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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Michelitsch, Thomas (Author), Pérez Riascos, Alejandro (Author), Collet, Bernard (Author), Nowakowski, Andrzej (Author), Nicolleau, F. C. G. A. (Frank C. G. A.) (Author)
Format: Electronic eBook
Language:Inglés
Published: London : Hoboken : ISTE Ltd. ; John Wiley & Sons, Inc., 2019.
Series:Mechanical engineering and solid mechanics series.
Subjects:
Markov processes.
Random walks (Mathematics)
Markov Chains
Processus de Markov.
Marches aléatoires (Mathématiques)
MATHEMATICS > Applied.
MATHEMATICS > Probability & Statistics > General.
Markov processes
Online Access:Texto completo
Table of Contents:
  • 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.

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