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This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications.  The authors focus on developing context and intuition before formalizing the theory of each topic, illustrated with examples.

After a review of some background material, the reader is introduced to semigroup theory, including the Hille–Yosida Theorem,  used to construct continuous parameter Markov processes.  Illustrated with examples, it is a cornerstone of Feller’s seminal theory of the most general one-dimensional diffusions studied...

This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications.  The authors focus on developing context and intuition before formalizing the theory of each topic, illustrated with examples.

After a review of some background material, the reader is introduced to semigroup theory, including the Hille–Yosida Theorem,  used to construct continuous parameter Markov processes.  Illustrated with examples, it is a cornerstone of Feller’s seminal theory of the most general one-dimensional diffusions studied...