Volume 1 can be read without reference to Volume 2. In Volume 1, I expect of the reader only a modest facility in classical analysis, including the theory of functions of a complex variable up to contour integration. Those elements of probability theory which are needed are introduced in Chapter 1 of Volume 1, so that although an acquaintance with elementary probability theory is helpful, it is not essential. Appendices to Volume 1 supply useful results involving special functions and some mathematical techniques which are useful in the study of random walks. Drawing only on Volume 1, a short course on the classical theory of random walks and their applications may be based on the core material of Chapter 1, §2.1 §2.2 of Chapter 2, and Chapters 3, 4, and 6, with a more substantial course drawing on some of Chapter 5, and additional material from Chapter 2. Chapters 1 and 7 are the basis of a course on the selfavoiding walk.

Authors: Hughes B.D.  Pages: 645 Year: 1995 
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