Elements of the Random Walk: An introduction for Advanced Students and Researchers

ISBN: 9780521535830 出版年：2004 页码：347 Rudnick Gaspari Cambridge University Press

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.