Flip signatures

Autor(es)

Ryu, Sieye

• 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