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Fractional dynamics on networks and lattices /
This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Hoboken :
ISTE Ltd. ; John Wiley & Sons, Inc.,
2019.
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| Colección: | Mechanical engineering and solid mechanics series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Michelitsch, Thomas, |e author. | |
| 245 | 1 | 0 | |a Fractional dynamics on networks and lattices / |c Thomas Michelitsch, Alejandro Pérez Riascos, Bernard Collet, Andrzej Nowakowski, Franck Nicolleau. |
| 264 | 1 | |a London : |b ISTE Ltd. ; |a Hoboken : |b John Wiley & Sons, Inc., |c 2019. | |
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Mechanical engineering and solid mechanics series | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed April 15, 2019). | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local "fractional" walks with the emergence of LEvy flights. In Part 2, fractional dynamics and LEvy flight behavior are analyzed thoroughly, and a generalization of POlya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks | ||
| 505 | 0 | |a PART 1. Dynamics on General Networks -- 1. Characterization of Networks: the Laplacian Matrix and its Functions -- 2. The Fractional Laplacian of Networks -- 3. Markovian Random Walks on Undirected Networks -- 4. Random Walks with Long-range Steps on Networks -- 5. Fractional Classical and Quantum Transport on Nnetwork -- 5. Fractional Classical and Quantum Transport on Networks -- Part 2. Dynamics on Lattices -- 6. Explicit Evaluation of the Fractional Matrix of Rings -- 7. Recurrence and Transience of the "Fractional Random Walk" -- 8. Asymptotic Behavior of Markovian Random walks Generated by Laplacian Matrix Functions. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Markov processes. | |
| 650 | 0 | |a Random walks (Mathematics) | |
| 650 | 2 | |a Markov Chains | |
| 650 | 6 | |a Processus de Markov. | |
| 650 | 6 | |a Marches aléatoires (Mathématiques) | |
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| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Markov processes |2 fast | |
| 650 | 7 | |a Random walks (Mathematics) |2 fast | |
| 700 | 1 | |a Pérez Riascos, Alejandro, |e author. | |
| 700 | 1 | |a Collet, Bernard, |e author. | |
| 700 | 1 | |a Nowakowski, Andrzej, |e author. | |
| 700 | 1 | |a Nicolleau, F. C. G. A. |q (Frank C. G. A.), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjwWR3qhMYKjmMFBBkbqkP | |
| 758 | |i has work: |a Fractional dynamics on networks and lattices (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGV8kTdWbfM3CRDBkKvYCP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Michelitsch, Thomas. |t Fractional dynamics on networks and lattices. |d London : ISTE Ltd. ; Hoboken : John Wiley & Sons, Inc., 2019 |w (DLC) 2019930611 |
| 830 | 0 | |a Mechanical engineering and solid mechanics series. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5748891 |z Texto completo |
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