%0 Conference Proceedings %T Glider Automorphisms on Some Shifts of Finite Type and a Finitary Ryan’s Theorem %+ University of Turku %A Kopra, Johan %< avec comité de lecture %( Lecture Notes in Computer Science %B 24th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA) %C Ghent, Belgium %Y Jan M. Baetens %Y Martin Kutrib %I Springer International Publishing %3 Cellular Automata and Discrete Complex Systems %V LNCS-10875 %P 88-99 %8 2018-06-20 %D 2018 %R 10.1007/978-3-319-92675-9_7 %K Mixing SFTs %K Automorphisms %K Cellular automata %Z Computer Science [cs]Conference papers %X For any mixing SFT X containing a fixed point we construct a reversible shift-commuting continuous map (automorphism) which breaks any given finite point of the subshift into a finite collection of gliders traveling into opposing directions. As an application we show that the automorphism group $${{\mathrm{Aut}}}(X)$$ contains a two-element subset S whose centralizer consists only of shift maps. %G English %Z TC 1 %Z WG 1.5 %2 https://inria.hal.science/hal-01824877/document %2 https://inria.hal.science/hal-01824877/file/469010_1_En_7_Chapter.pdf %L hal-01824877 %U https://inria.hal.science/hal-01824877 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG1-5 %~ IFIP-AUTOMATA %~ IFIP-LNCS-10875