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...

We study dimension of stable sets and scrambled sets of a dynamical system with positive finite entropy. We show that there is a measure-theoretically “large” set containing points whose sets of “hyperbolic points” (i.e., points lying in the intersections of the closures of the stable and unstable sets) admit positive Bowen dimension entropies, which, under a continuum hypothesis, also contains...

in this paper, the optimal adaptive leader-follower consensus of linear continuous time multi-agent systems is considered. the error dynamics of each player depends on its neighbors’ information. detailed analysis of online optimal leader-follower consensus under known and unknown dynamics is presented. the introduced reinforcement learning-based algorithms learn online the approximate solution...

there are two dominant approaches to describe and understand the anatomy of complete health and well-being systems internationally. yet, neither approach has been able to either predict or explain occasional but dramatic crises in health and well-being systems around the world and in developed emerging market or developing country contexts. as the impacts of such events can be measured not simp...

taking both work and family roles in society simultaneously results in role conflict. this conflict may prevent one from performing each role effectively and this in turn may provoke serious work-family conflicts. usually there are more expectations for women concerning domestic and family affairs. the current study, applying merton’s theory, good’s theory and social support theory investigates...

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...

could be discerned. Biopsy showed a tumor confined to the epidermis with acanthosis, a certain degree of papillomatosis, markedly atypical cells, and mitotic figures, with a completely intact basement membrane. Immunohistochemical studies using markers such as Melan-A and pancytokeratin cocktail confirmed the nature of the tumor, which was diagnosed as a case of pigmented Bowen disease. We exci...

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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