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arXiv · 2006.08077

Entropies of commuting transformations on Hilbert spaces

Zhiming Li·Yujun Zhu
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Abstract

By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy formula and SRB measures of a finitely generated random transformations on such space via its commuting generators. Moreover, as an application, we give a formula of Friedland's entropy for certain $C^{2}$ $\mathbb{N}^2$-actions.

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Zhiming Li, Yujun Zhu. 2020-06-15. Entropies of commuting transformations on Hilbert spaces. https://arxiv.org/abs/2006.08077

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