Abstract
dc:description.abstractIf C(v,P) is a countable state, recurrent, aperiodic and irreducible Markov Chain with stationary probabilities, the measure of any set of the tail a-field is equal to either zero or one. Although recurrent Markov chains have trivial tail a-fields this is not in general true for transient chains. However the tail g-field for two merging independent Markov chains is trivial. Investigating the invariant measurable sets of 0 leads to the solution of a functional equation of the general form pf = f.
Degree
thesis:*- Name thesis:degree_name
- Master of Arts
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Natural Sciences
- Grantor
- Rice University
- Year dc:date.issued
- 1972
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Bachman, Howard Floyd
- Advisor dc:contributor.advisor
-
- Jones, Frank
Rights
dc:rights- Statement dc:rights
-
- Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/1911/90089
- OAI identifier oai:identifier
- oai:repository.rice.edu:1911/90089