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Entropies of commuting transformations on Hilbert spaces

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 نشر من قبل Zhiming Li
 تاريخ النشر 2020
  مجال البحث
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By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesins 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 Friedlands entropy for certain $C^{2}$ $mathbb{N}^2$-actions.

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