A time change relating continuous semi-markov and markov processes

1988 ◽  
pp. 111-123
Author(s):  
B. P. Harlamov
Keyword(s):  
Markov Processes ◽  
Time Change

scholarly journals Some theorems on time change and killing of Markov processes

1963 ◽  
Vol 15 (4) ◽  
pp. 195-219 ◽  
Author(s):  
Masao Nagasawa ◽  
Keniti Sato
Keyword(s):  
Markov Processes ◽  
Time Change

Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35)

2011 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Masatoshi Fukushima
Keyword(s):  
Markov Processes ◽  
Dirichlet Forms ◽  
Additive Functional ◽  
Essential Elements ◽  
Time Change ◽  
Boundary Theory ◽  
Dirichlet Spaces ◽  
Systematic Account ◽  
Symmetric Markov Processes ◽  
The Rich

This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, the book covers the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The book develops the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. It then addresses the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes. This book is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.

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