𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Random Walks and Random Environments: Volume 1: Random Walks volume 1

✍ Scribed by Barry D. Hughes

Book ID
127426162
Publisher
Oxford University Press, USA
Year
1995
Tongue
English
Weight
7 MB
Edition
New Edition
Category
Library
City
Oxford
ISBN-13
9780198537885

No coin nor oath required. For personal study only.

✦ Synopsis

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 self-avoiding walk.

✦ Subjects

Теория случайных процессов

📜 SIMILAR VOLUMES

Random Walks and Random Environments: Vo
Random Walks and Random Environments: Volume 2: Random Environments Volume 2
✍ Barry D. Hughes 📂 Library 📅 1996 🏛 Oxford University Press, USA 🌐 English ⚖ 7 MB

This is the second volume of a two-volume work devoted to probability theory in physical chemistry, and engineering. Rather than dealing explicitly with the idea of an ongoing random walk, with each chaotic step taking place at fixed time intervals, this volume addresses models in which the disorder