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Jorge Campos

Publications and source records attributed to Jorge Campos.

2 recordsLinked to original sources
arXiv2024

Shift spaces, Languages and Transfinite Induction

This paper deals with an extension of the classical concept of shift space, which corresponds to any shift-invariant closed subset of the Cartesian product of a particular finite set (alphabet) endowed with the prodiscrete topology. In such an extended framework the notion of language is introduced and a characterization is shown. In order to do this, transfinite induction is required because the cardinality of the index set of the product may not be countable.

math.DS↗
arXiv2021

On the image set and reversibility of shift morphisms over discrete alphabets

In this paper we provide sufficient conditions in order to show that the set image of a continuous and shift-commuting map defined on a shift space over an arbitrary discrete alphabet is also a shift space; additionally, if such a map is injective, then its inverse is also continuous and shift-commuting.

math.DS↗