Advisor(s)
Stanley Eigen
Contributor(s)
Arshag Hajian, Samuel Blank, Yuji Ito
Date of Award
2009
Date Accepted
7-2009
Degree Grantor
Northeastern University
Degree Level
Ph.D.
Degree Name
Doctor of Philosophy
Department or Academic Unit
College of Arts and Sciences. Department of Mathematics.
Keywords
exhaustive weakly wandering sequences
Subject Categories
Ergodic theory, Measure-preserving transformations
Disciplines
Mathematics
Abstract
In this thesis, new conditions are given which allow for the control of the exhaustive weakly wandering sequence of an ergodic, infinite measure preserving transformation. It is also shown how to control the α-type of a transformation. These are then extended to permit the simultaneous control of both the exhaustive weakly wandering sequence and the α-type. Applying these results, new transformations are presented. The first known examples are given of 0-type and 1/3-type with known exhaustive weakly wandering sequences. In addition, we present an explicit sequence of integers which is exhaustive weakly wandering for α-type transformations of every α ∈ [0,1]. This is the first known example of an exhaustive weakly wandering sequence which works for more than one α-type.
Document Type
Dissertation
Rights Holder
John Lindhe
Permanent URL
Recommended Citation
Lindhe, John, "Exhaustive weakly wandering sequences for alpha type transformations" (2009). Mathematics Dissertations. Paper 9. http://hdl.handle.net/2047/d20000069
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