- Bib ID:
- 3284422
- Format:
- Book and Microform
- Author:
- Windsor, Alistair James
- Description:
- 70 p.
- ISBN:
- 0493847618
- Summary:
-
This thesis is dedicated to investigating a number of phenomena that arise in systems that admit fast periodic approximation. In the first chapter we use a method of construction involving fast periodic approximation to construct a smooth minimal diffeomorphism with finitely many ergodic measures. In the second and third chapters we analyze special flows over rotations. In the second chapter we show that when the rotation in the base is Liouville we can construct functions for which the special flow has mixed spectrum. Generically special flows over Liouville rotations are weak mixing. In the third chapter we exhibit a class of functions for which the behavior of the special flow is constrained. Depending on the rotation number the special flow is either L2 conjugate to a suspension flow or is weak mixing.
- Notes:
-
- (UnM)AAI3065016
- Source: Dissertation Abstracts International, Volume: 63-09, Section: B, page: 4211.
- Adviser: Anatole Katok.
- Thesis (Ph.D.)--The Pennsylvania State University, 2002.
- Reproduction:
- Microfiche. Ann Arbor, Mich.: University Microfilms International.
- Subject:
- Mathematics
- Other authors/contributors:
- The Pennsylvania State University
- Copyright:
-
In Copyright
Contact us for information about copying.
Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Unpublished
- Creation date:
- 2002
Copyright status may not be correct if data in the record is incomplete or inaccurate.
Other access conditions may also apply. For more information please see:
Copyright in library collections.
Request this item
Request this item to view in the Library’s reading room.