Remarks on Markov processes having Green functions with isotropic singularity

1973 ◽  
pp. 170-175
Author(s):  
Mamoru Kanda
Keyword(s):  
Markov Processes ◽  
Green Functions

scholarly journals On the Singularity of Green Functions in Markov Processes II

1970 ◽  
Vol 37 ◽  
pp. 209-217 ◽  
Author(s):  
Mamoru Kanda
Keyword(s):  
Markov Processes ◽  
Green Functions

In the previous paper [3] we have studied Green functions with singularity φ ∈ Φ, especially in connection with regular points.

scholarly journals On the Singularity of Green functions in Markov Processes

1968 ◽  
Vol 33 ◽  
pp. 21-52 ◽  
Author(s):  
Mamoru Kanda
Keyword(s):  
Green Function ◽  
Present Article ◽  
Markov Processes ◽  
Stable Process ◽  
Green Functions ◽  
The Green Function

In the previous paper [6] we have discussed Markov processes in Rd with the Green function G (x, y) satisfying are positive constants), and showed that the regular points of its process are the same as those of α-stable process. The present article is closely related to the previous one.

Bilinear Markov Processes of Searching for Moving Targets

2001 ◽  
Vol 33 (5-8) ◽  
pp. 13
Author(s):  
Karen G. Dzyubenko ◽  
Arkadiy A. Chikriy
Keyword(s):  
Markov Processes ◽  
Moving Targets

Hidden Markov Processes

2014 ◽  
Author(s):  
M. Vidyasagar
Keyword(s):  
Hidden Markov Models ◽  
Markov Processes ◽  
Viterbi Algorithm ◽  
Markov Models ◽  
Hidden Markov ◽  
Local Alignment ◽  
Biological Applications ◽  
Standard Material ◽  
Hidden Markov Processes ◽  
Genomics And Proteomics

This book explores important aspects of Markov and hidden Markov processes and the applications of these ideas to various problems in computational biology. It starts from first principles, so that no previous knowledge of probability is necessary. However, the work is rigorous and mathematical, making it useful to engineers and mathematicians, even those not interested in biological applications. A range of exercises is provided, including drills to familiarize the reader with concepts and more advanced problems that require deep thinking about the theory. Biological applications are taken from post-genomic biology, especially genomics and proteomics. The topics examined include standard material such as the Perron–Frobenius theorem, transient and recurrent states, hitting probabilities and hitting times, maximum likelihood estimation, the Viterbi algorithm, and the Baum–Welch algorithm. The book contains discussions of extremely useful topics not usually seen at the basic level, such as ergodicity of Markov processes, Markov Chain Monte Carlo (MCMC), information theory, and large deviation theory for both i.i.d and Markov processes. It also presents state-of-the-art realization theory for hidden Markov models. Among biological applications, it offers an in-depth look at the BLAST (Basic Local Alignment Search Technique) algorithm, including a comprehensive explanation of the underlying theory. Other applications such as profile hidden Markov models are also explored.

Optimal Control of Markov Processes.

1983 ◽  
Author(s):  
Wendell H. Fleming
Keyword(s):  
Optimal Control ◽  
Markov Processes
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