Abstract
In this chapter we recall in a pragmatic manner all the necessary notions and results from the thermodynamic formalism and dimension theory. In particular, we introduce the notions of topological pressure, BS-dimension, Hausdorff dimension, lower and upper box dimensions and pointwise dimension. We emphasize that we consider the general case of the topological pressure for noncompact sets, which is crucial in multifractal analysis.
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Barreira, L. (2013). Pressure and Dimension. In: Dimension Theory of Hyperbolic Flows. Springer Monographs in Mathematics. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00548-5_4
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DOI: https://doi.org/10.1007/978-3-319-00548-5_4
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00547-8
Online ISBN: 978-3-319-00548-5
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