Brian Raines, Tim Tennant
Published 2015-09-28Version 1
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.
Continuum-wise expansiveness and specification for set-valued functions and topological entropy
Specification property for step skew products
On the specification property and synchronisation of unique $q$-expansions
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