First steps in random walks from tools to applications /
"The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus...
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| Formato: | Recurso Eletrônico livro eletrônico |
| Idioma: | inglês |
| Publicado em: |
Oxford :
Oxford University Press,
2011.
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| Acesso em linha: | An electronic book accessible through the World Wide Web; click to view |
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Sumário:
- 1. Characteristic functions
- 2. Generating functions and applications
- 3. Continuous-time random walks
- 4. CTRW and aging phenomena
- 5. Master equations
- 6. Fractional diffusion and Fokker-Planck equations for subdiffusion
- 7. L�evy flights
- 8. Coupled CTRW and L�evy walks
- 9. Simple reactions : A+B->B
- 10. Random walks on percolation structures.