On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the structure of the ergodic limit functions determined in random ergodic theorems.
When the r random parameters are shifted by the r0-shift transformation with r0∈{1,2,…,r}, the major finding is that the (random) ergodic limit functions determined in random ergodic theorems depend essentially only on the r—r0 random parameters.
Some of the results obtained here improve the earlier random ergodic theorems of Ryll-Nardzewski (1954), Gladysz (1956), Cairoli (1964), and Yoshimoto (1977) for positive linear contractions on L1 and Woś (1982) for sub-Markovian operators.
Moreover, applications of these results to nonlinear random ergodic theorems for affine operators are also included.
Some examples are given for illustrating the relationship between the ergodic limit functions and the random parameters in random ergodic theorems.
American Psychological Association (APA)
Yoshimoto, Takeshi. 2013. On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-476808
Modern Language Association (MLA)
Yoshimoto, Takeshi. On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-476808
American Medical Association (AMA)
Yoshimoto, Takeshi. On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-476808
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476808