We estimate the Bowen parameters and the Hausdorff dimensions of the Julia sets of expanding finitely generated rational semigroups. We show that the Bowen parameter is larger than or equal to the ratio of the entropy of the skew product map f̃ and the Lyapunov exponent of f̃ with respect to the maximal entropy measure for f̃ . Moreover, we show that the equality holds if and only if the generator...

Despite the importance of Bowen theory (M.Bowen, 1976,1978; M. E. Kerr&Bowen, 1988) in the field of family therapy, there have been relatively few studies to date examining its constructs or propositions. To fill this gap, a self-report instrument, the Differentiation of Self Inventory (DSI) has been developed. The DSI is a multidimensional measure of differentiation that focuses specifically o...

Using an approach due to Bowen, Franco showed that continuous expansive flows with specification have unique equilibrium states for potentials with the Bowen property. We show that this conclusion remains true using weaker non-uniform versions of specification, expansivity, and the Bowen property. We also establish a corresponding result for homeomorphisms. In the homeomorphism case, we obtain ...

Anatomically preserved vegetative Glossopteris leaves in silicified peat deposits of Late Permian age are described from the Bowen Basin of Queensland and the Sydney Basin of New South Wales, Australia. Glossopteris homevalensis Pigg et McLoughlin, sp. nov., a distinctive new species from the Fort Cooper Coal Measures, Bowen Basin, is characterized by mesarch vascular bundles with parenchymatou...

Let X be a proper, geodesically complete CAT(0) space under a proper, non-elementary, isometric action by a group Γ with a rank one element. We construct a generalized Bowen-Margulis measure on the space of unit-speed parametrized geodesics of X modulo the Γ-action. Although the construction of Bowen-Margulis measures for rank one nonpositively curved manifolds and for CAT(−1) spaces is well-kn...

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Karl Harrison Jonathan P. Bowen Alice M. Bowen University of Oxford Department of Chemistry United Kingdom http://www.chem.ox.ac.uk/it/karlharrison.html London South Bank University Department of Informatics United Kingdom http://www.jpbowen.com University of Oxford Department of Chemistry United Kingdom http://oxford.academia.edu/AliceBowen [email protected] [email protected]...