RT book part T1 Cantor sets, Bernouilli shifts and linear dynamics A1 Bartoll, S. A1 Martínez Giménez, F. A1 Murillo Arcila, Marina A1 Peris, A. A2 Matemáticas K1 Hypercyclic operators K1 Specification properties K1 Strong mixing measures K1 Weighted shifts AB Our purpose is to review some recent results on the interplay between thesymbolic dynamics on Cantor sets and linear dynamics. More precisely, we willgive some methods that allow the existence of strong mixing measures invariant forcertain operators on Fréchet spaces, which are based on Bernoulli shifts on Cantorspaces. Also, concerning topological dynamics, we will show some consequencesfor the specification properties. PB Springer SN 9783319052236 SN 2194-1017 YR 2014 FD 2014 LK http://hdl.handle.net/10498/35579 UL http://hdl.handle.net/10498/35579 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026