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Elements of the Random Walk 346 pages - hardback Cambridge University Press - (isbn 0-521-82891-0) Mar. 2004 |
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| Price: |
69,60 EUR
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| Author(s): |
Rudnick, Joseph (University of California, Los Angeles) / Gaspari, George (University of California, Santa Cruz)
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| Description: |
Random
walks have proven to be a useful model in understanding processes
across a wide spectrum of scientific disciplines. Elements of the
Random Walk is an introduction to some of the most powerful and general
techniques used in the application of these ideas. The mathematical
construct that runs through the analysis of the topics covered in this
book, unifying the mathematical treatment, is the generating function.
Although the reader is introduced to modern analytical tools, such as
path-integrals and field-theoretical formalism, the book is
self-contained in that basic concepts are developed and relevant
fundamental findings fully discussed. Mathematical background is
provided in supplements at the end of each chapter, when appropriate.
This self-contained text will appeal to graduate students across
science, engineering and mathematics who need to understand the
applications of random walk techniques, as well as to established
researchers.
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| Contents List: |
1.
Introduction to techniques; 2. Generating functions I; 3. Generating
functions II: recurrence, sites visited and the role of dimensionality;
4. Boundary conditions, steady state and the electrostatic analogy; 5.
Variations on the random walk; 6. The shape of a random walk; 7. Path
integrals and self-avoidance; 8. Properties of the random walk:
introduction to scaling; 9. Scaling of walks and critical phenomena;
10. Walks and the O(n) model: mean field theory and spin waves; 11.
Scaling, fractals and renormalization; 12. More on the renormalization
group.
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| Illustrations etc.: |
102 diagrams, 2 tables, 2halftones, 97exercises
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| Weight: | 871 g | |||||||
| Dimensions: | 256 x 180 | |||||||
| Publisher: | Cambridge University Press (Virtual Publishing) | |||||||
| Cambridge University Press (Virtual Publishing) | ||||||||