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Elements of the random walk : an introduction for advanced students and researchers /
Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. This self-contained text will appeal to graduate students who need to understand the applications of random walk techniques, as well as to established researchers.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2004.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction to techniques
- Generating functions I
- Generating functions II : recurrence, sites visited, and the role of dimensionality
- Boundary conditions, steady state, and the electrostatic analogy
- Variations on the random walk
- The shape of a random walk
- Path integrals and self-avoidance
- Properties of the random walk : introduction to scaling
- Scaling of walks and critical phenomena
- Walks and the O(n) model : mean field theory and spin waves
- Scaling, fractals, and renormalization
- More on the renormalization group.