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arXiv · 1509.08415

The specification property on a set-valued map and its inverse limit

Brian Raines·Tim Tennant
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Abstract

In this paper we consider dynamical properties of set-valued mappings and their implications on the associated inverse limit space. Specifically, we define the specification property and topological entropy for set-valued functions and prove some elementary results of these properties. We end with a few results regarding invariant measures for set-valued functions and their associated inverse limits.

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Brian Raines, Tim Tennant. 2015-09-28. The specification property on a set-valued map and its inverse limit. https://arxiv.org/abs/1509.08415

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