The Exact Hausdorff Dimension of a Branching Set
Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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Lucie Fajfrová (2006)
Kybernetika
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We focus on invariant measures of an interacting particle system in the case when the set of sites, on which the particles move, has a structure different from the usually considered set . We have chosen the tree structure with the dynamics that leads to one of the classical particle systems, called the zero range process. The zero range process with the constant speed function corresponds to an infinite system of queues and the arrangement of servers in the tree structure is natural...
Berlinkov, A.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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Fundamenta Mathematicae
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It is well known that the open set condition and the positivity of the t-dimensional Hausdorff measure are equivalent on self-similar sets, where t is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions in this respect.
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The Yugoslav Journal of Operations Research
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