Abstract/Details

Weak convergence in d x d bistochastic matrices and other semigroups

Lo, Chi-Chang. 
 University of South Florida ProQuest Dissertations Publishing,  1989. 8918215.

Abstract (summary)

In the first part of this dissertation, we look into the special semigroup of bistochastic matrices and show that the following problem can be solved completely: Given a probability measure $\mu$ on the Borel subsets of the compact semigroup of $d$ x $d$ bistochastic matrices (with usual topology and matrix multiplication), how we can decide whether the sequence ($\mu\sp{n}$) converges weakly or not, and in case of convergence, what the limiting measure is.

In the second part of this dissertation, we discuss various necessary and sufficient conditions for a sequence of non-identical distributions to be composition convergent when S is a non-abelian semigroup. We also extend some Maksimov's results to compact semigroups.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Weak convergence in d x d bistochastic matrices and other semigroups
Author
Lo, Chi-Chang
Number of pages
112
Degree date
1989
School code
0206
Source
DAI-B 50/05, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-206-95251-3
Advisor
Mukherjea, Arunava
University/institution
University of South Florida
University location
United States -- Florida
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
8918215
ProQuest document ID
303792678
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/303792678