Publication Date
1-18-1971
Abstract
In this paper we study ergodic and mixing properties of transformations. Stacking methods are employed to construct the transformations used in this paper. Number theoretical methods are developed and used to study mixing properties. Two new mixing properties B-mixing and S-mixing are defined, and are shown to be between partial mixing and weak mixing. Finally a transformation is constructed which is weak mixing but not S-mixing, and hence not partially mixing. Several applications to additive number theory are given.
Degree Name
Mathematics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Julius Rubin Blum
Second Committee Member
Richard Clyde Metzler
Third Committee Member
Roger Charles Entringer
Language
English
Document Type
Dissertation
Recommended Citation
Christiansen, Sarah Lee Meyer. "Stacking Methods And Mixing Properties Of Measure-Preserving Transformations.." (1971). https://digitalrepository.unm.edu/math_etds/230
