Pointwise Dimension and Applications

作者: Luís Barreira

DOI: 10.1007/978-3-319-00548-5_6

关键词:

摘要: In this chapter, again for conformal hyperbolic flows, we establish an explicit formula the pointwise dimension of arbitrary invariant measure in terms local entropy and Lyapunov exponents. particular, allows us to show that Hausdorff a (nonergodic) is equal essential supremum dimensions measures each ergodic decomposition. We also discuss problem existence maximal dimension. These are at which over all attained.

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