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20242026
most citedVariational principle for random pressure function

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math.DS2025

Dimensions and entropies for an expansive homeomorphism

Ercai Chen, Tassilo Küpper, Yunxiang Xie

For an expansive homeomorphism, we investigate the relationship among dimension, entropy, and Lyapunov exponents. Motivated by Young's formula for surface diffeomorphisms, which li…

math.OC2025

Bowen's equations for invariance pressure of control systems

Rui Yang, Ercai Chen, Jiao Yang +1

We aim to establish Bowen's equations for upper capacity invariance pressure and Pesin-Pitskel invariance pressure of discrete-time control systems. We first introduce a new invari…