Markov Processes Applied to Control, Replacement, and Signal Analysis

Research efforts during this period concentrated on the following topics: (a) Deformation of Solids - work on the topic has progressed to the point where the physical mechanisms of creep can be brought in. (b) Excursions of Markov Processes - Two papers by Salminer are completed in this area. (c) St...

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Bibliographic Details
Main Author: Cinlar,E
Format: Report
Language:English
Subjects:
Brownian motion
Control
Control theory
Deformation
Integrals
Inversion
Markov processes
PE61102F
Queueing theory
Replacement theory
Signals
Solids
Statistics and Probability
Stochastic processes
WUAFOSR2304A5
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Summary:Research efforts during this period concentrated on the following topics: (a) Deformation of Solids - work on the topic has progressed to the point where the physical mechanisms of creep can be brought in. (b) Excursions of Markov Processes - Two papers by Salminer are completed in this area. (c) Stochastic Differential Geometry - Starting with a Brownian motion on a Riemannian manifold, the exit time from a ball is considered. The distribution of the exit time is used to investigate the geometric structure of the manifold. This report summarizes the progress made and lists completed publications resulting from the research. (Author)