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The material is however as presented much too advanced for a first graduate course on the subject because of the many dependencies on other advanced aspects of probability theory (e.g. Dirichlet forms, Large Deviations). There is a large collection (100 pages) of appendix matter covering some of these topics, but this material is better as a refresher than as an introduction!
The book is sadly marred, through the publisher's failure to copy-edit the material adequately (which in the past was most unusual for a Springer publication), and gives the impression of being a book in the "Lecture Notes in Mathematics" series, which prints straight from author's camera ready copy, without professional publishing assistance. As a result the book in its current form seems overpriced. There are numerous notational inconsistencies, spelling and grammatical error, and poor English idiom (while English is not the native language of the authors, good copy-editing should have corrected this), poor typography from tex, and worst of all, an ABSYMAL index (two pages for a 400 page book). Unfortunately a combination of these facts makes the book hard to read, since much cross referencing ends up being needed. There is plenty of hope for a second edition.