Bin Yu

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20242026

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math.DS2026

Construction of Anosov flows on fibered hyperbolic 3-manifolds

FranÃ§ois BÃ©guin, Christian Bonatti, Biao Ma +1

We prove that fibered hyperbolic $3$ -manifolds carrying transitive Anosov flows are abundant. More precisely, for every $g \geq 2$ , there is a finite index subgroup~ $I^$ of $ \mathr…

math.DS2025

Nonsingular structural stable chaotic 3-flows of attractor-repeller type

Zhentao Lai, V. Medvedev, Bin Yu +1

We show that any orientable closed 3-manifold $M$ admits structurally stable non-singular flow $f^{t}$ whose non-wandering set $N W (f^{t})$ consists of a 2-dimensional expanding attract…

math.DS2024

Existence of arbitrary large numbers of non- $R$ -covered Anosov flows on hyperbolic $3$ -manifolds

The purpose of this paper is to prove that, for every $n \in N$ , there exists a closed hyperbolic $3$ -manifold $M$ which carries at least $n$ non- $R$ -covered Anosov…

Construction of Anosov flows on fibered hyperbolic 3-manifolds

Nonsingular structural stable chaotic 3-flows of attractor-repeller type

Existence of arbitrary large numbers of non-R-covered Anosov flows on hyperbolic 3-manifolds

Existence of arbitrary large numbers of non- $R$ -covered Anosov flows on hyperbolic $3$ -manifolds