost every rotation the resulting skew product is Bernoulli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17630 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bernoullicity of some skew products with hyperbolic base and Kochergin flow in the fiber Nowak, Mateusz Dynamical Systems We study the Bernoulli property for skew products with hyperbolic diffeomorphisms equipped with a Gibbs measure in the base and Kochergin flows in the fiber, when the cocycle is aperiodic and of zero mean. The flow in the fiber can be represented as a special flow over an irrational rotation and a roof function with power singularity. We show that if the growth near the singularity is given by an exponent smaller than $\frac{1}{2}$, then for almost every rotation the resulting skew product is Bernoulli. |
| title | Bernoullicity of some skew products with hyperbolic base and Kochergin flow in the fiber |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.17630 |