Factor maps between tiling dynamical systems

Forum Mathematicum

Volumn 11, Issue 4, 1999, Pages 503-512

  Petersen, Karl ^a  

^a University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033459276     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.1999.011     Document Type: Article

References (13)

1. Furstenberg, H.: Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Systems Theory 1 (1967), 1-49
2. Hedlund, G. A.: Endomorphisms and automorphisms of the shift dynamical system. Math. Systems Theory 3 (1969), 320-375
3. Kakutani, S.: Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. Recent Advances in Topological Dynamics (A. Beck, ed.), Lecture Notes in Math. vol. 318, Springer-Verlag, 1973
4. Keynes, H. B., N. G. Markley and M. Sears: Automorphisms of suspension flows over the circle, Dynamical Systems. Proceedings, University of Maryland, 1986-87 (J. C. Alexander, ed.), Lecture Notes in Math. vol. 1342, Springer-Verlag, 1988, pp. 342-353
5. _: The structure of automorphisms of real suspension flows. Ergod. Th. Dyn. Sys. 11 (1991), 349-364
6. Petersen, K. and L. Shapiro: Induced flows. Trans. Amer. Math. Soc. 177 (1973), 375-390
7. Petersen, K. E.: Disjointness and weak mixing of minimal sets. Proc. Amer. Math. Soc. 24 (1970), 278-280
8. Priebe, N.: Detecting Hierarchy in Tiling Dynamical Systems via Derived Voronoi Tessellations. Ph.D. thesis, Univ. of N. Carolina at Chapel Hill, 1997
9. d-Actions (M. Pollicott and K. Schmidt, eds.); LMS Lecture Note Series, vol. 228, Cambridge Univ. Press 1997, pp. 237-258
10. Radin, C. and L. Sadun: Isomorphisms of hierarchical structures. Preprint
11. d-Actions (M. Pollicott and K. Schmidt, eds.), LMS Lecture Note Series, vol. 228, Cambridge Univ. Press, 1996, pp. 451-473
12. Senechal, M.: Quasicrystals and Geometry. Cambridge Univ. Press, 1995
13. Solomyak, B.: Dynamics of self-similar tilings. Ergod. Th. Dyn. Sys. 17 (1997), 695-738