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
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