Abstract/Details

The Bi-sequences of Approximation Coefficients for Gauss-like and Renyi-like Maps on the Interval


2011 2011

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Abstract (summary)

We will establish several arithmetic and geometric properties regarding the bi-sequences of approximation coefficients (BAC) associated with the two one-parameter families of piecewise-continuous Möbius transformations introduced by Haas and Molnar. The Gauss and Renyi maps, which lead to the expansions of irrational numbers on the interval as regular and backwards continued fractions, are realized as special cases. The results are natural generalizations of theorems from Diophantine approximation.

Indexing (details)


Subject
Theoretical Mathematics
Classification
0642: Theoretical Mathematics
Identifier / keyword
Pure sciences; Bi-sequences of approximation coefficients; Gauss maps; Mobius transformations; Renyi maps
Title
The Bi-sequences of Approximation Coefficients for Gauss-like and Renyi-like Maps on the Interval
Author
Bourla, Avraham
Number of pages
102
Publication year
2011
Degree date
2011
School code
0056
Source
DAI-B 73/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9781267105868
Advisor
Haas, Andrew
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3492152
ProQuest document ID
915764002
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/915764002
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