Dynamical properties of finite type subshifts generated by a sum (0,1)-sequare matrices

• Autorzy: Jabłoński D.
• Języki publikacji: EN

Abstrakty

EN

In the paper some dynamical properties of a subshift of finite type generated by the finite sum of the (0, l)-square matrices are considered.

Słowa kluczowe

EN

dynamical properties; subshift of finite type; topological mixing; topological transitivity; irreducibility of a matrix

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 891--897
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Jabłoński D.

• Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, PL 31-155 Krakow, Poland

Bibliografia

• [1] N. Aoki, K. Hiraide, Topological Theory of Dynamical Systems, North-Holland, Tokyo, 1994.
• [2] D. Jabłoński, Numerical conditions for some dynamical properties of subshifts of finite type, Demonstratio Mathematica, 34 (2001), 969-974.
• [3] R. Mañé, Ergodic Theory and Differentiable Dynamics, Springer Verlag, Berlin, 1987.
• [4] B. Marcus, D. Lind, An Introduction to Symbolic Dynamics and Coding, Cambridge University Press, Cambridge, 1995.
• [5] P. Walters, On the pseudo orbit tracing property and its relationship to stability, in: The structure of attractors in dynamical systems, Lecture Notes in Math. 668: 231-244, Springer Verlag, Berlin, 1978.