%0 Journal Article %A Bartoll, S. %A Martínez Giménez, F. %A Murillo Arcila, Marina %A Peris, A. %T Cantor sets, Bernouilli shifts and linear dynamics %D 2014 %@ 2194-1017 %U http://hdl.handle.net/10498/35579 %X Our purpose is to review some recent results on the interplay between the symbolic dynamics on Cantor sets and linear dynamics. More precisely, we will give some methods that allow the existence of strong mixing measures invariant for certain operators on Fréchet spaces, which are based on Bernoulli shifts on Cantor spaces. Also, concerning topological dynamics, we will show some consequences for the specification properties. %K Hypercyclic operators %K Specification properties %K Strong mixing measures %K Weighted shifts %~ Universidad de Cádiz