Joseph Rudnick, George Gaspari, Rudnick Joseph

Elements of the Random Walk

An Introduction for Advanced Students and Researchers

• Broschiertes Buch

Produktbeschreibung

A self-contained introduction to the applications of random walk techniques.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 348
• Erscheinungstermin: 1. März 2010
• Englisch
• Abmessung: 244mm x 170mm x 19mm
• Gewicht: 601g
• ISBN-13: 9780521535830
• ISBN-10: 0521535832
• Artikelnr.: 29424726

Inhaltsangabe

Preface
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
References
Index.