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MARKOV PROCESSES AND POTENTIAL THEORY (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Authors: Robert M. Blumenthal, Ronald K. Getoor

  • Language: English

  • Edition: Illustrated Edition

  • ISBN: 9780486462639

  • Pages: 320

  • Cover: Paperback

  • Dimensions: 8.5 x 5.4 x 0.7 inches

About The Book

Markov Processes and Potential Theory by Robert M. Blumenthal and Ronald K. Getoor is an advanced text that delves into the intricate relationship between Markov processes and potential theory, along with a detailed exploration of additive functionals. Designed for graduate students, the book assumes familiarity with general measure theory while providing a nearly self-contained treatment of the subject.

The text covers key topics such as Markov processes, excessive functions, multiplicative functionals, subprocesses, and the theory of additive functionals and their potentials. The final chapter focuses on dual processes and potential theory, rounding out the theoretical framework presented in the book.

Throughout, the book includes a variety of exercises to reinforce understanding, as well as notes and comments that offer historical context and references. This scholarly work is ideal for graduate students in mathematics, as well as researchers and professionals in the field of Markov processes and potential theory.