| Texto completo | |
| Autor(es): |
Ryu, Sieye
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. N/A, p. 35-pg., 2022-09-26. |
| Resumo | |
A D-infinity-topological Markov chain is a topological Markov chain provided with an action of the infinite dihedral group D-infinity. It is defined by two zero-one square matrices A and J satisfying AJ = JA(T) and J(2) = I. A flip signature is obtained from symmetric bilinear forms with respect to J on the eventual kernel of A. We modify Williams' decomposition theorem to prove the flip signature is a D-infinity-conjugacy invariant. We introduce natural D-infinity-actions on Ashley's eight-by-eight and the full two-shift. The flip signatures show that Ashley's eight-by-eight and the full two-shift equipped with the natural D-infinity-actions are not D-infinity-conjugate. We also discuss the notion of D-infinity-shift equivalence and the Lind zeta function. (AU) | |
| Processo FAPESP: | 18/12482-3 - 1. Teoria K e ações de grupo em sistemas dinâmicos de turnos 2. Classificação de espaços de deslocamento de tipos finitos possuindo os grupos diédricos infinitos |
| Beneficiário: | Sieye Ryu |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |