Artículos de revistas
Spectra of generalized stochastic adding machines
Fecha
2018-01-01Registro en:
Fundamenta Mathematicae, v. 241, n. 1, p. 17-43, 2018.
0016-2736
10.4064/fm361-2-2017
2-s2.0-85044229090
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal do Rio de Janeiro (UFRJ)
Institución
Resumen
We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra of their transition operators in different Banach spaces, like c0, c and lα, 1 ≤ α ≤ 1.