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Type of Document	Dissertation
Author	Kennedy, Maurice
URN	etd-01072004-100602
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-01072004-100602
Title	Ergodic theorems for a certain class of Markoff processes
Degree	PhD
Option	Mathematics
Advisory Committee	Advisor Name Title Samuel Karlin Committee Chair
Keywords	none
Date of Defense	1954-01-01
Availability	unrestricted
Abstract NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. A system, whose state may be described by a point t in a bounded set in Euclidean space, is considered. At every unit interval of time, attractions [...] towards certain points [...] are applied with probabilities [...], where t is the state of the system. Given the initial probability distribution [...] for the state of the system, the problem is to obtain limiting theorems for the distribution at the nth unit of time as [...]. Subject to certain conditions on [...] and [...] such convergence theorems are obtained. Some particular properties for the case, where the attractions are toward the vertices of a simplex, are discussed. Finally the one-dimensional learning model is considered.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Kennedy_m_1954.pdf 2.17 Mb 00:10:02 00:05:09 00:04:30 00:02:15 00:00:11